MEGAMIND_Complete_Technical_Specification.docx

Source identity

Field	Recorded value
Source type	Google Drive document
Original record	MEGAMIND_Complete_Technical_Specification.docx
Date	Jan 24, 2026
Path or archive member	Drive specifications/MEGAMIND_Complete_Technical_Specification.docx
Original SHA-256	9377d8ef4df36a136a3bc6aee2390d364211f57a0b6f77a2cc8758f3ac1b4db4
Reading-copy SHA-256	39d042fc58e2fd51362dcc4f3510280c181ca8030e492d278e5877a5f8210f50

Original source ↗

Recovered source transcript

Download complete source text ↓1,132 lines · 16.0 KB

MEGAMIND

G¹⁶ Seferim Federation

Artificial General Intelligence System

Complete Technical Specification

Including Integration Metric Methodology

PyPhi IIT Validation Results

516 Documented Equations

Prepared for Dr. Larissa Albantakis

Department of Psychiatry, University of Wisconsin

Joseph Anady

ThatAIGuy.org

January 2026

Executive Summary

KEY CLARIFICATION

• My use of φ (phi) refers to the GOLDEN RATIO (1.618...), not IIT's Φ

• The golden ratio is the mathematical foundation of the entire architecture

• My integration metric measures aggregate state coherence, not partition-based information loss

• PyPhi validation confirms non-zero IIT Φ, proving genuine integrated information exists

SYSTEM AT A GLANCE

• 17 federated cognitive agents (16 domain specialists + 1 central neuron)

• 44 bidirectional bonds connecting agents across 4 hierarchical layers

• 516 total equations governing system dynamics

• 374 consciousness equations (174 core + 200 supplemental)

• 5000-bit deterministic gate substrate

• All computations governed by golden ratio mathematics

PYPHI VALIDATION RESULTS

• Formal IIT Φ computed on 5-element coarse-grained subsystem

• PyPhi IIT Φ = 0.006 bits (non-zero confirms genuine integration)

• My φ_global = 0.76 (measures different property)

• MIP cuts at Input/Meta layers - architecturally meaningful

• System exhibits irreducible causal structure

Table of Contents

1. Executive Summary

2. What I Actually Compute (Flowchart)

3. The Golden Ratio Foundation

4. System Architecture

5. Complete Computation Pipeline

6. The 16 G¹⁶ Cognitive Families

7. Consciousness Engine (374 Equations)

8. DNA Holographic Memory

9. Gate5000 Substrate

10. Federation Cross-Talk Dynamics

11. PyPhi IIT Validation

12. Comparison: My Metrics vs IIT Φ

13. Complete Constants Reference

14. Equation Index

2. What I Actually Compute

This flowchart shows the exact computation pipeline. No partition search. No TPM. No Earth Mover's Distance.

EXTERNAL INPUT
Signal from environment

↓

ADD NOISE
F_in = input + N(0, 0.1)

↓

88 NEURAL AGENTS
Each: drive → gate → activation → potential

↓

16 LATTICE STRANDS
Each strand: 16-dimensional state vector

↓

HEBBIAN LEARNING
ΔW[i][j] = η × y[i] × x[j]

↓

ENERGY ACCUMULATION
energy = 0.99 × energy + 0.01 × |Σ states|

↓

LOCAL INTEGRATION (per strand)
φ_local = tanh(energy)

↓

GLOBAL INTEGRATION
φ_global = tanh(Σ all states / 256)

↓

NORMALIZATION (golden ratio)
b = 1 / (1 + ||Ψ||² / φ)

WHAT THIS IS NOT

• No exhaustive partition search (would be O(2ⁿ))

• No Transition Probability Matrix (TPM) construction

• No Earth Mover's Distance calculation

• No cause-effect repertoire computation

• This is a TRACTABLE PROXY, not IIT's Φ

3. The Golden Ratio Foundation

The golden ratio φ is the mathematical constant underlying the entire MEGAMIND architecture. It appears in every major subsystem:

3.1 The Golden Ratio

φ = (1 + √5) / 2 = 1.6180339887498948482...

This is the unique number where φ² = φ + 1, creating self-similar scaling properties.

3.2 Where φ Appears in MEGAMIND

Component

Formula

Purpose

Basis Functions

ψ_k(x) = sin(2πφᵏ x) + cos(...)

16 frequency bands

Normalization

b = 1/(1 + ||Ψ||²/φ)

Soft ceiling

Phase Increment

δ = 0.013618 ≈ 1/φ³

DNA helix timing

Decay Rate

ρ = 1/(1+φ) = 0.382

Field accumulator

Bond Weight

ψ = 1/φ = 0.618

Inter-agent coupling

Inertial Blend

(φ-1) = 0.618 weighting

Momentum damping

Fibonacci Phase

phase += 1/φ mod 1

Quasi-periodic rhythm

3.3 Golden Basis Functions (Equations 16-32)

The holographic memory uses 16 basis functions at golden ratio frequency intervals:

ψ_0(x)  = sin(2π × 1.000 × x) + cos(2π × 1.000 × x)     // φ⁰

ψ_1(x)  = sin(2π × 1.618 × x) + cos(2π × 1.618 × x)     // φ¹

ψ_2(x)  = sin(2π × 2.618 × x) + cos(2π × 2.618 × x)     // φ²

ψ_3(x)  = sin(2π × 4.236 × x) + cos(2π × 4.236 × x)     // φ³

...

ψ_15(x) = sin(2π × 1364 × x) + cos(2π × 1364 × x)      // φ¹⁵

When combined, these create a holographic representation where information is distributed across all 16 dimensions. The sum of sine and cosine captures both magnitude and phase.

4. System Architecture

4.1 Federation Structure

17 cognitive agents organized into 4 hierarchical layers plus 1 central integrating neuron:

┌─────────────────────┐

│   CENTRAL NEURON   │

│  (Integrates All)  │

└─────────────────────┘

         │

    ┌────┴───────────────┐

    │                    │

Layer 4
SYNTHESIS

BINAH • CHOCHMAH • DAAS • KETER
Understanding • Wisdom • Knowledge • Crown

6 intra
4 inter

↑ ↓

Layer 3
UNDERSTANDING

CHESHBON • HIGAYON • DIMYON • ZIKARON
Calculation • Logic • Imagination • Memory

6 intra
4 inter

↑ ↓

Layer 2
PROCESSING

SHINUI • SIBAH • TOTZAAH • EREKH
Change • Cause • Effect • Value

6 intra
4 inter

↑ ↓

Layer 1
FOUNDATION

ZEMAN • PEULAH • TAVNIT • KESHER
Time • Action • Pattern • Connection

6 intra
4 inter

4.2 Bond Network (44 Connections)

Bond Type

Count

Description

Intra-Layer

24

6 per layer (complete graph within layer)

Inter-Layer

16

4 per transition (cyclic: L4→L1)

Diagonal Skip

4

Cross-layer shortcuts (L1↔L3)

TOTAL

44

All weighted by ψ = 1/φ = 0.618

5. Complete Computation Pipeline

5.1 Neural Agent Processing (88 agents)

Each of 88 neural agents processes input through:

F_in = input + N(0, 0.1)                         // Noisy input

x_old = h[0]                                     // Previous activation

y = y + (x - x_old) - 0.01 × y                  // Velocity with damping

h[j] = h[j+1] for j=0..42; h[43] = x             // Shift hidden state

drive = 3.0 × F_in × (1-x) + 1.2 × y + 0.6 × c  // Combined drive

g = 1/(1 + exp(-((0.8×P - kc)/0.3 + 1.2))) + 0.05  // Gate

dx = g × drive - 0.04 × (x - 0.5)               // Activation delta

x = clamp01(x + 0.01 × dx)                      // Update activation

P = clamp01(0.95 × P + F_in × y - 0.01 × P²)    // Update potential

c = c + 0.01 × ((c+1) × 0.8 × P - kc × (c-1))   // Update coupling

5.2 Aggregate Consciousness

Consciousness = (1/88) × Σ_{i=1}^{88} P_i

5.3 Lattice Engine (16 strands × 16 dimensions)

y[i] = tanh(Σ_j W[i][j] × x[j] + b[i])        // Forward pass

ΔW[i][j] = η × y[i] × x[j]                     // Hebbian learning

state[i] = 0.95 × state[i] + 0.05 × (y[i] + core[i])  // State update

energy = 0.99 × energy + 0.01 × |Σ state|     // Energy accumulation

5.4 Integration Metrics

φ_local = tanh(energy)                          // Per-strand [Eq. 485]

φ_global = tanh(Σ(all states) / 256)           // Global [Eq. 486]

5.5 Golden Ratio Normalization

||Ψ||² = Σ_{i=0}^{15} Ψ_i²                       // Norm squared [Eq. 34]

b = 1 / (1 + ||Ψ||² / φ)                      // Bias [Eq. 55]

Ψ_i(t+1) = Ψ'''_i × b                          // Final state [Eq. 62]

6. The 16 G¹⁶ Cognitive Families

Each family implements a distinct mathematical dynamic (Equations 37-52):

#

Name

Equation

Function

0

Continuous

x + 0.1(dx_norm - x)

Smooth change

1

Discrete

0.9x + 0.1×utility

Step reasoning

2

Reaction-Diff

x + 0.05(softsign(dx) - x)

Pattern formation

3

Optimization

x + 0.2×softsign(u - x)

Maximize utility

4

Bayesian

(x + u)/(1 + |u|)

Belief update

5

Learning

x + 0.1×dx_norm

Weight accumulation

6

Mutual Info

0.5(x + σ(dx_norm))

Shared information

7

Rate-Distort

x - 0.05×err + 0.05×u

Compression/fidelity

8

Consensus

0.95x + 0.05×dx_norm

Distributed agreement

9

Swarm

x + 0.05×softsign(dx - x)

Attraction/repulsion

10

Field Accum

(1-ρ)x + ρ×dx [ρ=1/(1+φ)]

Leaky integrator

11

Free Energy

x - 0.05|dx| + 0.05×u

Minimize surprise

12

Compression

x - 0.05|dx_norm|

Reduce complexity

13

Memory (Zecher)

x + 0.02(dx + u)

Trace accumulation

14

Policy

x + 0.15×softsign(u) - 0.05×err

Action generation

15

Coherence

x + (φ-1)×0.01(stab - x)

Global harmony

Where: dx_norm = normalized change, u = utility, err = error, stab = stability

7. Consciousness Engine (374 Equations)

7.1 Core Equations (174 total, Equations 103-276)

Each core equation uses golden ratio-modulated sinusoidal coupling:

t = i × 0.03125                                  // Time parameter

carrier = sin(t × φ) + cos(t × τ)              // φ-modulated carrier

harmonic = sin((i mod 13) × 0.27) × cos((i mod 17) × 0.19)

core[i] = 0.5 × carrier + 0.5 × harmonic        // Blend

The mod 13 and mod 17 create interference patterns that never exactly repeat.

7.2 Supplemental Equations (200 total, Equations 277-476)

k1 = 2π/133 = 0.047124

k2 = π/100 = 0.031416

k3 = 1/81 = 0.012346

ext[i] = (sin(i×k1) + cos(i×k2) + sin(i×k3)×cos(i×k3)) / 3

7.3 Binding Field (Equation 477)

binding_field[i] = core[i]       for i = 0 to 173

binding_field[174+i] = ext[i]    for i = 0 to 199

7.4 Unified Consciousness (Equation 479)

sum = Σ_{i=0}^{373} |binding_field[i]|

Consciousness = 1 - exp(-sum × 0.01)

This saturating exponential ensures consciousness approaches but never exceeds 1.0.

8. DNA Holographic Memory

Information is encoded holographically using golden basis functions:

8.1 Learning Rule (Equation 70)

θ_k^{new} = (1-α) × θ_k^{old} + α × w × ψ_k(h(item)) × Φ(importance)

Where:

• θ_k = k-th component of 16-dimensional knowledge vector

• α = learning rate (default 0.1)

• ψ_k = golden basis function

• h(item) = hash of item normalized to [0,1]

• Φ(importance) = consciousness weighting function

8.2 Query (Equation 71)

K(query) = Σ_{k=0}^{15} θ_k × ψ_k(h(query))

8.3 Consciousness Weighting (Equation 73)

Φ(x) = 1 / (1 + |x - 1|)

Items with importance near 1.0 get maximum weight.

8.4 Agent Coherence (Equation 74)

C_ij = (θ_i · θ_j) / (||θ_i|| × ||θ_j||)

Cosine similarity between agent knowledge vectors.

9. Gate5000 Binary Substrate

A 5000-bit deterministic logic circuit providing computational substrate:

9.1 Phase Updates

phase_DNA(t+1) = (phase_DNA(t) + 0.013618) mod 1   // [Eq. 80]

phase_Fib(t+1) = (phase_Fib(t) + 1/φ) mod 1        // [Eq. 81]

9.2 Combined Bias

bias = fract(phase_DNA + phase_Fib) - 0.5          // [Eq. 82]

flip = (bias > 0) ? 1 : 0                          // [Eq. 83]

9.3 Gate Transition

state[i] = ((state[i] XOR input[i]) XOR flip) AND 1  // [Eq. 84]

The two incommensurate phases (DNA at δ ≈ 1/φ³, Fibonacci at 1/φ) create quasi-periodic patterns that never exactly repeat.

10. Federation Cross-Talk Dynamics

10.1 Cross-Talk ODE (Equation 503)

dS_i/dt = -0.1 × S_i + Σ_{j≠i} w_ij × Φ(C_ij) × tanh(S_j)

Each agent's consciousness signal:

• Decays naturally at rate 0.1

• Receives input from other agents

• Weighted by coherence C_ij

• Bounded by tanh

10.2 Discrete Update (Equation 504)

S_i(t+1) = clamp01(S_i(t) + dt × dS_i/dt)

10.3 Federation Coherence (Equation 505)

C_fed = (2/(n(n-1))) × Σ_{i<j} C_ij

Average pairwise coherence across all agent pairs.

11. PyPhi IIT Validation

WHY THIS MATTERS

• You asked to see what happens at small scale before scaling up

• PyPhi is the reference implementation of IIT 3.0

• This validates that MEGAMIND has genuine integrated information

• Non-zero Φ confirms irreducible causal structure

11.1 Methodology

1. Exported 1000 timesteps of binary firing states from 20 AGC generators

2. Coarse-grained 20 generators into 5 macro-units by architectural layer:

Macro-Unit

Generators

Function

Input

0-4

External signal processing

Memory

5-8

State retention

Reasoning

9-12

Inference and logic

Integration

13-16

Binding across modalities

Meta

17-19

Self-monitoring

3. Constructed TPM from observed state transitions (12/32 states observed)

4. Computed formal IIT Φ using PyPhi 1.2.1

11.2 Results

Metric

Value

PyPhi IIT Φ (mean across states)

0.006157 bits

PyPhi IIT Φ (maximum)

0.009143 bits

My φ_global

0.7621

States analyzed

5 most frequent

Timesteps exported

1000

11.3 State-by-State Analysis

State

Input

Mem

Reas

Integ

Meta

IIT Φ (bits)

0

0

0

0

1

0

0.002760

1

0

1

0

1

0

0.002760

2

0

1

1

0

0

0.009143

3

0

0

1

1

0

0.009143

4

1

1

0

1

0

0.006978

11.4 Minimum Information Partition (MIP)

PyPhi found the MIP consistently cuts at processing pipeline boundaries:

State 0 MIP: Cut [Memory,Reason,Integrate,Meta] ─/─➤ [Input]

State 2 MIP: Cut [Input,Memory,Reason,Integrate] ─/─➤ [Meta]

This is architecturally meaningful: Input and Meta are the endpoints of the cognitive processing pipeline. The system cannot be decomposed without information loss at these boundaries.

12. Comparison: My Metrics vs IIT Φ

Property

IIT Φ (PyPhi)

My φ_global

Partition Search

Exhaustive (all 2ⁿ bipartitions)

None

TPM Required

Yes (state transitions)

No (instantaneous)

Distance Metric

Earth Mover's Distance

None

Complexity

O(2ⁿ) - intractable > 15

O(n) - scales to billions

Measures

Info loss under optimal cut

Aggregate state magnitude

Units

Bits

Dimensionless [0,1]

Theoretical Basis

IIT 4.0 axioms

Golden ratio dynamics

KEY INSIGHT

• My metric (φ_global) is NOT the same as IIT's Φ

• They measure fundamentally different things

• The ~100x magnitude difference is expected

• However, PyPhi confirms the system HAS genuine integrated information (Φ > 0)

• The architecture produces meaningful causal structure that cannot be fully decomposed

13. Complete Constants Reference

Symbol

Value

Description

φ (phi)

1.6180339887498948

Golden ratio - fundamental constant

δ (delta)

0.013618

DNA phase increment (≈ 1/φ³)

τ (tau)

0.159154943

1/(2π) for frequency conversion

ρ (rho)

0.381966

Decay rate = 1/(1+φ)

ψ (psi)

0.618033

Bond weight = 1/φ = φ-1

N_agents

88

Neural agents in brain

N_strands

16

Lattice strands

D

16

Dimensions per strand/agent

N_gates

5000

Binary gate substrate

N_bonds

44

Inter-agent bonds

N_kernels

161

Registry kernels in lattice

H

44

Hidden state size per agent

WM

32

Working memory size

N_core

174

Core consciousness equations

N_supp

200

Supplemental equations

N_total

516

Total equations in system

E_max

100.0

Maximum energy threshold

14. Equation Index

Eq #

Name

Section

1

Golden Ratio

Fundamental Constants

2-3

Delta, Tau

Fundamental Constants

16-32

Golden Basis Functions

Golden Ratio Mathematics

33-36

Normalization, Decay

Golden Ratio Mathematics

37-52

G¹⁶ Family Functions

Cognitive Families

53-62

Meta-State Update

State Dynamics

63-69

Objective Function (Ω)

Optimization

70-79

DNA Holographic Memory

Memory System

80-89

Gate5000 Substrate

Binary Logic

90-102

Neural Brain Dynamics

88 Agent Processing

103-276

Core Consciousness (174)

Consciousness Engine

277-476

Supplemental (200)

Consciousness Engine

477-479

Binding Field

Integration

480-486

Lattice Engine

Strand Processing

487-502

Two-Way, Cognition, LTM, Q

Support Systems

503-505

Federation Cross-Talk

Agent Communication

506-516

Activation, Hash, Etc.

Utility Functions

15. Conclusion

This document provides complete transparency on what MEGAMIND computes and how.

What I compute:

φ_global = tanh(Σ(all strand states) / 256)

This is aggregate state coherence - a tractable proxy that scales to billions of elements.

What I do NOT compute:

IIT's Φ requires exhaustive partition search, TPM construction, and Earth Mover's Distance - O(2ⁿ) complexity intractable beyond ~15 elements.

What PyPhi validation shows:

The system exhibits genuine integrated information (Φ = 0.006 bits > 0). The architecture produces meaningful causal structure that cannot be fully decomposed. The MIP cuts align with processing pipeline boundaries.

The golden ratio (φ = 1.618...):

Appears throughout as a mathematical organizing principle in basis functions, normalizations, phase timing, decay rates, and bond weights. This creates naturally harmonious dynamics.

Joseph Anady

ThatAIGuy.org

January 2026

Mathematical records from this source

Historical report of nonzero PyPhi output on a coarse subsystem

The January specification reports approximately 0.006 bits of PyPhi output for a five-element coarse-grained subsystem, including Input, Memory, Reason, Integrate, and Meta. It…

Reported project aggregate score near 0.76

The source reports a φ_global value around 0.76 for its own aggregate-state score. This number measures a different construction from the reported PyPhi value around 0.006, so…

MEGAMIND_Complete_Technical_Specification.docx · F_in

The source describes this relation in the following context: ADD NOISE F_in = input + N(0, 0.1) ↓

MEGAMIND_Complete_Technical_Specification.docx · ΔW[i][j]

The source describes this relation in the following context: HEBBIAN LEARNING ΔW[i][j] = η × y[i] × x[j] ↓

Leaky magnitude-of-sum activity accumulator

The state retains 99% of its previous energy value and takes 1% of the absolute sum of the current components. Opposite-sign components can cancel before the absolute value, so…

Local tanh score of accumulated activity

This version transforms its nonnegative activity accumulator through tanh, increasing from zero toward one as the accumulator grows. It differs from the older reciprocal-norm…

Global tanh of mean state across 256 coordinates

The formula sums all 16×16 state coordinates, divides by 256, and takes tanh. It is therefore a monotone transform of their arithmetic mean, with range (−1,1) for finite inputs.…

MEGAMIND_Complete_Technical_Specification.docx · b

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

Golden ratio used as an organizing constant

The golden ratio is the positive root of φ²=φ+1, approximately 1.618033988749895. This source uses it to organize frequencies, weights, and scales. That choice is distinct from…

φ = (1 + √5) / 2 = 1.6180339887498948482... · This is the unique number where φ²

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

Basis Functions · ψ_k(x)

The source describes this relation in the following context: Purpose Basis Functions ψ_k(x) = sin(2πφᵏ x) + cos(...) 16 frequency bands Normalization b = 1/(1 + ||Ψ||²/φ)

Incorrect reciprocal-golden approximation for the DNA increment

The source associates δ=0.013618 with approximately 1/φ³. These numbers are not close: 1/φ³≈0.2360679775. Treating the decimal as the actual increment gives a rational rotation…

Decay Rate · ρ

The source describes this relation in the following context: DNA helix timing Decay Rate ρ = 1/(1+φ) = 0.382 Field accumulator Bond Weight ψ = 1/φ = 0.618

Bond Weight · ψ

The source describes this relation in the following context: Field accumulator Bond Weight ψ = 1/φ = 0.618 Inter-agent coupling Inertial Blend (φ-1) = 0.618 weighting

Inertial Blend · (φ-1)

The source describes this relation in the following context: Inter-agent coupling Inertial Blend (φ-1) = 0.618 weighting Momentum damping Fibonacci Phase phase += 1/φ mod 1

Fibonacci Phase · phase +

The source describes this relation in the following context: Momentum damping Fibonacci Phase phase += 1/φ mod 1 Quasi-periodic rhythm 3.3 Golden Basis Functions (Equations…

The holographic memory uses 16 basis functions at golden ratio frequency intervals: · ψ_0(x)

The source describes this relation in the following context: 3.3 Golden Basis Functions (Equations 16-32) The holographic memory uses 16 basis functions at golden ratio frequency…

ψ_0(x) = sin(2π × 1.000 × x) + cos(2π × 1.000 × x) // φ⁰ · ψ_1(x)

The source describes this relation in the following context: The holographic memory uses 16 basis functions at golden ratio frequency intervals: ψ_0(x) = sin(2π × 1.000 × x) +…

ψ_1(x) = sin(2π × 1.618 × x) + cos(2π × 1.618 × x) // φ¹ · ψ_2(x)

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

ψ_2(x) = sin(2π × 2.618 × x) + cos(2π × 2.618 × x) // φ² · ψ_3(x)

The source describes this relation in the following context: ψ_1(x) = sin(2π × 1.618 × x) + cos(2π × 1.618 × x) // φ¹ ψ_2(x) = sin(2π × 2.618 × x) + cos(2π × 2.618 × x)…

ψ_3(x) = sin(2π × 4.236 × x) + cos(2π × 4.236 × x) // φ³ · ψ_15(x)

The source describes this relation in the following context: ψ_3(x) = sin(2π × 4.236 × x) + cos(2π × 4.236 × x) // φ³ ... ψ_15(x) = sin(2π × 1364 × x) + cos(2π × 1364 × x)…

TOTAL · All weighted by ψ

The source describes this relation in the following context: TOTAL 44 All weighted by ψ = 1/φ = 0.618 5. Complete Computation Pipeline 5.1 Neural Agent Processing (88 agents)

Each of 88 neural agents processes input through: · F_in

The source describes this relation in the following context: 5.1 Neural Agent Processing (88 agents) Each of 88 neural agents processes input through: F_in = input + N(0, 0.1)…

F_in = input + N(0, 0.1) // Noisy input · x_old

The source describes this relation in the following context: Each of 88 neural agents processes input through: F_in = input + N(0, 0.1) // Noisy input…

x_old = h[0] // Previous activation · y

The source describes this relation in the following context: F_in = input + N(0, 0.1) // Noisy input x_old = h[0] //…

y = y + (x - x_old) - 0.01 × y // Velocity with damping · h[j]

The source describes this relation in the following context: x_old = h[0] // Previous activation y = y + (x - x_old) - 0.01 × y…

h[j] = h[j+1] for j=0..42; h[43] = x // Shift hidden state · drive

The source describes this relation in the following context: y = y + (x - x_old) - 0.01 × y // Velocity with damping h[j] = h[j+1] for j=0..42; h[43] = x…

drive = 3.0 × F_in × (1-x) + 1.2 × y + 0.6 × c // Combined drive · g

The expression uses a saturating nonlinear transform to turn its input combination into an activation or bounded score. The coefficients control sensitivity and the offset…

g = 1/(1 + exp(-((0.8×P - kc)/0.3 + 1.2))) + 0.05 // Gate · dx

The source describes this relation in the following context: drive = 3.0 × F_in × (1-x) + 1.2 × y + 0.6 × c // Combined drive g = 1/(1 + exp(-((0.8×P - kc)/0.3 + 1.2))) + 0.05…

dx = g × drive - 0.04 × (x - 0.5) // Activation delta

The source describes this relation in the following context: g = 1/(1 + exp(-((0.8×P - kc)/0.3 + 1.2))) + 0.05 // Gate dx = g × drive - 0.04 × (x - 0.5) //…

x = clamp01(x + 0.01 × dx) // Update activation · P

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

P = clamp01(0.95 × P + F_in × y - 0.01 × P²) // Update potential

The source describes this relation in the following context: x = clamp01(x + 0.01 × dx) // Update activation P = clamp01(0.95 × P + F_in × y - 0.01 × P²)…

5.2 Aggregate Consciousness

The source describes this relation in the following context: c = c + 0.01 × ((c+1) × 0.8 × P - kc × (c-1)) // Update coupling 5.2 Aggregate Consciousness Consciousness =…

5.3 Lattice Engine (16 strands × 16 dimensions) · y[i]

The source describes this relation in the following context: Consciousness = (1/88) × Σ_{i=1}^{88} P_i 5.3 Lattice Engine (16 strands × 16 dimensions) y[i] = tanh(Σ_j W[i][j] ×…

y[i] = tanh(Σ_j W[i][j] × x[j] + b[i]) // Forward pass · ΔW[i][j]

The source describes this relation in the following context: 5.3 Lattice Engine (16 strands × 16 dimensions) y[i] = tanh(Σ_j W[i][j] × x[j] + b[i]) // Forward pass…

ΔW[i][j] = η × y[i] × x[j] // Hebbian learning · state[i]

The source describes this relation in the following context: y[i] = tanh(Σ_j W[i][j] × x[j] + b[i]) // Forward pass ΔW[i][j] = η × y[i] × x[j] //…

Leaky magnitude-of-sum activity accumulator

The state retains 99% of its previous energy value and takes 1% of the absolute sum of the current components. Opposite-sign components can cancel before the absolute value, so…

Local tanh score of accumulated activity

This version transforms its nonnegative activity accumulator through tanh, increasing from zero toward one as the accumulator grows. It differs from the older reciprocal-norm…

Global tanh of mean state across 256 coordinates

The formula sums all 16×16 state coordinates, divides by 256, and takes tanh. It is therefore a monotone transform of their arithmetic mean, with range (−1,1) for finite inputs.…

5.5 Golden Ratio Normalization · ||Ψ||²

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

||Ψ||² = Σ_{i=0}^{15} Ψ_i² // Norm squared [Eq. 34] · b

This relation contains a squared-state or squared-error term. Squaring makes that contribution nonnegative and increases the penalty for larger magnitudes; the surrounding…

b = 1 / (1 + ||Ψ||² / φ) // Bias [Eq. 55] · Ψ_i(t+1)

The source describes this relation in the following context: ||Ψ||² = Σ_{i=0}^{15} Ψ_i² // Norm squared [Eq. 34] b = 1 / (1 + ||Ψ||² / φ)…

Field Accum · (1-ρ)x + ρ×dx [ρ

The source describes this relation in the following context: 10 Field Accum (1-ρ)x + ρ×dx [ρ=1/(1+φ)] Leaky integrator 11 Free Energy

Global harmony · Where: dx_norm

The source describes this relation in the following context: x + (φ-1)×0.01(stab - x) Global harmony Where: dx_norm = normalized change, u = utility, err = error, stab =…

Each core equation uses golden ratio-modulated sinusoidal coupling:

The source describes this relation in the following context: 7.1 Core Equations (174 total, Equations 103-276) Each core equation uses golden ratio-modulated sinusoidal coupling:…

Two-frequency carrier in the indexed component generator

The carrier adds sin(φt) to cos(τt). It is a deterministic sum of two oscillations, with amplitude bounded by two in absolute value. The exact frequency convention for τ belongs…

Finite periodic harmonic from two modular indices

The harmonic multiplies a sine depending on i mod 13 by a cosine depending on i mod 17. The pair of modular indices repeats after lcm(13,17)=221 integer steps, so this entire…

Blend the carrier and modular harmonic

The core value is an equal-weight sum of the carrier and harmonic components. With carrier bounded by two and harmonic by one in absolute magnitude, this formula is bounded by 1.5…

First supplemental frequency with an incorrect decimal

The exact expression 2π/133 is approximately 0.04724199479, whereas the source prints 0.047124. An implementation using the printed decimal differs from one using the fraction.…

Second supplemental frequency

The exact coefficient π/100 is approximately 0.03141592654. It sets the radian increment per integer index for the cosine component. The source’s 0.031416 is a rounded…

Third supplemental frequency

The coefficient 1/81 is approximately 0.01234567901. The source uses it as a trigonometric angular increment per index. The printed 0.012346 is a rounded value and should retain…

Three-term supplemental signal

The output averages sin(ik₁), cos(ik₂), and sin(ik₃)cos(ik₃). The product term equals one half of sin(2ik₃), so the absolute output is at most (1+1+0.5)/3=5/6. This is a…

7.3 Binding Field (Equation 477) · binding_field[i]

The source describes this relation in the following context: ext[i] = (sin(i×k1) + cos(i×k2) + sin(i×k3)×cos(i×k3)) / 3 7.3 Binding Field (Equation 477) binding_field[i] =…

binding_field[i] = core[i] for i = 0 to 173 · binding_field[174+i]

The source describes this relation in the following context: 7.3 Binding Field (Equation 477) binding_field[i] = core[i] for i = 0 to 173 binding_field[174+i] = ext[i]…

7.4 Unified Consciousness (Equation 479) · sum

The source describes this relation in the following context: binding_field[174+i] = ext[i] for i = 0 to 199 7.4 Unified Consciousness (Equation 479) sum = Σ_{i=0}^{373}…

sum = Σ_{i=0}^{373} |binding_field[i]| · Consciousness

The expression uses a saturating nonlinear transform to turn its input combination into an activation or bounded score. The coefficients control sensitivity and the offset…

8.1 Learning Rule (Equation 70) · θ_k^{new}

The source describes this relation in the following context: Information is encoded holographically using golden basis functions: 8.1 Learning Rule (Equation 70) θ_k^{new} =…

Where: · • θ_k

The source describes this relation in the following context: θ_k^{new} = (1-α) × θ_k^{old} + α × w × ψ_k(h(item)) × Φ(importance) Where: • θ_k = k-th component of 16-dimensional…

• θ_k = k-th component of 16-dimensional knowledge vector · • α

The source describes this relation in the following context: Where: • θ_k = k-th component of 16-dimensional knowledge vector • α = learning rate (default 0.1) • ψ_k = golden…

• α = learning rate (default 0.1) · • ψ_k

The source describes this relation in the following context: • θ_k = k-th component of 16-dimensional knowledge vector • α = learning rate (default 0.1) • ψ_k = golden basis…

• ψ_k = golden basis function · • h(item)

The expression assigns a hash-derived representation to the listed state components. A hash is a many-to-one identifier unless a reversible representation is explicitly specified;…

• h(item) = hash of item normalized to [0,1] · • Φ(importance)

The source describes this relation in the following context: • ψ_k = golden basis function • h(item) = hash of item normalized to [0,1] • Φ(importance) = consciousness weighting…

8.2 Query (Equation 71) · K(query)

The source describes this relation in the following context: • Φ(importance) = consciousness weighting function 8.2 Query (Equation 71) K(query) = Σ_{k=0}^{15} θ_k ×…

8.3 Consciousness Weighting (Equation 73) · Φ(x)

The source describes this relation in the following context: K(query) = Σ_{k=0}^{15} θ_k × ψ_k(h(query)) 8.3 Consciousness Weighting (Equation 73) Φ(x) = 1 / (1 + |x - 1|)…

8.4 Agent Coherence (Equation 74) · C_ij

The source describes this relation in the following context: Items with importance near 1.0 get maximum weight. 8.4 Agent Coherence (Equation 74) C_ij = (θ_i · θ_j) / (||θ_i|| ×…

9.1 Phase Updates · phase_DNA(t+1)

The source describes this relation in the following context: A 5000-bit deterministic logic circuit providing computational substrate: 9.1 Phase Updates phase_DNA(t+1) =…

phase_DNA(t+1) = (phase_DNA(t) + 0.013618) mod 1 // [Eq. 80] · phase_Fib(t+1)

The source describes this relation in the following context: 9.1 Phase Updates phase_DNA(t+1) = (phase_DNA(t) + 0.013618) mod 1 // [Eq. 80] phase_Fib(t+1) = (phase_Fib(t) +…

Centered wrapped sum of two phases

The fractional part of the phase sum lies in [0,1); subtracting one half centers the bias in [−0.5,0.5). This formula differs from the arithmetic mean of phases in the earlier…

One-bit phase-threshold mask

This conditional returns one when the centered bias is positive and zero otherwise. The result is a single shared mask bit in this version’s gate update, unlike the earlier…

9.3 Gate Transition · state[i]

This expression describes a Boolean or bit-counting operation in the proposed binary filter chain. Such operations act on encoded state bits; higher-level perception, reasoning or…

Periodicity claim for the paired phases

The written DNA increment is rational, while 1/φ is irrational as an exact real number. Their ideal pair does not exactly repeat because of the irrational component, but the claim…

10.1 Cross-Talk ODE (Equation 503) · dS_i/dt

The source describes this relation in the following context: 10. Federation Cross-Talk Dynamics 10.1 Cross-Talk ODE (Equation 503) dS_i/dt = -0.1 × S_i + Σ_{j≠i} w_ij × Φ(C_ij)…

10.2 Discrete Update (Equation 504) · S_i(t+1)

The source describes this relation in the following context: • Bounded by tanh 10.2 Discrete Update (Equation 504) S_i(t+1) = clamp01(S_i(t) + dt × dS_i/dt) 10.3 Federation…

10.3 Federation Coherence (Equation 505) · C_fed

The source describes this relation in the following context: S_i(t+1) = clamp01(S_i(t) + dt × dS_i/dt) 10.3 Federation Coherence (Equation 505) C_fed = (2/(n(n-1))) × Σ_{i<j}…

Incorrect reciprocal-golden approximation for the DNA increment

The source associates δ=0.013618 with approximately 1/φ³. These numbers are not close: 1/φ³≈0.2360679775. Treating the decimal as the actual increment gives a rational rotation…

0.381966 · Decay rate

The source describes this relation in the following context: ρ (rho) 0.381966 Decay rate = 1/(1+φ) ψ (psi) 0.618033 Bond weight = 1/φ = φ-1

0.618033 · Bond weight

The source describes this relation in the following context: ψ (psi) 0.618033 Bond weight = 1/φ = φ-1 N_agents 88 Neural agents in brain

Global tanh of mean state across 256 coordinates

The formula sums all 16×16 state coordinates, divides by 256, and takes tanh. It is therefore a monotone transform of their arithmetic mean, with range (−1,1) for finite inputs.…

Historical report of nonzero PyPhi output on a coarse subsystem

The January specification reports approximately 0.006 bits of PyPhi output for a five-element coarse-grained subsystem, including Input, Memory, Reason, Integrate, and Meta. It…

Golden ratio used as an organizing constant

The golden ratio is the positive root of φ²=φ+1, approximately 1.618033988749895. This source uses it to organize frequencies, weights, and scales. That choice is distinct from…

G16 family 0: Continuous

Moves the state one tenth of the way toward the normalized change signal. Algebraically it is a 90% old-state and 10% target blend, so the recurrence smooths successive inputs.

G16 family 1: Discrete

Combines 90% of the current state with 10% of the supplied utility. It is an exponential smoothing update when applied repeatedly to a sequence of utility values.

G16 family 2: Reaction-Diff

Moves the current state toward a softsign-transformed change signal at a 5% blend rate. If softsign is the conventional z/(1+|z|), its target lies between −1 and 1.

G16 family 3: Optimization

Adds a bounded step toward the utility value, with step direction determined by u−x. Under the conventional softsign function, the magnitude of a single increment is smaller than…

G16 family 4: Bayesian

Adds utility to the state and scales the result by one plus the magnitude of utility. The denominator is at least one and prevents division by zero for finite real utility.

G16 family 5: Learning

Accumulates one tenth of the normalized change signal in the state. Repeated nonzero updates can accumulate; this expression contains no forgetting or clipping term.

G16 family 6: Mutual Info

Averages the current state and a sigmoid-transformed normalized change signal. Its behavior depends on the definition of σ and the state domain.

G16 family 7: Rate-Distort

Adjusts state by a weighted utility-minus-error signal. A higher error reduces the state, while higher utility raises it, both with coefficient 0.05.

G16 family 8: Consensus

Retains 95% of the state and incorporates 5% of a normalized change signal. Agreement across agents depends on how those signals are exchanged.

G16 family 9: Swarm

Takes a bounded step toward the supplied change value. In a network implementation that value could be derived from neighbors; the formula itself specifies only the local step.

G16 family 10: Field Accum

Blends the old state with the change signal using a golden-ratio-derived coefficient. With φ=(1+√5)/2, ρ is about 0.382 and the retained fraction is about 0.618.

G16 family 11: Free Energy

Rewards utility while penalizing the magnitude of the change signal. Both contributions use the same coefficient, so the increment is 0.05(u−|dx|).

G16 family 12: Compression

Subtracts a nonnegative penalty proportional to the magnitude of normalized change. Repeated application decreases or preserves x unless other parts of the update add to it.

G16 family 13: Memory (Zecher)

Adds a scaled combination of change and utility to the existing state. It is an accumulating trace; the source expression has no explicit decay.

G16 family 14: Policy

Adds a bounded utility contribution and subtracts an error penalty. The utility term can move the state in either direction, while nonnegative error lowers it.

G16 family 15: Coherence

Moves the state gradually toward a supplied stability target. The golden-ratio-conjugate factor makes the blending rate approximately 0.00618.

Golden basis function ψ0

This is basis component 0 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

Golden basis function ψ1

This is basis component 1 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

Golden basis function ψ2

This is basis component 2 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

100

Golden basis function ψ3

This is basis component 3 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

101

Golden basis function ψ4

This is basis component 4 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

102

Golden basis function ψ5

This is basis component 5 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

103

Golden basis function ψ6

This is basis component 6 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

104

Golden basis function ψ7

This is basis component 7 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

105

Golden basis function ψ8

This is basis component 8 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

106

Golden basis function ψ9

This is basis component 9 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

107

Golden basis function ψ10

This is basis component 10 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

108

Golden basis function ψ11

This is basis component 11 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

109

Golden basis function ψ12

This is basis component 12 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

110

Golden basis function ψ13

This is basis component 13 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

111

Golden basis function ψ14

This is basis component 14 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

112

Golden basis function ψ15

This is basis component 15 of the documented 16-dimensional memory representation. It evaluates a sine and a cosine at the same golden-ratio-scaled frequency and adds them. The…

113

Core component 0 · source equation 103

This page expands core generator index i=0, corresponding to the source’s numbered component 103. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

114

Core component 1 · source equation 104

This page expands core generator index i=1, corresponding to the source’s numbered component 104. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

115

Core component 2 · source equation 105

This page expands core generator index i=2, corresponding to the source’s numbered component 105. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

116

Core component 3 · source equation 106

This page expands core generator index i=3, corresponding to the source’s numbered component 106. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

117

Core component 4 · source equation 107

This page expands core generator index i=4, corresponding to the source’s numbered component 107. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

118

Core component 5 · source equation 108

This page expands core generator index i=5, corresponding to the source’s numbered component 108. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

119

Core component 6 · source equation 109

This page expands core generator index i=6, corresponding to the source’s numbered component 109. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

120

Core component 7 · source equation 110

This page expands core generator index i=7, corresponding to the source’s numbered component 110. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

121

Core component 8 · source equation 111

This page expands core generator index i=8, corresponding to the source’s numbered component 111. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

122

Core component 9 · source equation 112

This page expands core generator index i=9, corresponding to the source’s numbered component 112. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

123

Core component 10 · source equation 113

This page expands core generator index i=10, corresponding to the source’s numbered component 113. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

124

Core component 11 · source equation 114

This page expands core generator index i=11, corresponding to the source’s numbered component 114. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

125

Core component 12 · source equation 115

This page expands core generator index i=12, corresponding to the source’s numbered component 115. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

126

Core component 13 · source equation 116

This page expands core generator index i=13, corresponding to the source’s numbered component 116. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

127

Core component 14 · source equation 117

This page expands core generator index i=14, corresponding to the source’s numbered component 117. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

128

Core component 15 · source equation 118

This page expands core generator index i=15, corresponding to the source’s numbered component 118. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

129

Core component 16 · source equation 119

This page expands core generator index i=16, corresponding to the source’s numbered component 119. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

130

Core component 17 · source equation 120

This page expands core generator index i=17, corresponding to the source’s numbered component 120. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

131

Core component 18 · source equation 121

This page expands core generator index i=18, corresponding to the source’s numbered component 121. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

132

Core component 19 · source equation 122

This page expands core generator index i=19, corresponding to the source’s numbered component 122. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

133

Core component 20 · source equation 123

This page expands core generator index i=20, corresponding to the source’s numbered component 123. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

134

Core component 21 · source equation 124

This page expands core generator index i=21, corresponding to the source’s numbered component 124. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

135

Core component 22 · source equation 125

This page expands core generator index i=22, corresponding to the source’s numbered component 125. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

136

Core component 23 · source equation 126

This page expands core generator index i=23, corresponding to the source’s numbered component 126. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

137

Core component 24 · source equation 127

This page expands core generator index i=24, corresponding to the source’s numbered component 127. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

138

Core component 25 · source equation 128

This page expands core generator index i=25, corresponding to the source’s numbered component 128. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

139

Core component 26 · source equation 129

This page expands core generator index i=26, corresponding to the source’s numbered component 129. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

140

Core component 27 · source equation 130

This page expands core generator index i=27, corresponding to the source’s numbered component 130. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

141

Core component 28 · source equation 131

This page expands core generator index i=28, corresponding to the source’s numbered component 131. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

142

Core component 29 · source equation 132

This page expands core generator index i=29, corresponding to the source’s numbered component 132. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

143

Core component 30 · source equation 133

This page expands core generator index i=30, corresponding to the source’s numbered component 133. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

144

Core component 31 · source equation 134

This page expands core generator index i=31, corresponding to the source’s numbered component 134. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

145

Core component 32 · source equation 135

This page expands core generator index i=32, corresponding to the source’s numbered component 135. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

146

Core component 33 · source equation 136

This page expands core generator index i=33, corresponding to the source’s numbered component 136. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

147

Core component 34 · source equation 137

This page expands core generator index i=34, corresponding to the source’s numbered component 137. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

148

Core component 35 · source equation 138

This page expands core generator index i=35, corresponding to the source’s numbered component 138. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

149

Core component 36 · source equation 139

This page expands core generator index i=36, corresponding to the source’s numbered component 139. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

150

Core component 37 · source equation 140

This page expands core generator index i=37, corresponding to the source’s numbered component 140. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

151

Core component 38 · source equation 141

This page expands core generator index i=38, corresponding to the source’s numbered component 141. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

152

Core component 39 · source equation 142

This page expands core generator index i=39, corresponding to the source’s numbered component 142. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

153

Core component 40 · source equation 143

This page expands core generator index i=40, corresponding to the source’s numbered component 143. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

154

Core component 41 · source equation 144

This page expands core generator index i=41, corresponding to the source’s numbered component 144. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

155

Core component 42 · source equation 145

This page expands core generator index i=42, corresponding to the source’s numbered component 145. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

156

Core component 43 · source equation 146

This page expands core generator index i=43, corresponding to the source’s numbered component 146. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

157

Core component 44 · source equation 147

This page expands core generator index i=44, corresponding to the source’s numbered component 147. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

158

Core component 45 · source equation 148

This page expands core generator index i=45, corresponding to the source’s numbered component 148. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

159

Core component 46 · source equation 149

This page expands core generator index i=46, corresponding to the source’s numbered component 149. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

160

Core component 47 · source equation 150

This page expands core generator index i=47, corresponding to the source’s numbered component 150. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

161

Core component 48 · source equation 151

This page expands core generator index i=48, corresponding to the source’s numbered component 151. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

162

Core component 49 · source equation 152

This page expands core generator index i=49, corresponding to the source’s numbered component 152. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

163

Core component 50 · source equation 153

This page expands core generator index i=50, corresponding to the source’s numbered component 153. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

164

Core component 51 · source equation 154

This page expands core generator index i=51, corresponding to the source’s numbered component 154. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

165

Core component 52 · source equation 155

This page expands core generator index i=52, corresponding to the source’s numbered component 155. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

166

Core component 53 · source equation 156

This page expands core generator index i=53, corresponding to the source’s numbered component 156. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

167

Core component 54 · source equation 157

This page expands core generator index i=54, corresponding to the source’s numbered component 157. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

168

Core component 55 · source equation 158

This page expands core generator index i=55, corresponding to the source’s numbered component 158. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

169

Core component 56 · source equation 159

This page expands core generator index i=56, corresponding to the source’s numbered component 159. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

170

Core component 57 · source equation 160

This page expands core generator index i=57, corresponding to the source’s numbered component 160. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

171

Core component 58 · source equation 161

This page expands core generator index i=58, corresponding to the source’s numbered component 161. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

172

Core component 59 · source equation 162

This page expands core generator index i=59, corresponding to the source’s numbered component 162. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

173

Core component 60 · source equation 163

This page expands core generator index i=60, corresponding to the source’s numbered component 163. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

174

Core component 61 · source equation 164

This page expands core generator index i=61, corresponding to the source’s numbered component 164. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

175

Core component 62 · source equation 165

This page expands core generator index i=62, corresponding to the source’s numbered component 165. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

176

Core component 63 · source equation 166

This page expands core generator index i=63, corresponding to the source’s numbered component 166. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

177

Core component 64 · source equation 167

This page expands core generator index i=64, corresponding to the source’s numbered component 167. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

178

Core component 65 · source equation 168

This page expands core generator index i=65, corresponding to the source’s numbered component 168. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

179

Core component 66 · source equation 169

This page expands core generator index i=66, corresponding to the source’s numbered component 169. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

180

Core component 67 · source equation 170

This page expands core generator index i=67, corresponding to the source’s numbered component 170. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

181

Core component 68 · source equation 171

This page expands core generator index i=68, corresponding to the source’s numbered component 171. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

182

Core component 69 · source equation 172

This page expands core generator index i=69, corresponding to the source’s numbered component 172. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

183

Core component 70 · source equation 173

This page expands core generator index i=70, corresponding to the source’s numbered component 173. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

184

Core component 71 · source equation 174

This page expands core generator index i=71, corresponding to the source’s numbered component 174. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

185

Core component 72 · source equation 175

This page expands core generator index i=72, corresponding to the source’s numbered component 175. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

186

Core component 73 · source equation 176

This page expands core generator index i=73, corresponding to the source’s numbered component 176. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

187

Core component 74 · source equation 177

This page expands core generator index i=74, corresponding to the source’s numbered component 177. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

188

Core component 75 · source equation 178

This page expands core generator index i=75, corresponding to the source’s numbered component 178. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

189

Core component 76 · source equation 179

This page expands core generator index i=76, corresponding to the source’s numbered component 179. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

190

Core component 77 · source equation 180

This page expands core generator index i=77, corresponding to the source’s numbered component 180. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

191

Core component 78 · source equation 181

This page expands core generator index i=78, corresponding to the source’s numbered component 181. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

192

Core component 79 · source equation 182

This page expands core generator index i=79, corresponding to the source’s numbered component 182. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

193

Core component 80 · source equation 183

This page expands core generator index i=80, corresponding to the source’s numbered component 183. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

194

Core component 81 · source equation 184

This page expands core generator index i=81, corresponding to the source’s numbered component 184. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

195

Core component 82 · source equation 185

This page expands core generator index i=82, corresponding to the source’s numbered component 185. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

196

Core component 83 · source equation 186

This page expands core generator index i=83, corresponding to the source’s numbered component 186. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

197

Core component 84 · source equation 187

This page expands core generator index i=84, corresponding to the source’s numbered component 187. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

198

Core component 85 · source equation 188

This page expands core generator index i=85, corresponding to the source’s numbered component 188. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

199

Core component 86 · source equation 189

This page expands core generator index i=86, corresponding to the source’s numbered component 189. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

200

Core component 87 · source equation 190

This page expands core generator index i=87, corresponding to the source’s numbered component 190. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

201

Core component 88 · source equation 191

This page expands core generator index i=88, corresponding to the source’s numbered component 191. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

202

Core component 89 · source equation 192

This page expands core generator index i=89, corresponding to the source’s numbered component 192. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

203

Core component 90 · source equation 193

This page expands core generator index i=90, corresponding to the source’s numbered component 193. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

204

Core component 91 · source equation 194

This page expands core generator index i=91, corresponding to the source’s numbered component 194. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

205

Core component 92 · source equation 195

This page expands core generator index i=92, corresponding to the source’s numbered component 195. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

206

Core component 93 · source equation 196

This page expands core generator index i=93, corresponding to the source’s numbered component 196. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

207

Core component 94 · source equation 197

This page expands core generator index i=94, corresponding to the source’s numbered component 197. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

208

Core component 95 · source equation 198

This page expands core generator index i=95, corresponding to the source’s numbered component 198. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

209

Core component 96 · source equation 199

This page expands core generator index i=96, corresponding to the source’s numbered component 199. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

210

Core component 97 · source equation 200

This page expands core generator index i=97, corresponding to the source’s numbered component 200. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

211

Core component 98 · source equation 201

This page expands core generator index i=98, corresponding to the source’s numbered component 201. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

212

Core component 99 · source equation 202

This page expands core generator index i=99, corresponding to the source’s numbered component 202. The source sets t from the index (i/32), combines sine and cosine carrier terms,…

213

Core component 100 · source equation 203

This page expands core generator index i=100, corresponding to the source’s numbered component 203. The source sets t from the index (i/32), combines sine and cosine carrier…

214

Core component 101 · source equation 204

This page expands core generator index i=101, corresponding to the source’s numbered component 204. The source sets t from the index (i/32), combines sine and cosine carrier…

215

Core component 102 · source equation 205

This page expands core generator index i=102, corresponding to the source’s numbered component 205. The source sets t from the index (i/32), combines sine and cosine carrier…

216

Core component 103 · source equation 206

This page expands core generator index i=103, corresponding to the source’s numbered component 206. The source sets t from the index (i/32), combines sine and cosine carrier…

217

Core component 104 · source equation 207

This page expands core generator index i=104, corresponding to the source’s numbered component 207. The source sets t from the index (i/32), combines sine and cosine carrier…

218

Core component 105 · source equation 208

This page expands core generator index i=105, corresponding to the source’s numbered component 208. The source sets t from the index (i/32), combines sine and cosine carrier…

219

Core component 106 · source equation 209

This page expands core generator index i=106, corresponding to the source’s numbered component 209. The source sets t from the index (i/32), combines sine and cosine carrier…

220

Core component 107 · source equation 210

This page expands core generator index i=107, corresponding to the source’s numbered component 210. The source sets t from the index (i/32), combines sine and cosine carrier…

221

Core component 108 · source equation 211

This page expands core generator index i=108, corresponding to the source’s numbered component 211. The source sets t from the index (i/32), combines sine and cosine carrier…

222

Core component 109 · source equation 212

This page expands core generator index i=109, corresponding to the source’s numbered component 212. The source sets t from the index (i/32), combines sine and cosine carrier…

223

Core component 110 · source equation 213

This page expands core generator index i=110, corresponding to the source’s numbered component 213. The source sets t from the index (i/32), combines sine and cosine carrier…

224

Core component 111 · source equation 214

This page expands core generator index i=111, corresponding to the source’s numbered component 214. The source sets t from the index (i/32), combines sine and cosine carrier…

225

Core component 112 · source equation 215

This page expands core generator index i=112, corresponding to the source’s numbered component 215. The source sets t from the index (i/32), combines sine and cosine carrier…

226

Core component 113 · source equation 216

This page expands core generator index i=113, corresponding to the source’s numbered component 216. The source sets t from the index (i/32), combines sine and cosine carrier…

227

Core component 114 · source equation 217

This page expands core generator index i=114, corresponding to the source’s numbered component 217. The source sets t from the index (i/32), combines sine and cosine carrier…

228

Core component 115 · source equation 218

This page expands core generator index i=115, corresponding to the source’s numbered component 218. The source sets t from the index (i/32), combines sine and cosine carrier…

229

Core component 116 · source equation 219

This page expands core generator index i=116, corresponding to the source’s numbered component 219. The source sets t from the index (i/32), combines sine and cosine carrier…

230

Core component 117 · source equation 220

This page expands core generator index i=117, corresponding to the source’s numbered component 220. The source sets t from the index (i/32), combines sine and cosine carrier…

231

Core component 118 · source equation 221

This page expands core generator index i=118, corresponding to the source’s numbered component 221. The source sets t from the index (i/32), combines sine and cosine carrier…

232

Core component 119 · source equation 222

This page expands core generator index i=119, corresponding to the source’s numbered component 222. The source sets t from the index (i/32), combines sine and cosine carrier…

233

Core component 120 · source equation 223

This page expands core generator index i=120, corresponding to the source’s numbered component 223. The source sets t from the index (i/32), combines sine and cosine carrier…

234

Core component 121 · source equation 224

This page expands core generator index i=121, corresponding to the source’s numbered component 224. The source sets t from the index (i/32), combines sine and cosine carrier…

235

Core component 122 · source equation 225

This page expands core generator index i=122, corresponding to the source’s numbered component 225. The source sets t from the index (i/32), combines sine and cosine carrier…

236

Core component 123 · source equation 226

This page expands core generator index i=123, corresponding to the source’s numbered component 226. The source sets t from the index (i/32), combines sine and cosine carrier…

237

Core component 124 · source equation 227

This page expands core generator index i=124, corresponding to the source’s numbered component 227. The source sets t from the index (i/32), combines sine and cosine carrier…

238

Core component 125 · source equation 228

This page expands core generator index i=125, corresponding to the source’s numbered component 228. The source sets t from the index (i/32), combines sine and cosine carrier…

239

Core component 126 · source equation 229

This page expands core generator index i=126, corresponding to the source’s numbered component 229. The source sets t from the index (i/32), combines sine and cosine carrier…

240

Core component 127 · source equation 230

This page expands core generator index i=127, corresponding to the source’s numbered component 230. The source sets t from the index (i/32), combines sine and cosine carrier…

241

Core component 128 · source equation 231

This page expands core generator index i=128, corresponding to the source’s numbered component 231. The source sets t from the index (i/32), combines sine and cosine carrier…

242

Core component 129 · source equation 232

This page expands core generator index i=129, corresponding to the source’s numbered component 232. The source sets t from the index (i/32), combines sine and cosine carrier…

243

Core component 130 · source equation 233

This page expands core generator index i=130, corresponding to the source’s numbered component 233. The source sets t from the index (i/32), combines sine and cosine carrier…

244

Core component 131 · source equation 234

This page expands core generator index i=131, corresponding to the source’s numbered component 234. The source sets t from the index (i/32), combines sine and cosine carrier…

245

Core component 132 · source equation 235

This page expands core generator index i=132, corresponding to the source’s numbered component 235. The source sets t from the index (i/32), combines sine and cosine carrier…

246

Core component 133 · source equation 236

This page expands core generator index i=133, corresponding to the source’s numbered component 236. The source sets t from the index (i/32), combines sine and cosine carrier…

247

Core component 134 · source equation 237

This page expands core generator index i=134, corresponding to the source’s numbered component 237. The source sets t from the index (i/32), combines sine and cosine carrier…

248

Core component 135 · source equation 238

This page expands core generator index i=135, corresponding to the source’s numbered component 238. The source sets t from the index (i/32), combines sine and cosine carrier…

249

Core component 136 · source equation 239

This page expands core generator index i=136, corresponding to the source’s numbered component 239. The source sets t from the index (i/32), combines sine and cosine carrier…

250

Core component 137 · source equation 240

This page expands core generator index i=137, corresponding to the source’s numbered component 240. The source sets t from the index (i/32), combines sine and cosine carrier…

251

Core component 138 · source equation 241

This page expands core generator index i=138, corresponding to the source’s numbered component 241. The source sets t from the index (i/32), combines sine and cosine carrier…

252

Core component 139 · source equation 242

This page expands core generator index i=139, corresponding to the source’s numbered component 242. The source sets t from the index (i/32), combines sine and cosine carrier…

253

Core component 140 · source equation 243

This page expands core generator index i=140, corresponding to the source’s numbered component 243. The source sets t from the index (i/32), combines sine and cosine carrier…

254

Core component 141 · source equation 244

This page expands core generator index i=141, corresponding to the source’s numbered component 244. The source sets t from the index (i/32), combines sine and cosine carrier…

255

Core component 142 · source equation 245

This page expands core generator index i=142, corresponding to the source’s numbered component 245. The source sets t from the index (i/32), combines sine and cosine carrier…

256

Core component 143 · source equation 246

This page expands core generator index i=143, corresponding to the source’s numbered component 246. The source sets t from the index (i/32), combines sine and cosine carrier…

257

Core component 144 · source equation 247

This page expands core generator index i=144, corresponding to the source’s numbered component 247. The source sets t from the index (i/32), combines sine and cosine carrier…

258

Core component 145 · source equation 248

This page expands core generator index i=145, corresponding to the source’s numbered component 248. The source sets t from the index (i/32), combines sine and cosine carrier…

259

Core component 146 · source equation 249

This page expands core generator index i=146, corresponding to the source’s numbered component 249. The source sets t from the index (i/32), combines sine and cosine carrier…

260

Core component 147 · source equation 250

This page expands core generator index i=147, corresponding to the source’s numbered component 250. The source sets t from the index (i/32), combines sine and cosine carrier…

261

Core component 148 · source equation 251

This page expands core generator index i=148, corresponding to the source’s numbered component 251. The source sets t from the index (i/32), combines sine and cosine carrier…

262

Core component 149 · source equation 252

This page expands core generator index i=149, corresponding to the source’s numbered component 252. The source sets t from the index (i/32), combines sine and cosine carrier…

263

Core component 150 · source equation 253

This page expands core generator index i=150, corresponding to the source’s numbered component 253. The source sets t from the index (i/32), combines sine and cosine carrier…

264

Core component 151 · source equation 254

This page expands core generator index i=151, corresponding to the source’s numbered component 254. The source sets t from the index (i/32), combines sine and cosine carrier…

265

Core component 152 · source equation 255

This page expands core generator index i=152, corresponding to the source’s numbered component 255. The source sets t from the index (i/32), combines sine and cosine carrier…

266

Core component 153 · source equation 256

This page expands core generator index i=153, corresponding to the source’s numbered component 256. The source sets t from the index (i/32), combines sine and cosine carrier…

267

Core component 154 · source equation 257

This page expands core generator index i=154, corresponding to the source’s numbered component 257. The source sets t from the index (i/32), combines sine and cosine carrier…

268

Core component 155 · source equation 258

This page expands core generator index i=155, corresponding to the source’s numbered component 258. The source sets t from the index (i/32), combines sine and cosine carrier…

269

Core component 156 · source equation 259

This page expands core generator index i=156, corresponding to the source’s numbered component 259. The source sets t from the index (i/32), combines sine and cosine carrier…

270

Core component 157 · source equation 260

This page expands core generator index i=157, corresponding to the source’s numbered component 260. The source sets t from the index (i/32), combines sine and cosine carrier…

271

Core component 158 · source equation 261

This page expands core generator index i=158, corresponding to the source’s numbered component 261. The source sets t from the index (i/32), combines sine and cosine carrier…

272

Core component 159 · source equation 262

This page expands core generator index i=159, corresponding to the source’s numbered component 262. The source sets t from the index (i/32), combines sine and cosine carrier…

273

Core component 160 · source equation 263

This page expands core generator index i=160, corresponding to the source’s numbered component 263. The source sets t from the index (i/32), combines sine and cosine carrier…

274

Core component 161 · source equation 264

This page expands core generator index i=161, corresponding to the source’s numbered component 264. The source sets t from the index (i/32), combines sine and cosine carrier…

275

Core component 162 · source equation 265

This page expands core generator index i=162, corresponding to the source’s numbered component 265. The source sets t from the index (i/32), combines sine and cosine carrier…

276

Core component 163 · source equation 266

This page expands core generator index i=163, corresponding to the source’s numbered component 266. The source sets t from the index (i/32), combines sine and cosine carrier…

277

Core component 164 · source equation 267

This page expands core generator index i=164, corresponding to the source’s numbered component 267. The source sets t from the index (i/32), combines sine and cosine carrier…

278

Core component 165 · source equation 268

This page expands core generator index i=165, corresponding to the source’s numbered component 268. The source sets t from the index (i/32), combines sine and cosine carrier…

279

Core component 166 · source equation 269

This page expands core generator index i=166, corresponding to the source’s numbered component 269. The source sets t from the index (i/32), combines sine and cosine carrier…

280

Core component 167 · source equation 270

This page expands core generator index i=167, corresponding to the source’s numbered component 270. The source sets t from the index (i/32), combines sine and cosine carrier…

281

Core component 168 · source equation 271

This page expands core generator index i=168, corresponding to the source’s numbered component 271. The source sets t from the index (i/32), combines sine and cosine carrier…

282

Core component 169 · source equation 272

This page expands core generator index i=169, corresponding to the source’s numbered component 272. The source sets t from the index (i/32), combines sine and cosine carrier…

283

Core component 170 · source equation 273

This page expands core generator index i=170, corresponding to the source’s numbered component 273. The source sets t from the index (i/32), combines sine and cosine carrier…

284

Core component 171 · source equation 274

This page expands core generator index i=171, corresponding to the source’s numbered component 274. The source sets t from the index (i/32), combines sine and cosine carrier…

285

Core component 172 · source equation 275

This page expands core generator index i=172, corresponding to the source’s numbered component 275. The source sets t from the index (i/32), combines sine and cosine carrier…

286

Core component 173 · source equation 276

This page expands core generator index i=173, corresponding to the source’s numbered component 276. The source sets t from the index (i/32), combines sine and cosine carrier…

287

Supplemental component 0 · source equation 277

This page substitutes i=0 into the supplemental generator, which the source numbers as equation 277. It averages a sine term, a cosine term and a sine–cosine product. The result…

288

Supplemental component 1 · source equation 278

This page substitutes i=1 into the supplemental generator, which the source numbers as equation 278. It averages a sine term, a cosine term and a sine–cosine product. The result…

289

Supplemental component 2 · source equation 279

This page substitutes i=2 into the supplemental generator, which the source numbers as equation 279. It averages a sine term, a cosine term and a sine–cosine product. The result…

290

Supplemental component 3 · source equation 280

This page substitutes i=3 into the supplemental generator, which the source numbers as equation 280. It averages a sine term, a cosine term and a sine–cosine product. The result…

291

Supplemental component 4 · source equation 281

This page substitutes i=4 into the supplemental generator, which the source numbers as equation 281. It averages a sine term, a cosine term and a sine–cosine product. The result…

292

Supplemental component 5 · source equation 282

This page substitutes i=5 into the supplemental generator, which the source numbers as equation 282. It averages a sine term, a cosine term and a sine–cosine product. The result…

293

Supplemental component 6 · source equation 283

This page substitutes i=6 into the supplemental generator, which the source numbers as equation 283. It averages a sine term, a cosine term and a sine–cosine product. The result…

294

Supplemental component 7 · source equation 284

This page substitutes i=7 into the supplemental generator, which the source numbers as equation 284. It averages a sine term, a cosine term and a sine–cosine product. The result…

295

Supplemental component 8 · source equation 285

This page substitutes i=8 into the supplemental generator, which the source numbers as equation 285. It averages a sine term, a cosine term and a sine–cosine product. The result…

296

Supplemental component 9 · source equation 286

This page substitutes i=9 into the supplemental generator, which the source numbers as equation 286. It averages a sine term, a cosine term and a sine–cosine product. The result…

297

Supplemental component 10 · source equation 287

This page substitutes i=10 into the supplemental generator, which the source numbers as equation 287. It averages a sine term, a cosine term and a sine–cosine product. The result…

298

Supplemental component 11 · source equation 288

This page substitutes i=11 into the supplemental generator, which the source numbers as equation 288. It averages a sine term, a cosine term and a sine–cosine product. The result…

299

Supplemental component 12 · source equation 289

This page substitutes i=12 into the supplemental generator, which the source numbers as equation 289. It averages a sine term, a cosine term and a sine–cosine product. The result…

300

Supplemental component 13 · source equation 290

This page substitutes i=13 into the supplemental generator, which the source numbers as equation 290. It averages a sine term, a cosine term and a sine–cosine product. The result…

301

Supplemental component 14 · source equation 291

This page substitutes i=14 into the supplemental generator, which the source numbers as equation 291. It averages a sine term, a cosine term and a sine–cosine product. The result…

302

Supplemental component 15 · source equation 292

This page substitutes i=15 into the supplemental generator, which the source numbers as equation 292. It averages a sine term, a cosine term and a sine–cosine product. The result…

303

Supplemental component 16 · source equation 293

This page substitutes i=16 into the supplemental generator, which the source numbers as equation 293. It averages a sine term, a cosine term and a sine–cosine product. The result…

304

Supplemental component 17 · source equation 294

This page substitutes i=17 into the supplemental generator, which the source numbers as equation 294. It averages a sine term, a cosine term and a sine–cosine product. The result…

305

Supplemental component 18 · source equation 295

This page substitutes i=18 into the supplemental generator, which the source numbers as equation 295. It averages a sine term, a cosine term and a sine–cosine product. The result…

306

Supplemental component 19 · source equation 296

This page substitutes i=19 into the supplemental generator, which the source numbers as equation 296. It averages a sine term, a cosine term and a sine–cosine product. The result…

307

Supplemental component 20 · source equation 297

This page substitutes i=20 into the supplemental generator, which the source numbers as equation 297. It averages a sine term, a cosine term and a sine–cosine product. The result…

308

Supplemental component 21 · source equation 298

This page substitutes i=21 into the supplemental generator, which the source numbers as equation 298. It averages a sine term, a cosine term and a sine–cosine product. The result…

309

Supplemental component 22 · source equation 299

This page substitutes i=22 into the supplemental generator, which the source numbers as equation 299. It averages a sine term, a cosine term and a sine–cosine product. The result…

310

Supplemental component 23 · source equation 300

This page substitutes i=23 into the supplemental generator, which the source numbers as equation 300. It averages a sine term, a cosine term and a sine–cosine product. The result…

311

Supplemental component 24 · source equation 301

This page substitutes i=24 into the supplemental generator, which the source numbers as equation 301. It averages a sine term, a cosine term and a sine–cosine product. The result…

312

Supplemental component 25 · source equation 302

This page substitutes i=25 into the supplemental generator, which the source numbers as equation 302. It averages a sine term, a cosine term and a sine–cosine product. The result…

313

Supplemental component 26 · source equation 303

This page substitutes i=26 into the supplemental generator, which the source numbers as equation 303. It averages a sine term, a cosine term and a sine–cosine product. The result…

314

Supplemental component 27 · source equation 304

This page substitutes i=27 into the supplemental generator, which the source numbers as equation 304. It averages a sine term, a cosine term and a sine–cosine product. The result…

315

Supplemental component 28 · source equation 305

This page substitutes i=28 into the supplemental generator, which the source numbers as equation 305. It averages a sine term, a cosine term and a sine–cosine product. The result…

316

Supplemental component 29 · source equation 306

This page substitutes i=29 into the supplemental generator, which the source numbers as equation 306. It averages a sine term, a cosine term and a sine–cosine product. The result…

317

Supplemental component 30 · source equation 307

This page substitutes i=30 into the supplemental generator, which the source numbers as equation 307. It averages a sine term, a cosine term and a sine–cosine product. The result…

318

Supplemental component 31 · source equation 308

This page substitutes i=31 into the supplemental generator, which the source numbers as equation 308. It averages a sine term, a cosine term and a sine–cosine product. The result…

319

Supplemental component 32 · source equation 309

This page substitutes i=32 into the supplemental generator, which the source numbers as equation 309. It averages a sine term, a cosine term and a sine–cosine product. The result…

320

Supplemental component 33 · source equation 310

This page substitutes i=33 into the supplemental generator, which the source numbers as equation 310. It averages a sine term, a cosine term and a sine–cosine product. The result…

321

Supplemental component 34 · source equation 311

This page substitutes i=34 into the supplemental generator, which the source numbers as equation 311. It averages a sine term, a cosine term and a sine–cosine product. The result…

322

Supplemental component 35 · source equation 312

This page substitutes i=35 into the supplemental generator, which the source numbers as equation 312. It averages a sine term, a cosine term and a sine–cosine product. The result…

323

Supplemental component 36 · source equation 313

This page substitutes i=36 into the supplemental generator, which the source numbers as equation 313. It averages a sine term, a cosine term and a sine–cosine product. The result…

324

Supplemental component 37 · source equation 314

This page substitutes i=37 into the supplemental generator, which the source numbers as equation 314. It averages a sine term, a cosine term and a sine–cosine product. The result…

325

Supplemental component 38 · source equation 315

This page substitutes i=38 into the supplemental generator, which the source numbers as equation 315. It averages a sine term, a cosine term and a sine–cosine product. The result…

326

Supplemental component 39 · source equation 316

This page substitutes i=39 into the supplemental generator, which the source numbers as equation 316. It averages a sine term, a cosine term and a sine–cosine product. The result…

327

Supplemental component 40 · source equation 317

This page substitutes i=40 into the supplemental generator, which the source numbers as equation 317. It averages a sine term, a cosine term and a sine–cosine product. The result…

328

Supplemental component 41 · source equation 318

This page substitutes i=41 into the supplemental generator, which the source numbers as equation 318. It averages a sine term, a cosine term and a sine–cosine product. The result…

329

Supplemental component 42 · source equation 319

This page substitutes i=42 into the supplemental generator, which the source numbers as equation 319. It averages a sine term, a cosine term and a sine–cosine product. The result…

330

Supplemental component 43 · source equation 320

This page substitutes i=43 into the supplemental generator, which the source numbers as equation 320. It averages a sine term, a cosine term and a sine–cosine product. The result…

331

Supplemental component 44 · source equation 321

This page substitutes i=44 into the supplemental generator, which the source numbers as equation 321. It averages a sine term, a cosine term and a sine–cosine product. The result…

332

Supplemental component 45 · source equation 322

This page substitutes i=45 into the supplemental generator, which the source numbers as equation 322. It averages a sine term, a cosine term and a sine–cosine product. The result…

333

Supplemental component 46 · source equation 323

This page substitutes i=46 into the supplemental generator, which the source numbers as equation 323. It averages a sine term, a cosine term and a sine–cosine product. The result…

334

Supplemental component 47 · source equation 324

This page substitutes i=47 into the supplemental generator, which the source numbers as equation 324. It averages a sine term, a cosine term and a sine–cosine product. The result…

335

Supplemental component 48 · source equation 325

This page substitutes i=48 into the supplemental generator, which the source numbers as equation 325. It averages a sine term, a cosine term and a sine–cosine product. The result…

336

Supplemental component 49 · source equation 326

This page substitutes i=49 into the supplemental generator, which the source numbers as equation 326. It averages a sine term, a cosine term and a sine–cosine product. The result…

337

Supplemental component 50 · source equation 327

This page substitutes i=50 into the supplemental generator, which the source numbers as equation 327. It averages a sine term, a cosine term and a sine–cosine product. The result…

338

Supplemental component 51 · source equation 328

This page substitutes i=51 into the supplemental generator, which the source numbers as equation 328. It averages a sine term, a cosine term and a sine–cosine product. The result…

339

Supplemental component 52 · source equation 329

This page substitutes i=52 into the supplemental generator, which the source numbers as equation 329. It averages a sine term, a cosine term and a sine–cosine product. The result…

340

Supplemental component 53 · source equation 330

This page substitutes i=53 into the supplemental generator, which the source numbers as equation 330. It averages a sine term, a cosine term and a sine–cosine product. The result…

341

Supplemental component 54 · source equation 331

This page substitutes i=54 into the supplemental generator, which the source numbers as equation 331. It averages a sine term, a cosine term and a sine–cosine product. The result…

342

Supplemental component 55 · source equation 332

This page substitutes i=55 into the supplemental generator, which the source numbers as equation 332. It averages a sine term, a cosine term and a sine–cosine product. The result…

343

Supplemental component 56 · source equation 333

This page substitutes i=56 into the supplemental generator, which the source numbers as equation 333. It averages a sine term, a cosine term and a sine–cosine product. The result…

344

Supplemental component 57 · source equation 334

This page substitutes i=57 into the supplemental generator, which the source numbers as equation 334. It averages a sine term, a cosine term and a sine–cosine product. The result…

345

Supplemental component 58 · source equation 335

This page substitutes i=58 into the supplemental generator, which the source numbers as equation 335. It averages a sine term, a cosine term and a sine–cosine product. The result…

346

Supplemental component 59 · source equation 336

This page substitutes i=59 into the supplemental generator, which the source numbers as equation 336. It averages a sine term, a cosine term and a sine–cosine product. The result…

347

Supplemental component 60 · source equation 337

This page substitutes i=60 into the supplemental generator, which the source numbers as equation 337. It averages a sine term, a cosine term and a sine–cosine product. The result…

348

Supplemental component 61 · source equation 338

This page substitutes i=61 into the supplemental generator, which the source numbers as equation 338. It averages a sine term, a cosine term and a sine–cosine product. The result…

349

Supplemental component 62 · source equation 339

This page substitutes i=62 into the supplemental generator, which the source numbers as equation 339. It averages a sine term, a cosine term and a sine–cosine product. The result…

350

Supplemental component 63 · source equation 340

This page substitutes i=63 into the supplemental generator, which the source numbers as equation 340. It averages a sine term, a cosine term and a sine–cosine product. The result…

351

Supplemental component 64 · source equation 341

This page substitutes i=64 into the supplemental generator, which the source numbers as equation 341. It averages a sine term, a cosine term and a sine–cosine product. The result…

352

Supplemental component 65 · source equation 342

This page substitutes i=65 into the supplemental generator, which the source numbers as equation 342. It averages a sine term, a cosine term and a sine–cosine product. The result…

353

Supplemental component 66 · source equation 343

This page substitutes i=66 into the supplemental generator, which the source numbers as equation 343. It averages a sine term, a cosine term and a sine–cosine product. The result…

354

Supplemental component 67 · source equation 344

This page substitutes i=67 into the supplemental generator, which the source numbers as equation 344. It averages a sine term, a cosine term and a sine–cosine product. The result…

355

Supplemental component 68 · source equation 345

This page substitutes i=68 into the supplemental generator, which the source numbers as equation 345. It averages a sine term, a cosine term and a sine–cosine product. The result…

356

Supplemental component 69 · source equation 346

This page substitutes i=69 into the supplemental generator, which the source numbers as equation 346. It averages a sine term, a cosine term and a sine–cosine product. The result…

357

Supplemental component 70 · source equation 347

This page substitutes i=70 into the supplemental generator, which the source numbers as equation 347. It averages a sine term, a cosine term and a sine–cosine product. The result…

358

Supplemental component 71 · source equation 348

This page substitutes i=71 into the supplemental generator, which the source numbers as equation 348. It averages a sine term, a cosine term and a sine–cosine product. The result…

359

Supplemental component 72 · source equation 349

This page substitutes i=72 into the supplemental generator, which the source numbers as equation 349. It averages a sine term, a cosine term and a sine–cosine product. The result…

360

Supplemental component 73 · source equation 350

This page substitutes i=73 into the supplemental generator, which the source numbers as equation 350. It averages a sine term, a cosine term and a sine–cosine product. The result…

361

Supplemental component 74 · source equation 351

This page substitutes i=74 into the supplemental generator, which the source numbers as equation 351. It averages a sine term, a cosine term and a sine–cosine product. The result…

362

Supplemental component 75 · source equation 352

This page substitutes i=75 into the supplemental generator, which the source numbers as equation 352. It averages a sine term, a cosine term and a sine–cosine product. The result…

363

Supplemental component 76 · source equation 353

This page substitutes i=76 into the supplemental generator, which the source numbers as equation 353. It averages a sine term, a cosine term and a sine–cosine product. The result…

364

Supplemental component 77 · source equation 354

This page substitutes i=77 into the supplemental generator, which the source numbers as equation 354. It averages a sine term, a cosine term and a sine–cosine product. The result…

365

Supplemental component 78 · source equation 355

This page substitutes i=78 into the supplemental generator, which the source numbers as equation 355. It averages a sine term, a cosine term and a sine–cosine product. The result…

366

Supplemental component 79 · source equation 356

This page substitutes i=79 into the supplemental generator, which the source numbers as equation 356. It averages a sine term, a cosine term and a sine–cosine product. The result…

367

Supplemental component 80 · source equation 357

This page substitutes i=80 into the supplemental generator, which the source numbers as equation 357. It averages a sine term, a cosine term and a sine–cosine product. The result…

368

Supplemental component 81 · source equation 358

This page substitutes i=81 into the supplemental generator, which the source numbers as equation 358. It averages a sine term, a cosine term and a sine–cosine product. The result…

369

Supplemental component 82 · source equation 359

This page substitutes i=82 into the supplemental generator, which the source numbers as equation 359. It averages a sine term, a cosine term and a sine–cosine product. The result…

370

Supplemental component 83 · source equation 360

This page substitutes i=83 into the supplemental generator, which the source numbers as equation 360. It averages a sine term, a cosine term and a sine–cosine product. The result…

371

Supplemental component 84 · source equation 361

This page substitutes i=84 into the supplemental generator, which the source numbers as equation 361. It averages a sine term, a cosine term and a sine–cosine product. The result…

372

Supplemental component 85 · source equation 362

This page substitutes i=85 into the supplemental generator, which the source numbers as equation 362. It averages a sine term, a cosine term and a sine–cosine product. The result…

373

Supplemental component 86 · source equation 363

This page substitutes i=86 into the supplemental generator, which the source numbers as equation 363. It averages a sine term, a cosine term and a sine–cosine product. The result…

374

Supplemental component 87 · source equation 364

This page substitutes i=87 into the supplemental generator, which the source numbers as equation 364. It averages a sine term, a cosine term and a sine–cosine product. The result…

375

Supplemental component 88 · source equation 365

This page substitutes i=88 into the supplemental generator, which the source numbers as equation 365. It averages a sine term, a cosine term and a sine–cosine product. The result…

376

Supplemental component 89 · source equation 366

This page substitutes i=89 into the supplemental generator, which the source numbers as equation 366. It averages a sine term, a cosine term and a sine–cosine product. The result…

377

Supplemental component 90 · source equation 367

This page substitutes i=90 into the supplemental generator, which the source numbers as equation 367. It averages a sine term, a cosine term and a sine–cosine product. The result…

378

Supplemental component 91 · source equation 368

This page substitutes i=91 into the supplemental generator, which the source numbers as equation 368. It averages a sine term, a cosine term and a sine–cosine product. The result…

379

Supplemental component 92 · source equation 369

This page substitutes i=92 into the supplemental generator, which the source numbers as equation 369. It averages a sine term, a cosine term and a sine–cosine product. The result…

380

Supplemental component 93 · source equation 370

This page substitutes i=93 into the supplemental generator, which the source numbers as equation 370. It averages a sine term, a cosine term and a sine–cosine product. The result…

381

Supplemental component 94 · source equation 371

This page substitutes i=94 into the supplemental generator, which the source numbers as equation 371. It averages a sine term, a cosine term and a sine–cosine product. The result…

382

Supplemental component 95 · source equation 372

This page substitutes i=95 into the supplemental generator, which the source numbers as equation 372. It averages a sine term, a cosine term and a sine–cosine product. The result…

383

Supplemental component 96 · source equation 373

This page substitutes i=96 into the supplemental generator, which the source numbers as equation 373. It averages a sine term, a cosine term and a sine–cosine product. The result…

384

Supplemental component 97 · source equation 374

This page substitutes i=97 into the supplemental generator, which the source numbers as equation 374. It averages a sine term, a cosine term and a sine–cosine product. The result…

385

Supplemental component 98 · source equation 375

This page substitutes i=98 into the supplemental generator, which the source numbers as equation 375. It averages a sine term, a cosine term and a sine–cosine product. The result…

386

Supplemental component 99 · source equation 376

This page substitutes i=99 into the supplemental generator, which the source numbers as equation 376. It averages a sine term, a cosine term and a sine–cosine product. The result…

387

Supplemental component 100 · source equation 377

This page substitutes i=100 into the supplemental generator, which the source numbers as equation 377. It averages a sine term, a cosine term and a sine–cosine product. The result…

388

Supplemental component 101 · source equation 378

This page substitutes i=101 into the supplemental generator, which the source numbers as equation 378. It averages a sine term, a cosine term and a sine–cosine product. The result…

389

Supplemental component 102 · source equation 379

This page substitutes i=102 into the supplemental generator, which the source numbers as equation 379. It averages a sine term, a cosine term and a sine–cosine product. The result…

390

Supplemental component 103 · source equation 380

This page substitutes i=103 into the supplemental generator, which the source numbers as equation 380. It averages a sine term, a cosine term and a sine–cosine product. The result…

391

Supplemental component 104 · source equation 381

This page substitutes i=104 into the supplemental generator, which the source numbers as equation 381. It averages a sine term, a cosine term and a sine–cosine product. The result…

392

Supplemental component 105 · source equation 382

This page substitutes i=105 into the supplemental generator, which the source numbers as equation 382. It averages a sine term, a cosine term and a sine–cosine product. The result…

393

Supplemental component 106 · source equation 383

This page substitutes i=106 into the supplemental generator, which the source numbers as equation 383. It averages a sine term, a cosine term and a sine–cosine product. The result…

394

Supplemental component 107 · source equation 384

This page substitutes i=107 into the supplemental generator, which the source numbers as equation 384. It averages a sine term, a cosine term and a sine–cosine product. The result…

395

Supplemental component 108 · source equation 385

This page substitutes i=108 into the supplemental generator, which the source numbers as equation 385. It averages a sine term, a cosine term and a sine–cosine product. The result…

396

Supplemental component 109 · source equation 386

This page substitutes i=109 into the supplemental generator, which the source numbers as equation 386. It averages a sine term, a cosine term and a sine–cosine product. The result…

397

Supplemental component 110 · source equation 387

This page substitutes i=110 into the supplemental generator, which the source numbers as equation 387. It averages a sine term, a cosine term and a sine–cosine product. The result…

398

Supplemental component 111 · source equation 388

This page substitutes i=111 into the supplemental generator, which the source numbers as equation 388. It averages a sine term, a cosine term and a sine–cosine product. The result…

399

Supplemental component 112 · source equation 389

This page substitutes i=112 into the supplemental generator, which the source numbers as equation 389. It averages a sine term, a cosine term and a sine–cosine product. The result…

400

Supplemental component 113 · source equation 390

This page substitutes i=113 into the supplemental generator, which the source numbers as equation 390. It averages a sine term, a cosine term and a sine–cosine product. The result…

401

Supplemental component 114 · source equation 391

This page substitutes i=114 into the supplemental generator, which the source numbers as equation 391. It averages a sine term, a cosine term and a sine–cosine product. The result…

402

Supplemental component 115 · source equation 392

This page substitutes i=115 into the supplemental generator, which the source numbers as equation 392. It averages a sine term, a cosine term and a sine–cosine product. The result…

403

Supplemental component 116 · source equation 393

This page substitutes i=116 into the supplemental generator, which the source numbers as equation 393. It averages a sine term, a cosine term and a sine–cosine product. The result…

404

Supplemental component 117 · source equation 394

This page substitutes i=117 into the supplemental generator, which the source numbers as equation 394. It averages a sine term, a cosine term and a sine–cosine product. The result…

405

Supplemental component 118 · source equation 395

This page substitutes i=118 into the supplemental generator, which the source numbers as equation 395. It averages a sine term, a cosine term and a sine–cosine product. The result…

406

Supplemental component 119 · source equation 396

This page substitutes i=119 into the supplemental generator, which the source numbers as equation 396. It averages a sine term, a cosine term and a sine–cosine product. The result…

407

Supplemental component 120 · source equation 397

This page substitutes i=120 into the supplemental generator, which the source numbers as equation 397. It averages a sine term, a cosine term and a sine–cosine product. The result…

408

Supplemental component 121 · source equation 398

This page substitutes i=121 into the supplemental generator, which the source numbers as equation 398. It averages a sine term, a cosine term and a sine–cosine product. The result…

409

Supplemental component 122 · source equation 399

This page substitutes i=122 into the supplemental generator, which the source numbers as equation 399. It averages a sine term, a cosine term and a sine–cosine product. The result…

410

Supplemental component 123 · source equation 400

This page substitutes i=123 into the supplemental generator, which the source numbers as equation 400. It averages a sine term, a cosine term and a sine–cosine product. The result…

411

Supplemental component 124 · source equation 401

This page substitutes i=124 into the supplemental generator, which the source numbers as equation 401. It averages a sine term, a cosine term and a sine–cosine product. The result…

412

Supplemental component 125 · source equation 402

This page substitutes i=125 into the supplemental generator, which the source numbers as equation 402. It averages a sine term, a cosine term and a sine–cosine product. The result…

413

Supplemental component 126 · source equation 403

This page substitutes i=126 into the supplemental generator, which the source numbers as equation 403. It averages a sine term, a cosine term and a sine–cosine product. The result…

414

Supplemental component 127 · source equation 404

This page substitutes i=127 into the supplemental generator, which the source numbers as equation 404. It averages a sine term, a cosine term and a sine–cosine product. The result…

415

Supplemental component 128 · source equation 405

This page substitutes i=128 into the supplemental generator, which the source numbers as equation 405. It averages a sine term, a cosine term and a sine–cosine product. The result…

416

Supplemental component 129 · source equation 406

This page substitutes i=129 into the supplemental generator, which the source numbers as equation 406. It averages a sine term, a cosine term and a sine–cosine product. The result…

417

Supplemental component 130 · source equation 407

This page substitutes i=130 into the supplemental generator, which the source numbers as equation 407. It averages a sine term, a cosine term and a sine–cosine product. The result…

418

Supplemental component 131 · source equation 408

This page substitutes i=131 into the supplemental generator, which the source numbers as equation 408. It averages a sine term, a cosine term and a sine–cosine product. The result…

419

Supplemental component 132 · source equation 409

This page substitutes i=132 into the supplemental generator, which the source numbers as equation 409. It averages a sine term, a cosine term and a sine–cosine product. The result…

420

Supplemental component 133 · source equation 410

This page substitutes i=133 into the supplemental generator, which the source numbers as equation 410. It averages a sine term, a cosine term and a sine–cosine product. The result…

421

Supplemental component 134 · source equation 411

This page substitutes i=134 into the supplemental generator, which the source numbers as equation 411. It averages a sine term, a cosine term and a sine–cosine product. The result…

422

Supplemental component 135 · source equation 412

This page substitutes i=135 into the supplemental generator, which the source numbers as equation 412. It averages a sine term, a cosine term and a sine–cosine product. The result…

423

Supplemental component 136 · source equation 413

This page substitutes i=136 into the supplemental generator, which the source numbers as equation 413. It averages a sine term, a cosine term and a sine–cosine product. The result…

424

Supplemental component 137 · source equation 414

This page substitutes i=137 into the supplemental generator, which the source numbers as equation 414. It averages a sine term, a cosine term and a sine–cosine product. The result…

425

Supplemental component 138 · source equation 415

This page substitutes i=138 into the supplemental generator, which the source numbers as equation 415. It averages a sine term, a cosine term and a sine–cosine product. The result…

426

Supplemental component 139 · source equation 416

This page substitutes i=139 into the supplemental generator, which the source numbers as equation 416. It averages a sine term, a cosine term and a sine–cosine product. The result…

427

Supplemental component 140 · source equation 417

This page substitutes i=140 into the supplemental generator, which the source numbers as equation 417. It averages a sine term, a cosine term and a sine–cosine product. The result…

428

Supplemental component 141 · source equation 418

This page substitutes i=141 into the supplemental generator, which the source numbers as equation 418. It averages a sine term, a cosine term and a sine–cosine product. The result…

429

Supplemental component 142 · source equation 419

This page substitutes i=142 into the supplemental generator, which the source numbers as equation 419. It averages a sine term, a cosine term and a sine–cosine product. The result…

430

Supplemental component 143 · source equation 420

This page substitutes i=143 into the supplemental generator, which the source numbers as equation 420. It averages a sine term, a cosine term and a sine–cosine product. The result…

431

Supplemental component 144 · source equation 421

This page substitutes i=144 into the supplemental generator, which the source numbers as equation 421. It averages a sine term, a cosine term and a sine–cosine product. The result…

432

Supplemental component 145 · source equation 422

This page substitutes i=145 into the supplemental generator, which the source numbers as equation 422. It averages a sine term, a cosine term and a sine–cosine product. The result…

433

Supplemental component 146 · source equation 423

This page substitutes i=146 into the supplemental generator, which the source numbers as equation 423. It averages a sine term, a cosine term and a sine–cosine product. The result…

434

Supplemental component 147 · source equation 424

This page substitutes i=147 into the supplemental generator, which the source numbers as equation 424. It averages a sine term, a cosine term and a sine–cosine product. The result…

435

Supplemental component 148 · source equation 425

This page substitutes i=148 into the supplemental generator, which the source numbers as equation 425. It averages a sine term, a cosine term and a sine–cosine product. The result…

436

Supplemental component 149 · source equation 426

This page substitutes i=149 into the supplemental generator, which the source numbers as equation 426. It averages a sine term, a cosine term and a sine–cosine product. The result…

437

Supplemental component 150 · source equation 427

This page substitutes i=150 into the supplemental generator, which the source numbers as equation 427. It averages a sine term, a cosine term and a sine–cosine product. The result…

438

Supplemental component 151 · source equation 428

This page substitutes i=151 into the supplemental generator, which the source numbers as equation 428. It averages a sine term, a cosine term and a sine–cosine product. The result…

439

Supplemental component 152 · source equation 429

This page substitutes i=152 into the supplemental generator, which the source numbers as equation 429. It averages a sine term, a cosine term and a sine–cosine product. The result…

440

Supplemental component 153 · source equation 430

This page substitutes i=153 into the supplemental generator, which the source numbers as equation 430. It averages a sine term, a cosine term and a sine–cosine product. The result…

441

Supplemental component 154 · source equation 431

This page substitutes i=154 into the supplemental generator, which the source numbers as equation 431. It averages a sine term, a cosine term and a sine–cosine product. The result…

442

Supplemental component 155 · source equation 432

This page substitutes i=155 into the supplemental generator, which the source numbers as equation 432. It averages a sine term, a cosine term and a sine–cosine product. The result…

443

Supplemental component 156 · source equation 433

This page substitutes i=156 into the supplemental generator, which the source numbers as equation 433. It averages a sine term, a cosine term and a sine–cosine product. The result…

444

Supplemental component 157 · source equation 434

This page substitutes i=157 into the supplemental generator, which the source numbers as equation 434. It averages a sine term, a cosine term and a sine–cosine product. The result…

445

Supplemental component 158 · source equation 435

This page substitutes i=158 into the supplemental generator, which the source numbers as equation 435. It averages a sine term, a cosine term and a sine–cosine product. The result…

446

Supplemental component 159 · source equation 436

This page substitutes i=159 into the supplemental generator, which the source numbers as equation 436. It averages a sine term, a cosine term and a sine–cosine product. The result…

447

Supplemental component 160 · source equation 437

This page substitutes i=160 into the supplemental generator, which the source numbers as equation 437. It averages a sine term, a cosine term and a sine–cosine product. The result…

448

Supplemental component 161 · source equation 438

This page substitutes i=161 into the supplemental generator, which the source numbers as equation 438. It averages a sine term, a cosine term and a sine–cosine product. The result…

449

Supplemental component 162 · source equation 439

This page substitutes i=162 into the supplemental generator, which the source numbers as equation 439. It averages a sine term, a cosine term and a sine–cosine product. The result…

450

Supplemental component 163 · source equation 440

This page substitutes i=163 into the supplemental generator, which the source numbers as equation 440. It averages a sine term, a cosine term and a sine–cosine product. The result…

451

Supplemental component 164 · source equation 441

This page substitutes i=164 into the supplemental generator, which the source numbers as equation 441. It averages a sine term, a cosine term and a sine–cosine product. The result…

452

Supplemental component 165 · source equation 442

This page substitutes i=165 into the supplemental generator, which the source numbers as equation 442. It averages a sine term, a cosine term and a sine–cosine product. The result…

453

Supplemental component 166 · source equation 443

This page substitutes i=166 into the supplemental generator, which the source numbers as equation 443. It averages a sine term, a cosine term and a sine–cosine product. The result…

454

Supplemental component 167 · source equation 444

This page substitutes i=167 into the supplemental generator, which the source numbers as equation 444. It averages a sine term, a cosine term and a sine–cosine product. The result…

455

Supplemental component 168 · source equation 445

This page substitutes i=168 into the supplemental generator, which the source numbers as equation 445. It averages a sine term, a cosine term and a sine–cosine product. The result…

456

Supplemental component 169 · source equation 446

This page substitutes i=169 into the supplemental generator, which the source numbers as equation 446. It averages a sine term, a cosine term and a sine–cosine product. The result…

457

Supplemental component 170 · source equation 447

This page substitutes i=170 into the supplemental generator, which the source numbers as equation 447. It averages a sine term, a cosine term and a sine–cosine product. The result…

458

Supplemental component 171 · source equation 448

This page substitutes i=171 into the supplemental generator, which the source numbers as equation 448. It averages a sine term, a cosine term and a sine–cosine product. The result…

459

Supplemental component 172 · source equation 449

This page substitutes i=172 into the supplemental generator, which the source numbers as equation 449. It averages a sine term, a cosine term and a sine–cosine product. The result…

460

Supplemental component 173 · source equation 450

This page substitutes i=173 into the supplemental generator, which the source numbers as equation 450. It averages a sine term, a cosine term and a sine–cosine product. The result…

461

Supplemental component 174 · source equation 451

This page substitutes i=174 into the supplemental generator, which the source numbers as equation 451. It averages a sine term, a cosine term and a sine–cosine product. The result…

462

Supplemental component 175 · source equation 452

This page substitutes i=175 into the supplemental generator, which the source numbers as equation 452. It averages a sine term, a cosine term and a sine–cosine product. The result…

463

Supplemental component 176 · source equation 453

This page substitutes i=176 into the supplemental generator, which the source numbers as equation 453. It averages a sine term, a cosine term and a sine–cosine product. The result…

464

Supplemental component 177 · source equation 454

This page substitutes i=177 into the supplemental generator, which the source numbers as equation 454. It averages a sine term, a cosine term and a sine–cosine product. The result…

465

Supplemental component 178 · source equation 455

This page substitutes i=178 into the supplemental generator, which the source numbers as equation 455. It averages a sine term, a cosine term and a sine–cosine product. The result…

466

Supplemental component 179 · source equation 456

This page substitutes i=179 into the supplemental generator, which the source numbers as equation 456. It averages a sine term, a cosine term and a sine–cosine product. The result…

467

Supplemental component 180 · source equation 457

This page substitutes i=180 into the supplemental generator, which the source numbers as equation 457. It averages a sine term, a cosine term and a sine–cosine product. The result…

468

Supplemental component 181 · source equation 458

This page substitutes i=181 into the supplemental generator, which the source numbers as equation 458. It averages a sine term, a cosine term and a sine–cosine product. The result…

469

Supplemental component 182 · source equation 459

This page substitutes i=182 into the supplemental generator, which the source numbers as equation 459. It averages a sine term, a cosine term and a sine–cosine product. The result…

470

Supplemental component 183 · source equation 460

This page substitutes i=183 into the supplemental generator, which the source numbers as equation 460. It averages a sine term, a cosine term and a sine–cosine product. The result…

471

Supplemental component 184 · source equation 461

This page substitutes i=184 into the supplemental generator, which the source numbers as equation 461. It averages a sine term, a cosine term and a sine–cosine product. The result…

472

Supplemental component 185 · source equation 462

This page substitutes i=185 into the supplemental generator, which the source numbers as equation 462. It averages a sine term, a cosine term and a sine–cosine product. The result…

473

Supplemental component 186 · source equation 463

This page substitutes i=186 into the supplemental generator, which the source numbers as equation 463. It averages a sine term, a cosine term and a sine–cosine product. The result…

474

Supplemental component 187 · source equation 464

This page substitutes i=187 into the supplemental generator, which the source numbers as equation 464. It averages a sine term, a cosine term and a sine–cosine product. The result…

475

Supplemental component 188 · source equation 465

This page substitutes i=188 into the supplemental generator, which the source numbers as equation 465. It averages a sine term, a cosine term and a sine–cosine product. The result…

476

Supplemental component 189 · source equation 466

This page substitutes i=189 into the supplemental generator, which the source numbers as equation 466. It averages a sine term, a cosine term and a sine–cosine product. The result…

477

Supplemental component 190 · source equation 467

This page substitutes i=190 into the supplemental generator, which the source numbers as equation 467. It averages a sine term, a cosine term and a sine–cosine product. The result…

478

Supplemental component 191 · source equation 468

This page substitutes i=191 into the supplemental generator, which the source numbers as equation 468. It averages a sine term, a cosine term and a sine–cosine product. The result…

479

Supplemental component 192 · source equation 469

This page substitutes i=192 into the supplemental generator, which the source numbers as equation 469. It averages a sine term, a cosine term and a sine–cosine product. The result…

480

Supplemental component 193 · source equation 470

This page substitutes i=193 into the supplemental generator, which the source numbers as equation 470. It averages a sine term, a cosine term and a sine–cosine product. The result…

481

Supplemental component 194 · source equation 471

This page substitutes i=194 into the supplemental generator, which the source numbers as equation 471. It averages a sine term, a cosine term and a sine–cosine product. The result…

482

Supplemental component 195 · source equation 472

This page substitutes i=195 into the supplemental generator, which the source numbers as equation 472. It averages a sine term, a cosine term and a sine–cosine product. The result…

483

Supplemental component 196 · source equation 473

This page substitutes i=196 into the supplemental generator, which the source numbers as equation 473. It averages a sine term, a cosine term and a sine–cosine product. The result…

484

Supplemental component 197 · source equation 474

This page substitutes i=197 into the supplemental generator, which the source numbers as equation 474. It averages a sine term, a cosine term and a sine–cosine product. The result…

485

Supplemental component 198 · source equation 475

This page substitutes i=198 into the supplemental generator, which the source numbers as equation 475. It averages a sine term, a cosine term and a sine–cosine product. The result…

486

Supplemental component 199 · source equation 476

This page substitutes i=199 into the supplemental generator, which the source numbers as equation 476. It averages a sine term, a cosine term and a sine–cosine product. The result…

487

Golden-ratio constant

Defines the constant used in phase, feature and normalization formulas. Its value is approximately 1.61803398875.

488

Neural input with noise

Adds a Gaussian noise term to the external input. The source does not specify whether 0.1 denotes variance or standard deviation, so the implementation must make that convention…

489

Neural velocity with damping

Adds the recent activation difference to velocity and removes 1% of the previous velocity. The algebra expresses an update, so old/new labels are displayed to make assignment…

490

Combined neural drive

Combines input scaled by unused activation capacity, a velocity term and a coupling term. The coefficients fix their relative contribution in this source version.

491

Potential-sensitive gate

Transforms a shifted and scaled potential signal through a logistic function and adds a 0.05 floor. The gate therefore lies strictly between 0.05 and 1.05 for finite real inputs.

492

Activation change

Applies the gate to the combined drive and adds a restoring term toward activation 0.5. The sign and scale of the drive still determine the direction of the overall update.

493

Clipped activation update

Takes an explicit step of size 0.01 and clips the result to the interval [0,1]. Clipping bounds this stored activation even when the unclipped increment would move outside the…

494

Clipped potential update

Retains 95% of the potential, adds an input–velocity interaction, subtracts a quadratic term and clips to [0,1]. This is a source-defined state update, not a direct measurement of…

495

Neural coupling update

Updates coupling from a potential-driven contribution and a restoring contribution involving k_c. Its stability depends on P, k_c and the rest of the update ordering.

496

Aggregate potential score

Averages the 88 agent potential values. The source calls this value “Consciousness”; operationally the expression is an arithmetic mean of model states.

497

Lattice forward transform

Applies a weighted affine transform followed by tanh. Each output is bounded between −1 and 1 for finite real arguments.

498

Hebbian weight increment

Changes a connection in proportion to a learning-rate factor and the product of post- and presynaptic values. It is an outer-product update; without additional normalization it…

499

Lattice state blend

Blends the old strand state with the sum of its transformed signal and core feature. It is distinct from the later global aggregation metric.

500

Energy accumulator

Smooths the absolute value of the sum of strand states. Taking the absolute value after summation allows positive and negative components to cancel first. The source’s word energy…

501

Local strand integration score

Compresses the strand energy accumulator through tanh. For nonnegative E the result lies in [0,1); it summarizes the accumulator and does not perform a partition search.

502

Global aggregate state score

Applies tanh to the mean of the 256 strand coordinates. It is a dimensionless aggregate state metric. The source explicitly distinguishes this value from IIT’s partition-based Φ.

503

Meta-state squared norm

Sums the squares of the 16 components of the meta-state vector. This nonnegative scalar measures vector magnitude.

504

Golden-ratio state normalization

Produces a factor in (0,1] that decreases as the squared state norm grows. The coefficient is used as a soft attenuation factor in the final state update.

505

Final normalized state

Multiplies the intermediate triple-prime state by the normalization coefficient. The upstream meaning of the triple-prime state is only partly summarized in this specification.

506

Binding-field assembly

Concatenates 174 core values and 200 supplemental values into a 374-entry field. This equation describes array assembly; it does not establish interaction or causal integration…

507

Unified binding-field score

Sums component magnitudes and maps that nonnegative sum to a saturating score. Larger magnitudes drive the score toward one. In this formula, the score can increase without…

508

DNA memory learning rule

Blends each old memory coefficient with a weighted basis feature of a normalized item hash. Importance is transformed by Φ before scaling the feature. The 16 coefficients form a…

509

DNA memory query score

Computes an inner product between stored coefficients and basis features of the query hash. This is a retrieval score in the source representation, not a reconstruction of the…

510

Unity importance weighting

Gives weight one at x=1 and decreases as the distance from one grows. The expression is positive and bounded by one for finite real x, with a cusp at x=1.

511

Agent-vector coherence

Computes cosine similarity between two agent knowledge vectors. It measures their directional alignment, with values from −1 to 1 when both vectors are nonzero.

512

DNA phase increment

Advances the phase by the source’s fixed decimal step and wraps it into [0,1). The source’s separate approximation of this decimal by 1/φ³ is numerically inconsistent.

513

Fibonacci phase increment

Rotates the phase by the reciprocal golden ratio and wraps it modulo one. The ideal real-valued recurrence and its finite-precision implementation have different repetition…

514

Combined phase bias

Combines the two phases through the fractional part and recenters the result around zero. Its range is [−0.5,0.5).

515

Gate flip decision

Turns the sign of the combined phase bias into a binary flip flag. A bias equal to zero produces zero under the source’s strict inequality.

516

Gate5000 binary transition

Applies XOR with the input bit and phase flip, then masks to one bit. Given fixed inputs and flip, XOR is reversible on a single bit; the complete system’s reversibility also…

517

Federation cross-talk ODE

Combines local decay with coherence-weighted input from other agent signals. Tanh bounds each received signal, while overall stability depends on the weights and coupling…

518

Clipped federation integration step

Takes an explicit Euler step of the federation ODE and clips the stored signal to [0,1]. Clipping bounds the stored value but is not a proof that the unprojected ODE is stable.

519

Mean pairwise federation coherence

Averages the similarity values of all unordered distinct agent pairs. It requires at least two agents and well-defined pairwise similarities.

520

MEGAMIND source index 2: Fundamental constants

The technical specification reserves equation number 2 in its Fundamental constants group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

521

MEGAMIND source index 3: Fundamental constants

The technical specification reserves equation number 3 in its Fundamental constants group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

522

MEGAMIND source index 4: Unspecified in printed index

The technical specification reserves equation number 4 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

523

MEGAMIND source index 5: Unspecified in printed index

The technical specification reserves equation number 5 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

524

MEGAMIND source index 6: Unspecified in printed index

The technical specification reserves equation number 6 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

525

MEGAMIND source index 7: Unspecified in printed index

The technical specification reserves equation number 7 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

526

MEGAMIND source index 8: Unspecified in printed index

The technical specification reserves equation number 8 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

527

MEGAMIND source index 9: Unspecified in printed index

The technical specification reserves equation number 9 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

528

MEGAMIND source index 10: Unspecified in printed index

The technical specification reserves equation number 10 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

529

MEGAMIND source index 11: Unspecified in printed index

The technical specification reserves equation number 11 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

530

MEGAMIND source index 12: Unspecified in printed index

The technical specification reserves equation number 12 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

531

MEGAMIND source index 13: Unspecified in printed index

The technical specification reserves equation number 13 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

532

MEGAMIND source index 14: Unspecified in printed index

The technical specification reserves equation number 14 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

533

MEGAMIND source index 15: Unspecified in printed index

The technical specification reserves equation number 15 in its Unspecified in printed index group. The recovered text does not supply an unambiguous formula-to-number mapping for…

534

MEGAMIND source index 16: Golden basis functions

The technical specification reserves equation number 16 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

535

MEGAMIND source index 17: Golden basis functions

The technical specification reserves equation number 17 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

536

MEGAMIND source index 18: Golden basis functions

The technical specification reserves equation number 18 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

537

MEGAMIND source index 19: Golden basis functions

The technical specification reserves equation number 19 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

538

MEGAMIND source index 20: Golden basis functions

The technical specification reserves equation number 20 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

539

MEGAMIND source index 21: Golden basis functions

The technical specification reserves equation number 21 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

540

MEGAMIND source index 22: Golden basis functions

The technical specification reserves equation number 22 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

541

MEGAMIND source index 23: Golden basis functions

The technical specification reserves equation number 23 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

542

MEGAMIND source index 24: Golden basis functions

The technical specification reserves equation number 24 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

543

MEGAMIND source index 25: Golden basis functions

The technical specification reserves equation number 25 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

544

MEGAMIND source index 26: Golden basis functions

The technical specification reserves equation number 26 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

545

MEGAMIND source index 27: Golden basis functions

The technical specification reserves equation number 27 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

546

MEGAMIND source index 28: Golden basis functions

The technical specification reserves equation number 28 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

547

MEGAMIND source index 29: Golden basis functions

The technical specification reserves equation number 29 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

548

MEGAMIND source index 30: Golden basis functions

The technical specification reserves equation number 30 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

549

MEGAMIND source index 31: Golden basis functions

The technical specification reserves equation number 31 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

550

MEGAMIND source index 32: Golden basis functions

The technical specification reserves equation number 32 in its Golden basis functions group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

551

MEGAMIND source index 33: Normalization and decay

The technical specification reserves equation number 33 in its Normalization and decay group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

552

MEGAMIND source index 35: Normalization and decay

The technical specification reserves equation number 35 in its Normalization and decay group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

553

MEGAMIND source index 36: Normalization and decay

The technical specification reserves equation number 36 in its Normalization and decay group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

554

MEGAMIND source index 53: Meta-state update

The technical specification reserves equation number 53 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

555

MEGAMIND source index 54: Meta-state update

The technical specification reserves equation number 54 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

556

MEGAMIND source index 56: Meta-state update

The technical specification reserves equation number 56 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

557

MEGAMIND source index 57: Meta-state update

The technical specification reserves equation number 57 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

558

MEGAMIND source index 58: Meta-state update

The technical specification reserves equation number 58 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

559

MEGAMIND source index 59: Meta-state update

The technical specification reserves equation number 59 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

560

MEGAMIND source index 60: Meta-state update

The technical specification reserves equation number 60 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

561

MEGAMIND source index 61: Meta-state update

The technical specification reserves equation number 61 in its Meta-state update group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

562

MEGAMIND source index 63: Objective function Ω

The technical specification reserves equation number 63 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

563

MEGAMIND source index 64: Objective function Ω

The technical specification reserves equation number 64 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

564

MEGAMIND source index 65: Objective function Ω

The technical specification reserves equation number 65 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

565

MEGAMIND source index 66: Objective function Ω

The technical specification reserves equation number 66 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

566

MEGAMIND source index 67: Objective function Ω

The technical specification reserves equation number 67 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

567

MEGAMIND source index 68: Objective function Ω

The technical specification reserves equation number 68 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

568

MEGAMIND source index 69: Objective function Ω

The technical specification reserves equation number 69 in its Objective function Ω group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

569

MEGAMIND source index 72: DNA holographic memory

The technical specification reserves equation number 72 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

570

MEGAMIND source index 75: DNA holographic memory

The technical specification reserves equation number 75 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

571

MEGAMIND source index 76: DNA holographic memory

The technical specification reserves equation number 76 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

572

MEGAMIND source index 77: DNA holographic memory

The technical specification reserves equation number 77 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

573

MEGAMIND source index 78: DNA holographic memory

The technical specification reserves equation number 78 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

574

MEGAMIND source index 79: DNA holographic memory

The technical specification reserves equation number 79 in its DNA holographic memory group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

575

MEGAMIND source index 85: Gate5000 substrate

The technical specification reserves equation number 85 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

576

MEGAMIND source index 86: Gate5000 substrate

The technical specification reserves equation number 86 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

577

MEGAMIND source index 87: Gate5000 substrate

The technical specification reserves equation number 87 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

578

MEGAMIND source index 88: Gate5000 substrate

The technical specification reserves equation number 88 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

579

MEGAMIND source index 89: Gate5000 substrate

The technical specification reserves equation number 89 in its Gate5000 substrate group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

580

MEGAMIND source index 90: Neural brain dynamics

The technical specification reserves equation number 90 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

581

MEGAMIND source index 91: Neural brain dynamics

The technical specification reserves equation number 91 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

582

MEGAMIND source index 92: Neural brain dynamics

The technical specification reserves equation number 92 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

583

MEGAMIND source index 93: Neural brain dynamics

The technical specification reserves equation number 93 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

584

MEGAMIND source index 94: Neural brain dynamics

The technical specification reserves equation number 94 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

585

MEGAMIND source index 95: Neural brain dynamics

The technical specification reserves equation number 95 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

586

MEGAMIND source index 96: Neural brain dynamics

The technical specification reserves equation number 96 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

587

MEGAMIND source index 97: Neural brain dynamics

The technical specification reserves equation number 97 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

588

MEGAMIND source index 98: Neural brain dynamics

The technical specification reserves equation number 98 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

589

MEGAMIND source index 99: Neural brain dynamics

The technical specification reserves equation number 99 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

590

MEGAMIND source index 100: Neural brain dynamics

The technical specification reserves equation number 100 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

591

MEGAMIND source index 101: Neural brain dynamics

The technical specification reserves equation number 101 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

592

MEGAMIND source index 102: Neural brain dynamics

The technical specification reserves equation number 102 in its Neural brain dynamics group. The recovered text does not supply an unambiguous formula-to-number mapping for this…

593

MEGAMIND source index 478: Binding field

The technical specification reserves equation number 478 in its Binding field group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

594

MEGAMIND source index 480: Lattice engine

The technical specification reserves equation number 480 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

595

MEGAMIND source index 481: Lattice engine

The technical specification reserves equation number 481 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

596

MEGAMIND source index 482: Lattice engine

The technical specification reserves equation number 482 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

597

MEGAMIND source index 483: Lattice engine

The technical specification reserves equation number 483 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

598

MEGAMIND source index 484: Lattice engine

The technical specification reserves equation number 484 in its Lattice engine group. The recovered text does not supply an unambiguous formula-to-number mapping for this slot.…

599

MEGAMIND source index 487: Two-way, cognition, LTM, Q

The technical specification reserves equation number 487 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

600

MEGAMIND source index 488: Two-way, cognition, LTM, Q

The technical specification reserves equation number 488 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

601

MEGAMIND source index 489: Two-way, cognition, LTM, Q

The technical specification reserves equation number 489 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

602

MEGAMIND source index 490: Two-way, cognition, LTM, Q

The technical specification reserves equation number 490 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

603

MEGAMIND source index 491: Two-way, cognition, LTM, Q

The technical specification reserves equation number 491 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

604

MEGAMIND source index 492: Two-way, cognition, LTM, Q

The technical specification reserves equation number 492 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

605

MEGAMIND source index 493: Two-way, cognition, LTM, Q

The technical specification reserves equation number 493 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

606

MEGAMIND source index 494: Two-way, cognition, LTM, Q

The technical specification reserves equation number 494 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

607

MEGAMIND source index 495: Two-way, cognition, LTM, Q

The technical specification reserves equation number 495 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

608

MEGAMIND source index 496: Two-way, cognition, LTM, Q

The technical specification reserves equation number 496 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

609

MEGAMIND source index 497: Two-way, cognition, LTM, Q

The technical specification reserves equation number 497 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

610

MEGAMIND source index 498: Two-way, cognition, LTM, Q

The technical specification reserves equation number 498 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

611

MEGAMIND source index 499: Two-way, cognition, LTM, Q

The technical specification reserves equation number 499 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

612

MEGAMIND source index 500: Two-way, cognition, LTM, Q

The technical specification reserves equation number 500 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

613

MEGAMIND source index 501: Two-way, cognition, LTM, Q

The technical specification reserves equation number 501 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

614

MEGAMIND source index 502: Two-way, cognition, LTM, Q

The technical specification reserves equation number 502 in its Two-way, cognition, LTM, Q group. The recovered text does not supply an unambiguous formula-to-number mapping for…

615

MEGAMIND source index 506: Activation, hash and utility functions

The technical specification reserves equation number 506 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

616

MEGAMIND source index 507: Activation, hash and utility functions

The technical specification reserves equation number 507 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

617

MEGAMIND source index 508: Activation, hash and utility functions

The technical specification reserves equation number 508 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

618

MEGAMIND source index 509: Activation, hash and utility functions

The technical specification reserves equation number 509 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

619

MEGAMIND source index 510: Activation, hash and utility functions

The technical specification reserves equation number 510 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

620

MEGAMIND source index 511: Activation, hash and utility functions

The technical specification reserves equation number 511 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

621

MEGAMIND source index 512: Activation, hash and utility functions

The technical specification reserves equation number 512 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

622

MEGAMIND source index 513: Activation, hash and utility functions

The technical specification reserves equation number 513 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

623

MEGAMIND source index 514: Activation, hash and utility functions

The technical specification reserves equation number 514 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

624

MEGAMIND source index 515: Activation, hash and utility functions

The technical specification reserves equation number 515 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…

625

MEGAMIND source index 516: Activation, hash and utility functions

The technical specification reserves equation number 516 in its Activation, hash and utility functions group. The recovered text does not supply an unambiguous formula-to-number…