Systems varying with external parameters
/plugin marketplace add plurigrid/asi/plugin install asi-skills@asi-skillsThis skill inherits all available tools. When active, it can use any tool Claude has access to.
Trit: 0 (ERGODIC) Domain: Dynamical Systems Theory Principle: Systems varying with external parameters
Parameter-dependent is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.
PARAMETER-DEPENDENT: Phase space × Time → Phase space
This skill participates in triadic composition:
using AlgebraicDynamics
# Parameter-dependent as compositional dynamical system
# Implements oapply for resource-sharing machines
Skill Name: parameter-dependent Type: Dynamical Systems / Parameter-dependent Trit: 0 (ERGODIC) GF(3): Conserved in triplet composition
Condition: μ(n) ≠ 0 (Möbius squarefree)
This skill is qualified for non-backtracking geodesic traversal:
Geodesic Invariant:
∀ path P: backtrack(P) = ∅ ⟹ μ(|P|) ≠ 0
Möbius Inversion:
f(n) = Σ_{d|n} g(d) ⟹ g(n) = Σ_{d|n} μ(n/d) f(d)
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Create distinctive, production-grade frontend interfaces with high design quality. Use this skill when the user asks to build web components, pages, or applications. Generates creative, polished code that avoids generic AI aesthetics.