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ConsciousnessLearn · Explore · Joseph Anady

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)

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eq-597396933ec590mathematical expression
ψk(x)=sin(2πφkx)+cos(...)ψ_k(x) = sin(2πφᵏ x) + cos(...)

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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)

Terms & definitions

The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.

How it works

  1. Read ψ_k(x) as the quantity being defined or updated by this relation.

  2. Evaluates oscillatory sine or cosine terms using the stated phase or frequency.

  3. Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.

Assumptions & limits

Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.

Original context

Read the surrounding source passage
Purpose

Basis Functions

ψ_k(x) = sin(2πφᵏ x) + cos(...)

16 frequency bands

Normalization

b = 1/(1 + ||Ψ||²/φ)
Exact original notation
ψ_k(x) = sin(2πφᵏ x) + cos(...)

Sources & provenance

01
MEGAMIND_Complete_Technical_Specification.docx
paragraph 124 · Jan 24, 2026
ψ_k(x) = sin(2πφᵏ x) + cos(...)

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