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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Session-retention score

Subtracts the fraction of dropped sessions from one. If drops count distinct sessions from the same population, the result is a retention fraction between zero and one.

Consciousness researchdocumented formula
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eq-34c142ac8e2c23mathematical expression
SS=1−NdropsNsessionsSS = 1 - \frac{N_{\text{drops}}}{N_{\text{sessions}}}

Read the equation

Subtracts the fraction of dropped sessions from one. If drops count distinct sessions from the same population, the result is a retention fraction between zero and one.

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 SS as the quantity being defined or updated by this relation.

  2. Forms a ratio or division. A zero denominator needs an explicit exclusion or handling rule.

  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
Layer 5 — Session Layer (N5)

Session state, handshake, continuity.
1.	Session Stability:
SS = 1 - \frac{N_{\text{drops}}}{N_{\text{sessions}}}
2.	Session Entropy:
SE = -\sum p_i \log p_i
3.	Cost:
\text{Cost}_5 = a_5 (1-SS) + b_5 SE

⸻
Exact original notation
SS = 1 - \frac{N_{\text{drops}}}{N_{\text{sessions}}}

Related builds

Sources & provenance

01
Complete_Consciousness_Equation_Notes_RAW.txt
line 1941 · Jul 21, 2026
SS = 1 - \frac{N_{\text{drops}}}{N_{\text{sessions}}}
02
Pasted text (2).txt
lines 974–980 · Jul 21, 2026
SS = 1 - \frac{N_{\text{drops}}}{N_{\text{sessions}}}

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