render cleanup, move examples to data

1 files changed, 268 insertions, 0 deletions

diff --git a/htdocs/js/data.js b/htdocs/js/data.js
new file mode 100644
index 0000000..f17f364
--- /dev/null
+++ b/htdocs/js/data.js
@@ -0,0 +1,268 @@
+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",
+  ],
+};