Temporal coherence operator

Read the equation

This expression selects a state or parameter setting that minimizes the displayed objective. Its terms describe what is penalized or fitted; the feasible domain, term weights and an actual solver determine the resulting solution.

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

2. Combines binary values with exclusive OR in the stated bit-level expression.

3. Chooses an argument minimizing the displayed objective over the stated feasible set.

4. 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

**What each binary C actually is:**

```
C_temp   = XOR + POPCOUNT + conditional mask
C_bayes  = comparator + AND mask
C_perc   = XOR + argmin circuit
C_pred   = XOR + threshold + bit adjust
C_dist   = parallel AND/OR (majority)
C_pair   = XNOR or AND/OR per bit
C_helix  = shift register with period T
C_layer  = lookup table or Boolean net
C_logic  = SAT solver (minimal bit repair)
```

**Gate count estimate:**

|Operator|Gates (n=64 bits)|
|--------|-----------------|

C_temp   = XOR + POPCOUNT + conditional mask
C_bayes  = comparator + AND mask
C_perc   = XOR + argmin circuit
C_pred   = XOR + threshold + bit adjust
C_dist   = parallel AND/OR (majority)
C_pair   = XNOR or AND/OR per bit
C_helix  = shift register with period T
C_layer  = lookup table or Boolean net
C_logic  = SAT solver (minimal bit repair)

Related builds