embedded_md

test.ipynb

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    "Basically given a angle $\\theta \\in [0, 2\\pi)$ we can get the unit vector for direction\n",
    " \n",
    " $$\n",
    " \\begin{aligned}\n",
    " & {dir}_x=\\cos (\\theta) \\\\\n",
    " & {dir}_y=\\sin (\\theta)\n",
    " \\end{aligned}\n",
    " $$\n",
    " \n",
    " And given two points, we can get the direction from $p_1$ to $p_2$ by:\n",
    " \n",
    " $$\n",
    " \\begin{aligned}\n",
    " d x & =x_2-x_1 \\\\\n",
    " d y & =y_2-y_1 \\\\\n",
    " \\text { distance } & =\\sqrt{d x^2+d y^2}\n",
    " \\end{aligned}\n",
    " $$\n",
    " \n",
    " To get the direction (unit vector), we divide the difference by the distance:\n",
    " \n",
    " $$\n",
    " \\begin{aligned}\n",
    " {dir}_x & =d x / \\text { distance } \\\\\n",
    " {dir}_y & =d y / \\text { distance }\n",
    " \\end{aligned}\n",
    " $$"
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