Math

Analyze Diffusion Dynamics

by pjt222

Agent Almanac — a curated reference of executable skills, specialist agents, and teams for AI-assisted development, with interactive visualization

long-context

by davila7

Extend context windows of transformer models using RoPE, YaRN, ALiBi, and position interpolation techniques. Use when processing long documents (32k-128k+ tokens), extending pre-trained models beyond original context limits, or implementing efficient positional encodings. Covers rotary embeddings, attention biases, interpolation methods, and extrapolation strategies for LLMs.

xlsx

by iOfficeAI

'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'

pdf-generation

by glebis

Professional PDF generation from markdown using Pandoc with Eisvogel template and EB Garamond fonts. Use when converting markdown to PDF, creating white papers, research documents, marketing materials, or technical documentation. Supports both English and Russian documents with professional typography and color-coded themes. Mobile-optimized layout (6x9) by default for Telegram bot context, desktop/print layout (A4) for other contexts.

issue-triage

by BasedHardware

"Automate issue triage using ISSUE_TRIAGE_GUIDE.MD. Use when analyzing GitHub issues. Scores issues using triage formula, assigns priority levels, suggests lane assignment, and maps to Omi layers."

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.

llm-provider-usage-statistics

by letta-ai

Reference guide for token counting and prefix caching across LLM providers (OpenAI, Anthropic, Gemini). Use when debugging token counts or optimizing prefix caching.

manim-composer

by adithya-s-k

Trigger when: (1) User wants to create an educational/explainer video, (2) User has a vague concept they want visualized, (3) User mentions "3b1b style" or "explain like 3Blue1Brown", (4) User wants to plan a Manim video or animation sequence, (5) User asks to "compose" or "plan" a math/science visualization. Transforms vague video ideas into detailed scene-by-scene plans (scenes.md). Conducts research, asks clarifying questions about audience/scope/focus, and outputs comprehensive scene specifications ready for implementation with ManimCE or ManimGL. Use this BEFORE writing any Manim code. This skill plans the video; use manimce-best-practices or manimgl-best-practices for implementation.

paper-writing-section

by lingzhi227

Write a specific section of an academic paper (Abstract, Introduction, Background, Related Work, Methods, Experiments, Results, Discussion/Conclusion) with section-specific guidance and two-pass refinement. Use when the user wants to write, draft, or improve a paper section.

atomic-decomposition

by lingzhi227

Decompose research ideas into atomic, self-contained concepts with bidirectional math-code mapping. For each concept, extract the math formula from papers and find code implementations. Use for complex system papers requiring formal grounding.

gridfinity-baseplate-planner

by dgalarza

Use this skill when planning and designing gridfinity baseplates for 3D printing. This includes calculating optimal grid sizes from given measurements, determining how to slice large grids into printable chunks based on printer bed dimensions, and calculating padding requirements for non-exact fits. The skill handles both metric and imperial measurements and provides guidance for using gridfinity.perplexinglabs.com to generate the actual STL files.

component-identification-sizing

by tech-leads-club

Identifies architectural components in codebases and calculates size metrics for decomposition planning. Use when analyzing codebase structure, planning monolithic decomposition, identifying oversized components, calculating component statistics, or when the user asks about component analysis, codebase sizing, or architectural decomposition.

xlsx

by openakita

"Use this skill any time a spreadsheet file is the primary input or output. This means any task where the user wants to: open, read, edit, or fix an existing .xlsx, .xlsm, .csv, or .tsv file (e.g., adding columns, computing formulas, formatting, charting, cleaning messy data); create a new spreadsheet from scratch or from other data sources; or convert between tabular file formats. Trigger especially when the user references a spreadsheet file by name or path — even casually (like \"the xlsx in my downloads\") — and wants something done to it or produced from it. Also trigger for cleaning or restructuring messy tabular data files (malformed rows, misplaced headers, junk data) into proper spreadsheets. The deliverable must be a spreadsheet file. Do NOT trigger when the primary deliverable is a Word document, HTML report, standalone Python script, database pipeline, or Google Sheets API integration, even if tabular data is involved."

drawio

by markdown-viewer

General-purpose diagramming tool using drawio XML format with 8900+ stencils. Best for custom diagrams requiring pixel-perfect positioning, diagrams with vendor-specific icons (AWS, Azure, Cisco), or any diagram not covered by specialized skills. Use network skill for network topology, uml skill for UML diagrams, architecture skill for layered system views. NOT for simple flowcharts (use mermaid) or data-driven charts (use vega).

statistics-fundamentals

by JoelLewis

"Statistical methods for financial data: distributions, covariance matrices, regression, bootstrapping, shrinkage estimators."

manimgl-best-practices

by adithya-s-k

Trigger when: (1) User mentions "manimgl" or "ManimGL" or "3b1b manim", (2) Code contains from manimlib import *, (3) User runs manimgl CLI commands, (4) Working with InteractiveScene, self.frame, self.embed(), ShowCreation(), or ManimGL-specific patterns. Best practices for ManimGL (Grant Sanderson's 3Blue1Brown version) - OpenGL-based animation engine with interactive development. Covers InteractiveScene, Tex with t2c, camera frame control, interactive mode (-se flag), 3D rendering, and checkpoint_paste() workflow. NOT for Manim Community Edition (which uses manim imports and manim CLI).

file-operations

by mhattingpete

Analyze files and get detailed metadata including size, line counts, modification times, and content statistics. Use when users request file information, statistics, or analysis without modifying files.

Xlsx

by danielmiessler

Excel file processing. USE WHEN xlsx, Excel, spreadsheet. SkillSearch('xlsx') for docs.

simpleitk-image-registration

by jaechang-hits

"Register, segment, filter, and resample 3D medical images (MRI, CT, microscopy) using SimpleITK's Python API with support for DICOM, NIfTI, and multi-modal image analysis. Provides rigid/affine/deformable registration, threshold and region-growing segmentation, Gaussian and morphological filtering, label statistics, and format conversion. Use when aligning volumetric images across timepoints or modalities, automating segmentation of fluorescence microscopy, or converting DICOM series to NIfTI for analysis pipelines."

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"

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."

A B Testing

by omer-metin

billing-automation

by aAAaqwq

"Build automated billing systems for recurring payments, invoicing, subscription lifecycle, and dunning management. Use when implementing subscription billing, automating invoicing, or managing recu..."

math-reasoning

by lingzhi227

Formal mathematical reasoning for research papers — derive equations, write proofs, formalize problem settings, select statistical tests, and generate LaTeX math notation. Use when the user needs mathematical derivations, theorem proofs, notation tables, or statistical analysis formalization.