Skill Claude CodeCodex
Escape Velocity and Binding Energy in Mechanics (Gravitation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Fluid Statics and Pressure in Mechanics (Fluids). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Free-Body Diagrams in Mechanics (Dynamics). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Gravitational Field and Potential in Mechanics (Gravitation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Gravitational Potential Energy in Mechanics (Gravitation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Gyroscopic Motion and Precession in Mechanics (Rotation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Inelastic and Perfectly Inelastic Collisions in Mechanics (Momentum). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Kinematic Definitions and Reference Frames in Mechanics (Kinematics). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Kinematics in Polar and Cylindrical Coordinates in Mechanics (Kinematics). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Linear Momentum and Impulse in Mechanics (Momentum). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Moment of Inertia in Mechanics (Rotation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Motion on Inclined Planes in Mechanics (Dynamics). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Newton's Law of Universal Gravitation in Mechanics (Gravitation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Newton's Laws of Motion in Mechanics (Dynamics). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Non-Inertial Frames and Pseudo-Forces in Mechanics (Dynamics). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Orbital Motion and Kepler's Laws in Mechanics (Gravitation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Parallel-Axis and Perpendicular-Axis Theorems in Mechanics (Rotation). Theoretical foundations, governing equations, analytical problem-solving methods, and typical archetypes.
Skill Claude CodeCodex
Solve algebra problems: linear and quadratic equations, systems, inequalities, polynomials, factoring, rational expressions, exponential and logarithmic equations, sequences and series, functions and graphs. Use for any equation solving, simplification, or algebraic manipulation.
Skill Claude CodeCodex
Perform and explain arithmetic, fractions, decimals, percentages, ratios, proportions, exponents, roots, scientific notation, units, and mental-math tricks. Use for any basic calculation, word problem, or when a student needs number sense and estimation.
Skill Claude CodeCodex
Do single-variable calculus: limits, continuity, derivatives, optimization, related rates, integrals, techniques of integration, improper integrals, series, Taylor expansions, applications. Use for derivative/integral/limit/series problems.
Skill Claude CodeCodex
Solve combinatorics and discrete math problems: counting principles, permutations, combinations, pigeonhole, inclusion-exclusion, recurrences, generating functions, partitions, Catalan numbers, Ramsey theory, recurrence relations, algorithms for counting. Includes script. Use for counting, enumeration, and recurrence…
Skill Claude CodeCodex
Cover functional analysis and Fourier analysis: Banach and Hilbert spaces, bounded operators, spectral theorem, Hahn-Banach, open mapping, distributions, Fourier series and transform, wavelets, Sobolev spaces. Use for operator theory, Fourier methods, and infinite-dimensional analysis.
Skill Claude CodeCodex
Work on graph theory and algorithmic mathematics: trees, connectivity, paths, cycles, coloring, planarity, matchings, flows, shortest paths, spanning trees, complexity (P vs NP), network analysis. Use for graph problems, networks, and algorithm design.
Skill Claude CodeCodex
Explain information theory and coding: entropy, mutual information, KL divergence, channel capacity, source coding, Huffman codes, error-correcting codes, compression, Kolmogorov complexity, cryptographic entropy. Use for bits, entropy, compression and communication limits.
At most 3 mods per repository are shown here, and a mod shipped inside a plugin is left to that plugin's page — the rest are on their repository pages: