Read the equation
The sine branch uses frequency proportional to φ^k, while the cosine branch uses φ^(−k). These differ except for special cases such as k=0. This is a substantive variant of the Megamind atlas, which prints positive k in both branches.
Its role in the build
Unified AGI Equation System
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 ψ_k(x) as the quantity being defined or updated by this relation.
Evaluates oscillatory sine or cosine terms using the stated phase or frequency.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
The image does not define σ_i or the relation between indices i and k. No approximation or compression error bound is supplied.
Original context
Read the surrounding source passage
Unified AGI Equation System: The sine branch uses frequency proportional to φ^k, while the cosine branch uses φ^(−k). These differ except for special cases such as k=0. This is a substantive variant of the Megamind atlas, which prints positive k in both branches.
Exact original notation
ψ_k(x) = sin(2π · φ^k · σ_i · x) + cos(2π · φ^(−k) · σ_i · x)
Related builds
Sources & provenance
ψ_k(x) = sin(2π · φ^k · σ_i · x) + cos(2π · φ^(−k) · σ_i · x)