Math
Mathematical computations, formulas, statistics
calculation
by sjtu-sai-agents
"When using Mat MCP tools (mat_sg_*, mat_dpa_*, mat_doc_*): (1) Use the URL returned by a previous tool (e.g. structure_paths) as input to the next tool—do not pass only a filename when the previous step returned an https URL. (2) For long-running DPA tasks use submit_* first, then query_job_status, then get_job_results when Done—do not use synchronous tools which may timeout. (3) When polling job status, wait 30–60 seconds between queries; call get_job_results once status is Done/Success."
linear-combination
by unitarylab
Analytic quantum gradient and Quantum Geometric Tensor (QGT) estimation via linear combination of unitaries (LCU). Supports Estimator (expectation value gradients), Sampler (probability distribution gradients), and QGT primitives with configurable derivative types.
game-loop
by dadbodgeoff
Fixed timestep game loop with interpolation for frame-rate independent physics. Separates physics updates from rendering, prevents spiral of death, and supports hitstop/slow-mo effects.
deduplication
by dadbodgeoff
Event deduplication with canonical selection, reputation scoring, and hash-based grouping for multi-source data aggregation. Handles both ID-based and content-based deduplication.
xlsx
by appautomaton
"Comprehensive spreadsheet creation, editing, and analysis with support for formulas, formatting, data analysis, and visualization. When Claude needs to work with spreadsheets (.xlsx, .xlsm, .csv, .tsv, etc) for: (1) Creating new spreadsheets with formulas and formatting, (2) Reading or analyzing data, (3) Modify existing spreadsheets while preserving formulas, (4) Data analysis and visualization in spreadsheets, or (5) Recalculating formulas"
case-interview-practice
by travisjneuman
Interactive consulting case interview practice with structured frameworks, feedback mechanisms, and progressive difficulty. Use when preparing for management consulting interviews, case competitions, or business problem-solving exercises.
calculator
by Code-and-Sorts
Performs arbitrary-precision arithmetic calculations including addition, subtraction, multiplication, division, and exponents. Use when the user asks to calculate, compute, or evaluate math expressions, or when precise decimal arithmetic is needed to avoid floating-point errors.
checking-image-bounds-transform
by christian289
"Checks and clamps mouse coordinates within transformed image bounds in WPF. Use when implementing measurement tools or annotations that should only work inside Pan/Zoom/Rotate transformed images."
creating-graphics-in-code
by christian289
"Creates WPF graphics dynamically in C# code using Shape, PathGeometry, and PathFigure classes. Use when building charts, diagrams, or procedurally generated graphics."
displaying-slider-index
by christian289
"Displays 0-based collection indices as 1-based numbers in WPF Slider controls. Use when showing user-friendly slice/page numbers while maintaining 0-based internal indexing."
xlsx
by CommandCodeAI
"Comprehensive spreadsheet creation, editing, and analysis with support for formulas, formatting, data analysis, and visualization. When Claude needs to work with spreadsheets (.xlsx, .xlsm, .csv, .tsv, etc) for: (1) Creating new spreadsheets with formulas and formatting, (2) Reading or analyzing data, (3) Modify existing spreadsheets while preserving formulas, (4) Data analysis and visualization in spreadsheets, or (5) Recalculating formulas"
finances
by whawkinsiv
"Use this skill when the user needs to build a financial model, calculate unit economics, understand MRR/ARR/churn, or figure out their quit number. Covers SaaS metrics, CAC/LTV, burn rate, cash flow modeling, and making unit economics legible for non-finance founders."
blueprint-feature-tracker-status
by laurigates
"Display feature tracker statistics and completion summary"
shor
by unitarylab
Use this skill when the user asks for Shor integer factorization, quantum order-finding, period estimation, or implementing/running/debugging ShorAlgorithm in this repository (especially matrix/operator methods, IQFT-based phase post-processing, and continued-fraction period recovery). Keywords: shor, factor N, order finding, period finding, modular exponentiation, continued fraction, quantum factoring, ShorAlgorithm.
qsp
by unitarylab
QSP-based Hamiltonian simulation approximates e^{-iHt} by block-encoding the Hamiltonian and applying polynomial spectral transformations via interleaved signal-processing rotations, achieving high precision with efficiently bounded circuit depth.
discretelog
by unitarylab
"Use when users ask about solving the discrete logarithm problem g^x ≡ y (mod P) with Shor's quantum algorithm, building/explaining DLP circuits, running simulator demos, or debugging post-processing (continued fractions, order recovery, congruence solving). Triggers: discrete log, DLP, Shor discrete logarithm, g^x mod P, modular exponentiation, continued fractions, quantum cryptography demo."
hamiltonian-simulation
by unitarylab
Quantum Hamiltonian simulation methods for approximating time evolution e^{-iHt}. Includes Trotter-Suzuki decomposition, QDrift randomized sampling, Cartan decomposition, QSP polynomial spectral transformation, and Taylor series LCU expansion.
market-mechanics-betting
by lyndonkl
Use to convert probabilities into decisions (bet/pass/hedge) and optimize scoring. Invoke when need to calculate edge, size bets optimally (Kelly Criterion), extremize aggregated forecasts, or improve Brier scores. Use when user mentions betting strategy, Kelly, edge calculation, Brier score, extremizing, or translating belief into action.
geographic-clustering
by dadbodgeoff
Grid-based geographic clustering with O(n) performance, medoid finding for map markers, and multi-factor risk scoring from event density, sentiment, and recency.
2-Monad Skill
by plurigrid
Layering adds structure level by level. 2-monads layer algebraic structure on categories, with each strictness level a new layer.
adjunction-algebra
by plurigrid
"Adjunctions as universal arrows. Left ⊣ Right."
implementing-2d-graphics
by christian289
"Implements WPF 2D graphics using Shape, Geometry, Brush, and Pen classes. Use when building vector graphic UIs, icons, charts, or diagrams in WPF applications."
obsidian-bases
by heyitsnoah
Create and edit Obsidian Bases (.base files) with views, filters, formulas, and summaries. Use when working with .base files, creating database-like views of notes, or when the user mentions Bases, table views, card views, filters, or formulas in Obsidian.
Analyze Diffusion Dynamics
by pjt222
Agent Almanac — a curated reference of executable skills, specialist agents, and teams for AI-assisted development, with interactive visualization