var DATA = {
  examples: [{
    name: "Some Limit",
    text: [
      "\\lim_{x \\to \\infty}{\\frac{1}{x^2}}",
    ],
  }, {
    name: "Quadratic Formula",
    text: [
      "\\text{Quadratic Formula} \\\\",
      "x = \\frac{-b \\pm \\sqrt{b^2 - 4ac}}{2a}",
    ],
  }, {
    name: "Cross Product",
    text: [
      "\\text{Cross Product via Matrix Determinant} \\\\",
      "",
      "\\begin{align*}",
      "    \\vec{a} \\times \\vec{b} & = \\begin{vmatrix}",
      "        \\hat{i} & \\hat{j} & \\hat{k} \\\\",
      "        \\vec{a}_x & \\vec{a}_y & \\vec{a}_z \\\\",
      "        \\vec{b}_x & \\vec{b}_y & \\vec{b}_z ",
      "    \\end{vmatrix} \\\\",
      "    ",
      "    & = ",
      "    \\begin{vmatrix}",
      "        \\vec{a}_y & \\vec{a}_z \\\\",
      "        \\vec{b}_y & \\vec{b}_z",
      "    \\end{vmatrix} \\hat{i} - ",
      "    ",
      "    \\begin{vmatrix}",
      "        \\vec{a}_x & \\vec{a}_z \\\\",
      "        \\vec{b}_x & \\vec{b}_z",
      "    \\end{vmatrix} \\hat{j} +",
      "    ",
      "    \\begin{vmatrix}",
      "        \\vec{a}_x & \\vec{a}_y \\\\",
      "        \\vec{b}_x & \\vec{b}_y",
      "    \\end{vmatrix} \\hat{k} \\\\",
      "    ",
      "    & = ",
      "    (\\vec{a}_y\\vec{b}_z - \\vec{a}_z\\vec{b}_y)\\hat{i} -",
      "    (\\vec{a}_x\\vec{b}_z - \\vec{a}_z\\vec{b}_x)\\hat{j} +",
      "    (\\vec{a}_x\\vec{b}_y - \\vec{a}_x\\vec{b}_y)\\hat{k} \\\\",
      "    ",
      "    & =",
      "    \\langle",
      "        \\vec{a}_y\\vec{b}_z - \\vec{a}_z\\vec{b}_y\\text{, } ",
      "        \\vec{a}_x\\vec{b}_z - \\vec{a}_z\\vec{b}_x\\text{, } ",
      "        \\vec{a}_x\\vec{b}_y - \\vec{a}_y\\vec{b}_z",
      "    \\rangle \\\\",
      "    ",
      "    \\vec{a} & = \\langle2, 1, -1\\rangle \\\\",
      "    \\vec{b} & = \\langle-3, 4, 1\\rangle \\\\",
      "    \\vec{a} \\times \\vec{b} & = \\langle",
      "        (1)(1) - (-1)(4),",
      "        (2)(1) - (-1)(-3),",
      "        (2)(4) - (1)(-3)",
      "    \\rangle \\\\",
      "    ",
      "    & = \\langle",
      "        5, 5, 11",
      "    \\rangle \\\\",
      "    \\vec{b} \\times \\vec{a} & = \\langle",
      "        (4)(-1) - (1)(1),",
      "        (-3)(-1) - (1)(2),",
      "        (-3)(1) - (4)(2)",
      "    \\rangle \\\\",
      "    & = \\langle",
      "        -5, -5, -11",
      "    \\rangle",
      "\\end{align*}",
    ],
  }, {
    name: "Derivative Rules",
    text: [
      "\\text{Derivative Rules} \\\\",
      "",
      "\\begin{align*}",
      "% sum/difference rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "f(x) \\pm g(x) &=",
      "\\frac{\\text{d}}{\\text{d}x} \\, f(x) \\pm",
      "\\frac{\\text{d}}{\\text{d}x} \\, g(x) &",
      "\\text{Sum/Difference Rule} \\\\",
      "",
      "% constant factor rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "k f(x) &=",
      "k \\frac{\\text{d}}{\\text{d}x} \\, f(x) &",
      "\\text{Constant Factor Rule} \\\\",
      "",
      "% constant rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "k &=",
      "0 &",
      "\\text{Constant Rule} \\\\",
      "",
      "% power rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "x^n &=",
      "nx^{n-1} &",
      "\\text{Power Rule} \\\\",
      "",
      "% exponent rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "b^x &=",
      "b^xln(b) &",
      "\\text{Exponent Rule} \\\\",
      "",
      "% chain rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "f(g(x)) &=",
      "% (f \\cdot g)(x) &=",
      "f'(g(x))g'(x) &",
      "\\text{Chain Rule} \\\\",
      "",
      "% product rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "f(x)g(x) &=",
      "f'(x)g(x) + f(x)g'(x) &",
      "\\text{Product Rule} \\\\",
      "",
      "% quotient rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "\\frac{f(x)}{g(x)} &=",
      "\\frac{f'(x)g(x) - f(x)g'(x)}{g(x)^2} &",
      "\\text{Quotient Rule} \\\\",
      "",
      "% logarithm rule",
      "\\frac{\\text{d}}{\\text{d}x} \\,",
      "log_b{x} &=",
      "\\frac{1}{x ln(b)} &",
      "\\text{Logarithm Rule} \\\\",
      "",
      "\\end{align*}",
    ],
  }, {
    name: "Cubic Formula",
    text: [
      "% https://math.vanderbilt.edu/schectex/courses/cubic/",
      "\\text{The Cubic Formula} \\\\",
      "\\begin{align*}",
      "% first term",
      "x &= \\sqrt[3]{",
      "  % first term, first subterm",
      "  \\left (",
      "    \\frac{-b^3}{27a^3} +",
      "    \\frac{bc}{6a^2} -",
      "    \\frac{d}{2a}",
      "  \\right )",
      "",
      "  +",
      "",
      "  \\sqrt{",
      "    % first term, second subterm",
      "    \\left (",
      "      \\frac{-b^3}{27a^3} +",
      "      \\frac{bc}{6a^2} -",
      "      \\frac{d}{2a}",
      "    \\right )^2",
      "",
      "    +",
      "",
      "    % first term, third subterm",
      "    \\left (",
      "      \\frac{c}{3a} -",
      "      \\frac{b^2}{9a^2}",
      "    \\right )^3",
      "  }",
      "} \\\\",
      "",
      "&+",
      "",
      "% second term",
      "\\sqrt[3]{",
      "  % first term, second subterm",
      "  \\left (",
      "    \\frac{-b^3}{27a^3} +",
      "    \\frac{bc}{6a^2} -",
      "    \\frac{d}{2a}",
      "  \\right )",
      "",
      "  -",
      "",
      "  \\sqrt{",
      "    % second term, second subterm",
      "    \\left (",
      "      \\frac{-b^3}{27a^3} +",
      "      \\frac{bc}{6a^2} -",
      "      \\frac{d}{2a}",
      "    \\right )^2",
      "",
      "    +",
      "",
      "    % second term, third subterm",
      "    \\left (",
      "      \\frac{c}{3a} -",
      "      \\frac{b^2}{9a^2}",
      "    \\right )^3",
      "  }",
      "} \\\\",
      "",
      "&-",
      "",
      "% third part",
      "\\frac{b}{3a}",
      "\\end{align*}",
    ],
  }, {
    name: "Linear Regression",
    text: [
      "\\text{Linear Regression} \\\\",
      "",
      "\\begin{align*}",
      "  m &= \\frac{",
      "    \\sum(x_i - \\bar{x})(y_i - \\bar{y}	)",
      "  }{",
      "    \\sum(x_i - \\bar{x})^2",
      "  } \\\\",
      "",
      "  b &= \\bar{y} - m\\bar{x} \\\\",
      "",
      "  y &= mx + b",
      "\\end{align*}",
    ],
  }],

  themes: [
    "ambiance",
    "chaos",
    "chrome",
    "clouds",
    "clouds_midnight",
    "cobalt",
    "crimson_editor",
    "dawn",
    "dracula",
    "dreamweaver",
    "eclipse",
    "github",
    "gob",
    "gruvbox",
    "idle_fingers",
    "iplastic",
    "katzenmilch",
    "kr_theme",
    "kuroir",
    "merbivore",
    "merbivore_soft",
    "mono_industrial",
    "monokai",
    "pastel_on_dark",
    "solarized_dark",
    "solarized_light",
    "sqlserver",
    "terminal",
    "textmate",
    "tomorrow",
    "tomorrow_night_blue",
    "tomorrow_night_bright",
    "tomorrow_night_eighties",
    "tomorrow_night",
    "twilight",
    "vibrant_ink",
    "xcode",
  ],
};