Read the equation
Assuming a harmonic displacement, acceleration is −ω²x and force is mass times acceleration. With mass fixed to one, the function returns −AngularFrequency²×x. Physical force units and measured acceleration are not supplied; the operational result is a linear restoring term.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| m | Mass parameter fixed to one |
| omega | AngularFrequency |
| x | Displacement-like scalar |
How it works
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Assumptions & limits
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Original context
Read the surrounding source passage
// 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 = -ω²x
omega := AngularFrequency
return m * (-omega * omega * x)
}
// FAphrodite: F_Aphrodite(x) = cos(φ·x) (Harmony - golden cosine)
func FAphrodite(x float64) float64 {
return math.Cos(PHI * x)Exact original notation
FAres: F_Ares(x) = m·d²x/dt² (Action - force/acceleration)