From asi
Explains flows as one-parameter groups of diffeomorphisms generated by vector fields in dynamical systems theory. Useful for analyzing ODEs, equilibria, stability, bifurcations, and long-term dynamics.
npx claudepluginhub plurigrid/asi --plugin asiThis skill uses the workspace's default tool permissions.
**Trit**: 1 (PLUS)
Defines vector fields in dynamical systems theory, covering phase space dynamics, local/global behavior, stability, bifurcations, and Julia AlgebraicDynamics.jl integration. Useful for analyzing differential equations.
Guides Next.js Cache Components and Partial Prerendering (PPR) with cacheComponents enabled. Implements 'use cache', cacheLife(), cacheTag(), revalidateTag(), static/dynamic optimization, and cache debugging.
Guides building MCP servers enabling LLMs to interact with external services via tools. Covers best practices, TypeScript/Node (MCP SDK), Python (FastMCP).
Share bugs, ideas, or general feedback.
Trit: 1 (PLUS) Domain: Dynamical Systems Theory Principle: One-parameter group of diffeomorphisms generated by vector field
Flow is a fundamental concept in dynamical systems theory, providing tools for understanding the qualitative behavior of differential equations and flows on manifolds.
FLOW: Phase space × Time → Phase space
This skill participates in triadic composition:
using AlgebraicDynamics
# Flow as compositional dynamical system
# Implements oapply for resource-sharing machines
Skill Name: flow Type: Dynamical Systems / Flow Trit: 1 (PLUS) 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)