Expert-level calculus knowledge. Use when working with limits, derivatives, integrals, multivariable calculus, vector calculus, differential equations, series, or optimization. Also use when the user mentions 'derivative', 'integral', 'limit', 'chain rule', 'gradient', 'divergence', 'curl', 'Taylor series', 'Fourier series', 'partial derivative', 'double integral', 'line integral', 'Stokes theorem', or 'Lagrange multipliers'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level biochemistry from a biology perspective covering metabolic pathways, enzyme kinetics, bioenergetics, signal transduction, and the biochemical basis of cellular processes.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level immunology covering innate and adaptive immunity, antibody structure and function, T cell biology, immune evasion, vaccines, autoimmunity, and immunotherapy.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level biochemistry knowledge. Use when working with proteins, enzymes, metabolism, DNA, RNA, carbohydrates, lipids, cell signaling, or bioenergetics. Also use when the user mentions 'enzyme kinetics', 'metabolism', 'glycolysis', 'Krebs cycle', 'DNA replication', 'protein folding', 'amino acids', 'ATP', 'oxidative phosphorylation', 'gene expression', 'lipid bilayer', or 'signal transduction'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level plasma physics knowledge. Use when working with plasma state, Debye shielding, plasma oscillations, magnetohydrodynamics, plasma confinement, fusion plasmas, space plasmas, plasma waves, or plasma instabilities. Also use when the user mentions 'plasma', 'Debye length', 'plasma frequency', 'MHD', 'magnetic confinement', 'tokamak', 'plasma instability', 'Alfven wave', 'Langmuir probe', 'ionosphere', or 'solar wind'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level probability theory knowledge. Use when working with probability spaces, random variables, distributions, expectation, variance, conditional probability, stochastic processes, Markov chains, martingales, or measure-theoretic probability. Also use when the user mentions 'sample space', 'random variable', 'expected value', 'variance', 'conditional probability', 'independence', 'Markov chain', 'Poisson process', 'moment generating function', 'law of large numbers', 'central limit theorem', or 'stochastic process'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level molecular biology knowledge. Use when working with DNA replication, transcription, translation, gene regulation, cloning, PCR, sequencing, CRISPR, epigenetics, or molecular techniques. Also use when the user mentions 'DNA replication', 'transcription', 'translation', 'gene expression', 'PCR', 'cloning', 'restriction enzyme', 'gel electrophoresis', 'Western blot', 'CRISPR', 'epigenetics', 'promoter', 'enhancer', or 'RNA splicing'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level complex analysis knowledge. Use when working with complex functions, holomorphic functions, Cauchy's theorem, contour integration, Laurent series, residues, conformal mappings, or analytic continuation. Also use when the user mentions 'holomorphic', 'analytic', 'Cauchy theorem', 'residue', 'contour integral', 'Laurent series', 'conformal map', 'Riemann mapping', 'Mobius transformation', 'harmonic function', 'entire function', or 'meromorphic'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level medicinal chemistry knowledge. Use when working with drug design, structure-activity relationships, ADMET properties, pharmacophores, lead optimization, target identification, drug metabolism, or pharmaceutical development. Also use when the user mentions 'SAR', 'drug design', 'pharmacophore', 'ADMET', 'lead compound', 'hit to lead', 'drug metabolism', 'bioavailability', 'selectivity', 'binding affinity', 'scaffold hopping', or 'bioisostere'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level inorganic chemistry knowledge. Use when working with coordination chemistry, transition metals, crystal field theory, organometallics, main group chemistry, solid state chemistry, acid-base theory, or inorganic reaction mechanisms. Also use when the user mentions 'coordination complex', 'ligand', 'crystal field', 'transition metal', 'oxidation state', 'organometallic', 'Lewis acid', 'VSEPR', 'symmetry', 'point group', 'solid state', or 'catalysis'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level real analysis knowledge. Use when working with limits, continuity, differentiability, Riemann and Lebesgue integration, sequences and series of functions, metric spaces, measure theory, or functional analysis foundations. Also use when the user mentions 'epsilon-delta', 'uniform continuity', 'uniform convergence', 'Lebesgue integral', 'measure theory', 'sigma-algebra', 'Banach space', 'Hilbert space', 'completeness', 'compactness', 'Heine-Borel', or 'dominated convergence'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level green chemistry knowledge. Use when working with sustainable synthesis, atom economy, solvent selection, catalysis, renewable feedstocks, waste reduction, life cycle assessment, or the 12 principles of green chemistry. Also use when the user mentions 'atom economy', 'E-factor', 'green solvent', 'catalysis', 'renewable feedstock', 'waste minimization', 'sustainable chemistry', 'life cycle assessment', 'PMI', 'solvent selection guide', or 'benign by design'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level quantum mechanics knowledge. Use when working with wave functions, Schrodinger equation, quantum states, operators, uncertainty principle, quantum tunneling, spin, angular momentum, perturbation theory, or quantum entanglement. Also use when the user mentions 'wave function', 'Schrodinger', 'Heisenberg', 'quantum state', 'eigenvalue', 'superposition', 'tunneling', 'spin', 'Hilbert space', 'Dirac notation', 'commutator', or 'quantum measurement'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level differential equations knowledge. Use when working with ordinary differential equations, partial differential equations, systems of ODEs, Laplace transforms, Fourier methods, boundary value problems, stability analysis, or numerical methods for ODEs. Also use when the user mentions 'ODE', 'PDE', 'initial value problem', 'boundary value problem', 'Laplace transform', 'separation of variables', 'eigenvalue problem', 'heat equation', 'wave equation', 'Laplace equation', 'stability', or 'phase plane'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level electromagnetism knowledge. Use when working with electric fields, magnetic fields, Maxwell's equations, electromagnetic waves, circuits, Coulomb's law, Gauss's law, Faraday's law, Ampere's law, or electromagnetic induction. Also use when the user mentions 'electric field', 'magnetic field', 'Maxwell', 'Gauss law', 'Faraday', 'Ampere', 'capacitor', 'inductor', 'electromagnetic wave', 'Lorentz force', 'Poynting vector', or 'dielectric'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level neuroscience covering neuronal physiology, synaptic transmission, brain regions and circuits, neuroplasticity, neurodegenerative diseases, and computational neuroscience.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level cell biology knowledge. Use when working with cell structure, organelles, cell signaling, cell cycle, cell division, cytoskeleton, membrane biology, vesicular trafficking, apoptosis, or cell biology techniques. Also use when the user mentions 'organelle', 'mitochondria', 'endoplasmic reticulum', 'Golgi', 'cytoskeleton', 'cell cycle', 'mitosis', 'meiosis', 'apoptosis', 'signal transduction', 'membrane potential', 'endocytosis', or 'cell migration'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level computational chemistry knowledge. Use when working with molecular dynamics, density functional theory, force fields, quantum chemistry calculations, molecular docking, free energy calculations, or cheminformatics. Also use when the user mentions 'DFT', 'molecular dynamics', 'force field', 'AMBER', 'GROMACS', 'Gaussian', 'basis set', 'geometry optimization', 'molecular docking', 'free energy perturbation', 'QSAR', or 'cheminformatics'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level organic chemistry knowledge. Use when working with organic reactions, mechanisms, functional groups, stereochemistry, synthesis planning, spectroscopy, or named reactions. Also use when the user mentions 'organic reaction', 'mechanism', 'functional group', 'stereochemistry', 'synthesis', 'NMR', 'IR spectroscopy', 'SN1', 'SN2', 'elimination', 'addition', 'aromatic', 'carbonyl', or 'named reaction'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level numerical methods knowledge. Use when working with root finding, numerical integration, numerical differentiation, interpolation, numerical linear algebra, ODEs, PDEs, or optimization algorithms. Also use when the user mentions 'Newton method', 'bisection', 'Runge-Kutta', 'finite difference', 'finite element', 'interpolation', 'numerical integration', 'quadrature', 'iterative solvers', 'condition number', 'round-off error', or 'truncation error'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level evolutionary biology covering natural selection, genetic drift, molecular evolution, phylogenetics, speciation, macroevolution, and the modern synthesis.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level mathematical logic knowledge. Use when working with propositional logic, first-order logic, proof theory, model theory, computability theory, Godel incompleteness theorems, set theory, type theory, or formal verification. Also use when the user mentions 'formal proof', 'Godel', 'incompleteness', 'Turing machine', 'decidability', 'Zermelo-Fraenkel', 'axiom of choice', 'model theory', 'completeness theorem', 'computability', 'formal language', or 'type theory'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level graph theory knowledge. Use when working with graph algorithms, network flows, matching, graph coloring, planar graphs, spectral graph theory, random graphs, or graph applications in computer science and networks. Also use when the user mentions 'shortest path', 'minimum spanning tree', 'network flow', 'bipartite matching', 'graph coloring', 'clique', 'independent set', 'vertex cover', 'planarity', 'graph isomorphism', 'adjacency matrix', or 'Laplacian'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新
Expert-level number theory knowledge. Use when working with divisibility, prime numbers, modular arithmetic, congruences, Diophantine equations, cryptography, quadratic residues, or analytic number theory. Also use when the user mentions 'prime', 'divisibility', 'modular arithmetic', 'congruence', 'GCD', 'Euler totient', 'Fermat little theorem', 'Chinese remainder theorem', 'quadratic residue', 'Diophantine equation', 'RSA', or 'prime factorization'.
日本語の概要は準備中です。原文の説明を表示しています。
luokai0/ai-agent-skills-by-luo-kai☆ 122026年5月6日 更新