{
  "cells": [
    {
      "cell_type": "markdown",
      "id": "intro-title",
      "metadata": {},
      "source": [
        "# MATLAB syntax, entirely in your browser\n",
        "\n",
        "This notebook runs on the **numbl kernel for JupyterLite**. Every cell executes\n",
        "in a Web Worker in *your* browser tab — there is no server and no kernel\n",
        "process behind this page, and nothing to install.\n",
        "\n",
        "The engine is [numbl](https://github.com/flatironinstitute/numbl), an\n",
        "open-source MATLAB-syntax language implementation in TypeScript.\n",
        "\n",
        "Run the cells below with **Shift+Enter**."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "intro-matrix",
      "metadata": {},
      "outputs": [],
      "source": [
        "A = [4 2 1; 2 5 3; 1 3 6]"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "intro-solve",
      "metadata": {},
      "outputs": [],
      "source": [
        "% Variables persist across cells; solve a linear system with backslash\n",
        "b = [1; 2; 3];\n",
        "x = A \\ b\n",
        "residual = norm(A*x - b)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "intro-indexing",
      "metadata": {},
      "outputs": [],
      "source": [
        "% MATLAB indexing: rows, and logical masks\n",
        "A(2, :)\n",
        "A(A > 3)'"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "intro-loop",
      "metadata": {},
      "outputs": [],
      "source": [
        "total = 0;\n",
        "for k = 1:10\n",
        "    total = total + k^2;\n",
        "end\n",
        "fprintf('sum of squares 1..10 = %d\\n', total);"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "intro-anon",
      "metadata": {},
      "outputs": [],
      "source": [
        "% Anonymous functions work in cells (named functions belong in .m files)\n",
        "f = @(t) exp(-t) .* cos(2*pi*t);\n",
        "vals = arrayfun(f, 0:0.5:2)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "intro-next",
      "metadata": {},
      "source": [
        "Next: [plotting](./02-plotting.ipynb) and\n",
        "[installing packages](./03-packages.ipynb) — both also fully client-side."
      ]
    }
  ],
  "metadata": {
    "kernelspec": {
      "display_name": "MATLAB (numbl)",
      "language": "matlab",
      "name": "numbl"
    },
    "language_info": {
      "codemirror_mode": "octave",
      "file_extension": ".m",
      "mimetype": "text/x-octave",
      "name": "matlab",
      "pygments_lexer": "matlab"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 5
}