Read the equation
The binary operator receives the current state, belief and observation and produces the next state/belief pair. This is an interface definition: the behavior is determined by the component Boolean operators and their encoding, which must be specified separately.
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
Read (x'_{t+1}, p'_{t+1}) as the quantity being defined or updated by this relation.
Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.
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
Binary form:
(x'_{t+1}, p'_{t+1}) = 𝒞^{bin}(x_t, p_t, y_t)
where:
𝒞^{bin} = C^{bin}_{logic} ∘ C^{bin}_{layer} ∘ C^{bin}_{helix} ∘
C^{bin}_{pair} ∘ C^{bin}_{dist} ∘ C^{bin}_{pred} ∘
C^{bin}_{perc} ∘ C^{bin}_{bayes} ∘ C^{bin}_{temp}Exact original notation
(x'_{t+1}, p'_{t+1}) = 𝒞^{bin}(x_t, p_t, y_t)Related builds
Sources & provenance
(x'_{t+1}, p'_{t+1}) = 𝒞^{bin}(x_t, p_t, y_t)