func (p HelixPoint) Dot(other HelixPoint) float64 · VerticalOffset returns δ_k

Read the equation

This relation defines VerticalOffset returns δ_k in the source section “func (p HelixPoint) Dot(other HelixPoint) float64 · VerticalOffset returns δ_k”. It specifies the displayed relationship between the named quantities or parameters. 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

1. Read VerticalOffset returns δ_k as the quantity being defined or updated by this relation.

2. Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.

3. 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

func (p HelixPoint) Dot(other HelixPoint) float64 {
	return p.X*other.X + p.Y*other.Y + p.Z*other.Z
}

// G16Helix implements G¹⁶ parametric helix equations
type G16Helix struct{}

// VerticalOffset returns δ_k = k·h/16
func (G16Helix) VerticalOffset(k int) float64 {
	return float64(k) * RisePerBP / NumStrands
}

// GoldenPhaseOffset returns θ_k = 2πk·φ⁻¹ mod 2π
func (G16Helix) GoldenPhaseOffset(k int) float64 {
	return math.Mod(2.0*math.Pi*float64(k)*PHIInv, 2.0*math.Pi)
}

// Point returns point on strand k at parameter θ

VerticalOffset returns δ_k = k·h/16

Related builds