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Claude Skills by jeffreytse
github.com/jeffreytse1,315 skills19 installs2,185 views
- Apply Bayesian ReasoningUse when updating beliefs from evidence, estimating probabilities under uncertainty, or making decisions where prior knowledge and new data must be combinedVotes: 0GitHub stars: 4
- Apply Conic Section PropertiesUse when a curve is a circle, ellipse, parabola, or hyperbola — classifying a general second-degree equation into standard form and applying its focus, directrix, and eccentricity properties to a physical problem, such as orbital mechanics, parabolic reflector/antenna design, or optical mirror focusing.Votes: 0GitHub stars: 4
- Apply Differential EquationsUse when modeling or solving differential equations — classifying ODE/PDE type, selecting analytical or numerical solution methods, validating solutions, and interpreting the physical or mathematical meaning of the result.Votes: 0GitHub stars: 4
- Apply Graph Theory AnalysisUse when analyzing networks, relationships, or connectivity problems using graph theory — including graph representation, traversal algorithms, shortest path, minimum spanning tree, centrality measures, and community detection.Votes: 0GitHub stars: 4
- Apply Ladder Of CausationUse when deciding what kind of evidence a question actually requires — before running an experiment, trusting an observational correlation, or reasoning about "what would have happened if" — by classifying the question as associational (what is?), interventional (what if I do X?), or counterfactual (what if I had done X instead?), since each rung requires a different type of evidence or model and no amount of data at a lower rung can answer a question posed at a higher one.Votes: 0GitHub stars: 4
- Apply Linear Algebra MethodsUse when solving systems of linear equations, decomposing matrices, analyzing transformations, or working with eigenvalues and eigenvectors in applied mathematics, data science, physics, or engineering contexts.Votes: 0GitHub stars: 4
- Apply Small Sample SkepticismUse when drawing a conclusion, trend, or explanation from a small number of observations — a short streak, a handful of test results, a few data points on a dashboard — before treating the pattern as reliable, because small samples produce extreme, memorable-looking results by chance far more often than intuition expects, and apparent reversion afterward is a statistical artifact, not a new causal effect.Votes: 0GitHub stars: 4
- Calculate Confidence IntervalUse when reporting statistical estimates that require quantified uncertainty bounds for scientific, clinical, or policy decision-makingVotes: 0GitHub stars: 4
- Calculate Probability DistributionUse when working with probability distributions — identifying the correct distribution for a phenomenon, computing probabilities and quantiles, fitting distributions to data, and checking distributional assumptions statistically.Votes: 0GitHub stars: 4
- Design Numerical SimulationUse when designing a numerical simulation — including Monte Carlo, finite difference, finite element, or agent-based models — specifying convergence criteria, uncertainty quantification, validation strategy, and computational resource requirements.Votes: 0GitHub stars: 4
- Design Optimization ProblemUse when formulating and solving an optimization problem — defining the objective function, constraints, variable types, and selecting an appropriate solver for linear, nonlinear, integer, or stochastic programming.Votes: 0GitHub stars: 4
- Design Proof StrategyUse when selecting an approach for constructing a mathematical proof or verifying a conjectureVotes: 0GitHub stars: 4
- Apply Conservation LawsUse when solving mechanics, fluid dynamics, or electromagnetism problems by applying conservation of energy, momentum, angular momentum, or charge — identifying the system boundary, the conserved quantity, and the conditions under which conservation applies.Votes: 0GitHub stars: 4
- Apply Dimensional AnalysisUse when deriving relationships between physical quantities, checking equations for consistency, or scaling physical models to different sizes or conditionsVotes: 0GitHub stars: 4
- Apply Maxwells EquationsUse when solving electromagnetic field problems — the field of a charge distribution, the field of a current-carrying conductor, induced EMF from changing flux, or displacement current in a capacitor — by matching the problem's symmetry to the correct form of Gauss's law, Faraday's law, or the Ampère-Maxwell law, rather than attempting a direct force calculation on every source charge or current element.Votes: 0GitHub stars: 4
- Calculate Error PropagationUse when calculating how measurement uncertainties propagate through mathematical operations — computing combined uncertainty for sums, products, powers, and general functions using partial derivative methods or Monte Carlo propagation.Votes: 0GitHub stars: 4
- Calculate Measurement UncertaintyUse when reporting physical measurements that require quantified uncertainty estimates for scientific or metrological purposesVotes: 0GitHub stars: 4
- Calculate Thermodynamic EfficiencyUse when analyzing the thermodynamic efficiency of heat engines, refrigerators, power cycles, or chemical processes — applying the first and second laws of thermodynamics, Carnot efficiency, entropy analysis, and exergy to identify losses and optimization targets.Votes: 0GitHub stars: 4
- Design Circuit ExperimentUse when designing an experimental circuit — applying Ohm's law, Kirchhoff's laws, Thevenin/Norton equivalents, and RC/RL/RLC transient analysis to select components, calculate expected behavior, and plan measurements safely.Votes: 0GitHub stars: 4
- Design Controlled ExperimentUse when planning a physics experiment that requires controlling variables to isolate causal relationships between physical quantitiesVotes: 0GitHub stars: 4
- Design Experiment ProtocolUse when designing a physics experiment or laboratory investigation requiring control of variables and uncertainty quantificationVotes: 0GitHub stars: 4
- Design Optical SystemUse when designing an optical system — including lenses, mirrors, apertures, and detectors — applying geometric optics (ray tracing), the thin lens equation, aberration analysis, and diffraction limits to achieve target imaging performance.Votes: 0GitHub stars: 4
- Apply Growth Mindset CoachingUse when a coach wants to build a team or individual athlete culture that treats setbacks as learning opportunities, effort as controllable, and improvement as the primary measure of success — to prevent fixed-mindset responses to failure and adversity.Votes: 0GitHub stars: 4
- Apply Motivational InterviewingUse when a coach needs to have a conversation with an athlete who is resistant to change, low on motivation, or ambivalent about committing to a training or behavioral goal — to build intrinsic motivation rather than imposing external direction.Votes: 0GitHub stars: 4
- Apply Pre Performance RoutineUse when an athlete or coach needs to build a reliable, repeatable preparation sequence that consistently produces optimal arousal and focus before competition or high-stakes performanceVotes: 0GitHub stars: 4
- Design Athlete Development PathwayUse when a coach, club, or national federation needs to structure a long-term plan for developing athletes from youth through elite levels — matching training content, competition volume, and specialization timing to each developmental stage.Votes: 0GitHub stars: 4
- Design Competition Preparation PlanUse when a coach needs to structure the days and weeks leading into a major competition — covering the taper, logistics, mental preparation, and pre-competition routine to ensure athletes arrive physically fresh, tactically confident, and mentally ready.Votes: 0GitHub stars: 4
- Design Feedback Delivery SystemUse when a coach needs to build a consistent approach to giving athletes skill-improvement feedback — covering timing, specificity, frequency, and ratio of positive-to-corrective messages to accelerate learning without damaging confidence.Votes: 0GitHub stars: 4
- Design Team Cohesion ProgramUse when a coach or team leader needs to build or repair team unity, trust, and collective identity to improve both performance and athlete satisfactionVotes: 0GitHub stars: 4
- Run Performance ReviewUse when a coach needs to systematically evaluate an athlete's performance, provide structured feedback, and set goals for the next training phaseVotes: 0GitHub stars: 4
- Run Team Training SessionUse when a coach needs to structure and deliver an effective group training session — planning objectives, time allocation, transitions, and coaching interventions to maximize athlete development and engagement within a fixed time window.Votes: 0GitHub stars: 4
- Run Video Analysis SessionUse when a coach needs to use recorded footage to identify tactical patterns, technical errors, or opponent tendencies and translate them into actionable coaching pointsVotes: 0GitHub stars: 4
- Apply Hydration ProtocolUse when an athlete needs a hydration strategy for training or competition — to prevent dehydration-induced performance decline, avoid overhydration risk, and maintain electrolyte balance across varying sweat rates and environmental conditions.Votes: 0GitHub stars: 4
- Apply Supplementation ProtocolUse when an athlete is considering adding dietary supplements — to identify those with strong performance evidence, evaluate risk of contamination or banned substance presence, and avoid wasting money on ineffective or harmful products.Votes: 0GitHub stars: 4
- Calculate Athlete Macronutrient TargetsUse when an athlete or sports dietitian needs to calculate individualized daily protein, carbohydrate, and fat targets to support their sport demands, body composition goals, and training phase.Votes: 0GitHub stars: 4
- Design Pre Competition NutritionUse when an athlete needs a nutrition plan for the 24-48 hours and the final hours before a competition — to maximize glycogen stores, avoid GI distress, and arrive at the start line fueled and comfortable.Votes: 0GitHub stars: 4
- Design Recovery Nutrition ProtocolUse when an athlete needs to optimize post-exercise nutrition to accelerate glycogen resynthesis, stimulate muscle protein synthesis, and restore fluid and electrolyte balance — particularly when recovery between sessions is <24 hours.Votes: 0GitHub stars: 4
- Design Sports Nutrition PeriodizationUse when an athlete or sports dietitian needs to align nutritional intake with training phases, competition schedule, and recovery demands to maximize performance and body composition outcomesVotes: 0GitHub stars: 4
- Design Weight Cut ProtocolUse when an athlete in a weight-class sport (wrestling, boxing, MMA, rowing, judo, weightlifting) needs a structured plan to reach competition weight safely, with the most effective rehydration and refueling strategy to restore performance before competing.Votes: 0GitHub stars: 4
- Apply Heat Cold Therapy ProtocolUse when an athlete needs to accelerate post-training recovery using evidence-based heat, cold, or contrast therapy protocolsVotes: 0GitHub stars: 4
- Apply Sleep Optimization ProtocolUse when an athlete needs to improve sleep quality and duration to accelerate recovery, enhance cognitive performance, and reduce injury risk — including strategies for sleep extension, jet lag, pre-competition insomnia, and travel disruption.Votes: 0GitHub stars: 4
- Apply Soft Tissue TherapyUse when an athlete wants to use foam rolling, massage, or myofascial release techniques to reduce post-exercise muscle soreness, improve ROM, or prepare tissue for training — with appropriate technique and timing for each method.Votes: 0GitHub stars: 4
- Calculate Recovery ReadinessUse when a coach or athlete needs to objectively measure an athlete's recovery status before a training session — to decide whether to train as planned, reduce load, or rest based on physiological and subjective readiness indicators.Votes: 0GitHub stars: 4
- Design Active Recovery ProtocolUse when an athlete needs a structured low-intensity recovery session between hard training blocks to accelerate adaptation without adding fatigueVotes: 0GitHub stars: 4
- Design Injury Prevention ProgramUse when a coach, strength trainer, or sports medicine professional needs to implement a structured warm-up and movement program that reduces injury incidence in athletesVotes: 0GitHub stars: 4
- Design Psychological Recovery ProtocolUse when an athlete needs strategies to mentally recover from a poor performance, competitive setback, significant loss, or period of burnout — to prevent rumination from compounding into ongoing performance anxiety or identity crisis.Votes: 0GitHub stars: 4
- Design Return To Play ProtocolUse when an athlete is recovering from an injury and needs a structured, criteria-based progression back to full training and competition — to minimize reinjury risk without unnecessarily prolonging absence.Votes: 0GitHub stars: 4
- Design Tapering ProtocolUse when an endurance or strength athlete needs to peak for a major competition — reducing training volume systematically over 1-3 weeks to dissipate fatigue while preserving the fitness built during the training block.Votes: 0GitHub stars: 4
- Design Travel Recovery ProtocolUse when athletes need to travel across time zones or endure long travel days for competition — to minimize jet lag, manage sleep disruption, and arrive physically and mentally prepared to perform.Votes: 0GitHub stars: 4
- Apply In Game AdjustmentUse when a coach needs to make tactical, personnel, or strategic adjustments during a competition — at halftime, between periods, or during play stoppages — to respond to what the opponent or the game is revealing.Votes: 0GitHub stars: 4