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thinking-frameworks-marketplace

lyndonkl/claude
active
1plugins
76skills
Kushal D'Souza

thinking-frameworks-skills

76 skills

abstraction-concrete-examples

verified

Use when explaining concepts at different expertise levels, moving between abstract principles and concrete implementation, identifying edge cases by testing ideas against scenarios, designing layered documentation, decomposing complex problems into actionable steps, or bridging strategy-execution gaps. Invoke when user mentions abstraction levels, making concepts concrete, or explaining at different depths.

academic-letter-architect

verified

Use when writing recommendation letters, reference letters, or award nominations for students, postdocs, or colleagues. Invoke when user mentions recommendation letter, reference, nomination, letter of support, endorsement, or needs help with strong advocacy, comparative statements, or evidence-based character assessment.

adr-architecture

verified

Use when documenting significant technical or architectural decisions that need context, rationale, and consequences recorded. Invoke when choosing between technology options, making infrastructure decisions, establishing standards, migrating systems, or when team needs to understand why a decision was made. Use when user mentions ADR, architecture decision, technical decision record, or decision documentation.

alignment-values-north-star

verified

Use when teams need shared direction and decision-making alignment. Invoke when starting new teams, scaling organizations, defining culture, establishing product vision, resolving misalignment, creating strategic clarity, or setting behavioral standards. Use when user mentions North Star, team values, mission, principles, guardrails, decision framework, or cultural alignment.

bayesian-reasoning-calibration

verified

Use when making predictions or judgments under uncertainty and need to explicitly update beliefs with new evidence. Invoke when forecasting outcomes, evaluating probabilities, testing hypotheses, calibrating confidence, assessing risks with uncertain data, or avoiding overconfidence bias. Use when user mentions priors, likelihoods, Bayes theorem, probability updates, forecasting, calibration, or belief revision.

brainstorm-diverge-converge

verified

Use when you need to generate many creative options before systematically narrowing to the best choices. Invoke when exploring product ideas, solving open-ended problems, generating strategic alternatives, developing research questions, designing experiments, or when you need both breadth (many ideas) and rigor (principled selection). Use when user mentions brainstorming, ideation, divergent thinking, generating options, or evaluating alternatives.

career-document-architect

verified

Use when writing or reviewing career documents including research statements, teaching statements, diversity statements, CVs, or biosketches. Invoke when user mentions research statement, teaching philosophy, diversity statement, biosketch, academic CV, faculty application, or needs help with career narrative, positioning, or professional documents for academic advancement.

causal-inference-root-cause

verified

Use when investigating why something happened and need to distinguish correlation from causation, identify root causes vs symptoms, test competing hypotheses, control for confounding variables, or design experiments to validate causal claims. Invoke when debugging systems, analyzing failures, researching health outcomes, evaluating policy impacts, or when user mentions root cause, causal chain, confounding, spurious correlation, or asks "why did this really happen?"

chain-estimation-decision-storytelling

verified

Use when making high-stakes decisions under uncertainty that require stakeholder buy-in. Invoke when evaluating strategic options (build vs buy, market entry, resource allocation), quantifying tradeoffs with uncertain outcomes, justifying investments with expected value analysis, pitching recommendations to decision-makers, or creating business cases with cost-benefit estimates. Use when user mentions "should we", "ROI analysis", "make a case for", "evaluate options", "expected value", "justify decision", or needs to combine estimation, decision analysis, and persuasive communication.

chain-roleplay-debate-synthesis

verified

Use when facing decisions with multiple legitimate perspectives and inherent tensions. Invoke when stakeholders have competing priorities (growth vs. sustainability, speed vs. quality, innovation vs. risk), need to pressure-test ideas from different angles before committing, exploring tradeoffs between incompatible values, synthesizing conflicting expert opinions into coherent strategy, or surfacing assumptions that single-viewpoint analysis would miss.

chain-spec-risk-metrics

verified

Use when planning high-stakes initiatives (migrations, launches, strategic changes) that require clear specifications, proactive risk identification (premortem/register), and measurable success criteria. Invoke when user mentions "plan this migration", "launch strategy", "implementation roadmap", "what could go wrong", "how do we measure success", or when high-impact decisions need comprehensive planning with risk mitigation and instrumentation.

chef-assistant

verified

Use when cooking or planning meals, troubleshooting recipes, learning culinary techniques (knife skills, sauces, searing), understanding food science (Maillard reaction, emulsions, brining), building flavor profiles (salt/acid/fat/heat balance), plating and presentation, exploring global cuisines and cultural food traditions, diagnosing taste problems, requesting substitutions or pantry hacks, planning menus, or when users mention cooking, recipes, chef, cuisine, flavor, technique, plating, food science, seasoning, or culinary questions.

code-data-analysis-scaffolds

verified

Use when starting technical work requiring structured approach - writing tests before code (TDD), planning data exploration (EDA), designing statistical analysis, clarifying modeling objectives (causal vs predictive), or validating results. Invoke when user mentions "write tests for", "explore this dataset", "analyze", "model", "validate", or when technical work needs systematic scaffolding before execution.

cognitive-design

verified

Use when designing visual interfaces, data visualizations, educational content, or presentations and need to ensure they align with how humans naturally perceive, process, and remember information. Invoke when user mentions cognitive load, visual hierarchy, dashboard design, form design, e-learning, infographics, or wants to improve clarity and reduce user confusion. Also applies when evaluating existing designs for cognitive alignment or choosing between design alternatives.

communication-storytelling

verified

Use when transforming analysis/data into persuasive narratives—presenting to executives, explaining technical concepts to non-technical audiences, creating customer-facing communications, writing investor updates, announcing changes, turning research into insights, or when user mentions "write this for", "explain to", "present findings", "make this compelling", "audience is". Invoke when information needs to become a story tailored to specific stakeholders.

constraint-based-creativity

verified

Use when brainstorming feels stuck or generates obvious ideas, need to break creative patterns, working with limited resources (budget/time/tools/materials), want unconventional solutions, designing with specific limitations, user mentions "think outside the box", "we're stuck", "same old ideas", "tight constraints", "limited budget/time", or seeking innovation through limitation rather than abundance.

d3-visualization

verified

Use when creating custom, interactive data visualizations with D3.js—building bar/line/scatter charts from scratch, creating network diagrams or geographic maps, binding changing data to visual elements, adding zoom/pan/brush interactions, animating chart transitions, or when chart libraries (Highcharts, Chart.js) don't support your specific visualization design and you need low-level control over data-driven DOM manipulation, scales, shapes, and layouts.

data-schema-knowledge-modeling

verified

Use when designing database schemas, need to model domain entities and relationships clearly, building knowledge graphs or ontologies, creating API data models, defining system boundaries and invariants, migrating between data models, establishing taxonomies or hierarchies, user mentions "schema", "data model", "entities", "relationships", "ontology", "knowledge graph", or when scattered/inconsistent data structures need formalization.

decision-matrix

verified

Use when comparing multiple named alternatives across several criteria, need transparent trade-off analysis, making group decisions requiring alignment, choosing between vendors/tools/strategies, stakeholders need to see decision rationale, balancing competing priorities (cost vs quality vs speed), user mentions "which option should we choose", "compare alternatives", "evaluate vendors", "trade-offs", or when decision needs to be defensible and data-driven.

decomposition-reconstruction

verified

Use when dealing with complex systems that need simplification, identifying bottlenecks or critical failure points, redesigning architecture or processes for better performance, breaking down problems that feel overwhelming, analyzing dependencies to understand ripple effects, user mentions "this is too complex", "where's the bottleneck", "how do we redesign this", "what are the key components", or when optimization requires understanding how parts interact.

deliberation-debate-red-teaming

verified

Use when testing plans or decisions for blind spots, need adversarial review before launch, validating strategy against worst-case scenarios, building consensus through structured debate, identifying attack vectors or vulnerabilities, user mentions "play devil's advocate", "what could go wrong", "challenge our assumptions", "stress test this", "red team", or when groupthink or confirmation bias may be hiding risks.

design-of-experiments

verified

Use when optimizing multi-factor systems with limited experimental budget, screening many variables to find the vital few, discovering interactions between parameters, mapping response surfaces for peak performance, validating robustness to noise factors, or when users mention factorial designs, A/B/n testing, parameter tuning, process optimization, or experimental efficiency.

dialectical-mapping-steelmanning

verified

Use when debates are trapped in false dichotomies, polarized positions need charitable interpretation, tradeoffs are obscured by binary framing, synthesis beyond 'pick one side' is needed, or when users mention steelman arguments, thesis-antithesis-synthesis, Hegelian dialectic, third way solutions, or resolving seemingly opposed principles.

discovery-interviews-surveys

verified

Use when validating product assumptions before building, discovering unmet user needs, understanding customer problems and workflows, testing concepts or positioning, researching target markets, identifying jobs-to-be-done and hiring triggers, uncovering pain points and workarounds, or when users mention user research, customer interviews, surveys, discovery interviews, validation studies, or voice of customer.

domain-research-health-science

verified

Use when formulating clinical research questions (PICOT framework), evaluating health evidence quality (study design hierarchy, bias assessment, GRADE), prioritizing patient-important outcomes, conducting systematic reviews or meta-analyses, creating evidence summaries for guidelines, assessing regulatory evidence, or when user mentions clinical trials, evidence-based medicine, health research methodology, systematic reviews, research protocols, or study quality assessment.

environmental-scanning-foresight

verified

Use when scanning external trends for strategic planning, monitoring PESTLE forces (Political, Economic, Social, Technological, Legal, Environmental), detecting weak signals (early indicators of change), planning scenarios for multiple futures, setting signposts and indicators for early warning, or when user mentions environmental scanning, horizon scanning, trend analysis, scenario planning, strategic foresight, futures thinking, or emerging issues monitoring.

equivariant-architecture-designer

verified

Use when you have validated symmetry groups and need to design neural network architecture that respects those symmetries. Invoke when user mentions equivariant layers, G-CNN, e3nn, steerable networks, building symmetry into model, or needs architecture recommendations for specific symmetry groups. Provides architecture patterns and implementation guidance.

estimation-fermi

verified

Use when making quick order-of-magnitude estimates under uncertainty (market sizing, resource planning, feasibility checks), decomposing complex quantities into estimable parts, bounding unknowns with upper/lower limits, sanity-checking strategic assumptions, or when user mentions Fermi estimation, back-of-envelope calculation, order of magnitude, ballpark estimate, triangulation, or needs to assess feasibility before detailed analysis.

ethics-safety-impact

verified

Use when decisions could affect groups differently and need to anticipate harms/benefits, assess fairness and safety concerns, identify vulnerable populations, propose risk mitigations, define monitoring metrics, or when user mentions ethical review, impact assessment, differential harm, safety analysis, vulnerable groups, bias audit, or responsible AI/tech.

evaluation-rubrics

verified

Use when need explicit quality criteria and scoring scales to evaluate work consistently, compare alternatives objectively, set acceptance thresholds, reduce subjective bias, or when user mentions rubric, scoring criteria, quality standards, evaluation framework, inter-rater reliability, or grade/assess work.

expected-value

verified

Use when making decisions under uncertainty with quantifiable outcomes, comparing risky options (investments, product bets, strategic choices), prioritizing projects by expected return, assessing whether to take a gamble, or when user mentions expected value, EV calculation, risk-adjusted return, probability-weighted outcomes, decision tree, or needs to choose between uncertain alternatives.

facilitation-patterns

verified

Use when running meetings, workshops, brainstorms, design sprints, retrospectives, or team decision-making sessions. Apply when need structured group discussion, managing diverse stakeholder input, ensuring equal participation, handling conflict or groupthink, or when user mentions facilitation, workshop design, meeting patterns, session planning, or running effective collaborative sessions.

financial-unit-economics

verified

Use when evaluating business model viability, analyzing profitability per customer/product/transaction, validating startup metrics (CAC, LTV, payback period), making pricing decisions, assessing scalability, comparing business models, or when user mentions unit economics, CAC/LTV ratio, contribution margin, customer profitability, break-even analysis, or needs to determine if a business can be profitable at scale.

focus-timeboxing-8020

verified

Use when managing time and attention, combating procrastination or context-switching, prioritizing high-impact work, planning daily/weekly schedules, improving focus and productivity, or when user mentions timeboxing, Pomodoro, deep work, 80/20 rule, Pareto principle, focus blocks, task batching, energy management, or needs structured approach to getting important work done.

forecast-premortem

verified

Use to stress-test predictions by assuming they failed and working backward to identify why. Invoke when confidence is high (>80% or <20%), need to identify tail risks and unknown unknowns, or want to widen overconfident intervals. Use when user mentions premortem, backcasting, what could go wrong, stress test, or black swans.

grant-proposal-assistant

verified

Use when writing or reviewing NIH, NSF, or foundation grant proposals. Invoke when user mentions specific aims, R01, R21, K-series, significance, innovation, approach section, grant writing, proposal review, research strategy, or needs help with fundable hypothesis, reviewer-friendly structure, or compliance with grant guidelines.

heuristics-and-checklists

verified

Use when making decisions under time pressure or uncertainty, preventing errors in complex procedures, designing decision rules or checklists, simplifying complex choices, or when user mentions heuristics, rules of thumb, mental models, checklists, error prevention, cognitive biases, satisficing, or needs practical decision shortcuts and systematic error reduction.

hypotheticals-counterfactuals

verified

Use when exploring alternative scenarios, testing assumptions through "what if" questions, understanding causal relationships, conducting pre-mortem analysis, stress testing decisions, or when user mentions counterfactuals, hypothetical scenarios, thought experiments, alternative futures, what-if analysis, or needs to challenge assumptions and explore possibilities.

information-architecture

verified

Use when organizing content for digital products, designing navigation systems, restructuring information hierarchies, improving findability, creating taxonomies or metadata schemas, or when users mention information architecture, IA, sitemap, navigation design, content structure, card sorting, tree testing, taxonomy, findability, or need help making information discoverable and usable.

kill-criteria-exit-ramps

verified

Use when defining stopping rules for projects, avoiding sunk cost fallacy, setting objective exit criteria, deciding whether to continue/pivot/kill initiatives, or when users mention kill criteria, exit ramps, stopping rules, go/no-go decisions, project termination, sunk costs, or need disciplined decision-making about when to quit.

layered-reasoning

verified

Use when reasoning across multiple abstraction levels (strategic/tactical/operational), designing systems with hierarchical layers, explaining concepts at different depths, maintaining consistency between high-level principles and concrete implementation, or when users mention 30,000-foot view, layered thinking, abstraction levels, top-down design, or need to move fluidly between strategy and execution.

mapping-visualization-scaffolds

verified

Use when complex systems need visual documentation, mapping component relationships and dependencies, creating hierarchies or taxonomies, documenting process flows or decision trees, understanding system architectures, visualizing data lineage or knowledge structures, planning information architecture, or when user mentions concept maps, system diagrams, dependency mapping, relationship visualization, or architecture blueprints.

market-mechanics-betting

verified

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.

memory-retrieval-learning

verified

Use when long-term knowledge retention is needed (weeks to months), studying for exams or certifications, learning new job skills or technology, mastering substantial material that requires systematic review, combating forgetting through spaced repetition and retrieval practice, or when user mentions studying, memorizing, learning plans, spaced repetition, flashcards, active recall, or durable learning.

meta-prompt-engineering

verified

Use when prompts produce inconsistent or unreliable outputs, need explicit structure and constraints, require safety guardrails or quality checks, involve multi-step reasoning that needs decomposition, need domain expertise encoding, or when user mentions improving prompts, prompt templates, structured prompts, prompt optimization, reliable AI outputs, or prompt patterns.

metrics-tree

verified

Use when setting product North Star metrics, decomposing high-level business metrics into actionable sub-metrics and leading indicators, mapping strategy to measurable outcomes, identifying which metrics to move through experimentation, understanding causal relationships between metrics (leading vs lagging), prioritizing metric improvement opportunities, or when user mentions metric tree, metric decomposition, North Star metric, leading indicators, KPI breakdown, metric drivers, or how metrics connect.

model-equivariance-auditor

verified

Use when you have implemented an equivariant model and need to verify it correctly respects the intended symmetries. Invoke when user mentions testing model equivariance, debugging symmetry bugs, verifying implementation correctness, checking if model is actually equivariant, or diagnosing why equivariant model isn't working. Provides verification tests and debugging guidance.

morphological-analysis-triz

verified

Use when need systematic innovation through comprehensive solution space exploration, resolving technical contradictions (speed vs precision, strength vs weight, cost vs quality), generating novel product configurations, exploring all feasible design alternatives before prototyping, finding inventive solutions to engineering problems, identifying patent opportunities through parameter combinations, or when user mentions morphological analysis, Zwicky box, TRIZ, inventive principles, technical contradictions, systematic innovation, or design space exploration.

negative-contrastive-framing

verified

Use when clarifying fuzzy boundaries, defining quality criteria, teaching by counterexample, preventing common mistakes, setting design guardrails, disambiguating similar concepts, refining requirements through anti-patterns, creating clear decision criteria, or when user mentions near-miss examples, anti-goals, what not to do, negative examples, counterexamples, or boundary clarification.

negotiation-alignment-governance

verified

Use when stakeholders need aligned working agreements, resolving decision authority ambiguity, navigating cross-functional conflicts, establishing governance frameworks (RACI/DACI/RAPID), negotiating resource allocation, defining escalation paths, creating team norms, mediating trade-off disputes, or when user mentions stakeholder alignment, decision rights, working agreements, conflict resolution, governance model, or consensus building.

one-pager-prd

verified

Use when proposing new features/products, documenting product requirements, creating concise specs for stakeholder alignment, pitching initiatives, scoping projects before detailed design, capturing user stories and success metrics, or when user mentions one-pager, PRD, product spec, feature proposal, product requirements, or brief.

portfolio-roadmapping-bets

verified

Use when managing multiple initiatives across time horizons (now/next/later, H1/H2/H3), balancing risk vs return across portfolio, sizing and sequencing bets with dependencies, setting exit/scale criteria for experiments, allocating resources across innovation types (core/adjacent/transformational), or when user mentions portfolio planning, roadmap horizons, betting framework, initiative prioritization, innovation portfolio, or resource allocation across horizons.

postmortem

verified

Use when analyzing failures, outages, incidents, or negative outcomes, conducting blameless postmortems, documenting root causes with 5 Whys or fishbone diagrams, identifying corrective actions with owners and timelines, learning from near-misses, establishing prevention strategies, or when user mentions postmortem, incident review, failure analysis, RCA, lessons learned, or after-action review.

prioritization-effort-impact

verified

Use when ranking backlogs, deciding what to do first based on effort vs impact (quick wins vs big bets), prioritizing feature roadmaps, triaging bugs or technical debt, allocating resources across initiatives, identifying low-hanging fruit, evaluating strategic options with 2x2 matrix, or when user mentions prioritization, quick wins, effort-impact matrix, high-impact low-effort, big bets, or asks "what should we do first?".

project-risk-register

verified

Use when managing project uncertainty through structured risk tracking, identifying and assessing risks with probability×impact scoring (risk matrix), assigning risk owners and mitigation plans, tracking contingencies and triggers, monitoring risk evolution over project lifecycle, or when user mentions risk register, risk assessment, risk management, risk mitigation, probability-impact matrix, or asks "what could go wrong with this project?".

reference-class-forecasting

verified

Use when starting a forecast to establish a statistical baseline (base rate) before analyzing specifics. Invoke when need to anchor predictions in historical reality, avoid "this time is different" bias, or establish outside view before inside view analysis. Use when user mentions base rates, reference classes, outside view, or starting a new prediction.

research-claim-map

verified

Use when verifying claims before decisions, fact-checking statements against sources, conducting due diligence on vendor/competitor assertions, evaluating conflicting evidence, triangulating source credibility, assessing research validity for literature reviews, investigating misinformation, rating evidence strength (primary vs secondary), identifying knowledge gaps, or when user mentions "fact-check", "verify this", "is this true", "evaluate sources", "conflicting evidence", or "due diligence".

reviews-retros-reflection

verified

Use when conducting sprint retrospectives, project post-mortems, weekly reviews, quarterly reflections, after-action reviews (AARs), team health checks, process improvement sessions, celebrating wins while learning from misses, establishing continuous improvement habits, or when user mentions "retro", "retrospective", "what went well", "lessons learned", "review meeting", "reflection", or "how can we improve".

roadmap-backcast

verified

Use when planning with fixed deadline or target outcome, working backward from future goal to present, defining milestones and dependencies, mapping critical path, identifying what must happen when, planning product launches with hard dates, multi-year strategic roadmaps, event planning, transformation initiatives, or when user mentions "backcast", "work backward from", "reverse planning", "we need to launch by", "target date is", or "what needs to happen to reach".

role-switch

verified

Use when stakeholders have conflicting priorities and need alignment, suspect decision blind spots from single perspective, need to pressure-test proposals before presenting, want empathy for different viewpoints (eng vs PM vs legal vs user), building consensus across functions, evaluating tradeoffs with multi-dimensional impact, or when user mentions "what would X think", "stakeholder alignment", "see from their perspective", "blind spots", or "conflicting interests".

scientific-clarity-checker

verified

Use when reviewing any scientific document for logical clarity, argument soundness, and scientific rigor. Invoke when user mentions check clarity, review logic, scientific soundness, hypothesis-data alignment, claims vs evidence, or needs a cross-cutting scientific logic review independent of document type.

scientific-email-polishing

verified

Use when writing or polishing professional scientific emails, journal cover letters, or responses to reviewers. Invoke when user mentions email to collaborator, cover letter to editor, reviewer response, professional correspondence, or needs help with professional tone, clear asks, or diplomatic communication in academic/scientific contexts.

scientific-manuscript-review

verified

Use when reviewing or editing research manuscripts, journal articles, reviews, or perspectives. Invoke when user mentions manuscript, paper draft, article, research writing, journal submission, reviewer feedback, or needs to improve scientific writing clarity, structure, or argumentation in their manuscript.

scout-mindset-bias-check

verified

Use to detect and remove cognitive biases from reasoning. Invoke when prediction feels emotional, stuck at 50/50, or when you want to validate forecasting process. Use when user mentions scout mindset, soldier mindset, bias check, reversal test, scope sensitivity, or cognitive distortions.

security-threat-model

verified

Use when designing or reviewing systems handling sensitive data (PII, PHI, financial, auth credentials), building features with security implications (auth, payments, file uploads, APIs), preparing for security audits or compliance (PCI, HIPAA, SOC 2), investigating security incidents, integrating third-party services, or when user mentions "threat model", "security architecture", "STRIDE", "trust boundaries", "attack surface", or "security review".

skill-creator

verified

Use when the user has a document (PDF, markdown, book notes, research paper, methodology guide) containing theoretical knowledge or frameworks and wants to convert it into an actionable, reusable skill. Invoke when the user mentions "create a skill from this document", "turn this into a skill", "extract a skill from this file", or when analyzing documents with methodologies, frameworks, processes, or systematic approaches that could be made actionable for future use.

socratic-teaching-scaffolds

verified

Use when teaching complex concepts (technical, scientific, philosophical), helping learners discover insights through guided questioning rather than direct explanation, correcting misconceptions by revealing contradictions, onboarding new team members through scaffolded learning, mentoring through problem-solving question frameworks, designing self-paced learning materials, or when user mentions "teach me", "help me understand", "explain like I'm", "learning path", "guided discovery", or "Socratic method".

stakeholders-org-design

verified

Use when designing organizational structure (team topologies, Conway's Law alignment), mapping stakeholders by power-interest for change initiatives, defining team interface contracts (APIs, SLAs, decision rights, handoffs), assessing capability maturity (DORA, CMMC, agile maturity models), planning org restructures (functional to product teams, platform teams, shared services), or when user mentions "org design", "team structure", "stakeholder map", "team interfaces", "capability maturity", "Conway's Law", or "RACI".

strategy-and-competitive-analysis

verified

Use when developing business strategy (market entry, product launch, geographic expansion, M&A, turnaround), conducting competitive analysis (profiling competitors, assessing competitive threats, Porter's 5 Forces, identifying differentiation), applying strategic frameworks (Good Strategy kernel with diagnosis/guiding policy/coherent actions, SWOT, Blue Ocean Strategy, Playing to Win where-to-play/how-to-win, Value Chain Analysis, BCG Matrix), making strategic decisions under constraints (build vs buy, pricing strategy, market positioning, business model choices), planning strategic initiatives (annual planning, OKRs, roadmaps), evaluating competitive positioning (moats, sustainable advantages, differentiation vs cost leadership), or when user mentions "strategy", "competitive analysis", "Porter's 5 Forces", "SWOT", "market positioning", "strategic planning", "competitive landscape", or "strategic frameworks".

symmetry-discovery-questionnaire

verified

Use when ML engineers need to identify symmetries in their data but don't know where to start. Invoke when user mentions data symmetry, invariance discovery, what transformations matter, or needs help recognizing patterns their model should respect. Works collaboratively through domain analysis, transformation testing, and physical constraint identification.

symmetry-group-identifier

verified

Use when you've identified candidate symmetries and need to map them to mathematical groups for architecture design. Invoke when user mentions cyclic groups, dihedral groups, Lie groups, SO(3), SE(3), permutation groups, or needs to formalize symmetries into group theory language. Provides taxonomy and mathematical foundations from Visual Group Theory principles.

symmetry-validation-suite

verified

Use when you need to empirically test whether hypothesized symmetries actually hold in your data or model. Invoke when user mentions testing invariance, validating equivariance, checking if symmetry assumptions are correct, debugging symmetry-related model failures, or needs data-driven validation before committing to equivariant architecture. Provides test protocols and metrics.

synthesis-and-analogy

verified

Use when synthesizing information from multiple sources (literature review, stakeholder feedback, research findings, data from different systems), creating or evaluating analogies for explanation or problem-solving (cross-domain transfer, "X is like Y", structural mapping), combining conflicting viewpoints into unified framework, identifying patterns across disparate sources, finding creative solutions by transferring principles from one domain to another, testing whether analogies hold (surface vs deep similarities), or when user mentions "synthesize", "combine sources", "analogy", "like", "similar to", "transfer from", "integrate findings", "what's it analogous to".

systems-thinking-leverage

verified

Use when problems involve interconnected components with feedback loops (reinforcing or balancing), delays, or emergent behavior where simple cause-effect thinking fails. Invoke when identifying leverage points for intervention (where to push for maximum effect with minimum effort), understanding why past solutions failed or had unintended consequences, analyzing system archetypes (fixes that fail, shifting the burden, tragedy of the commons, limits to growth, escalation), mapping stocks and flows (accumulations and rates of change), discovering feedback loop dynamics, finding root causes in complex adaptive systems, designing interventions that work with system structure rather than against it, or when user mentions systems thinking, leverage points, feedback loops, unintended consequences, system dynamics, causal loop diagrams, or complex systems. Apply to organizational systems (employee engagement, scaling challenges, productivity decline), product/technical systems (technical debt accumulation, performance degradation, adoption barriers), social systems (polarization, misinformation spread, community issues), environmental systems (climate, resource depletion, pollution), personal systems (habit formation, burnout, skill development), and anywhere simple linear interventions repeatedly fail while systemic patterns persist.

translation-reframing-audience-shift

verified

Use when content must be translated between audiences with different expertise, context, or goals while preserving accuracy but adapting presentation. Invoke when technical content needs business framing (engineering decisions → executive summary), strategic vision needs tactical translation (board presentation → team OKRs), expert knowledge needs simplification (academic paper → blog post, medical diagnosis → patient explanation), formal content needs casual tone (annual report → social media post), long-form needs summarization (50-page doc → 1-page brief), internal content needs external framing (roadmap → public updates, bug tracking → known issues), cross-cultural adaptation (US idioms → international clarity, Gen Z → Boomer messaging), medium shifts (written report → presentation script, detailed spec → action checklist), or when user mentions "explain to", "reframe for", "translate this for [audience]", "make this more [accessible/formal/technical]", "adapt for [executives/engineers/customers]", "simplify without losing accuracy", or "same content, different audience". Apply to technical communication (code → business value), organizational translation (strategy → execution), education (expert → novice), customer communication (internal → external), cross-cultural messaging, and anywhere same core message needs different presentation for different stakeholders while maintaining correctness.

visualization-choice-reporting

verified

Use when you need to choose the right visualization for your data and question, then create a narrated report that highlights insights and recommends actions. Invoke when analyzing data for patterns (trends, comparisons, distributions, relationships, compositions), building dashboards or reports, presenting metrics to stakeholders, monitoring KPIs, exploring datasets for insights, communicating findings from analysis, or when user mentions "visualize this", "what chart should I use", "create a dashboard", "analyze this data", "show trends", "compare these metrics", "report on", "what does this data tell us", or needs to turn data into actionable insights. Apply to business analytics (revenue, growth, churn, funnel, cohort, segmentation), product metrics (usage, adoption, retention, feature performance, A/B tests), marketing analytics (campaign ROI, attribution, funnel, customer acquisition), financial reporting (P&L, budget, forecast, variance), operational metrics (uptime, performance, capacity, SLA), sales analytics (pipeline, forecast, territory, quota attainment), HR metrics (headcount, turnover, engagement, DEI), and any scenario where data needs to become a clear, actionable story with the right visual form.