UNNS vs Classical — Advanced Sequence Explorer with Operator Mapping

Sequence Library

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Custom Recurrence

Recurrence Expression

Use a[n-k] for previous terms. Supports: +, -, *, /, ^, Math.sin, Math.cos, Math.abs

Initial Terms (comma-separated)

Supports real numbers and complex (e.g., 1+2i)

Number of Steps (N)

UNNS Operators

Repair/Normalization Operator

Operator Description

Select an operator to see its description

UNNS Grammar Classification

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Guided Examples

Lesson 1: Fibonacci Drift

See how integer rounding creates bounded but accumulating errors in the Fibonacci sequence.

Lesson 2: Chaos Control

Watch the logistic map's sensitive dependence on initial conditions with threshold operators.

Lesson 3: Lattice Stability

Explore how Gaussian/Eisenstein projections create stable lattice behaviors.

Lesson 4: Exponential Collapse

Observe exponential growth controlled by damping and threshold operators.

Animation Controls

Animation Speed

50ms

Current Step: 0 / 200

Max Error

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RMS Error

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Divergence Rate

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First Difference

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Classical

UNNS

Divergence

Sequence Values

n	Classical	UNNS	Absolute Diff	Relative Diff

•	threshold_zero	Collapse	Absorbs small echoes into substrate zero
••	merge_close	Collapse / Normalize	Forces near-equal states to converge
≡	equivalence	Collapse	Map to canonical representative

⊞	gaussian	Inlaying (Z[i])	Snap to Gaussian integer lattice
⬡	eisenstein	Inlaying (Z[ω])	Snap to hexagonal lattice
⬟	cyclotomic_proj(p)	Inlaying / Inletting	Embed into pth root of unity lattice

⌊⌋	roundInt	Evaluate	Snap to discrete integer states
∿	damp(α)	Normalize	Dissipates recursive energy
○	normalize_l2	Normalize	Project to unit sphere

Sequence Values

Operator → UNNS Grammar Mapping

Collapse Operators

Projection Operators (Inlaying)

Normalization Operators

Adoption Operators (Experimental)

📚 UNNS Theory Documentation