diff --git a/calculus-derivatives-with-python.ipynb b/calculus-derivatives-with-python.ipynb
index bfffcaa..d0b6c77 100644
--- a/calculus-derivatives-with-python.ipynb
+++ b/calculus-derivatives-with-python.ipynb
@@ -9,7 +9,7 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 3,
"metadata": {
"collapsed": true
},
@@ -20,26 +20,54 @@
"import sympy as sy"
]
},
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Derivatives are a fundamental concept in calculus and describe ***how a function changes as its input changes***. Essentially, they represent the rate of change or slope of a function at a particular point. This is crucial in understanding various physical, economic, and statistical models where change is an important factor."
+ ]
+ },
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Motivation: Slope of a Line\n",
+ "To begin understanding derivatives, let’s recall the slope of a line in basic algebra. The slope of a line between two points ```(X1,Y1)``` and ```(X2,Y2)``` is given by the formula:\n",
"\n",
"$$ \n",
"slope = \\frac{Y2 - Y1}{X2 - X1}\n",
"$$\n",
"\n",
- "Consider:\n",
+ "This measures how steep the line is — the greater the slope, the steeper the line.\n",
+ "\n",
+ "In calculus, we extend this idea of slope to functions that may not be straight lines. The derivative of a function tells us the slope of the tangent line to the function at any given point.\n",
+ "\n",
+ "***Example Functions***\n",
"\n",
+ "1. Linear function: The slope of this function is constant because the rate of change is the same everywhere. Its derivative is simply 1.\n",
"$$\n",
- " f(x) = x + 1 \\ \\ and \\ \\ g(x) = x^2 + 1\n",
- "$$"
+ " f(x) = x + 1 \\ \\ \n",
+ "$$\n",
+ "\n",
+ "\n",
+ "2. Quadratic function: Unlike the linear function, the slope (rate of change) of this function changes depending on the value of x.\n",
+ "$$ \n",
+ " \\ \\ g(x) = x^2 + 1\n",
+ "$$\n",
+ "\n",
+ "For the function above, the derivative is ```2x```, meaning that the slope increases as x increases:\n",
+ " $$\n",
+ " \\\\ 𝑔′(𝑥) = 2x\n",
+ " $$\n",
+ "\n",
+ "So, the derivative tells us how fast the function's value is changing at any given point. For linear functions like ```f(x)```, the rate of change is constant. But for more complex functions like ```g(x)```, the rate of change varies, and that’s where the power of derivatives becomes clear.\n",
+ "\n",
+ "Now let's see some examples on python:"
]
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
@@ -50,29 +78,27 @@
},
{
"cell_type": "code",
- "execution_count": 7,
+ "execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 7,
+ "execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -86,7 +112,7 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
@@ -95,29 +121,27 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "Text(0.5, 1.0, 'Zooming in on $x = [1,1.1]$\\nNow they both look Linear!')"
+ "Text(0.5, 1.0, 'Zooming in on $x = [1, 1.1]$\\nNow they both look Linear!')"
]
},
- "execution_count": 15,
+ "execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -130,7 +154,7 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": 8,
"metadata": {},
"outputs": [
{
@@ -139,20 +163,18 @@
"Text(0.5, 1.0, 'Zooming in on $x = [1,1.001,100]$\\nNow they both look Linear!')"
]
},
- "execution_count": 17,
+ "execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -192,7 +214,7 @@
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
@@ -202,7 +224,7 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
@@ -213,7 +235,7 @@
},
{
"cell_type": "code",
- "execution_count": 20,
+ "execution_count": 11,
"metadata": {},
"outputs": [
{
@@ -222,20 +244,18 @@
"Text(0.5, 1.0, 'Function and its Derivative')"
]
},
- "execution_count": 20,
+ "execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -258,7 +278,7 @@
},
{
"cell_type": "code",
- "execution_count": 8,
+ "execution_count": 12,
"metadata": {},
"outputs": [
{
@@ -267,20 +287,18 @@
"Text(0.5, 1.0, 'Another function and its Derivative')"
]
},
- "execution_count": 8,
+ "execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -303,7 +321,7 @@
},
{
"cell_type": "code",
- "execution_count": 9,
+ "execution_count": 13,
"metadata": {},
"outputs": [
{
@@ -312,20 +330,18 @@
"Text(0.5, 1.0, 'Just the Derivative')"
]
},
- "execution_count": 9,
+ "execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -340,16 +356,19 @@
},
{
"cell_type": "code",
- "execution_count": 10,
+ "execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
+ "text/latex": [
+ "$\\displaystyle 2 x - 2$"
+ ],
"text/plain": [
- "5*x**4 + 24*x**3 - 6*x**2 - 72*x + 1"
+ "2*x - 2"
]
},
- "execution_count": 10,
+ "execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
@@ -387,7 +406,7 @@
},
{
"cell_type": "code",
- "execution_count": 11,
+ "execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
@@ -401,7 +420,7 @@
},
{
"cell_type": "code",
- "execution_count": 12,
+ "execution_count": 16,
"metadata": {},
"outputs": [
{
@@ -410,7 +429,7 @@
"4.000010000027032"
]
},
- "execution_count": 12,
+ "execution_count": 16,
"metadata": {},
"output_type": "execute_result"
}
@@ -421,7 +440,7 @@
},
{
"cell_type": "code",
- "execution_count": 13,
+ "execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
@@ -437,19 +456,17 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -459,7 +476,7 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": 19,
"metadata": {
"collapsed": true
},
@@ -475,29 +492,27 @@
},
{
"cell_type": "code",
- "execution_count": 16,
+ "execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 16,
+ "execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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w78dn+VXZNxUaFMgtE3qw8v7J3DaxJws25jP5seU8u3wPtfUup+OJF3rk050EGLh/qv/u3YMK32O8/vV+fvLmNwzs2oEP7h7PwK7+uxdyXExEML+9uD9L7zuHielx/M+nO5n6+EpW7db4vrTcun1lfLS5gDsm9SIpxnPOV3GCCt9h1lqeWLqb37+/lcl9E3jj1nF0duOSCN4oNTaCOT8axcs3jabBZbn+xbX85I0M8g8ddTqaeDiXy/LQwu0kdgjljnN8+2pWLaHCd5C1lkc+2clfF+/iiuHJPH/9SMJDfPfgbGtN7pvAop9P4r4L+vD5zmKm/GUFz63YQ32Dhnmkee9vzGNz7mF+PbUfESE6ZOn2wjfGTDXGZBpjsowxv3H39ryFtZZHF2Xy/Mq9XDeuG4/NGqrFxVogLDiQn05JZ/G95zAhPY5HPtnJjKe/YGveYaejiYcpr67jT5/sZGhKDJcPS3Y6jkdwa8MYYwKBp4FpwADgamPMAHdu01v8bfEunl2+h6vHdOM/pw/yu1O8Wys1NoJ//GgUz103guKKGmY8/QV/+ngHLmtP/cXiF/6yKJPSIzU8dLl+v44z1o2/IMaYs4A/WGsvarz9AIC19k/NPT86OtqOHDnSbXk8Rf6ho+SUVZEQHUbPeM9eC8cb1LssOWVVFJdXU1+STVhwIKNGDHc6ljiosqaerXmHSewQRlqc7/+OrVixIsNaO+pUz3P3GEIycKDJ7dzG+/6XMeZ2Y8x6Y8z6uro6N8dxXklFDTllVcRFhars20hQgKFnXCQDGk/QqqqtZ0/JEepd2tv3RxbILq0kKDCAlNgIp+N4FHcfxWjufdS//RZaa+cAcwBGjRplly9f7uZIzlm5q4SbX1nHD3vG8vKNY3xqmQRPMemcc8g7eBRz6R+ojQzhP384mPP6+cfl6+SY177ax4MLtvHi7GHM8JOx+5auC+TuxskFUpvcTgHy3bxNj7Q17zA/fj2D9MRonrtupMreTQKMITU2gvfvGk9sZAg3v7K+cfE533/3KFB4uJo/L8pkfO/OTB/qX2vdt4S7W2cdkG6M6WGMCQFmAx+4eZsep6SihtteW09MeDCv3DSa6LBgpyP5vEHJMSy4ezx3T+7NuxvyuOhvK1mpBdl8mrWW3763hboGF/91+WC/XA3zVNxa+NbaeuBuYBGwA3jbWrvNndv0NLX1Ln7yRgYHq2qZ86NRJHbQejDtJTQokF9e1Jd3f3w2kaFB/OiltTzw7haO1NQ7HU3cYP43eXy+s5j7L+pHDz84UHsm3D6uYK392Frbx1rby1r7sLu352n+8OE21u07yKMzh/r1ok1OGprakYU/ncAdk3ry1rocLvrbSr7MKnU6lrShwsPV/PHDbYxO68RNZ6c5HcdjaSDZjd5ck8Oba3L48bm9NJ7osLDgQB64uD/z7jyLkKAArnlhDQ8u2Eql9va9XtOhnEdnDtWc+5NQ4bvJtvzD/OHDbUzqE88vL/TvFfo8ycjusXx8z0RuHt+Df369n2mPr2JtdpnTsaQV3liTo6GcFlLhu8GRmnp++uYGOkUE87crh+pyfR4mPCSQBy8bwFu3jcNiuWrOVzy0cDvVdQ1OR5PTtLuogocWbmdiepyGclpAhd/GrLX8/r0t7Pu2ksdnD9fKlx5sbM/OfPqzSVw7thsvrs7m4idWsSHnoNOxpIWq6xr46dwNRIcF8ZcrNZTTEir8NvZORi7vb8zn5+f3YZyfXjfTm0SGBvFflw/m9VvGUl3bwA+f/ZL/+XQnNfXa2/d0j3yyk52FFfx51lASojX7rSVU+G3oQFkVf/xgG+N6xnLX5N5Ox5HTMCE9jk/vncTMkSk8u3wP05/UCpye7NOtBbzy5T5uHt+DyX0TnI7jNVT4bcTlsvzynU0YY3hslsbtvVGHsGAenTmUl24cRVlVLZc//QV/X7KLOq2371Gyiiu47+1NDEvtyK+naULE6VDht5GXvshmTXYZD142gJROWrDJm53XL5HF907ikiFJ/H3Jbn7wzBdkFlY4HUuAiuo67vhnBuEhgTx73QhCg3TBoNOhwm8DWcUVPLook/P7JzBrZIrTcaQNdIwI4fHZw3nuuhEUHKrmsidX88zyLF1dy0HWWu5/ZzP7vq3iyatH+P31ac+ECr+VGlyW+97ZTGRIIP99hdbv8DVTByXx2b2TmNI/gUc/zWTmc1+xp+SI07H80t8W7+LTbYU8MK0fZ/XShIgzocJvpVe/3MemA4f444xBmingozpHhfLMtSN4fPYwsksrufjxVby4OhuX1ttvN/Mycnni8yyuHJXCLRN6OB3Ha6nwWyH/0FH+8lkm5/aN57IhSU7HETcyxjBjWDKL753EhN5xPLRwO7PnfM3+byudjubzvtxTygPvbmZ87848/AO9i24NFX4r/McH22iwlodmDNIPoZ9I6BDGCzeM4s8zh7CjoJxpj6/in1/t096+m2QWVnDnPzNI6xzJM9eOJDhQldUa+u6doUXbClm8vYh7z+9Dqi6j5leMMcwalcqieycxsnsn/t+Cbcye8zVZxRrbb0vZpZVc+8IawkMCeenG0cSE6zoSraXCPwNHaur5jwXb6Nclmps1nui3unYM57Wbx/DoD4eQWVTBxY+v4u9Lduks3TaQd+go1/7ja1zW8satY7VT1UZU+GfgyaW7KSyv5k9XDNZbTD9njOHK0aks+cU5TB3Uhb8v2c3FWoGzVYrKq7n2H19TUVPPazePoXdCtNORfIba6jRll1by0hfZzBqZwvBunZyOIx4iPjqUJ64ezss3jaa6zsWVz3/FA+9u4fBRXUv3dBwoq+LK57+iuKKGV24arYsGtTEV/ml6+KPthAYFcv9UndIt3ze5bwKLfzGJ2yb24F/rcpjylxW8s/6ADuq2wJ6SI1z5/FccrKzl9VvHMrJ7rNORfI4K/zSs2FXCkh3F/PS83ppzLycUERLE7y4ZwAd3TyA1Npz7523mime/ZNOBQ05H81hb8w5z1fNfUVvv4q3bz2KE3j27hQq/heoaXDy0cDtpnSO4cXya03HECwxKjmH+nWfz2Kyh5B48yuXPfMGv522m9EiN09E8ymfbCpn13FeEBAbwrzvOYkDXDk5H8lkq/BZ6/ev9ZBUf4feXDNCCTdJiAQGGmSNTWPbLc7h1Qg/mf5PL5MeW88KqvX4/m8dayz9W7uWO1zPokxjF+3ePp3dClNOxfJoKvwXKq+t4YuluJvSOY0p/rb0tpy86LJjfXTKAT38+ieHdOvFfH+3gvMdW8O43uTT44fh+ZU09v3h7Ew9/vINpg7rw1u1naZi0HajwW+AfK/dysKqO30zrpzNqpVV6J0Tx2s1j+OctY+gUGcwv3t7EJU+sYllmMdb6R/FnFlYw/anVLNiYx73n9+Gpq0cQHqJ3ze0hyOkAnq64opoXVmVz6ZAkTRGTNjMxPZ7xveJYuKWAxxZlctPL6xjTI5afTUnn7F6dfXLHwuWyvL5mP//98Q6iQoN5/daxnN0rzulYfkWFfwpPLs2irsHFLy/UNExpWwEBhulDuzJ1YBfmrs3hmeVZXPvCGoZ368g956Vzbt94nyn+faWV/Gr+ZtZmlzGpTzyPzRqiIRwHqPBPYl9pJXPX5jB7TCppcZFOxxEfFRIUwA1np3HV6FTmZeTy7PI93PTKOgYld+D2Sb2YNqiL157RXV3XwIurs3ny890EBwbw6MwhzBqZ4jN/yLyNCv8k/rJ4F8GBAdwzJd3pKOIHwoIDuW5cd64ancp7G/J4dvke7pm7gcQOoVw/rjtXj+lG56hQp2O2iLWWDzcX8D+f7CTv0FGmDuzCH6YPpEuM9uqdpMI/gZ2F5Xy4KZ+7JvfSW09pV8GBAVw5KpWZI1JYsauEl77I5rHPdvHE51lcMjiJmSNTOKtnZwICPG8vucFlWbStkKeXZbEtv5wBSR14bNZQXaHKQ6jwT+DJpVlEhQZx28SeTkcRPxUQYJjcL4HJ/RLIKq7g1S/38/7GPN7bkEdyx3CuGJHMjGFdPWJxsYrqOj7YlM9Lq7PZU1JJz7hIHps1lB8MTybQA/8w+SsVfjMyCyv4aEsBd0/uTceIEKfjiNA7IZqHLh/E7y7pz+LtRczLyOXpZVk8+XkWPeMjuXBAFy4cmMiwlI7ttudf3+Bi3b6DvLchl4WbC6iqbWBAUgeeumY40wYlqeg9kAq/GU98vpuo0CBdO1M8TlhwIJcN7cplQ7tSVF7NZ9uL+GxbIS+s2stzK/YQEx7M2B6xjOvZmbE9Y+mTGN2mB3wLD1ezbl8ZK3aVsHRHEQer6ogICeSyIV25emw3hqbE6ICsB1Phf8fuogo+3lLAT87tRadI7d2L50rsEMb147pz/bjuHD5ax/LMYr7IKuXrvWV8tr0IgJDAANITo+if1IE+iVEkd4yga8cwkmLC6RAeRHhw4PcKurqugdIjNZQeqSWnrIqs4iPsKT7C5rxDHCg7CkCHsCCm9E/kwgGJTOoTT2SoqsQb6P/SdzzxeRYRwYHcOkFj9+I9YsKDmTEsmRnDkgHIP3SUdfvK2J5fzvaCcpZnFjMvI/d7X2cMRIYEYQzUN1jqXS7qGv79jN8AA6mxEQxMiuHGs3swOq0TA5I6EOSlU0X9mQq/iaziChZuzufOc7R3L96ta8fwf/sDAHC4qo78w0fJP3SUgsPVVFTXU1Vbz5GaeqyFoABDUGAA0WFBxEWFEBcVSteO4fSIiyQsWEsf+AIVfhPPLt9LWFCgZuaIT4qJCCYmIpj+SVp+2F/pPVmjgsNHWbAxj6tGpxKrvXsR8UEq/EYvrsrGgmbmiIjPUuFzbGxz7tocLhuSRGpshNNxRETcolWFb4yZZYzZZoxxGWNGfeexB4wxWcaYTGPMRa2L6V6vr9lPZW0Dd5zTy+koIiJu09qDtluBK4Dnm95pjBkAzAYGAl2BJcaYPtZaj7umW3VdAy9/kc05feJ1MEtEfFqr9vCttTustZnNPDQDeMtaW2OtzQaygDGt2Za7zMvIpfRILXdq715EfJy7xvCTgQNNbuc23vc9xpjbjTHrjTHrS0pK3BSneS6X5aXV2QxNiWFcz9h23baISHs7ZeEbY5YYY7Y282/Gyb6smfuavWCntXaOtXaUtXZUfHx8S3O3iRW7S9hbWsnNE3po/Q8R8XmnHMO31p5/Bq+bC6Q2uZ0C5J/B67jVy1/sIyE6lGmDkpyOIiLidu4a0vkAmG2MCTXG9ADSgbVu2tYZySo+wspdJVw/rjshQZqdKiK+r7XTMn9gjMkFzgI+MsYsArDWbgPeBrYDnwJ3edoMnVe/3EdIYABXj+3mdBQRkXbRqmmZ1tr3gPdO8NjDwMOteX13OXy0jvnf5DJ9WFfivOQaoSIireWXYxnvrD9AVW0DN56d5nQUEZF243eF3+CyvPLlPsakxTIoOcbpOCIi7cbvCn/pjiJyDx7lpvFpTkcREWlXflf4b6zJoUuHMC4YkOh0FBGRduVXhX+grIqVu0u4cnSqLs8mIn7Hr1rvrXU5GGD26NRTPldExNf4TeHXNbj417pczuuXQNeO4U7HERFpd35T+Iu3F1F6pIZrdKKViPgpvyn8N9fkkNwxnHP6JDgdRUTEEX5R+PtKK1mdVcpVo1MJDNCqmCLin/yi8OeuyyEwwHCVDtaKiB/z+cKvrXcxb30uU/olkNghzOk4IiKO8fnC/3xnMd9W1nL1GB2sFRH/5vOFPy/jAAnRoUxMj3M6ioiIo3y68EsqaliWWcIPRiTrzFoR8Xs+3YILNubR4LLMGpnidBQREcf5bOFba3lnfS7DUjvSOyHa6TgiIo7z2cLfmldOZlEFM7V3LyIC+HDhz8s4QEhQAJcN7ep0FBERj+CThV9T38CCTflcNLALMeHBTscREfEIPln4S3cUc6iqTgdrRUSa8MnCn5+RS5cOYYzvrbn3IiLH+Vzhl1XWsmJXCTOGd9VCaSIiTfhc4X+8pYB6l2XG0GSno4iIeBSfK/wFG/NIT4iif5Lm3ouINOVThZ97sIp1+w5y+fBkjNFwjohIUz5V+B9uKgBguubei4h8j08V/oKNeYzs3onU2Aino4iIeByfKfydheXsLKxgxjDt3YuINMdnCn/G9kleAAAFF0lEQVTBxnwCAwwXD05yOoqIiEfyicJ3uSwfbMxnYnoccVGhTscREfFIPlH4GTkHyTt0VMM5IiIn4ROFb4BJfeK5YEAXp6OIiHisIKcDtIVRabG8dvMYp2OIiHg0n9jDFxGRU1Phi4j4CRW+iIifUOGLiPiJVhW+MebPxpidxpjNxpj3jDEdmzz2gDEmyxiTaYy5qPVRRUSkNVq7h78YGGStHQLsAh4AMMYMAGYDA4GpwDPGmMBWbktERFqhVYVvrf3MWlvfePNr4PhFZGcAb1lra6y12UAWoHmTIiIOassx/JuBTxo/TwYONHkst/G+7zHG3G6MWW+MWV9SUtKGcUREpKlTnnhljFkCNHcK6++stQsan/M7oB544/iXNfN829zrW2vnAHMaX6fEGLO/BbmbEweUnuHXOsGb8npTVoA4Y4y35PW67y3ek9ebskLr8nZvyZNOWfjW2vNP9rgx5gbgUmCKtfZ4qecCqU2elgLkt2Bb8ad6zklyrLfWjjrTr29v3pTXm7KCd+X1pqzgXXm9KSu0T97WztKZCvwamG6trWry0AfAbGNMqDGmB5AOrG3NtkREpHVau5bOU0AosLjxGrJfW2vvtNZuM8a8DWzn2FDPXdbahlZuS0REWqFVhW+t7X2Sxx4GHm7N65+mOe24rbbgTXm9KSt4V15vygreldebskI75DX/N+wuIiK+TEsriIj4CZ8qfGPMQ43LPGw0xnxmjPHoS2CdbGkKT2OMmWWM2WaMcRljPHLmgzFmauNSHlnGmN84nedkjDEvGWOKjTFbnc5yKsaYVGPMMmPMjsafgZ85nelkjDFhxpi1xphNjXn/6HSmUzHGBBpjNhhjFrpzOz5V+MCfrbVDrLXDgIXAg04HOoVml6bwUFuBK4CVTgdpTuPSHU8D04ABwNWNS3x4qlc4tuyIN6gH7rPW9gfGAXd5+Pe2BjjPWjsUGAZMNcaMczjTqfwM2OHujfhU4Vtry5vcjOQEJ3t5ipMsTeFxrLU7rLWZTuc4iTFAlrV2r7W2FniLY0t8eCRr7UqgzOkcLWGtLbDWftP4eQXHiqnZM+c9gT3mSOPN4MZ/HtsFxpgU4BLgBXdvy6cKH8AY87Ax5gBwLZ6/h99U06Up5PS1eDkPOXPGmDRgOLDG2SQn1zhEshEoBhZbaz0579+BXwEud2/I6wrfGLPEGLO1mX8zAKy1v7PWpnJsmYe7nU176ryNz/nu0hSOaElWD9bi5TzkzBhjooD5wM+/827a41hrGxqHdlOAMcaYQU5nao4x5lKg2Fqb0R7b87qLmJ9qqYcm3gQ+Av7DjXFO6QyXpnDEaXxvPdEZLechLWOMCeZY2b9hrX3X6TwtZa09ZIxZzrHjJZ54gHw8MN0YczEQBnQwxrxurb3OHRvzuj38kzHGpDe5OR3Y6VSWljjJ0hRy+tYB6caYHsaYEI5dj+EDhzP5BHPsNPoXgR3W2r86nedUjDHxx2e8GWPCgfPx0C6w1j5grU2x1qZx7Gf2c3eVPfhY4QOPNA5BbAYu5NiRb0/2FBDNsaUpNhpjnnM60IkYY35gjMkFzgI+MsYscjpTU40Hv+8GFnHsoOLb1tptzqY6MWPMXOAroK8xJtcYc4vTmU5iPHA9cF7jz+nGxj1ST5UELGvsgXUcG8N363RHb6EzbUVE/ISv7eGLiMgJqPBFRPyECl9ExE+o8EVE/IQKX0TET6jwRUT8hApfRMRPqPBFRPzE/wd5Ga4cHT843wAAAABJRU5ErkJggg==",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -510,7 +525,7 @@
},
{
"cell_type": "code",
- "execution_count": 17,
+ "execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
@@ -522,16 +537,16 @@
},
{
"cell_type": "code",
- "execution_count": 18,
+ "execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "(1/3 + sqrt(19)/3, -sqrt(19)/3 + 1/3)"
+ "(1/3 - sqrt(19)/3, 1/3 + sqrt(19)/3)"
]
},
- "execution_count": 18,
+ "execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
@@ -542,29 +557,27 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
- "[]"
+ "[]"
]
},
- "execution_count": 19,
+ "execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
- "image/png": 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",
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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -579,7 +592,7 @@
},
{
"cell_type": "code",
- "execution_count": 20,
+ "execution_count": 24,
"metadata": {
"collapsed": true
},
@@ -602,19 +615,17 @@
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
- ""
+ ""
]
},
- "metadata": {
- "needs_background": "light"
- },
+ "metadata": {},
"output_type": "display_data"
}
],
@@ -639,7 +650,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
- "version": "3.8.13"
+ "version": "3.12.6"
},
"vscode": {
"interpreter": {