Plan a comprehensive spectroscopic analysis campaign by defining the analytical question, assessing sample characteristics, selecting appropriate techniques using a decision matrix, planning sample preparation for each technique, sequencing analyses from…
Skills in this repository
merceralex397-collab/meta-skill-engineering - Page 10
SkillsMP has collected 606 skills from merceralex397-collab/meta-skill-engineering. Open a skill to review its source and details.
merceralex397-collab/meta-skill-engineeringShowing 40 of 606 collected skills.
Analyze prime numbers using primality tests, factorization algorithms, prime distribution analysis, and sieve methods. Covers trial division, Miller-Rabin, Sieve of Eratosthenes, and the Prime Number Theorem. Use when determining whether an integer is prime…
Solve Diophantine equations (integer-only solutions) including linear, quadratic, and Pell equations. Covers the extended Euclidean algorithm, descent methods, and existence proofs. Use when finding all integer solutions to ax + by = c, solving Pell's…
Fit cognitive drift-diffusion models (Ratcliff DDM) to reaction time and accuracy data with parameter estimation (drift rate, boundary separation, non-decision time), model comparison, and parameter recovery validation. Use when modeling binary…
Fit hidden Markov models using the Baum-Welch (EM) algorithm with model selection, Viterbi decoding for state sequences, and forward-backward probabilities. Use when observations are generated by unobservable latent states, you need to segment a time series…
Build and analyze discrete or continuous Markov chains including transition matrix construction, state classification, stationary distribution computation, and mean first passage times. Use when modeling a memoryless system with observed transition counts or…
Prove geometric theorems using Euclidean axiomatic methods, coordinate geometry, or vector methods with rigorous step-by-step logical structure. Covers direct proof, proof by contradiction, coordinate proofs, vector proofs, and handling of special cases and…
Solve modular arithmetic problems including congruences, systems via the Chinese Remainder Theorem, modular inverses, and Euler's theorem applications. Covers both manual and computational approaches. Use when solving linear congruences, computing modular…
Solve trigonometric equations and triangle problems systematically using identities, law of sines/cosines, inverse functions, and unit circle analysis. Covers equation solving, triangle resolution, identity verification, and applied trigonometric modeling.…
Adopt an adversary's mindset and actively attempt to break, exploit, or defeat a design, plan, or system. Use when the user says "red-team this", "attack this design", "find the holes", "how would an adversary exploit this", or when a proposal needs…
Store, rotate, and inject secrets using Vault, AWS Secrets Manager, GCP Secret Manager, or environment variables with least-privilege access and rotation policies. Use when adding secrets to applications, configuring secret stores, setting up rotation, or…
Perform language and framework specific security best-practice reviews and suggest improvements. Trigger only when the user explicitly requests security best practices guidance, a security review/report, or secure-by-default coding help. Trigger only for…
Apply OWASP Top 10 mitigations as concrete grep-able patterns and code fixes during development and review. Trigger on "harden application", "OWASP review", "security controls", "injection prevention", "XSS prevention", or security audit response. Do not use…
Analyze git repositories to build a security ownership topology (people-to-file), compute bus factor and sensitive-code ownership, and export CSV/JSON for graph databases and visualization. Trigger only when the user explicitly wants a security-oriented…
Read-only security audit covering OWASP Top 10, secrets exposure, input validation, and dependency vulnerabilities. Trigger — "security review", "check for vulnerabilities", "audit auth", "find secrets in code", "OWASP scan", "check for SQL injection",…
Repository-grounded threat modeling that enumerates trust boundaries, assets, attacker capabilities, abuse paths, and mitigations, and writes a concise Markdown threat model. Trigger on 'threat model', 'enumerate threats', 'abuse paths', 'AppSec threat…
Conduct a GxP audit of computerized systems and processes. Covers audit planning, opening meetings, evidence collection, finding classification (critical/major/minor), CAPA generation, closing meetings, report writing, and follow-up verification. Use for…
Implement pharmaceutical serialisation and track-and-trace systems compliant with EU FMD, US DSCSA, and other global regulations. Covers unique identifier generation, aggregation hierarchy, EPCIS data exchange, and verification endpoint integration. Use when…
Perform a Computer Systems Validation (CSV) assessment following GAMP 5 methodology. Covers user requirements, risk assessment, IQ/OQ/PQ planning, traceability matrix creation, and validation summary reporting. Use when a new computerized system is being…
Set up an R project structure compliant with GxP regulations (21 CFR Part 11, EU Annex 11). Covers validated environments, qualification documentation, change control, and electronic records requirements. Use when starting an R analysis project in a regulated…
Implements game UI and HUD systems including health bars, minimaps, menus, inventory screens, and responsive layouts. Use when building HUD elements, menu systems, screen-space or world-space UI, UI animation, input focus navigation, accessibility features,…
Diagnoses and resolves game performance bottlenecks using frame budgets, CPU/GPU profilers, draw call analysis, memory tracking, and engine-specific tools like Unity Profiler, Unreal Insights, and RenderDoc. Use when investigating frame drops, high draw…
Implements game save/load systems including serialization, versioned save files, autosave, cloud sync, and schema migration across Unity, UE5, and Godot. Use when building save file structures, adding serialization, implementing autosave/checkpoints,…
Guides Unity C# development — MonoBehaviour lifecycle, component architecture, ScriptableObjects, Addressables, New Input System, Physics, ECS/DOTS, coroutines, UI Toolkit, Assembly Definitions, prefab workflows, and common C# patterns like object pooling and…
Guides Unreal Engine 5 C++ development — UObject reflection system (UCLASS, UPROPERTY, UFUNCTION), AActor lifecycle, Gameplay Framework (GameMode, PlayerController, PlayerState), components, delegates, replication, Enhanced Input, Gameplay Ability System,…
Implements NPC AI using behavior trees, FSMs, utility AI, GOAP, steering behaviors, and perception systems. Use when building enemy AI, companion logic, NPC patrol/combat routines, pathfinding, or agent decision-making in Unity, Unreal, or Godot.
Designs core game systems including gameplay loops, economy, progression, combat formulas, difficulty scaling, loot tables, and balance methodology. Use when building or tuning engagement loops, XP curves, damage formulas, drop tables, economy sources/sinks,…
Implements multiplayer networking with client-server authority, state synchronization, lag compensation, and prediction across Unity Netcode, UE5 Replication, and Godot MultiplayerAPI. Use when building networked gameplay, syncing game state, adding…
Designs and maintains worldbuilding data systems — lore databases (factions, characters, locations, events), narrative graph structures, codex/encyclopedia unlock systems, faction reputation matrices, timeline/history tracking, consistency validation,…
Builds, validates, and maintains fictional world lore — cultures, magic/tech systems, timelines, and internal consistency. Trigger phrases: "worldbuilding", "lore bible", "magic system", "fictional culture", "timeline consistency", "world bible", "canon…
Compute and analyze gematria (Hebrew numerical values) using standard, ordinal, and reduced methods. Covers word-to-number conversion, isopsephy comparisons, and interpretive frameworks. Use when computing the numerical value of a Hebrew word or phrase,…
AI context assessment — evaluating problem malleability, mapping structural rigidity versus flexibility, analyzing transformation pressure, and estimating capacity to adapt. Use when a complex task feels stuck and it is unclear whether to push through or…
Evaluate a system's current structural form, identify transformation pressure, and classify transformation readiness. Covers structural inventory, pressure mapping, rigidity assessment, change capacity estimation, and readiness classification for…
AI relational calibration — reading and adapting to the specific person you are working with. Goes beyond user-intent alignment (solving the right problem) to genuine attunement (meeting the person where they are). Maps communication style, expertise depth,…
AI situational awareness — internal threat detection for hallucination risk, scope creep, and context degradation. Maps Cooper color codes to reasoning states and OODA loop to real-time decisions. Use during any task where reasoning quality matters, when…
Consistent agent behavior after restart — progressive identity loading, working context reconstruction from persistent artifacts, fresh-vs-continuation detection, calibration through centering and attunement, and identity verification for coherence. Addresses…
Creation and genesis — generative ideation from void, structured emergence from ambiguity, and the discipline of bringing new patterns into existence. Maps Brahma's creative power to AI reasoning: transforming cleared space into coherent new structures,…
AI multi-path reasoning coherence using bee democracy — independent evaluation of competing approaches, waggle dance as reasoning-out-loud, quorum sensing for confidence thresholds, and deadlock resolution. Use when forage-solutions has identified multiple…
Achieve distributed agreement without central authority using bee democracy, threshold voting, and quorum sensing. Covers proposal generation, advocacy dynamics, commitment thresholds, deadlock resolution, and consensus quality assessment. Use when a group…
AI dynamic reasoning balance — maintaining grounded reasoning under cognitive pressure, smooth chain-of-thought coordination, and weight-shifting cognitive load across subsystems. Use at the beginning of a complex task requiring multiple coordinated reasoning…