Zeus signature: selective fractional product

Read the equation

The implementation evaluates fifteen other family functions at scaled inputs x/(i+1). It multiplies the one-sixteenth power of each result only when that result lies strictly between zero and 10¹⁰, skipping the others. This is neither the raw product in the comment nor an ordinary geometric mean of all fifteen contributions, because exclusions and a fixed divisor of sixteen change it.

Terms & definitions

How it works

Read the definition from its right-hand expression to the quantity on the left. Its surrounding source records the intended input, state, or parameter context. Where the source leaves an operation unspecified, this page preserves that gap.

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

func FHestia(x float64) float64 {
	// Simplified memory function: exponential weighted past
	tau_m := 10.0 // Memory time constant
	// For single value, approximate as x * tau_m
	return x * (1.0 - math.Exp(-1.0/tau_m))
}

// FZeus: F_Zeus(x) = Π_k F_k(x_k) (Coordination - product of all)
// Zeus coordinates all family contributions without circular reference
func FZeus(x float64) float64 {
	// List of family functions (excluding Zeus to avoid cycle)
	familyFuncs := []func(float64) float64{
		FYad, FLashon, FAthena, FApollo, FHermes,
		FHephaestus, FPrometheus, FDionysus, FArtemis, FHera,
		FPoseidon, FDemeter, FAres, FAphrodite, FHestia,
	}

	product := 1.0

FZeus: F_Zeus(x) = Π_k F_k(x_k) (Coordination - product of all)

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