Read the equation
The body uses carrying capacity K=1 and growth rate r=0.5, returning 0.5x(1−x). This is a rate-shaped scalar feature, positive between zero and one and zero at both endpoints. A growth trajectory would additionally apply a time integration or recurrence to that rate.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| x | Scalar input |
| K | Carrying capacity 1 |
| r | Growth coefficient 0.5 |
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
Read the surrounding source passage
// FPoseidon: F_Poseidon(x) = ∂²x/∂t² + ω²x (Depth/Emotion - wave equation)
func FPoseidon(x float64) float64 {
// Solution to wave equation: A·cos(ωt)
omega := 2.0 * math.Pi / BasePairsPerTurn
return -omega * omega * x // ∂²x/∂t² term
}
// FDemeter: F_Demeter(x) = x·(1-x/K) (Growth - logistic growth)
func FDemeter(x float64) float64 {
K := 1.0 // Carrying capacity
r := 0.5 // Growth rate
return r * x * (1.0 - x/K)
}
// FAres: F_Ares(x) = m·d²x/dt² (Action - force/acceleration)
func FAres(x float64) float64 {
m := 1.0 // Mass
// F = ma, assume simple harmonic: a = -ω²xExact original notation
FDemeter: F_Demeter(x) = x·(1-x/K) (Growth - logistic growth)