Comprehensive guide for Manim Community - Python framework for creating mathematical animations and educational videos with programmatic control

Create a .docx by drafting Markdown first, rendering Mermaid via Kroki, then converting with pandoc (with safe escaping + math support).

Molecular dynamics simulation setup, execution, and trajectory analysis

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Trade memecoins across 8 chains and earn USDC — $69 bounty per graduation trigger, 0.5% creator fee forever, 50% Uniswap V3 LP fees after graduation. First 100 agents trade FREE for 60 days. Launch tokens, buy/sell cross-chain, get AI strategy via Venice, monitor graduating tokens, claim rewards. 8 chains, 5-25s settlement. Triggers: omni.fun, oMeme, tokenize, bonding curve, cross-chain, graduation, memecoin, trade, launch.

Analyze rental property investment deals by calculating key metrics including cap rate, cash-on-cash return, DSCR, GRM, and the 1% rule. Use when evaluating a property purchase, comparing deals, running what-if scenarios on price or financing, or when an owner asks whether a deal makes financial sense. Produces a deal verdict and 5-year projection.

Design and simulate adaptive clinical trials with interim analyses,

Calculate Body Mass Index (BMI) and Body Surface Area (BSA) for clinical

Calculate complex buffer recipes with precise measurements for molecular biology and biochemistry applications. Provides accurate mass/volume calculations, pH considerations, and step-by-step preparation instructions.

Process CRISPR screening data to identify essential genes and hit candidates. Performs quality control, statistical analysis (RRA), and hit calling for pooled CRISPR screens including viability screens and drug resistance/sensitivity studies.

Use outlier detection handler for data analysis workflows that need structured execution, explicit assumptions, and clear output boundaries.

Advanced sample size and power calculations for complex study designs including survival analysis, clustered designs, and multiple comparisons.

Play the classic Rock Paper Scissors Lizard Spock game (popularized by The Big Bang Theory) with an AI opponent. Includes both decorated terminal and interactive GUI modes with score tracking, statistics, and animations.

Xlink IoT Agent - Query IoT devices and events via Xlink Gateway API. Provides device overview, device list, event instance queries, and alert statistics. Use when managing IoT devices and monitoring events on the XLink IoT platform.

Element Market API integration. This skill strictly requires the 'ELEMENT_API_KEY' environment variable to function.

Submits proofs to the OpenMath platform using a two-stage commit-reveal flow. Use when the user wants to commit a proof hash or reveal a Lean/Rocq proof on the Shentu network.

Conduct Gage R&R studies and validate measurement systems per AIAG MSA manual. Covers variable and attribute studies, acceptance criteria, and calculation methods. USE WHEN user says 'MSA', 'gage R&R', 'GR&R', 'measurement system', 'repeatability', 'reproducibility', 'attribute agreement', or 'ndc'. Integrates with ControlPlan, SPC, and AutomotiveManufacturing skills.

Guidance for implementing adaptive rejection sampling (ARS) algorithms for generating random samples from log-concave probability distributions. This skill should be used when tasks involve implementing ARS, rejection sampling, or Monte Carlo methods that require sampling from custom probability distributions, particularly in R or other statistical computing languages.

Probability, moments/tails, Bayes, and statistical learning foundations for systematic trading.

Factor modeling and portfolio construction (Markowitz, Black-Litterman, constraints, turnover).

Tail risk, EVT, regularization, validation guardrails, and common pitfalls.

Aggregate and summarize event datasets (logs) using OPAL statsby. Use when you need to count, sum, or calculate statistics across log events. Covers make_col for derived columns, statsby for aggregation, group_by for grouping, aggregation functions (count, sum, avg, percentile), and topk for top N results. Returns single summary row per group across entire time range. For time-series trends, see time-series-analysis skill.

Comprehensive Ash framework guidelines for Elixir applications. Use when working with Ash resources, domains, actions, queries, changesets, policies, calculations, or aggregates. Covers code interfaces, error handling, validations, changes, relationships, and authorization. Read documentation before using Ash features - do not assume prior knowledge.

Implement hooks using HookMgr and extension points in B2C Commerce. Use when extending OCAPI/SCAPI behavior, handling system events like order calculation, or registering custom hook implementations. Covers hooks.json, dw.ocapi hooks, and custom extension points.

Achieve comprehensive baseline (V_meta ≥0.40) in iteration 0 to enable rapid convergence. Use when planning iteration 0 time allocation, domain has established practices to reference, rich historical data exists for immediate quantification, or targeting 3-4 iteration convergence. Provides 4 quality levels (minimal/basic/comprehensive/exceptional), component-by-component V_meta calculation guide, and 3 strategies for comprehensive baseline (leverage prior art, quantify baseline, domain universality analysis). 40-50% iteration reduction when V_meta(s₀) ≥0.40 vs <0.20. Spend 3-4 extra hours in iteration 0, save 3-6 hours overall.

This skill should be used when inserting files (images, PDFs, Excel files, documents) into the CRM database and linking them to companies, people, events, or sales opportunities. The skill handles base64 encoding, hash calculation, MIME type detection, and SQL insertion automatically through a Python script.

Box Least Squares (BLS) periodogram for detecting transiting exoplanets and eclipsing binaries. Use when searching for periodic box-shaped dips in light curves. Alternative to Transit Least Squares, available in astropy.timeseries. Based on Kovács et al. (2002).

Document leftover tasks as GitHub issues with full correlation to branch, PR, and original work plan. Use when ending a session with incomplete work that another agent should pick up.

Deep codebase analysis to discover actual coding standards through statistical evidence. Use when analyzing naming conventions, import patterns, or detecting anti-patterns in existing code. Provides evidence-based detection of how the codebase actually works (not aspirations).

Detects optimal commit type from git changes. Use when analyzing commits, determining commit type, or before committing.

computed-columns

Scholze-Clausen condensed mathematics bridge to sheaf neural networks via 6-functor formalism

Construction cost estimation, project budgeting, material takeoffs, and bid preparation for contractors and builders

Pure function patterns, Zod schemas, database independence, calculation functions for @repo/core

Count the total number of MCP tools in the Umbraco MCP Server project and provide a breakdown by collection. Use when the user asks about tool counts, tool statistics, or how many tools exist.

Field connection mapping and systematic ideation for method transfer

Use when editing Planning Hubs, timelines, calendars, or any file with day-name + date combinations (Wed Nov 12), relative dates (tomorrow), or countdowns (18 days until) - validates day-of-week accuracy, relative date calculations, and countdown math with two-source ground truth verification before allowing edits

Use when making architectural or business logic decisions during conversations - adds entry to DECISIONS.md

Scan and catalog document collections with metadata extraction, categorization, and statistics. Use for auditing document libraries, preparing for knowledge base creation, or understanding large file collections.

Extract physical observables with error estimates from completed DQMC simulations. Use when computing density, double occupancy, spin correlations, structure factors, or any measured quantity from simulation data.

Manage e-commerce orders and returns using task management and business rules together. Use for order processing, returns, shipping calculations, and discount applications.

Calculate and analyze Turkish electricity imbalance costs including KUPST (Kesinleşmiş Üretim Planından Sapma Tutarı/Production Plan Deviation Cost), positive/negative imbalance penalties, and DSG (Dengeden Sorumlu Grup) tolerance calculations. Use when asking about imbalance settlement, deviation costs, KUPST, energy surplus/deficit penalties, or imbalance calculations in Turkey. Triggers on: dengesizlik maliyeti, sapma tutarı, KUPST, KÜPST, enerji açığı, enerji fazlası, imbalance penalty.

Implementation workflows and decision trees for ERPNext Server Scripts. Use when determining HOW to implement server-side features: document validation, automated calculations, API endpoints, scheduled tasks, permission filtering. Triggers: how do I implement server-side, when to use server script vs controller, which script type, build custom API, automate validation, schedule task, filter documents per user.

Use when theoretical calculations need experimental validation, protocols must be designed with clear hypotheses and success criteria, or resource requirements (equipment, materials, expertise) must be estimated for proposed experiments

This skill provides guidance for FEAL cipher linear cryptanalysis tasks. It should be used when recovering encryption keys from FEAL-encrypted data using known plaintext-ciphertext pairs, implementing linear approximation attacks on block ciphers, or solving cryptanalysis challenges involving the FEAL cipher family. The skill emphasizes mathematical analysis over brute-force approaches.

Calculates TAM/SAM/SOM and assesses market timing. Use when sizing markets, estimating addressable opportunity, analyzing market timing, or validating opportunity scale.

Analyze git repository changes, branch differences, and commit history. Use when analyzing branches, comparing changes, examining commit history, or preparing for PR/commit operations.

Hydrodynamic analysis using BEM, RAOs, added mass, damping, and wave loads for offshore structures

Implements event-driven architecture with Watermill pub/sub (RabbitMQ/AMQP/message queue) for go-kratos microservices. Creates publisher/subscriber wrappers, event handlers, worker services with context propagation (request_id, correlation_id), and RabbitMQ/AMQP integration. Use when implementing pub/sub patterns, creating message queues, adding event handlers, building worker services for async processing, or setting up background jobs.

Hybrid language detection algorithm for Vigil Guard v2.0.0. Use for language-detector Flask API, entity-based hints, Polish PESEL/NIP detection, 3-branch pipeline integration, accuracy troubleshooting, and langdetect integration.