Math & Physical Sciences

Check recent USGS earthquakes by magnitude, depth and nuclear test site proximity

Query NASA open data and space APIs through the Composio Rube MCP server

Pull Stormglass marine and weather forecast data through Composio Rube MCP

Automate Weathermap tasks through the Composio Rube MCP server

Query Wolfram Alpha for math, science and data answers through Composio Rube MCP

Write astronomy code with Astropy units, coordinates, FITS I/O, tables and WCS

Simulate ignition delay and homogeneous chemical reactors with Cantera mechanisms

Design noise-aware quantum circuits for Google Quantum AI hardware with Cirq

Plan, run and check FluidSim fluid simulations for solver setup, output and restarts

Process satellite imagery, vector and raster GIS data and run spatial statistics

Solve seawater carbonate chemistry from alkalinity, carbon and pH with PyCO2SYS

Clean, compare and match tandem mass spectra by spectral similarity

Process raw 1D NMR free induction decays into phased, baseline-corrected spectra

Extract flow velocity fields from PIV image pairs and clean up bad vectors

Build PennyLane quantum circuits, hybrid PyTorch or JAX models and VQE workflows

Simulate lithium-ion battery cycling with PyBaMM and compare to measured voltage data

Compute alloy phase equilibria and phase fractions from TDB files with pycalphad

Analyze and convert crystal structures and materials data with pymatgen

Build, simulate and run quantum circuits on IBM hardware with Qiskit 2.x

Simulate closed and open quantum systems with QuTiP 5 dynamics and steady states

Build and analyze discrete-event process simulations in Python with SimPy

Solve algebra, calculus and symbolic equations exactly with SymPy in Python

Track physical units and propagate measurement uncertainty with pint and uncertainties

Solve olympiad math problems and check proofs with adversarial verification

Attack one hard math problem in rounds with a judge and parallel workers

Solve one hard math problem step by step and write a self-contained proof

Build, simulate and optimize quantum circuits and run them on hardware with Cirq

Train quantum circuits with autodiff and PyTorch or JAX across simulators and hardware

Build and run quantum circuits and algorithms such as VQE, QAOA and Grover with Qiskit

Develop and test hard-to-vary causal theories for unexplained phenomena

Build and verify a Lean proof of a math theorem and audit it against the statement

Find and fix gaps in a LaTeX math proof through repeated cross-model review

Manage multi-run math proof projects with handoff packages and source bookkeeping

Write rigorous proofs of theorems and lemmas for ML and AI theory

Analyze molecules with RDKit for descriptors, fingerprints and substructure search

Write Qiskit variational quantum classifiers, VQE circuits and noise models

Check current Han River water levels and flow by gauge station name or code

Write and review structured Lean 4 proofs that follow Mathlib conventions

Look up PubChem compound properties, descriptions and bioassay summaries

Start a full math modeling contest pipeline with a plan, todo list and stage gates

Break a math modeling problem into sub-questions, assumptions, variables and equations

Write reproducible modeling code, solve it and plot paper-ready figures

Work with astronomical data, FITS files, coordinates and cosmology in Python

Write MATLAB and Octave scripts for linear algebra, signal processing and plots

Work with crystal structures, phase diagrams and band data using pymatgen

Simulate open quantum systems, master equations and Lindblad decoherence in Python

Run MATLAB, Python and signal processing workflows for scientific computing

Model queues, resources and processes with discrete-event simulation in SimPy

Solve equations, calculus and matrix problems symbolically with SymPy