Read the equation
This relation defines Update strand states: S_k(t) in the source section “func (sys *G16HelixSystem) Tick(dt float64) · Update strand states: S_k(t)”. Applies an exponential factor. The exponent determines its real scaling or, for a complex exponent, its phase. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.
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 Update strand states: S_k(t) as the quantity being defined or updated by this relation.
Applies an exponential factor. The exponent determines its real scaling or, for a complex exponent, its phase.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.
Original context
Read the surrounding source passage
// Tick advances the system by dt
func (sys *G16HelixSystem) Tick(dt float64) {
sys.Time += dt
// Update global phase: φ(t) = (2πt/10.6) mod 2π
sys.GlobalPhase = math.Mod(2.0*math.Pi*sys.Time/BasePairsPerTurn, 2.0*math.Pi)
// Update strand states: S_k(t) = A_k · e^{i(ωt + 2πk/10.6)}
for k := 0; k < NumStrands; k++ {
amplitude := sys.Strands.D[k]
phase := AngularFrequency*sys.Time + 2.0*math.Pi*float64(k+1)/BasePairsPerTurn
sys.StrandStates[k] = complex(amplitude, 0) * cmplx.Exp(complex(0, phase))
sys.AngularPos[k] = phase
}
// Update bond states
sys.Bonds.UpdateBonds(sys.GlobalPhase)
}Exact original notation
Update strand states: S_k(t) = A_k · e^{i(ωt + 2πk/10.6)}