Results for “physics”

Solve quantitative problems in biophysics — pharmacokinetics (PK volume of distribution, clearance, half-life), epidemiology (R0, attack rate), toxicology (LD50, NOAEL), population genetics (Hardy-Weinberg, Fst), enzyme kinetics (Michaelis-Menten), thermodynamics. Use for first-principles quantitative biology calculations, dose calculations, exposure assessment, and biophysical-property estimation.

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Solve ordinary differential equations (initial and boundary value problems). Supports stiff/non-stiff systems, event detection, Hamiltonian/symplectic integration, parameter sweeps, and phase space analysis. Use for any ODE system in physics, engineering, or applied math.

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Solve partial differential equations — finite differences, spectral methods, and physics-informed neural networks (PINNs via DeepXDE). Supports 1D/2D/3D, steady/transient, linear/nonlinear PDEs with Dirichlet, Neumann, and periodic boundary conditions.

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Automated dimensional analysis — Buckingham Pi theorem, non-dimensionalization, unit validation with pint, and characteristic scale estimation. Use before any physics computation to verify consistency and reduce parameter space.

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Query physics databases — NIST CODATA constants, NIST Chemistry WebBook, Materials Project, Particle Data Group (PDG), OEIS sequences. Always use these instead of hardcoding physical constants.

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Directly drives a specific vehicle on a running CARLA server — raw VehicleControl (throttle/steer/brake/reverse/hand-brake), Ackermann speed control, vehicle lights, opening/closing doors, and physics-control tuning; ros-info reports the native ROS 2 command topics (vehicle_control_cmd, ackermann_control_cmd) for the hero. Targets the ego by default. Use when the user asks to "drive/steer the car", "accelerate/brake/reverse", "set a target speed", "turn on the headlights/blinkers/brake lights", "open a door", "drive the car from ROS", or "change the vehicle's mass/drag/physics". This is manual control (autopilot off) — for TM-driven traffic use control-traffic.

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Design performant animation systems with Framer Motion, GSAP, View Transitions API, and spring physics. Activate on: page transitions, micro-interactions, scroll animations, layout animations, spring physics. NOT for: CSS-only hover effects (use css-in-js-architect), video/canvas rendering (use creative-coding-expert).

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Generate flat, minimal light/dark-aware SVG diagrams as standalone HTML files, using a unified educational visual language with 9 semantic color ramps, sentence-case typography, and automatic dark mode. Best suited for educational and non-software visuals — physics setups, chemistry mechanisms, math curves, physical objects (aircraft, turbines, smartphones, mechanical watches), anatomy, floor plans, cross-sections, narrative journeys (lifecycle of X, process of Y), hub-spoke system integrations (smart city, IoT), and exploded layer views. If a more specialized skill exists for the subject (dedicated software/cloud architecture, hand-drawn sketches, animated explainers, etc.), prefer that — otherwise this skill can also serve as a general-purpose SVG diagram fallback with a clean educational look. Ships with 15 example diagrams.

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Build web animations with GSAP plugins for text, SVG graphics, dragging, scrolling, and layout changes. It guides plugin selection, registration, configuration, and cleanup, with examples for implementing effects and reviewing existing animation code.

• Animating headings one character or line at a time
• Adding SVG drawing and shape transitions
• Building drag interactions with momentum

Implement web animations with GSAP plugins, including animated layout changes, draggable elements, text effects, and SVG drawing or shape transitions. The skill explains plugin registration, configuration, cleanup, and development tools for inspecting animation timelines.

• Animating grid or list layout changes
• Adding draggable cards with momentum
• Revealing headings one character at a time

Use SymPy to simplify expressions, solve equations, and calculate derivatives, integrals, and matrices with exact symbolic results. Specify assumptions, verify solutions, and turn mathematical expressions into numerical functions, source code, or LaTeX output.

• Solving equations and checking their solutions
• Calculating symbolic derivatives, integrals, and limits
• Finding matrix eigenvalues with exact arithmetic

Find scientific datasets, AI models, methodology posts, and interactive demos through the Hugging Science catalog. Compare candidates for a research task and verify their licenses, input formats, access requirements, and supported ways to run them.

• Finding models for protein or genome analysis
• Selecting datasets for scientific machine learning
• Comparing resource licenses and runtime requirements

Prepare and run molecular dynamics simulations with OpenMM, then analyze molecular motion with MDAnalysis. Examine protein flexibility, structural changes, and protein–ligand contacts through calculations and plots of simulated trajectories.

• Investigating protein stability after a mutation
• Measuring structural changes and flexibility
• Tracking protein–ligand contacts

Implement and debug astronomical data analysis with Astropy in Python. Work with physical units, celestial coordinates, observation files, tables, precise time conversions, and cosmological models to prepare data and calculate astronomical quantities.

• Convert celestial coordinates and physical units
• Read and edit FITS observation files
• Match objects across astronomical catalogs

Build and simulate quantum circuits in Python with Cirq. Compare noise effects, test parameter values, transform circuits for hardware constraints, and prepare experiments for Google Quantum AI or supported providers when the required access is available.

• Building and simulating quantum circuits
• Comparing measurement results at different noise levels
• Testing circuits across a range of parameter values

Build browser games and game engines with HTML5, Canvas, WebGL, and JavaScript. Starter templates and reference guides support 2D and 3D graphics, controls, collision detection, audio, multiplayer features, performance improvements, and publishing.

• Build a breakout, maze, or platform game
• Add movement, gravity, and collision detection
• Support touch input and game controllers

Design monitoring for industrial attacks that alter controller programs while hiding changes with false sensor readings. Compare PLC program blocks against known-good copies and check physical measurements against process models to identify suspicious inconsistencies.

• Monitoring industrial controller programs for unauthorized changes
• Investigating discrepancies between sensor readings and equipment behavior
• Planning detection across IT and industrial control systems

Build normal traffic profiles for industrial control networks and identify unusual connections, polling intervals, and protocol operations. Use machine learning and process records to investigate deviations and produce anomaly reports with severity levels.

• Establishing normal traffic profiles for industrial networks
• Detecting unusual connections and polling intervals
• Investigating Nozomi Guardian or Dragos alerts

Document a technical decision in an architecture decision record, or ADR. Capture its context, alternatives, and consequences, assign a record number, and distinguish a proposed decision from an accepted one so dependent work reflects its actual status.

• Recording the reasons behind a technical choice
• Documenting alternatives and consequences of a design decision
• Creating numbered records alongside existing architecture decisions

Create, edit, and validate SDFormat files that describe robots and simulation worlds. Check coordinate frames, joints, geometry, and physical properties, review models in CAD Viewer, and report assumptions and compatibility risks before simulator handoff.

• Create reusable robot models or simulation worlds
• Review coordinate frames, joint axes, and inertial properties
• Validate SDF files and inspect models in CAD Viewer

Build and review GSAP effects for text, SVG graphics, scrolling, dragging, and layout changes. The skill explains which plugins, or extensions, fit each task, how to register them, and how to configure and clean them up.

• Animating headings character by character
• Drawing or morphing SVG graphics
• Adding draggable cards with momentum

Import an FBX character into a CARLA source build as a pedestrian available through the Python API. Check its GEN3 skeleton, create assets and a walker blueprint, register it, and verify spawning, ground placement, and movement.

• Add a custom FBX character as a CARLA pedestrian
• Check whether an FBX uses the required GEN3 skeleton
• Investigate floating or motionless imported pedestrians

Adjust how autopilot vehicles behave in CARLA, including speed, following distance, traffic light responses, and lane changes. Apply settings across traffic or to individual vehicles, and configure seeds and synchronization for repeatable traffic runs.

• Adjust traffic speed and following distance
• Create traffic that ignores lights or other vehicles
• Change lane behavior for an individual autopilot vehicle

Enhance existing interfaces with ambitious browser techniques, from scroll-linked animation and natural motion to smooth large-data displays. Compare implementation directions, build the selected approach, and refine it through browser previews, performance checks, and accessible fallbacks.

• Adding scroll-linked effects to landing pages
• Creating fluid transitions between buttons and dialogs
• Keeping large tables and search results responsive