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Concept Collection#

Small, self-contained projects: interactive demos, teaching companions, and research code. Many run entirely in your browser with no install, built around numbl (MATLAB in the browser), scientific-data tooling, and mathematical visualization.

Each entry links to its source repository and, where available, a live page.

Run-in-browser MATLAB (numbl)#

MATLAB-syntax projects that execute in the browser via numbl. Pick a script, click Run, edit freely.

  • numbl-quantum-optics (live). Companion to the article "Quantum optics in MATLAB" (arXiv:2309.14354): quantum states, operators, and dynamics as runnable scripts.
  • numbl-open-quantum-systems (live). Companion to "Coding closed and open quantum systems in MATLAB" (arXiv:1911.04906): Ising dynamics, cavity-QED phase transitions, Lindblad and non-Markovian dynamics.
  • numbl-distmesh (live). Interactive companion to Persson and Strang's DistMesh: every README example, meshing 2-D regions and surfaces from signed distance functions.
  • numbl-surfacefun-intro (live). An introduction to surfacefun: computing with functions on surfaces and solving PDEs on them, to high order.
  • surfacefun-interactive (live). Interactive surfacefun demos with live sliders (React and three.js driving a numbl script): refine a cubed-sphere mesh, scale a tangent vector field.
  • numbl-chunkie (live). Examples for chunkie: boundary integral equations in 2-D — building chunker geometries and solving Laplace, Helmholtz, and Stokes problems.
  • numbl-image-filter (live). A web app that filters an image with a numbl/MATLAB script entirely in the browser; upload your own image and write the filter.
  • numbl-project-example (live). A minimal numbl project deployed to GitHub Pages; a starter template.
  • numbl-embed-example (live). How to embed editable, runnable numbl scripts inside Markdown rendered on GitHub Pages.

Data compression#

Neurophysiology data and remote access#

Mathematical visualizers#

  • finite-field-visualizer (live). Color-coded multiplication tables over finite (prime) fields; step through primes to see the structure change.
  • gcd-visualizer (live). A color-coded GCD table: the greatest common divisor of every pair (i, j) shown as a heatmap.
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