1134 lines
825 KiB
Plaintext
1134 lines
825 KiB
Plaintext
{
|
||
"cells": [
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1,
|
||
"id": "78a0b600-cda3-41ee-a9a1-8a644940202e",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"import numpy as np\n",
|
||
"import matplotlib.pyplot as plt"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"id": "09142034-8ff1-4da5-97ea-bff1b7869a04",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"(3, 5)"
|
||
]
|
||
},
|
||
"execution_count": 6,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"arr = np.array(\n",
|
||
" [\n",
|
||
" [1,2,3,4,5],\n",
|
||
" [6,7,8,9,8],\n",
|
||
" [7,6,5,4,3],\n",
|
||
" ])\n",
|
||
"arr.shape"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 19,
|
||
"id": "a65fb5c3-76d2-4555-a433-31cfd4274067",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = np.linspace(0, 2*np.pi, num=100) # Definiere einen linearen Bereich von 0 bis 2pi\n",
|
||
"y = np.sin(x) # Berechne den Sinus mit den Werten von x\n",
|
||
"\n",
|
||
"plt.plot(x, y+1) # Setze für die X-Achse x und für die Y-Achse y\n",
|
||
"plt.show() # Zeige den Plot"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 15,
|
||
"id": "29242c2a-e5df-4273-8362-2f06d226cb3b",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([0. , 0.6981317 , 1.3962634 , 2.0943951 , 2.7925268 ,\n",
|
||
" 3.4906585 , 4.1887902 , 4.88692191, 5.58505361, 6.28318531])"
|
||
]
|
||
},
|
||
"execution_count": 15,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"x"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 16,
|
||
"id": "28020b1f-7cf6-4c99-9263-71a536035943",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([ 0.00000000e+00, 6.42787610e-01, 9.84807753e-01, 8.66025404e-01,\n",
|
||
" 3.42020143e-01, -3.42020143e-01, -8.66025404e-01, -9.84807753e-01,\n",
|
||
" -6.42787610e-01, -2.44929360e-16])"
|
||
]
|
||
},
|
||
"execution_count": 16,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"y"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"id": "d57b92d4-19a8-44df-8ffd-9d02d496cddf",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"array([1. , 1.64278761, 1.98480775, 1.8660254 , 1.34202014,\n",
|
||
" 0.65797986, 0.1339746 , 0.01519225, 0.35721239, 1. ])"
|
||
]
|
||
},
|
||
"execution_count": 17,
|
||
"metadata": {},
|
||
"output_type": "execute_result"
|
||
}
|
||
],
|
||
"source": [
|
||
"y+1"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 20,
|
||
"id": "cae86f92-9b38-4a49-8c5a-4b82de9c42b7",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "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",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"y1 = np.sin(x) # Sinus Werte mittels x berechnen\n",
|
||
"y2 = np.cos(x) # Kosinus Werte mittels x berechnen\n",
|
||
"\n",
|
||
"plt.plot(x, y1) # Plotte den Sinus\n",
|
||
"plt.plot(x, y2) # Plotte den Kosinus\n",
|
||
"\n",
|
||
"plt.show() # Zeige das Diagramm"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 38,
|
||
"id": "9f62662e-6dfe-4523-8eae-8625f9b8a9db",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAhYAAAGdCAYAAABO2DpVAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjcsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvTLEjVAAAAAlwSFlzAAAPYQAAD2EBqD+naQAATVdJREFUeJzt3Xd8U+X+B/BP0jZJ96Klg7JbaEtlg4CCzMpuARkCIl5FEJSKegWVC15ULioKKldUlCHIEgtcGRUrZcsum7IKFDqghe6dPL8/8mvaAIWmpD0Zn/fr9bySnJyTfHOMzYfnPOc5MiGEABEREZERyKUugIiIiCwHgwUREREZDYMFERERGQ2DBRERERkNgwUREREZDYMFERERGQ2DBRERERkNgwUREREZjW1tv6FGo0FycjKcnZ0hk8lq++2JiIioGoQQyMnJgZ+fH+Tyyvslaj1YJCcnIyAgoLbfloiIiIwgKSkJ9erVq/T5Wg8Wzs7OALSFubi41PbbExERUTVkZ2cjICBA9ztemVoPFmWHP1xcXBgsiIiIzMyjhjFw8CYREREZDYMFERERGQ2DBRERERlNrY+xqAq1Wo2SkhKpyyArZGNjA1tbW54KTURUTSYXLHJzc3Hjxg0IIaQuhayUg4MDfH19oVAopC6FiMjsmFSwUKvVuHHjBhwcHODl5cV/NVKtEkKguLgYt2/fRmJiIgIDAx86CQwREd3PpIJFSUkJhBDw8vKCvb291OWQFbK3t4ednR2uXbuG4uJiqFQqqUsiIjIrJvnPMfZUkJTYS0FEVH38C0pERERGw2BBRERERsNgYQS3b9/GpEmTUL9+fSiVSvj4+CA8PBz79u2TurRqi4uLg0wm0zUvLy/069cPp06dMur7LFu2DG5ubkZ9TSIiko5JDd40V0OHDkVxcTGWL1+Oxo0bIy0tDbGxscjIyJC6NBQXFz/WaZMJCQlwcXFBcnIy3nnnHfTv3x+XLl3iqZhERPRA7LF4TJmZmdizZw/mzZuH7t27o0GDBujQoQNmzJiBQYMG6da7ePEiunbtCpVKhZCQEOzYsQMymQwbN24EUN5DkJmZqdsmPj4eMpkMV69eBQBkZGRg1KhR8Pf3h4ODA8LCwrB69Wq9ep555hlMmTIFUVFRqFOnDsLDwwEAp0+fRt++feHk5IS6deti7NixSE9Pf+Tn8/b2ho+PD9q0aYOoqCgkJSXh/Pnzuuc3bNiA0NBQKJVKNGzYEPPnz9fb/u7du3jhhRfg7u4OBwcH9O3bFxcvXtR95vHjxyMrK0vXMzJ79uyq7noiIrpHqaZU6hJMPFgIAeTlSdOqOEGXk5MTnJycsHHjRhQVFT1wHY1GgyFDhkChUODgwYNYvHgx3n33XYN3R2FhIdq2bYstW7bg9OnTmDBhAsaOHYtDhw7prbd8+XIoFArs27cPixcvRmZmJnr06IHWrVvjyJEj2L59O9LS0jB8+PAqv3dWVhbWrFkDALreiqNHj2L48OEYOXIkTp06hdmzZ2PmzJlYtmyZbrsXX3wRR44cwebNm3HgwAEIIdCvXz+UlJSgc+fOWLBgAVxcXJCSkoKUlBS8/fbbBu8XIiIC9l7fi9D/hmLfdYkPw4talpWVJQCIrKys+54rKCgQZ8+eFQUFBdoFublCaH/ia7/l5lb5M/3666/C3d1dqFQq0blzZzFjxgxx4sQJ3fMxMTHC1tZW3Lx5U7ds27ZtAoCIjo4WQgixc+dOAUDcvXtXt87x48cFAJGYmFjpe/fv31+89dZbusfdunUTrVu31ltnzpw5ok+fPnrLkpKSBACRkJDwwNctq8fR0VE4OjoKAAKAGDRokG6d559/XvTu3Vtvu3feeUeEhIQIIYS4cOGCACD27dunez49PV3Y29uLdevWCSGEWLp0qXB1da3080nhvu8hEZGJyy3KFU0WNhGYDfHSxpdq5D0e9vtdkWn3WJiJoUOHIjk5GZs3b8azzz6LuLg4tGnTRvcv93PnziEgIAB+fn66bTp16mTw+6jVasyZMwdhYWHw8PCAk5MTYmJicP36db312rZtq/f4xIkT2Llzp653xcnJCc2bNwcAXL58+aHvuWfPHhw9ehTLli1DUFAQFi9erHvu3Llz6NKli976Xbp0wcWLF6FWq3Hu3DnY2tqiY8eOuuc9PT3RrFkznDt3zuDPT0RED/bun+/i8t3LCHAJwBfhX0hai2kP3nRwAHJzpXtvA6hUKvTu3Ru9e/fGzJkz8fLLL2PWrFl48cUXq7R92aRMosIhmHsvxPbZZ59h4cKFWLBgAcLCwuDo6IioqCgUFxfrrefo6Kj3ODc3FwMHDsS8efPue19fX9+H1tWoUSO4ubmhWbNmuHXrFkaMGIHdu3dX6TMREVHNi70Si0WHFwEAfhr8E1xVrpLWY9rBQiYD7vmRNBchISG6gZnBwcFISkpCSkqK7of877//1lvfy8sLAJCSkgJ3d3cA2sGbFe3btw+DBw/GmDFjAGjHbly4cAEhISEPraVNmzbYsGEDGjZsCFvb6v8nnzx5MubOnYvo6GhERkYiODj4vlNq9+3bh6CgINjY2CA4OBilpaU4ePAgOnfuDEA7ADUhIUFXs0KhgFqtrnZNRETWLKswCy9tfgkA8Fq719CrcS+JKzL1wZtmICMjAz169MDKlStx8uRJJCYmYv369fj0008xePBgAECvXr0QFBSEcePG4cSJE9izZw/ef/99vddp2rQpAgICMHv2bFy8eBFbtmy57wyLwMBA7NixA/v378e5c+fw6quvIi0t7ZE1Tp48GXfu3MGoUaNw+PBhXL58GTExMRg/frxBP+oODg545ZVXMGvWLAgh8NZbbyE2NhZz5szBhQsXsHz5cnzzzTe6AZiBgYEYPHgwXnnlFezduxcnTpzAmDFj4O/vr9s3DRs2RG5uLmJjY5Geno78/Pwq10NEZO2mxUzD9azraOzeGPN6398rLYkaGeHxEAYN3jQDhYWFYvr06aJNmzbC1dVVODg4iGbNmokPPvhA5Ofn69ZLSEgQTz31lFAoFCIoKEhs375db/CmEELs3btXhIWFCZVKJZ5++mmxfv16vcGbGRkZYvDgwcLJyUl4e3uLDz74QLzwwgti8ODButfo1q2bmDp16n11XrhwQURGRgo3Nzdhb28vmjdvLqKiooRGo3ng53rQYFIhhLh+/bqwtbUVa9euFUJoB66GhIQIOzs7Ub9+ffHZZ5/prX/nzh0xduxY4erqKuzt7UV4eLi4cOGC3joTJ04Unp6eAoCYNWvWw3d4LTDH7yERWZ/fE34XmA0hmy0Tu6/urvH3q+rgTZkQVTyv0kiys7Ph6uqKrKwsuLi46D1XWFiIxMRENGrUyCquKimTyRAdHY2IiAipS6EKrO17SETmJyM/Ay2+bYHU3FRMe3Ia5ofPf/RGj+lhv98V8VAIERGRmfn9wu9IzU1F8zrN8VGPj6QuR49pD94kIiKi+4xrNQ7+Lv5wU7nB3s5e6nL0MFhIqJaPQhERkQUxhTNAHoSHQoiIiMyAEAL/3vVvXM28KnUpD8VgQUREZAZWnVqFWXGz0Pb7tsguypa6nErxUAgREZEZeLLek3iq/lN4tsmzcFFWflaG1BgsiIiIzEBTj6aIGxcHAdMen8dDIURERCYsNTdVd99GbgNbuWn3CTBYEBERmajz6efR5KsmiNoehWJ18aM3MAEMFmRWZs+ejVatWkldBhFRjStRl2Bs9Fjkl+Tj7O2zJt9TUYbBwghu376NSZMmoX79+lAqlfDx8UF4ePh9V/40J3FxcZDJZPe1Dz74oNZqkMlkuivElnn77bcRGxtbazUQEUnl4z0f40jyEbip3LB08FLIZebxk20e8cfEDR06FMXFxVi+fDkaN26MtLQ0xMbGIiMjQ+rSUFxcDIVCUe3tExIS9OaEd3JyMkZZ1ebk5CR5DURENe3QzUP4aLd2qu7/9vsv/F38Ja6o6swj/piwzMxM7NmzB/PmzUP37t3RoEEDdOjQATNmzMCgQYN06128eBFdu3aFSqVCSEgIduzYofcv8rIegszMTN028fHxkMlkuHr1KgDtJdpHjRoFf39/ODg4ICwsDKtXr9ar55lnnsGUKVMQFRWFOnXqIDw8HABw+vRp9O3bF05OTqhbty7Gjh2L9PT0R34+b29v+Pj46JqTk1OVal22bBnc3NwQExOD4OBgODk54dlnn0VKSore6//0008IDQ2FUqmEr68vpkyZAkB7OXUAiIyMhEwm0z2+91CIRqPBv//9b9SrVw9KpRKtWrXC9u3bdc9fvXoVMpkMv/32G7p37w4HBwe0bNkSBw4ceORnJyKSQn5JPsZGj4VaqDGyxUiMChsldUkGMYtgkVecZ3Ar1ZTqti/VlCKvOA8FJQVVel1DlP0LeuPGjSgqKnrgOhqNBkOGDIFCocDBgwexePFivPvuuwbvh8LCQrRt2xZbtmzB6dOnMWHCBIwdOxaHDh3SW2/58uVQKBTYt28fFi9ejMzMTPTo0QOtW7fGkSNHsH37dqSlpWH48OEG12CI/Px8fP755/j555+xe/duXL9+HW+//bbu+W+//RaTJ0/GhAkTcOrUKWzevBlNmzYFABw+fBgAsHTpUqSkpOge32vhwoWYP38+Pv/8c5w8eRLh4eEYNGgQLl68qLfe+++/j7fffhvx8fEICgrCqFGjUFpa+sDXJCKS0j93/BMXMi7Az9kPi/otkrocw9X4Bdzv8bDruRcUFIizZ8+KgoICveWYDYPbutPrdNuvO71OYDZEt6Xd9F63zqd1HritoX799Vfh7u4uVCqV6Ny5s5gxY4Y4ceKE7vmYmBhha2srbt68qVu2bds2AUBER0cLIYTYuXOnACDu3r2rW+f48eMCgEhMTKz0vfv37y/eeust3eNu3bqJ1q1b660zZ84c0adPH71lSUlJAoBISEh44OuW1ePo6KjX0tPTq1Tr0qVLBQBx6dIl3TqLFi0SdevW1T328/MT77//fqWfreL+KTNr1izRsmVLvdf4+OOP9dZp3769eO2114QQQiQmJgoAYsmSJbrnz5w5IwCIc+fOPfB9K/seEhHVtJhLMbrfophLMVKXo+dhv98VmUWPhakbOnQokpOTsXnzZjz77LOIi4tDmzZtsGzZMgDAuXPnEBAQAD8/P902nTp1Mvh91Go15syZg7CwMHh4eMDJyQkxMTG4fv263npt27bVe3zixAns3LlT17vi5OSE5s2bAwAuX7780Pfcs2cP4uPjdc3d3b3K9To4OKBJkya6x76+vrh16xYA4NatW0hOTkbPnj2r/Hr3ys7ORnJyMrp06aK3vEuXLjh37pzesieeeEKvjrIaiIhMxZ2COxi/aTwAYHL7yejTpI/EFVWPWQzezJ2Ra/A2Slul7n5kcCRyZ+TeN6L26tSrj1uajkqlQu/evdG7d2/MnDkTL7/8MmbNmoUXX3yxStvL5draRIUrnpaUlOit89lnn2HhwoVYsGABwsLC4OjoiKioKBQX65/b7OjoqPc4NzcXAwcOxLx58+5737If2co0atQIbm5uBtcKAHZ2dnqPZTKZbht7+9q9zG/FWmQyGQDtISoiIlPx2pbXkJyTjCDPIHza+1Opy6k2swgWjgrHR6/0ELZyW9gq7v+oj/u6DxMSEqIbmBkcHIykpCSkpKTofsj//vtvvfW9vLwAACkpKbpegfj4eL119u3bh8GDB2PMmDEAtD+MFy5cQEhIyENradOmDTZs2ICGDRvC1vbx/5NXpdZHcXZ2RsOGDREbG4vu3bs/cB07Ozuo1epKX8PFxQV+fn7Yt28funXrplu+b98+dOjQwaB6iIiktPrUaqw9sxY2MhusjFwJBzsHqUuqNh4KeUwZGRno0aMHVq5ciZMnTyIxMRHr16/Hp59+isGDBwMAevXqhaCgIIwbNw4nTpzAnj178P777+u9TtOmTREQEIDZs2fj4sWL2LJlC+bPn6+3TmBgIHbs2IH9+/fj3LlzePXVV5GWlvbIGidPnow7d+5g1KhROHz4MC5fvoyYmBiMHz/+oT/clalKrVUxe/ZszJ8/H1999RUuXryIY8eO4euvv9Y9XxY8UlNTcffu3Qe+xjvvvIN58+Zh7dq1SEhIwPTp0xEfH4+pU6caXA8RkRSKSovw1h9vAQA+6PoB2vu3l7iix8Ng8ZicnJzQsWNHfPnll+jatStatGiBmTNn4pVXXsE333wDQHvoIDo6GgUFBejQoQNefvllfPzxx3qvY2dnh9WrV+P8+fN44oknMG/ePHz00Ud663zwwQdo06YNwsPD8cwzz8DHxwcRERGPrLHsX/VqtRp9+vRBWFgYoqKi4ObmpjusYYiq1FoV48aNw4IFC/Df//4XoaGhGDBggN7ZHPPnz8eOHTsQEBCA1q1bP/A13njjDUybNg1vvfUWwsLCsH37dmzevBmBgYEG10NEJAWlrRKxL8TiH63/gfeffv/RG5g4mah4oLwWZGdnw9XVFVlZWXoTLwHa0ykTExPRqFEjqFSq2ixLEjKZDNHR0VUKB1R7rO17SERUFQ/7/a6IPRZEREQSOJl2Evuum++lHyrDYEFERFTLCkoKMGrDKHRd1hVrTq+RuhyjMouzQixVLR+FIiIiE1GqKUVb37bIyM9Az0bVn8/HFDFYEBER1TJnpTNWRK5AWm4avBy9pC7HqHgohIiIqJbkl+Tr9VbXdaorYTU1w6BgoVarMXPmTDRq1Aj29vZo0qQJ5syZY/QufR4iICnx+0dENUEIgVEbRmHg6oFIy330HETmyqBDIfPmzcO3336L5cuXIzQ0FEeOHMH48ePh6uqKN95447GLsbGxAQAUFxfX+pTPRGXy8/MB3D8lORHR4/jh2A/YnLAZChsFUnNTLbK3AjAwWOzfvx+DBw9G//79AWhnRly9evV9l+2udjG2tnBwcMDt27dhZ2dXrcmbiKpLCIH8/HzcunULbm5uuqBLRPS4LmRcwJsxbwIAPunxCVr6tJS4oppjULDo3Lkzvv/+e1y4cAFBQUE4ceIE9u7diy+++KLSbYqKilBUVKR7nJ2dXem6MpkMvr6+SExMxLVr1wwpjcho3Nzc4OPjI3UZRGQhStQlGP3baOSX5KNno554s9ObUpdUowwKFtOnT0d2djaaN28OGxsbqNVqfPzxxxg9enSl28ydOxcffvhhld9DoVAgMDDwvit2EtUGOzs79lQQkVHNjpuNI8lH4K5yx7KIZfddadvSGBQs1q1bh1WrVuGXX35BaGgo4uPjERUVBT8/P4wbN+6B28yYMQPTpk3TPc7OzkZAQMBD30cul3MqZSIiMnt7ru3B3L1zAQDfDfgO9VzqSVxRzTMoWLzzzjuYPn06Ro4cCQAICwvDtWvXMHfu3EqDhVKphFKpfPxKiYiIzMjdgrsY/dtoCAiMazkOz4U+J3VJtcKg/pj8/Pz7BlTa2NhAo9EYtSgiIiJzJoTAhN8nICk7CU3cm+Drvl9LXVKtMajHYuDAgfj4449Rv359hIaG4vjx4/jiiy/w0ksv1VR9REREZufH4z/i17O/wlZui9VDV8NZ6Sx1SbXGoGDx9ddfY+bMmXjttddw69Yt+Pn54dVXX8W//vWvmqqPiIjIrJxPP4+p26cCAD7u8THa+7eXuKLaJRO1PM1gVa/nTkREZI4G/DIAWy5uQa/GvRAzJsZizgKp6u+3ZXxaIiIiE7E8YjlebPUiVkSssJhQYQhe3ZSIiMiIPB08sXTwUqnLkIz1RSkiIiIjS8tNw6qTq3gRQzBYEBERPRaN0GDcxnEYEz0Gs+NmS12O5BgsiIiIHoMQAk/XfxrOCmeMaDFC6nIkx7NCiIiIjOBOwR142HtIXUaN4VkhRERENSi/JB8FJQW6x5YcKgzBYEFERFQNU7ZOQYclHXDm1hmpSzEpPN2UiIjIQKtOrsLS+KWQy+RIz0+XuhyTwh4LIiIiA1zMuIiJWyYCAGZ2nYluDbtJXJFpYbAgIiKqoqLSIoz4dQRyi3PRrUE3zOw6U+qSTA6DBRERURW9s+MdHE89jjoOdbBqyCrYyG2kLsnkMFgQERFVwcbzG/H1oa8BACsiVsDfxV/iikwTgwUREdEjXMu8hvGbxgMA3u70NvoG9pW4ItPFYEFERPQQJeoSjNowCpmFmejg3wEf9/xY6pJMGoMFERHRQ/xr579w4MYBuCpdsWboGihsFFKXZNIYLIiIiCrxx+U/8J99/wEALBm0BI3cG0lckeljsCAiIqpE2WDNiW0nYljIMImrMQ+ceZOIiKgSG4ZvwMK/F2JKhylSl2I2GCyIiIgqobBR4J0u70hdhlnhoRAiIqIKdl3dhRl/zkCpplTqUswSeyyIiIj+X15xHkZtGIWU3BS4KF0w4+kZUpdkdthjQURE9P8cFY5Y+OxCdKrXCW90fEPqcsySTAghavMNs7Oz4erqiqysLLi4uNTmWxMREVWJEAIymUzqMkxKVX+/2WNBRERW7+CNg0jOSdY9ZqioPgYLIiKyask5yRi0ZhBaf9cap9JOSV2O2WOwICIiq1WqKcWoDaNwK+8WfJx80NSjqdQlmT0GCyIislqzds7C7mu74aRwwvrn1sPezl7qkswegwUREVmlbRe34ZO9nwAAlgxcgiDPIIkrsgwMFkREZHWSspIwNnosAOC1dq9hRIsREldkORgsiIjIqpSoSzByw0hkFGSgrW9bfBH+hdQlWRQGCyIisirvxb6H/Un74ap0xbrn1kFpq5S6JIvCYEFERFZj4/mN+PzA5wCApYOXorF7Y4krsjwMFkREZBUu3bmEcRvHAQDefPJNRAZHSlyRZWKwICIii5dfko+h64YiuygbXQK6YF6veVKXZLEYLIiIyOJphAbBdYJR17Eu1j23DnY2dlKXZLF42XQiIrJ4TgonrB66GjdzbsLP2U/qciwaeyyIiMhipeSkoOwi3jKZDPVc6klckeVjsCAiIouUkZ+BJ398EsPWD0N2UbbU5VgNBgsiIrJIB24cQEpOCk6mndT1WlDN4xgLIiKySAOCBmDP+D2wt7OHq8pV6nKsBoMFERFZFCEEZDIZAKBjvY4SV2N9eCiEiIgsxrXMa3jyxycRnxovdSlWi8GCiIgsQlFpEYatH4ZDNw9h6vapHFchEQYLIiKyCK9vex1Hko/Aw94DKyJW6A6HUO1isCAiIrP3w9Ef8MOxHyCDDL8M+QUN3BpIXZLVYrAgIiKzdvDGQUzZNgUA8FGPjxDeNFziiqwbgwUREZmttNw0DF03FMXqYkQ2j8SMp2ZIXZLVY7AgIiKzVKIuwfBfh+Nmzk00r9McyyKWcVyFCWCwICIis/TOjnew+9puOCucsXHERrgoXaQuicBgQUREZmjlyZVYeHAhAGBF5Ao0q9NM4oqoDIMFERGZlfjUeEz43wQAwPtPv4+I5hHSFkR6GCyIiMisfHPoGxSUFuDZps/iw2c+lLocugevFUJERGbluwHfIdAjEK+0fQU2chupy6F7MFgQEZFZsZHb4N2n3pW6DKoED4UQEZHJ++3cb5j4+0QUlRZJXQo9AnssiIjIpN0tuIvxm8Yjuygbzes0R9STUVKXRA/BHgsiIjJp7vbuWDN0DYYGD8WUDlOkLoceQSZq+bqy2dnZcHV1RVZWFlxcOJkJERGROajq7zd7LIiIyCR9ceALXLl7ReoyyEAMFkREZHKWxy/HW3+8hQ4/dEBGfobU5ZABGCyIiMikHLxxEK/+/ioAYHL7yfB08JS4IjIEgwUREZmM5JxkRK6NRJG6CIObDcasZ2ZJXRIZyOBgcfPmTYwZMwaenp6wt7dHWFgYjhw5UhO1ERGRFSksLcSQtUOQkpuCUK9Q/Bz5M+Qy/vvX3Bg0j8Xdu3fRpUsXdO/eHdu2bYOXlxcuXrwId3f3mqqPiIisgBACk7ZMwsGbB+GucsemkZvgrHSWuiyqBoOCxbx58xAQEIClS5fqljVq1MjoRRERkXX5+tDXWBa/DHKZHGuHrUUTjyZSl0TVZFAf0+bNm9GuXTs899xz8Pb2RuvWrfHDDz88dJuioiJkZ2frNSIiojKxV2IxLWYaAODz3p+jd5PeEldEj8OgYHHlyhV8++23CAwMRExMDCZNmoQ33ngDy5cvr3SbuXPnwtXVVdcCAgIeu2giIrIMFzMu4rn1z0Et1Hih5QucrtsCGDTzpkKhQLt27bB//37dsjfeeAOHDx/GgQMHHrhNUVERiorKLxqTnZ2NgIAAzrxJRGTlMgsz8eSSJ5GQkYCO/h0R92IcVLYqqcuiStTIzJu+vr4ICQnRWxYcHIzr169Xuo1SqYSLi4teIyIi+mTPJ0jISEA9l3rYOHIjQ4WFMGjwZpcuXZCQkKC37MKFC2jQoIFRiyIiIss3p/scZBVmYWK7ifBx8pG6HDISg4LFm2++ic6dO+OTTz7B8OHDcejQIXz//ff4/vvva6o+IiKyUEpbJb4b+J3UZZCRGXQopH379oiOjsbq1avRokULzJkzBwsWLMDo0aNrqj4iIrIgcVfjMOPPGVBr1FKXQjXEoB4LABgwYAAGDBhQE7UQEZEFyyzMxLB1w5BRkAFvR2+82elNqUuiGsC5UomIqFa4qdzwVd+v0LVBV0xsN1HqcqiGGHS6qTFU9XQVIiKyTEIIyGQyqcsgA9XI6aZERESG+ubQN0jJSdE9ZqiwbAwWRERUY5YcW4LXt72Ojks6IqcoR+pyqBYwWBARUY34K/EvTNoyCQDwSptXeLVSK8FgQURERnc+/TyGrhuKUk0pRrUYhQ+6fiB1SVRLGCyIiMiobufdRr9V/ZBZmIkuAV3w0+CfOK7CijBYEBGR0RSWFiJibQQSMxPR2L0xokdE8xogVobBgoiIjEIIgZc2vYT9SfvhpnLDlue3wMvRS+qyqJYxWBARkVHMjpuN1adXw1Zuiw3DN6B5neZSl0QSYLAgIqLH9vOJn/Hv3f8GAHw34Dv0aNRD4opIKgwWRET0WHZf241/bP4HAGB6l+l4qfVLEldEUmKwICKiahNCYHbcbJRoSjAsZBg+7vmx1CWRxBgsiIio2mQyGTaO3Ii3O72NFRErIJfxZ8XaGXzZdCIioooXEnNRuuCzPp9JXBGZCkZLIiIyiEZoMDZ6LD7b9xlq+QLZZAYYLIiIyCBbL27FqlOr8N5f7+F8+nmpyyETw0MhRERkkAFBA/Bl+JdwU7kh2CtY6nLIxDBYEBGRwaKejJK6BDJRPBRCRESPdDT5KAatHoTMwkypSyETx2BBREQPdTXzKvr/0h//u/A/fPAXL39OD8dgQURElbpTcAd9V/VFWl4aWtZtiU96fiJ1SWTiGCyIiOiBikqLELk2EufTz6OeSz1seX4LXJQuUpdFJo7BgoiI7qMRGozbOA67r+2Gi9IF20Zvg7+Lv9RlkRlgsCAiovvM+HMG1p5ZCzu5HaJHRKOFdwupSyIzwWBBRER6Fh1ahE/3fwoA+GnwT7wEOhmEwYKIiHTWn1mP17e9DgD4qPtHGPPEGIkrInPDYEFERACAnYk7MSZ6DAQEJrefjPeefk/qksgMMVgQERFOpJ5AxNoIFKuLMTR4KBY+u1B39VIiQ3BKbyIigr2dPTzsPdDapzVWDlkJG7mN1CWRmWKwICIiBHkGYf9L+2FvZw+VrUrqcsiM8VAIEZGVyivOw97re3WPfZ194aZyk64gsggMFkREVqhEXYLn1j+H7su7Y+3ptVKXQxaEwYKIyAoJCLip3GAnt0MDtwZSl0MWhGMsiIiskMJGgZVDVuLs7bOcVZOMij0WRERW5K/Ev6DWqAEAcpmcoYKMjsGCiMhKrDixAj1X9MSY6DG6cEFkbAwWRERWYHPCZry06SUAgI+jD+Qy/vmnmsFvFhGRhdt1dReGrx8OtVBjXMtxmB8+n7NqUo1hsCAismDHUo5h4OqBKFIXYVCzQVgyaAl7K6hG8dtFRGShEtITEL4yHDnFOejWoBvWDlsLWzlPBqSaxWBBRGSBkrKS0Pvn3kjPT0cb3zbYPGozp+qmWsFgQURkYdLz09FnZR8kZSchyDMI20Zvg4vSReqyyEowWBARWZCcohz0XdUX59PPo55LPewYuwPejt5Sl0VWhMGCiMhCFJYWYvCawTiSfASe9p74Y8wfqO9aX+qyyMowWBARWYhTaadw8OZBOCmcsH3MdgR7BUtdElkhDg8mIrIQ7f3bY8fYHSgqLUI7v3ZSl0NWisGCiMiMCSGQnJMMfxd/AEDngM4SV0TWjodCiIjMlBAC02KmofV3rRGfGi91OUQAGCyIiMxWfkk+9lzfg9v5t3Ey7aTU5RAB4KEQIiKz5ahwROwLsdhxZQeGhQyTuhwiAOyxICIyO2dundHdd1W5MlSQSWGwICIyI0uPL0XYt2GYv3++1KUQPRCDBRGRmVh3Zh1e/t/LEBC4kX0DQgipSyK6D4MFEZEZ+P3C7xj922hohAYT2kzAF+FfQCaTSV0W0X0YLIiITFzMpRgMWzcMpZpSjA4bjf/2/y9DBZksBgsiIhMWeyUWEWsjUKQuQmTzSCyLWAYbuY3UZRFVisGCiMhExV2Nw8DVA1FYWoiBQQOxZtga2Mo5SwCZNgYLIiITtOfaHgz4ZQAKSgvQL7Af1j+3HgobhdRlET0SgwURkYnZn7Qf/X7ph7ySPPRp0gcbhm+A0lYpdVlEVcJgQURkQg7dPIRnVz6L3OJc9GjUAxtHbITKViV1WURVxmBBRGRCjiYfRU5xDro26IrNIzfD3s5e6pKIDMJRQEREJmRS+0nwcvTCs02fhaPCUepyiAzGHgsiIomdu30Odwvu6h4PCxkGJ4WThBURVd9jBYv//Oc/kMlkiIqKMlI5RETW5fSt0+i2rBt6/dwLGfkZUpdD9NiqHSwOHz6M7777Dk888YQx6yEisioylM+gKZexE5nMX7W+xbm5uRg9ejR++OEHuLu7G7smIiKrEeodil0v7sKfY/+Euz3/npL5q1awmDx5Mvr3749evXo9ct2ioiJkZ2frNSIia3Y85Th2Ju7UPQ72CmaoIIth8Fkha9aswbFjx3D48OEqrT937lx8+OGHBhdGRGSJjiYfRa+fe6GotAh/jfsLT9Z7UuqSiIzKoB6LpKQkTJ06FatWrYJKVbUJW2bMmIGsrCxdS0pKqlahRETm7vDNw+i5oicyCzPRyqcVQrxCpC6JyOhkQghR1ZU3btyIyMhI2NiUX1lPrVZDJpNBLpejqKhI77kHyc7OhqurK7KysuDi4lL9yomIzMjBGwfRZ2UfZBdlo0tAF2wbvQ3OSmepyyKqsqr+fht0KKRnz544deqU3rLx48ejefPmePfddx8ZKoiIrNGBpAMIXxmOnOIcPF3/aWx5fgtDBVksg4KFs7MzWrRoobfM0dERnp6e9y0nIiJg3/V9eHaV9tof3Rp0w+/P/87Jr8ii8aRpIqIasvvaboSvDEducS66N+yOLc9vYaggi/fY1wqJi4szQhlERJYl5lIMItdGoqC0AD0b9cTmUZvhYOcgdVlENY49FkRERrbp/CYMWjMIBaUF6BfYD/8b9T+GCrIavLopEZERHbxxEEPXDYVaqDE0eCh+GfoLFDYKqcsiqjUMFkRERtTOrx1GtBgBuUyOpYOXwlbOP7NkXfiNJyIyAiEEZDIZbOQ2WB6xHDJo7xNZG46xICJ6TJ/v/xwvbHwBao0aAGArt2WoIKvFHgsiosdwMeMiZsTOQKmmFEODhyKieYTUJRFJisGCiOgxBHoGYtWQVbh05xJDBREYLIiIDKYRGqTlpsHX2RcAMDx0uMQVEZkOjrEgIjJAsboYo38bjU4/dsKN7BtSl0NkcthjQURURfkl+Ri2bhi2XdoGW7ktjqccRz2XelKXRWRSGCyIiKogszATA34ZgH1J+2Bva48Nwzegb2BfqcsiMjkMFkREj5Cam4pnVz6LE2kn4Kp0xZbnt6BL/S5Sl0VkkhgsiIge4mrmVfT+uTcu3bmEuo51ETMmBi19WkpdFpHJYrAgIqrE2dtn0fvn3kjOSUZDt4bYMXYHmno0lbosIpPGYEFE9ACHbh5C31V9cafgDkK9QhEzJgb+Lv5Sl0Vk8hgsiIjuEXslFoPXDEZeSR46+nfE1tFb4WHvIXVZRGaBwYKIqII/r/yJfqv6oURTgl6NeyF6RDScFE5Sl0VkNhgsiIgq6ODfAaHeoQj0CMTPkT9DaauUuiQis8JgQURWTwgBAJDJZHBRuuCvF/6Cq8oVchknJyYyFP+vISKrVqwuxpjoMZh/YL5umbu9O0MFUTXx/xwismobz2/EL6d+wXux7+Fq5lWpyyEyezwUQkRWbXjocJxMO4mn6j+Fhm4NpS6HyOwxWBCR1bl05xK8HLzgqnIFAHzU4yOJKyKyHDwUQkRW5dDNQ+j0YydEro1EUWmR1OUQWRwGCyKyGv9L+B+6L++O9Px0ZBdlI6c4R+qSiCwOgwURWYWvD36NiLURyC/JR3iTcMS9GIc6DnWkLovI4jBYEJFFU2vUeHP7m3hj+xvQCA1eafMK/jfqf5xNk6iGcPAmEVms/JJ8jP5tNDae3wgA+E/P/+CfXf4JmUwmbWFEFozBgogsUlpuGgatGYRDNw9BYaPAiogVGNFihNRlEVk8Bgsisjjn08+j36p+SMxMhIe9BzaN3ISn6j8ldVlEVoHBgogsyq6ruxCxNgKZhZlo4t4EW0dvRZBnkNRlEVkNBgsishilmlJM3DIRmYWZ6FSvEzaN3AQvRy+pyyKyKjwrhIgshq3cFtEjovGP1v9A7AuxDBVEEmCwICKzll+Sjx2Xd+geN6/THEsGLYG9nb2EVRFZLwYLIjJbWYVZ6Lq0K/r90g9/Jf4ldTlEBAYLIjJjLkoXNKvTDK5KV9jJ7aQuh4jAwZtEZIY0QgO5TA6ZTIYfB/2I1NxUXvKcyESwx4KIzIYQAnN2zcHw9cOhERoAgMpWxVBBZELYY0FEZqGgpAAvbX4Ja06vAQBsv7Qd/QL7SVwVEd2LwYKITF5KTgoi10bi4M2DsJXb4r/9/stQQWSiGCyIyKQdvHEQkWsjkZKbAneVOzYM34DujbpLXRYRVYLBgohM1tLjSzFxy0QUq4sR4hWCTSM3oalHU6nLIqKHYLAgIpNToi7BtJhp+ObwNwCAiOYRWBGxAs5KZ4krI6JHYbAgIpNyO+82nlv/HHZd2wUA+PCZD/FB1w8gl/EkNiJzwGBBRCbjWMoxRK6NxPWs63BSOGFl5EoMbj5Y6rKIyAAMFkRkEko1pRjx6whcz7qOQI9AbBy5ESFeIVKXRUQGYt8iEZkEW7ktVkauRGTzSBx65RBDBZGZYrAgIsnczruNmEsxuscd63XEbyN+g5vKTbqiiOixMFgQkSSuZV5Dm+/bIGJtBE6knpC6HCIyEgYLIpJEgGsAWni3QEO3hlDYKKQuh4iMhIM3iajW5BXnQS6Tw97OHnKZHL8M+QW2clvOT0FkQdhjQUS14kLGBXRc0hFTtk7RLXO3d2eoILIw7LEgohr327nf8OLGF5FTnIOMggyk5qbCx8lH6rKIqAawx4KIakypphTv/PEOhq4bipziHHRt0BXHXz3OUEFkwdhjQUQ14kb2DTy/4Xnsub4HAPB2p7fxSc9PYGdjJ3FlRFSTGCyIyOi2XdyGsdFjkVGQAWeFM5YOXoqhIUOlLouIagGDBREZTYm6BB/89QE+3f8pAKC1T2usHbYWgZ6BEldGRLWFwYKIjOJ61nWM/HUkDtw4AACY3H4yPu/zOVS2KokrI6LaxGBBRI9t19VdiFwbibuFd+GidMGPg37EsJBhUpdFRBJgsCCix9bQrSEAoJ1fO6wdthaN3RtLWxARSYbBgoiqJaswC64qVwBAA7cG2DluJ4K9gjk9N5GV4zwWRGSwNafXoOHChth6catuWUuflgwVRMRgQUSG+/vG38gszMTiI4ulLoWITAwPhRBRlag1atjIbQAA/+n1HzRxb4JJ7SdJXBURmRqDeizmzp2L9u3bw9nZGd7e3oiIiEBCQkJN1UZEJkCtUWPOrjno9XMvlGpKAQAqWxVe7/g6bOX8twkR6TMoWOzatQuTJ0/G33//jR07dqCkpAR9+vRBXl5eTdVHRBK6lnkNzyx/Bv+K+xfirsZh0/lNUpdERCZOJoQQ1d349u3b8Pb2xq5du9C1a9cqbZOdnQ1XV1dkZWXBxcWlum9NRDVszek1mPj7RGQVZcFZ4YxF/RZhzBNjIJPJpC6NiCRQ1d/vx+rHzMrKAgB4eHhUuk5RURGKior0CiMi05VdlI3Xt72OFSdWAACerPckVg1ZxbkpiKhKqn1WiEajQVRUFLp06YIWLVpUut7cuXPh6uqqawEBAdV9SyKqYTsTdyLs2zCsOLECcpkcM7vOxO4XdzNUEFGVVftQyKRJk7Bt2zbs3bsX9erVq3S9B/VYBAQE8FAIkQnJL8nHjD9n4KtDXwEAGrs3xvKI5Xiq/lMSV0ZEpqJGD4VMmTIFv//+O3bv3v3QUAEASqUSSqWyOm9DRLXg0M1DeCH6BSRkaM/werXtq/i8z+dwUjhJXBkRmSODgoUQAq+//jqio6MRFxeHRo0a1VRdRFQLfr/wOyLWREAt1PBz9sOPg37Es02flbosIjJjBgWLyZMn45dffsGmTZvg7OyM1NRUAICrqyvs7e1rpEAiqjndG3ZHQ7eG6ODfAd/0+wYe9pUPxCYiqgqDxlhUdprZ0qVL8eKLL1bpNXi6KZF01Bo11p5Zi5EtRkIu047dvlNwh4GCiB6pRsZYPMaUF0QkMSEE+q7qix1XdiA9Px1vdHwDABgqiMioeBEyIishk8kQ0TwCzgpnuCpdpS6HiCzUY828WR08FEJUe46nHEd+ST661O8CANAIDdJy0+Dr7CtxZURkNEIAubnAnTtARob2tkcPQG7cvoNamXmTiExTYWkh5uyag3n75iHANQCnJp2Ck8IJcpmcoYLIlBUUlIeDjIzK71e8vXMHKCnRf52MDOAhs2LXJAYLIgtzIOkAXtr8Es6nnwcAtPNrh6LSIs5LQVSb1Grg7t3yQHBvqxgWKi4rKKj+eyqVgKenNlDk5zNYENHjySvOw8ydM7Hg7wUQEKjrWBf/7f9fDAkeInVpROatsFA/AKSn3x8K7l2Wmak9RFEdNjblAcHTs7yVPa7s1t4eMIGLBDJYEFmArRe34rUtr+Fa1jUAwLiW4/BF+Bc844OoIiG0/5IvCwH33la2LC+v+u/p6np/QLg3KNy7zMXFJAJCdTFYEJmx5JxkRG2Pwvqz6wEA9V3rY3H/xegb2FfiyohqQUGBNgBUbGWhoLJlhYXVe6+yXgRPT6BOnQcHhXufc3cH7OyM+5nNAIMFkRlSa9RYfGQx3vvrPWQXZcNGZoM3n3wTs5+ZDUeFo9TlERmupEQ/ANy+fX9AuLfl51fvvRQK/QBQdv/e24r3XV3NuhehNjFYEJkZIQTCV4YjNjEWANDBvwO+G/AdWvm0krYwojJCADk52nBQMSCU3b/3Nj1dOyahOuzstD/+Zc3TE/DyKg8FFcNCWXN0ZEioQQwWRGZGJpOhf2B/HE4+jLk95+LVtq/CRm4jdVlkyTQa7RkLZUHh3lYWEio+Li42/H1ksvtDQJ062qBQMTRUfM7ZmSHBxHCCLCITJ4TA5oTN8LD3wNMNngYAlGpKcTvvNuekoOpRq7WHHcqCwK1b+sHg3scZGdpwYSgHh/IgUDEQ3LusrIfBw0M7loFMEifIIrIQ3x/9HhO3TESgRyBOTjoJla0KtnJbhgoqp9Fo50y4das8FDzsNiOjeqdCurvrh4F7W8XldepogwVZHQYLIhM3ssVIfLL3EwwNHsoLAVqTvDxtCEhLKw8M97aKgUGtNvw9yg4tlDVv78ofe3pa5RkOZDgGCyITIoTAujPrsClhE1YNWQWZTAZXlSsSpiRAZauSujx6HBqNtqegYli497aspaVV74wHN7fyQFAWCiq77+kJ2PIngIyP3yoiE3H61mm8vu11xF2NAwBENo/Ec6HPAQBDhakqKdH2FqSlVd7KgsLt24aPU1CpgLp19QPBvY8r3lcoauZzEhmAwYJIYlmFWZgdNxtfH/oaaqGGylaF9556DwOCBkhdmnUqCwupqeXhoOL9io8zMgx/fU9PbRAoCwj33lZsTk4844HMDoMFkURKNaX48diP+Ffcv3Ar7xYAYEjwEMzvMx8N3RpKW5ylKTsMkZpa3soCwr3309MNe20bm/KehIqtLCxUbHXqcJwCWTwGCyIJxFyKwVt/vIUzt88AAJp5NsNXfb9CnyZ9JK7MzOTnAykp2paaWn57b0tLM2xwY1lY8PEpDwWV3ff0BOTymvuMRGaGwYKoFp25dQZv73gb2y9tBwB42HtgdrfZmNhuIuxs+C9ZANrTIO/cKQ8MFVvF8JCSop3d0RB16pSHAh+f8nbvY4YFompjsCCqBUIIvL7tdXx75FtohAZ2cju83uF1fND1A7jbu0tdXu3QaLSHGZKTtaHg3tuK4cGQWRvt7QFfX23z8Sm/vbd5e/MwBFEtYLAgqgUymQxqjRoaocGQ4CGY12semno0lbos4xBCO34hOfnhLS0NKC2t+ut6eJQHhoqtLDyU3eeUzkQmhVN6E9UAtUaNX079glY+rRBWNwwAcCvvFs6nn0fXBl0lrs4AOTnaUHDz5oNvy3obqtrDIJNpew58fQE/P/3biq1uXUCprNnPRkQG4ZTeRBKa/ud0fH7gc/QL7Ictz28BAHg7esPb0Vviyv6fWq095HDzZuUtOdmwMQxeXtqQcG+rGB7q1uXhCCILx2BBZCQl6hLdAMwJbSdg+Ynl6Fq/KzRCA7msFgcCFhZqQ8GNG9p28+b991NSqj5Zk4sL4O+vDQf33pbdr1uXkzMREQAGC6LHdjLtJN6LfQ8e9h5YEbkCABDoGYikN5OgtDVyd35BQXlIuHEDSEq6/35V52GwsdH2Ivj7V978/LSTNBERVRGDBVE1Xbl7BbPiZmHVyVUQELCT22Fer3m6q44aHCqKi7U9CklJlbeqzvRob68NBvXqlbeyx2W33t68RDURGR2DBZGBrmddx9w9c/Hj8R9RoikBAAwPHY453edUfilzIbQ9CdevP7glJWnHPFRlLLWDAxAQoA0HZbdl9/39tbfu7jxTgogkwWBBVEVJWUn4ZM8neoGid+PemNtzLtrWCdMehji5E7h2TRsWrl0rv5+UpB378ChKZXlIKGv16+sHCTc3hgYiMlkMFkSPcCP7Bj7Z+W8sObkUJRrtPAzd1fUx+0ZTdI3JBaYP0g6GrEpvg6+vNiiUtYrBoX597ZkVDA1EZMYYLIgA7aDIq1eBxETt7dWruHnjHOYqD+GHgFso/v+hCM8kArPjgG7XrgO4rv8aKlV5YGjQQNvK7tevrz1MwbkZiMjCMViQdSgp0R6OSEwErlwpDxFlLS3tvk3ONwIWjdPe73oV+PCgPZ6xbQo80RAY+P/BoWHD8vDg7c3eBiKyegwWZBnKLlx15Up5KwsRV65oxzk84uqW5xs44HRwHQxTtAIaNkSPhg0xVRGLwUGD0P2N5zi2gYioChgsyHyo1drTMS9ffnDLynr49kol0KiRfmvYEGjUCIcd7qLjuj5wUtxFrzeXw03lBhmABXizNj4ZEZHFYLAg01Jaqj2T4tKl8nbxovY2MfHR16Tw8wMaNy5vjRqV3/fx0V0KWwiBpOwk1HetDwBoKzQIqxuGRm6NkFWYBTeVWw1/UCIiy8RgQbVPrdaOd7hwobyVhYjExIdfAdPOThsWmjS5vzVqpJ0Y6iE0QoNN5zdh7t65uHL3Cq5FXYOjwhFymRx//+Nv2Ns9fHsiIno4BguqGWUTQiUk6AeIshBRVFT5tiqVNig0bQoEBmpvy1q9etWaLTKvOA/LTyzHwoMLcSHjgvZtbFU4dPMQujfqDgAMFURERsBgQY+npEQ7OPL8eW2IOH++vN29W/l2dnbaoBAUpA0PQUHl4cHfX3fI4nHdyL6Bbw59g++Pfo+7hdp6XJWumNJhCt7o+IbpXG2UiMhCMFhQ1eTna8PCuXPA2bPadv68tvehskMXMpn2VMxmzfQDRFCQ9vTMGrxOxeGbh/Hl319i/dn1KP3/Sa2auDfB1I5T8WKrF+GsdK6x9yYismYMFqQvJ6c8OJS1c+e08z5UNrOko6M2PDRrBjRvrm3NmmmDhINDrZVeqinFxvMb8eXfX2J/0n7d8m4NuuHNJ9/EgKABsJHzoltERDWJwcJaFRVpD12cPg2cOqW9PX1aGyAq4+UFBAcDISHa1ry59rG/v0nM77Dm9BqMjR4LALCT22Fki5GIejIKbXzbSFwZEZH1YLCwdEJoL4514kR5O31aO4iysgmjfHyA0NDyABESog0QXl61W/tDCCGw5/oeFJQUILxpOAAgsnkkmno0xYjQEZjcfnLlVxolIqIaw2BhSQoLgTNntOHh5MnyIFHZIEo3N6BFi/IWFqYNFJ6etVp2dfx88meM2zgOwXWCcabJGchkMjgqHJEwJQFymXEGfhIRkeEYLMxVXp42NBw9Chw7pm1nzjy4F8LWVnvYomVLbXviCW2Q8PMziUMYVXE85Thyi3PxdIOnAQARzSPg7eiNp+o/hfySfDgqHAGAoYKISGIMFuYgJ6c8PBw7pg0TCQmARnP/uh4e5QGirIWEmOVVNTPyM7Dq1CosjV+K+NR4tPFtgyOvHIFMJoOL0gVJbyZBYaOQukwiIqqAwcLUqNXanoeDB8vb2bMPDhG+vkCbNkDbttrbNm20E0iZSS/Eg6g1avxx+Q/8FP8TNidsRrFaO4W3wkaBQI9AFJQWwMHOQbeMiIhMC4OF1FJSgP37gUOHtCHiyBHtYY57+fsD7drphwhfyxmceCHjApYeX4oVJ1cgOSdZt7y1T2uMbzUez4c9D08H0x/7QURk7RgsapMQ2gtq7dmjbXv3aq/KeS8nJ6B9e6BjR23r0EE7HsLCpOen49ezv2LlyZXYl7RPt9zT3hOjw0ZjfOvxaOXTSroCiYjIYAwWNam0FIiP1waIsiBx65b+OjKZ9myMshDRsaP21M4anJXSFGiEBi0Xt9T1TshlcvRt2hfjW43HgKABUNqa35gQIiJisDAuIbTzQ+zYoW07d2oHXlakVGp7IJ5+GnjqKaBzZ8DVVZp6a0mJugRbL27F1otb8e2AbyGXySGXyRHZPBIHbhzAqBaj8HzY8/BztrxeGSIiayMTorJ5mmtGdnY2XF1dkZWVBRcXl9p865px+zbw55/atmOH9nLgFbm5AV26aEPE009rx0mY4RkahhJCQPb/g0gLSwvh87kPsoqyEDcuDt0adgOgDRx2NnZSlklERFVU1d9v9lgYSqPRDrLctAmIidEe6qhIodCGiN69gV69gNatLf6wRpn8knzEXIrBb+d/w5lbZ3B0wlHIZDKobFWY1G4SitRFqOdST7c+QwURkeVhsKiKkhJg1y4gOlrbUlL0n3/iCW2Q6N1b2ytRixfeklpmYSZ+v/A7os9HY9vFbSgoLdA9F58aj9a+rQEAc3vNlapEIiKqRQwWlSkoAP74QxskNm/Wnxbb2RkYMADo31/bK1G3rnR1SuBa5jVsvbgVmxI2ITYxVndZcgBo6NYQQ5oPwZDgIXii7hMSVklERFJgsKhIo9Ee3vjpJ2DrViA/v/y5OnWAiAhgyBCgRw+rGCdRRgiBuKtx2gGYl7bi7O2zes+HeoViSLA2TLSs21I3toKIiKwPgwUAZGQAS5cC334LXLlSvjwgQBskIiO14yasZKwEoD3E4aZyAwDIZDJM3joZ59LPAQBsZDboHNAZ/QL7IbJ5JJrVaSZhpUREZEqsO1gcOQIsWgSsWaO9MiigPfVz3Dhg7FjtLJdW9q/v9Px09FjeA1fuXkH6P9OhslUBAMY8MQYXMi6gX2A/9G7cG+727hJXSkREpsj6gkVBAbBunTZQHD5cvrxVK2DyZGDUKMDRUbLyakt+ST72J+3HX4l/wVZui393/zcA7ayXt/NvI78kH8dSjqFzQGcAwHtPvydluUREZCasK1gsXw5MmwbcuaN9rFAAw4cDr70GPPmkRfdO5BTl4NDNQ9h7fS92Xt2JAzcO6C7w5eXghQ+f+RAymQwymQzRI6LRxL0JvBy9JK6aiIjMjfUEi++/B159VXu/QQNg4kTgpZcAb29p66oBQghcz7qOfUn7sD9pP/Yl7cPJtJPQCP0rpPo7+6Nn457o0bAHSjWlunklnqz3pBRlExGRBbCOYPHDD+WhIioK+PxzixqIWXGWy0M3DyFybaTeFULL1Hetjy4BXfB0/afRs3FPBHoE8gwOIiIyKssPFkuWABMmaO9PnQp88YXFHPJYcmwJ5h+Yj+Ehw/Fh9w8BAA1cGyA5Jxm2clu09mmNzgGd0SWgCzoFdNKb9ZKIiKgmWHaw+PFH4JVXtPenTgW+/NJsQoVao8aVu1dw9vZZnLl9BqduncKxlGNYO2yt7lLixepinE8/j8PJ5YNQ6zrVxf6X9qOlT0s42FnPDKBERGQaLDdY/PRTeah44w2TDRVqjRqJmYnaAHHrDM7c1rbz6edRWFp43/pHko/ogsXAoIFo5NYIbXzb6K3TKaBTbZRORER0n2oFi0WLFuGzzz5DamoqWrZsia+//hodOnQwdm3Vt3Qp8PLL2suYv/46sGCBpKGiqLQIl+9eRl5xHtr7t9ctb/d9O5xMO4kSTckDt1PZqhBcJxih3qEI9QpFG982aO9Xvn2AawACXANqvH4iIqKqMjhYrF27FtOmTcPixYvRsWNHLFiwAOHh4UhISIC3KZxhsWwZ8I9/aEPFlCnAwoU1GiqK1cVIzknGjewbuJl9EzdzbuJm9k0MCBqA7o26AwD+SvwL/X7phxbeLXBq0indtiWaEpRoSqCyVaF5neYI9dIGiBCvEIR6h6KRWyPYyC1nkCkREVk+g4PFF198gVdeeQXjx48HACxevBhbtmzBTz/9hOnTpxu9QIMsX649hVQI7WRXX31lUKgo1ZQiszATJeoS+Dr76pYvi1+GK3evICM/A+kF6drb/HQk5yTjdv7tB76Wm8pNFyyaeDSBi9JFN0V2mZWRK+GqcoW/sz8DBBERWQSDgkVxcTGOHj2KGTNm6JbJ5XL06tULBw4ceOA2RUVFKCoq0j3Ozs6uZqmPsHw5Zi97Ebf6AaUtQlDaKQ+lG8ehVFOKUk0p1EKNUk0pitXFyC3ORV5xHnKLc/HPLv/Ey21eBgAcvnkYnX/qjCDPICRMSdC99MKDCxGfGl/pWyttlPB38Ye/s7/utuI4h0CPQGS+m3nfqZ1hdcOMuw+IiIgkZlCwSE9Ph1qtRt17LhNet25dnD9//oHbzJ07Fx9++GH1K6yKpCRgwgSsnAhc9gCAs0D82UdtBQBIzU3V3XdUaKfyzivO01tnaPBQdKrXCXUc6sDT3lN76+AJXydf+Lv4w9Pe86HzQXCuCCIishY1flbIjBkzMG3aNN3j7OxsBAQYecBhQACwahVeP/gVMrv2gK2NHWzltrCR28BWbqvX7OR2cFQ4wknhBEc7RzR2b6x7mRbeLVA6s/S+wxIfdP3AuPUSERFZKIOCRZ06dWBjY4O0tDS95WlpafDx8XngNkqlEkqlsvoVVtWwYZg6bNhjvYRcJgfYuUBERFRtckNWVigUaNu2LWJjY3XLNBoNYmNj0akT504gIiKydgYfCpk2bRrGjRuHdu3aoUOHDliwYAHy8vJ0Z4kQERGR9TI4WIwYMQK3b9/Gv/71L6SmpqJVq1bYvn37fQM6iYiIyPrIhBCiNt8wOzsbrq6uyMrKgouLS22+NREREVVTVX+/DRpjQURERPQwDBZERERkNAwWREREZDQMFkRERGQ0DBZERERkNAwWREREZDQMFkRERGQ0DBZERERkNAwWREREZDQ1ftn0e5VN9JmdnV3bb01ERETVVPa7/agJu2s9WOTk5AAAAgICavutiYiI6DHl5OTA1dW10udr/VohGo0GycnJcHZ2hkwmM9rrZmdnIyAgAElJSbwGySNwX1Ud95VhuL+qjvuq6rivqq4m95UQAjk5OfDz84NcXvlIilrvsZDL5ahXr16Nvb6Liwu/eFXEfVV13FeG4f6qOu6rquO+qrqa2lcP66kow8GbREREZDQMFkRERGQ0FhMslEolZs2aBaVSKXUpJo/7quq4rwzD/VV13FdVx31Vdaawr2p98CYRERFZLovpsSAiIiLpMVgQERGR0TBYEBERkdEwWBAREZHRmFWwWLRoERo2bAiVSoWOHTvi0KFDD11//fr1aN68OVQqFcLCwrB169ZaqlR6huyrZcuWQSaT6TWVSlWL1Upn9+7dGDhwIPz8/CCTybBx48ZHbhMXF4c2bdpAqVSiadOmWLZsWY3XaQoM3VdxcXH3fa9kMhlSU1Nrp2AJzZ07F+3bt4ezszO8vb0RERGBhISER25njX+zqrOvrPVv1rfffosnnnhCN/lVp06dsG3btoduI8V3ymyCxdq1azFt2jTMmjULx44dQ8uWLREeHo5bt249cP39+/dj1KhR+Mc//oHjx48jIiICEREROH36dC1XXvsM3VeAdpa2lJQUXbt27VotViydvLw8tGzZEosWLarS+omJiejfvz+6d++O+Ph4REVF4eWXX0ZMTEwNVyo9Q/dVmYSEBL3vlre3dw1VaDp27dqFyZMn4++//8aOHTtQUlKCPn36IC8vr9JtrPVvVnX2FWCdf7Pq1auH//znPzh69CiOHDmCHj16YPDgwThz5swD15fsOyXMRIcOHcTkyZN1j9VqtfDz8xNz58594PrDhw8X/fv311vWsWNH8eqrr9ZonabA0H21dOlS4erqWkvVmS4AIjo6+qHr/POf/xShoaF6y0aMGCHCw8NrsDLTU5V9tXPnTgFA3L17t1ZqMmW3bt0SAMSuXbsqXcea/2ZVVJV9xb9Z5dzd3cWSJUse+JxU3ymz6LEoLi7G0aNH0atXL90yuVyOXr164cCBAw/c5sCBA3rrA0B4eHil61uK6uwrAMjNzUWDBg0QEBDw0ARs7az1e/U4WrVqBV9fX/Tu3Rv79u2TuhxJZGVlAQA8PDwqXYffLa2q7CuAf7PUajXWrFmDvLw8dOrU6YHrSPWdMotgkZ6eDrVajbp16+otr1u3bqXHa1NTUw1a31JUZ181a9YMP/30EzZt2oSVK1dCo9Ggc+fOuHHjRm2UbFYq+15lZ2ejoKBAoqpMk6+vLxYvXowNGzZgw4YNCAgIwDPPPINjx45JXVqt0mg0iIqKQpcuXdCiRYtK17PWv1kVVXVfWfPfrFOnTsHJyQlKpRITJ05EdHQ0QkJCHriuVN+pWr+6KZmeTp066SXezp07Izg4GN999x3mzJkjYWVkzpo1a4ZmzZrpHnfu3BmXL1/Gl19+iZ9//lnCymrX5MmTcfr0aezdu1fqUkxeVfeVNf/NatasGeLj45GVlYVff/0V48aNw65duyoNF1Iwix6LOnXqwMbGBmlpaXrL09LS4OPj88BtfHx8DFrfUlRnX93Lzs4OrVu3xqVLl2qiRLNW2ffKxcUF9vb2ElVlPjp06GBV36spU6bg999/x86dO1GvXr2Hrmutf7PKGLKv7mVNf7MUCgWaNm2Ktm3bYu7cuWjZsiUWLlz4wHWl+k6ZRbBQKBRo27YtYmNjdcs0Gg1iY2MrPbbUqVMnvfUBYMeOHZWubymqs6/upVarcerUKfj6+tZUmWbLWr9XxhIfH28V3yshBKZMmYLo6Gj89ddfaNSo0SO3sdbvVnX21b2s+W+WRqNBUVHRA5+T7DtVo0NDjWjNmjVCqVSKZcuWibNnz4oJEyYINzc3kZqaKoQQYuzYsWL69Om69fft2ydsbW3F559/Ls6dOydmzZol7OzsxKlTp6T6CLXG0H314YcfipiYGHH58mVx9OhRMXLkSKFSqcSZM2ek+gi1JicnRxw/flwcP35cABBffPGFOH78uLh27ZoQQojp06eLsWPH6ta/cuWKcHBwEO+88444d+6cWLRokbCxsRHbt2+X6iPUGkP31Zdffik2btwoLl68KE6dOiWmTp0q5HK5+PPPP6X6CLVm0qRJwtXVVcTFxYmUlBRdy8/P163Dv1la1dlX1vo3a/r06WLXrl0iMTFRnDx5UkyfPl3IZDLxxx9/CCFM5ztlNsFCCCG+/vprUb9+faFQKESHDh3E33//rXuuW7duYty4cXrrr1u3TgQFBQmFQiFCQ0PFli1barli6Riyr6KionTr1q1bV/Tr108cO3ZMgqprX9kpkfe2sv0zbtw40a1bt/u2adWqlVAoFKJx48Zi6dKltV63FAzdV/PmzRNNmjQRKpVKeHh4iGeeeUb89ddf0hRfyx60nwDofVf4N0urOvvKWv9mvfTSS6JBgwZCoVAILy8v0bNnT12oEMJ0vlO8bDoREREZjVmMsSAiIiLzwGBBRERERsNgQUREREbDYEFERERGw2BBRERERsNgQUREREbDYEFERERGw2BBRERERsNgQUREREbDYEFERERGw2BBRERERsNgQUREREbzf/oS94ph75/+AAAAAElFTkSuQmCC",
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"xt = np.linspace(0, 3, num=50)\n",
|
||
"sqrt = np.sqrt(xt)\n",
|
||
"square = np.square(xt)\n",
|
||
"\n",
|
||
"plt.plot(xt, sqrt, color='r', label=\"Square Root\")\n",
|
||
"plt.plot(xt, square, color='g', label=\"Square Function\", linestyle=\"dashdot\")\n",
|
||
"plt.legend()\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"id": "20b2826a-eca2-4aa8-baaf-23c1b8a764a9",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"============================================================\n",
|
||
"AUFGABENSTELLUNG\n",
|
||
"============================================================\n",
|
||
"Kreis mit Radius r = 3 cm\n",
|
||
"AB ist ein Durchmesser\n",
|
||
"Winkel BAC = 85°\n",
|
||
"\n",
|
||
"============================================================\n",
|
||
"THEORETISCHE GRUNDLAGE\n",
|
||
"============================================================\n",
|
||
"Satz des Thales:\n",
|
||
"Da AB ein Durchmesser ist und C auf dem Kreis liegt,\n",
|
||
"gilt: Winkel ACB = 90°\n",
|
||
"\n",
|
||
"============================================================\n",
|
||
"WINKELBERECHNUNG\n",
|
||
"============================================================\n",
|
||
"Winkelsumme im Dreieck = 180°\n",
|
||
"Winkel BAC = 85°\n",
|
||
"Winkel ACB = 90° (Thales)\n",
|
||
"Winkel ABC = 180° - 85° - 90° = 5°\n",
|
||
"\n",
|
||
"============================================================\n",
|
||
"SEITENLÄNGEN-BERECHNUNG\n",
|
||
"============================================================\n",
|
||
"AC liegt gegenüber von Winkel ABC = 5°\n",
|
||
"AC = AB × sin(ABC) = 6 × sin(5°)\n",
|
||
"AC = 6*sin(pi/36)\n",
|
||
"AC ≈ 0.52 cm\n",
|
||
"\n",
|
||
"BC liegt gegenüber von Winkel BAC = 85°\n",
|
||
"BC = AB × sin(BAC) = 6 × sin(85°)\n",
|
||
"BC = 6*sin(17*pi/36)\n",
|
||
"BC ≈ 5.98 cm\n",
|
||
"\n",
|
||
"============================================================\n",
|
||
"KONTROLLE (Satz des Pythagoras)\n",
|
||
"============================================================\n",
|
||
"AC² + BC² = AB²\n",
|
||
"0.5229² + 5.9772² = 6²\n",
|
||
"0.2735 + 35.7265 = 36\n",
|
||
"36.0000 = 36\n",
|
||
"√(AC² + BC²) = 6.0000 ≈ 6 ✓\n",
|
||
"\n",
|
||
"============================================================\n",
|
||
"ERGEBNIS\n",
|
||
"============================================================\n",
|
||
"AC = 0.52 cm\n",
|
||
"BC = 5.98 cm\n",
|
||
"============================================================\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "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",
|
||
"text/plain": [
|
||
"<Figure size 1000x1000 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"Die Visualisierung zeigt das Dreieck ABC auf dem Kreis.\n",
|
||
"Der rechte Winkel bei C ist durch ein kleines Quadrat markiert.\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"import sympy as sp\n",
|
||
"import numpy as np\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"from matplotlib.patches import Circle\n",
|
||
"\n",
|
||
"# Gegeben\n",
|
||
"r = 3 # Radius in cm\n",
|
||
"winkel_BAC = 85 # in Grad\n",
|
||
"\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(\"AUFGABENSTELLUNG\")\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(f\"Kreis mit Radius r = {r} cm\")\n",
|
||
"print(f\"AB ist ein Durchmesser\")\n",
|
||
"print(f\"Winkel BAC = {winkel_BAC}°\")\n",
|
||
"print()\n",
|
||
"\n",
|
||
"# WICHTIGE EIGENSCHAFT: Thaleskreis\n",
|
||
"# Wenn AB ein Durchmesser ist, dann liegt C auf dem Kreis,\n",
|
||
"# und nach dem Satz des Thales gilt: Winkel ACB = 90°\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(\"THEORETISCHE GRUNDLAGE\")\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(\"Satz des Thales:\")\n",
|
||
"print(\"Da AB ein Durchmesser ist und C auf dem Kreis liegt,\")\n",
|
||
"print(\"gilt: Winkel ACB = 90°\")\n",
|
||
"print()\n",
|
||
"\n",
|
||
"# Im Dreieck ABC gilt:\n",
|
||
"# - AB = 2r (Durchmesser)\n",
|
||
"# - Winkel ACB = 90° (Thaleskreis)\n",
|
||
"# - Winkel BAC = 85°\n",
|
||
"# - Daraus folgt: Winkel ABC = 180° - 90° - 85° = 5°\n",
|
||
"\n",
|
||
"AB = 2 * r\n",
|
||
"winkel_ACB = 90\n",
|
||
"winkel_ABC = 180 - winkel_ACB - winkel_BAC\n",
|
||
"\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(\"WINKELBERECHNUNG\")\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(f\"Winkelsumme im Dreieck = 180°\")\n",
|
||
"print(f\"Winkel BAC = {winkel_BAC}°\")\n",
|
||
"print(f\"Winkel ACB = {winkel_ACB}° (Thales)\")\n",
|
||
"print(f\"Winkel ABC = 180° - {winkel_BAC}° - {winkel_ACB}° = {winkel_ABC}°\")\n",
|
||
"print()\n",
|
||
"\n",
|
||
"# Berechnung mit SymPy\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(\"SEITENLÄNGEN-BERECHNUNG\")\n",
|
||
"print(\"=\" * 60)\n",
|
||
"\n",
|
||
"# Umrechnung in Radiant für SymPy\n",
|
||
"alpha_rad = sp.rad(winkel_BAC) # Winkel bei A\n",
|
||
"beta_rad = sp.rad(winkel_ABC) # Winkel bei B\n",
|
||
"\n",
|
||
"# Sinussatz oder direkte Berechnung im rechtwinkligen Dreieck:\n",
|
||
"# Im rechtwinkligen Dreieck mit Hypotenuse AB:\n",
|
||
"# AC / AB = sin(Winkel ABC) = sin(5°)\n",
|
||
"# BC / AB = sin(Winkel BAC) = sin(85°)\n",
|
||
"\n",
|
||
"# AC liegt gegenüber von Winkel ABC\n",
|
||
"AC_sympy = AB * sp.sin(beta_rad)\n",
|
||
"AC_exact = AC_sympy\n",
|
||
"AC_numerical = float(AC_sympy.evalf())\n",
|
||
"\n",
|
||
"print(f\"AC liegt gegenüber von Winkel ABC = {winkel_ABC}°\")\n",
|
||
"print(f\"AC = AB × sin(ABC) = {AB} × sin({winkel_ABC}°)\")\n",
|
||
"print(f\"AC = {AC_exact}\")\n",
|
||
"print(f\"AC ≈ {AC_numerical:.2f} cm\")\n",
|
||
"print()\n",
|
||
"\n",
|
||
"# BC liegt gegenüber von Winkel BAC\n",
|
||
"BC_sympy = AB * sp.sin(alpha_rad)\n",
|
||
"BC_exact = BC_sympy\n",
|
||
"BC_numerical = float(BC_sympy.evalf())\n",
|
||
"\n",
|
||
"print(f\"BC liegt gegenüber von Winkel BAC = {winkel_BAC}°\")\n",
|
||
"print(f\"BC = AB × sin(BAC) = {AB} × sin({winkel_BAC}°)\")\n",
|
||
"print(f\"BC = {BC_exact}\")\n",
|
||
"print(f\"BC ≈ {BC_numerical:.2f} cm\")\n",
|
||
"print()\n",
|
||
"\n",
|
||
"# Kontrolle mit Pythagoras\n",
|
||
"pythagoras_check = sp.sqrt(AC_sympy**2 + BC_sympy**2)\n",
|
||
"pythagoras_numerical = float(pythagoras_check.evalf())\n",
|
||
"\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(\"KONTROLLE (Satz des Pythagoras)\")\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(f\"AC² + BC² = AB²\")\n",
|
||
"print(f\"{AC_numerical:.4f}² + {BC_numerical:.4f}² = {AB}²\")\n",
|
||
"print(f\"{AC_numerical**2:.4f} + {BC_numerical**2:.4f} = {AB**2}\")\n",
|
||
"print(f\"{AC_numerical**2 + BC_numerical**2:.4f} = {AB**2}\")\n",
|
||
"print(f\"√(AC² + BC²) = {pythagoras_numerical:.4f} ≈ {AB} ✓\")\n",
|
||
"print()\n",
|
||
"\n",
|
||
"# VISUALISIERUNG\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(\"ERGEBNIS\")\n",
|
||
"print(\"=\" * 60)\n",
|
||
"print(f\"AC = {AC_numerical:.2f} cm\")\n",
|
||
"print(f\"BC = {BC_numerical:.2f} cm\")\n",
|
||
"print(\"=\" * 60)\n",
|
||
"\n",
|
||
"# Plotten\n",
|
||
"fig, ax = plt.subplots(1, 1, figsize=(10, 10))\n",
|
||
"\n",
|
||
"# Kreis zeichnen\n",
|
||
"circle = Circle((0, 0), r, fill=False, edgecolor='blue', linewidth=2, label='Kreis')\n",
|
||
"ax.add_patch(circle)\n",
|
||
"\n",
|
||
"# Punkte festlegen\n",
|
||
"# A auf der linken Seite, B auf der rechten Seite (Durchmesser horizontal)\n",
|
||
"A = np.array([-r, 0])\n",
|
||
"B = np.array([r, 0])\n",
|
||
"\n",
|
||
"# C auf dem Kreis mit Winkel BAC = 85°\n",
|
||
"# Wir berechnen die Position von C\n",
|
||
"# C liegt so, dass Winkel ACB = 90° (Thaleskreis)\n",
|
||
"# und Winkel BAC = 85°\n",
|
||
"\n",
|
||
"# Verwende die berechneten Koordinaten:\n",
|
||
"# Setze A = (-3, 0), B = (3, 0)\n",
|
||
"# C liegt auf dem Kreis, also C = (x, y) mit x² + y² = 9\n",
|
||
"# Winkel BAC = 85° bedeutet: Vector AC mit Vector AB einschließt 85°\n",
|
||
"\n",
|
||
"# Einfachere Methode: C liegt auf dem Kreis\n",
|
||
"# Winkel CAB = 85° von der positiven x-Achse (AB-Richtung)\n",
|
||
"# Von A aus gesehen ist der Winkel zur positiven x-Achse 0°\n",
|
||
"# C muss so liegen, dass der Winkel 85° ist\n",
|
||
"\n",
|
||
"# Parametrisierung: C auf Kreis mit Winkel theta zur x-Achse\n",
|
||
"# Wir finden theta so, dass Winkel BAC = 85°\n",
|
||
"\n",
|
||
"# Mittelpunkt des Kreises ist (0,0)\n",
|
||
"# Peripheriewinkel = halber Zentriwinkel\n",
|
||
"# Der Zentriwinkel für Bogen BC von B zu C\n",
|
||
"\n",
|
||
"# Berechnung über den Thaleskreis:\n",
|
||
"# C liegt im oberen Halbkreis (y > 0)\n",
|
||
"# Winkel ABC = 5°, also liegt C nahe bei B\n",
|
||
"\n",
|
||
"# Berechne Position von C direkt aus den Seitenlängen:\n",
|
||
"# Von A aus: C ist AC_numerical entfernt in Richtung 85° zur AB-Richtung\n",
|
||
"angle_to_C = np.radians(85) # Winkel von A zu C relativ zur AB-Linie\n",
|
||
"C_x = A[0] + AC_numerical * np.cos(angle_to_C)\n",
|
||
"C_y = A[1] + AC_numerical * np.sin(angle_to_C)\n",
|
||
"C = np.array([C_x, C_y])\n",
|
||
"\n",
|
||
"# Punkte plotten\n",
|
||
"ax.plot(*A, 'ro', markersize=10, label='A')\n",
|
||
"ax.plot(*B, 'go', markersize=10, label='B')\n",
|
||
"ax.plot(*C, 'mo', markersize=10, label='C')\n",
|
||
"\n",
|
||
"# Dreieck zeichnen\n",
|
||
"triangle = plt.Polygon([A, B, C], fill=False, edgecolor='red', linewidth=2)\n",
|
||
"ax.add_patch(triangle)\n",
|
||
"\n",
|
||
"# Beschriftungen\n",
|
||
"offset = 0.4\n",
|
||
"ax.text(A[0]-offset, A[1]-offset, 'A', fontsize=14, fontweight='bold')\n",
|
||
"ax.text(B[0]+offset, B[1]-offset, 'B', fontsize=14, fontweight='bold')\n",
|
||
"ax.text(C[0]+offset, C[1]+offset, 'C', fontsize=14, fontweight='bold')\n",
|
||
"\n",
|
||
"# Seitenlängen einzeichnen\n",
|
||
"mid_AB = (A + B) / 2\n",
|
||
"mid_AC = (A + C) / 2\n",
|
||
"mid_BC = (B + C) / 2\n",
|
||
"\n",
|
||
"ax.text(mid_AB[0], mid_AB[1]-0.5, f'AB = {AB:.2f} cm', fontsize=11, ha='center', \n",
|
||
" bbox=dict(boxstyle='round', facecolor='wheat', alpha=0.8))\n",
|
||
"ax.text(mid_AC[0]-0.7, mid_AC[1], f'AC = {AC_numerical:.2f} cm', fontsize=11, ha='center',\n",
|
||
" bbox=dict(boxstyle='round', facecolor='lightblue', alpha=0.8))\n",
|
||
"ax.text(mid_BC[0]+0.5, mid_BC[1], f'BC = {BC_numerical:.2f} cm', fontsize=11, ha='center',\n",
|
||
" bbox=dict(boxstyle='round', facecolor='lightgreen', alpha=0.8))\n",
|
||
"\n",
|
||
"# Rechter Winkel bei C markieren\n",
|
||
"from matplotlib.patches import Rectangle\n",
|
||
"angle_size = 0.5\n",
|
||
"angle_vec1 = (A - C) / np.linalg.norm(A - C) * angle_size\n",
|
||
"angle_vec2 = (B - C) / np.linalg.norm(B - C) * angle_size\n",
|
||
"corner = C + angle_vec1 + angle_vec2\n",
|
||
"square = plt.Polygon([C + angle_vec1, corner, C + angle_vec2], \n",
|
||
" fill=False, edgecolor='purple', linewidth=1.5)\n",
|
||
"ax.add_patch(square)\n",
|
||
"\n",
|
||
"# Achseneinstellungen\n",
|
||
"ax.set_xlim(-4.5, 4.5)\n",
|
||
"ax.set_ylim(-4.5, 4.5)\n",
|
||
"ax.set_aspect('equal')\n",
|
||
"ax.grid(True, alpha=0.3)\n",
|
||
"ax.axhline(y=0, color='k', linewidth=0.5)\n",
|
||
"ax.axvline(x=0, color='k', linewidth=0.5)\n",
|
||
"ax.set_xlabel('x (cm)', fontsize=12)\n",
|
||
"ax.set_ylabel('y (cm)', fontsize=12)\n",
|
||
"ax.set_title(f'Dreieck ABC auf Kreis (r = {r} cm)\\nAB = Durchmesser, ∠BAC = {winkel_BAC}°, ∠ACB = {winkel_ACB}° (Thales)', \n",
|
||
" fontsize=14, fontweight='bold')\n",
|
||
"ax.legend(loc='upper left', fontsize=10)\n",
|
||
"\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"print(\"\\nDie Visualisierung zeigt das Dreieck ABC auf dem Kreis.\")\n",
|
||
"print(\"Der rechte Winkel bei C ist durch ein kleines Quadrat markiert.\")"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 2,
|
||
"id": "ca572a79-3150-4403-b56a-16147b231a8c",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"Dice Population (1-6) Mean: 3.500, Std: 1.708\n",
|
||
"Population Distribution: Discrete Uniform (dice faces)\n",
|
||
"\n",
|
||
"============================================================\n",
|
||
"\n",
|
||
"Sample Size n = 1 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 1.708\n",
|
||
" Actual: μ = 3.505, σ = 1.709\n",
|
||
"\n",
|
||
"Sample Size n = 2 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 1.208\n",
|
||
" Actual: μ = 3.466, σ = 1.220\n",
|
||
"\n",
|
||
"Sample Size n = 5 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 0.764\n",
|
||
" Actual: μ = 3.501, σ = 0.763\n",
|
||
"\n",
|
||
"Sample Size n = 10 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 0.540\n",
|
||
" Actual: μ = 3.489, σ = 0.542\n",
|
||
"\n",
|
||
"Sample Size n = 20 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 0.382\n",
|
||
" Actual: μ = 3.500, σ = 0.380\n",
|
||
"\n",
|
||
"Sample Size n = 50 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 0.242\n",
|
||
" Actual: μ = 3.502, σ = 0.238\n",
|
||
"\n",
|
||
"Sample Size n = 100 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 0.171\n",
|
||
" Actual: μ = 3.499, σ = 0.171\n",
|
||
"\n",
|
||
"Sample Size n = 1000 consecutive dice throws\n",
|
||
" Theoretical: μ = 3.500, σ = 0.054\n",
|
||
" Actual: μ = 3.500, σ = 0.055\n",
|
||
"\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "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",
|
||
"text/plain": [
|
||
"<Figure size 1400x2000 with 8 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "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",
|
||
"text/plain": [
|
||
"<Figure size 1400x800 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import numpy as np\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"from scipy import stats\n",
|
||
"\n",
|
||
"# ============================================================================\n",
|
||
"# SETUP AND CONFIGURATION\n",
|
||
"# ============================================================================\n",
|
||
"\n",
|
||
"# Set random seed for reproducibility using PCG64 generator\n",
|
||
"rng = np.random.Generator(np.random.PCG64(420))\n",
|
||
"\n",
|
||
"# Parameters for the simulation\n",
|
||
"dice_faces = 6 # Six-sided dice\n",
|
||
"sample_sizes = [1, 2, 5, 10, 20, 50, 100, 1000] # Number of consecutive dice throws\n",
|
||
"n_samples = 5000 # Number of samples to draw for each sample size\n",
|
||
"\n",
|
||
"# ============================================================================\n",
|
||
"# POPULATION GENERATION\n",
|
||
"# ============================================================================\n",
|
||
"\n",
|
||
"# Define the dice as a discrete uniform population\n",
|
||
"population = np.arange(1, dice_faces + 1)\n",
|
||
"\n",
|
||
"# Calculate population parameters\n",
|
||
"pop_mean = np.mean(population)\n",
|
||
"pop_std = np.std(population)\n",
|
||
"\n",
|
||
"print(f\"Dice Population (1-{dice_faces}) Mean: {pop_mean:.3f}, Std: {pop_std:.3f}\")\n",
|
||
"print(\"Population Distribution: Discrete Uniform (dice faces)\")\n",
|
||
"print(\"\\n\" + \"=\"*60 + \"\\n\")\n",
|
||
"\n",
|
||
"# ============================================================================\n",
|
||
"# SAMPLE MEANS FUNCTION\n",
|
||
"# ============================================================================\n",
|
||
"\n",
|
||
"def generate_sample_means(pop, n, num_samples, rng):\n",
|
||
" \"\"\"\n",
|
||
" Generate sample means by repeatedly sampling consecutive dice throws.\n",
|
||
" \"\"\"\n",
|
||
" sample_means = []\n",
|
||
" for _ in range(num_samples):\n",
|
||
" # Sample n dice throws with replacement\n",
|
||
" sample = rng.choice(pop, size=n, replace=True)\n",
|
||
" sample_means.append(np.mean(sample))\n",
|
||
" return np.array(sample_means)\n",
|
||
"\n",
|
||
"# ============================================================================\n",
|
||
"# SIMULATION: GENERATE SAMPLE MEANS\n",
|
||
"# ============================================================================\n",
|
||
"\n",
|
||
"results = {}\n",
|
||
"for n in sample_sizes:\n",
|
||
" sample_means = generate_sample_means(population, n, n_samples, rng)\n",
|
||
" results[n] = sample_means\n",
|
||
" \n",
|
||
" # Theoretical CLT values\n",
|
||
" theoretical_mean = pop_mean\n",
|
||
" theoretical_std = pop_std / np.sqrt(n)\n",
|
||
" \n",
|
||
" # Actual values from simulation\n",
|
||
" actual_mean = np.mean(sample_means)\n",
|
||
" actual_std = np.std(sample_means)\n",
|
||
" \n",
|
||
" print(f\"Sample Size n = {n} consecutive dice throws\")\n",
|
||
" print(f\" Theoretical: μ = {theoretical_mean:.3f}, σ = {theoretical_std:.3f}\")\n",
|
||
" print(f\" Actual: μ = {actual_mean:.3f}, σ = {actual_std:.3f}\\n\")\n",
|
||
"\n",
|
||
"# ============================================================================\n",
|
||
"# VISUALIZATION: INDIVIDUAL HISTOGRAMS FOR EACH SAMPLE SIZE\n",
|
||
"# ============================================================================\n",
|
||
"\n",
|
||
"num_plots = len(sample_sizes)\n",
|
||
"ncols = 2\n",
|
||
"nrows = int(np.ceil(num_plots / ncols))\n",
|
||
"\n",
|
||
"fig, axes = plt.subplots(nrows, ncols, figsize=(14, 5*nrows))\n",
|
||
"axes = axes.flatten()\n",
|
||
"\n",
|
||
"for idx, n in enumerate(sample_sizes):\n",
|
||
" ax = axes[idx]\n",
|
||
" sample_means = results[n]\n",
|
||
" \n",
|
||
" # Histogram\n",
|
||
" ax.hist(sample_means, bins=50, density=True, alpha=0.7, \n",
|
||
" color='steelblue', edgecolor='black', linewidth=0.5)\n",
|
||
" \n",
|
||
" # Overlay theoretical normal distribution\n",
|
||
" x = np.linspace(sample_means.min(), sample_means.max(), 100)\n",
|
||
" ax.plot(x, stats.norm.pdf(x, pop_mean, pop_std/np.sqrt(n)), \n",
|
||
" 'r-', linewidth=2, label='Theoretical Normal')\n",
|
||
" \n",
|
||
" ax.set_title(f'n = {n} dice throws', fontsize=12, fontweight='bold')\n",
|
||
" ax.set_xlabel('Sample Mean')\n",
|
||
" ax.set_ylabel('Density')\n",
|
||
" ax.legend()\n",
|
||
" ax.grid(True, alpha=0.3)\n",
|
||
"\n",
|
||
"for idx in range(num_plots, len(axes)):\n",
|
||
" axes[idx].set_visible(False)\n",
|
||
"\n",
|
||
"plt.suptitle('Central Limit Theorem: Consecutive Dice Throws', fontsize=14, fontweight='bold', y=0.995)\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"# ============================================================================\n",
|
||
"# VISUALIZATION: COMBINED HISTOGRAMS\n",
|
||
"# ============================================================================\n",
|
||
"\n",
|
||
"fig, ax = plt.subplots(figsize=(14, 8))\n",
|
||
"colors = ['#FF6B6B', '#4ECDC4', '#45B7D1', '#96CEB4', '#F7DC6F', '#BB8FCE']\n",
|
||
"\n",
|
||
"for idx, n in enumerate(sample_sizes):\n",
|
||
" ax.hist(results[n], bins=50, density=True, alpha=0.5, \n",
|
||
" color=colors[idx % len(colors)], label=f'n = {n}', edgecolor='black', linewidth=0.5)\n",
|
||
"\n",
|
||
"ax.set_title('CLT Progression: Sample Means of Consecutive Dice Throws', fontsize=14, fontweight='bold')\n",
|
||
"ax.set_xlabel('Sample Mean')\n",
|
||
"ax.set_ylabel('Density')\n",
|
||
"ax.legend(fontsize=11)\n",
|
||
"ax.grid(True, alpha=0.3)\n",
|
||
"plt.tight_layout()\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"id": "56f53747-51f2-44e4-a502-92025b068acd",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "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",
|
||
"text/plain": [
|
||
"<Figure size 600x600 with 3 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"### BEGIN SOLUTION\n",
|
||
"import numpy as np\n",
|
||
"import pandas as pd\n",
|
||
"import seaborn as sns\n",
|
||
"import matplotlib.pyplot as plt\n",
|
||
"from pydantic import BaseModel, Field, ValidationError\n",
|
||
"from typing import List\n",
|
||
"\n",
|
||
"samples = 10000\n",
|
||
"\n",
|
||
"class Individual(BaseModel):\n",
|
||
" sex: bool\n",
|
||
" height: int = Field(..., ge=120, le=230)\n",
|
||
" weight: int = Field(..., ge=40, le=200)\n",
|
||
"\n",
|
||
"\n",
|
||
"rng = np.random.default_rng()\n",
|
||
"\n",
|
||
"# Preallocate arrays\n",
|
||
"sex_array = np.zeros(samples, dtype=bool)\n",
|
||
"sex_array[1::2] = True # Alternate sexes\n",
|
||
"\n",
|
||
"height_array = np.zeros(samples, dtype=int)\n",
|
||
"weight_array = np.zeros(samples, dtype=int)\n",
|
||
"\n",
|
||
"# Function to generate height and weight arrays for a given sex\n",
|
||
"def generate_batch(sex_flag, size):\n",
|
||
" if sex_flag:\n",
|
||
" heights = rng.normal(165.8, 11, size)\n",
|
||
" weights = rng.normal(69.2, 19, size)\n",
|
||
" else:\n",
|
||
" heights = rng.normal(178.9, 10, size)\n",
|
||
" weights = rng.normal(85.8, 26, size)\n",
|
||
" # Convert to integers\n",
|
||
" return np.round(heights).astype(int), np.round(weights).astype(int)\n",
|
||
"\n",
|
||
"# Initial generation\n",
|
||
"height_array[sex_array == False], weight_array[sex_array == False] = generate_batch(False, np.sum(sex_array == False))\n",
|
||
"height_array[sex_array == True], weight_array[sex_array == True] = generate_batch(True, np.sum(sex_array == True))\n",
|
||
"\n",
|
||
"# Validation and recalculation\n",
|
||
"valid_count = 0\n",
|
||
"while valid_count < samples:\n",
|
||
" records: List[dict] = []\n",
|
||
" invalid_indices = []\n",
|
||
"\n",
|
||
" # Validate each individual\n",
|
||
" for i in range(samples):\n",
|
||
" try:\n",
|
||
" individual = Individual(\n",
|
||
" sex=sex_array[i],\n",
|
||
" height=int(height_array[i]),\n",
|
||
" weight=int(weight_array[i])\n",
|
||
" )\n",
|
||
" records.append(individual.model_dump())\n",
|
||
" except ValidationError:\n",
|
||
" invalid_indices.append(i)\n",
|
||
"\n",
|
||
" valid_count = samples - len(invalid_indices)\n",
|
||
"\n",
|
||
" # Recalculate only invalid samples\n",
|
||
" if invalid_indices:\n",
|
||
" for i in invalid_indices:\n",
|
||
" h, w = generate_batch(sex_array[i], 1)\n",
|
||
" height_array[i] = h[0] \n",
|
||
" weight_array[i] = w[0] \n",
|
||
"\n",
|
||
"# Convert to DataFrame\n",
|
||
"individuals = pd.DataFrame(records)\n",
|
||
"individuals = individuals.astype({\"sex\": \"bool\", \"height\": \"int\", \"weight\": \"int\"})\n",
|
||
"\n",
|
||
"# Save CSV\n",
|
||
"#individuals.to_csv(\"people_in_germany.csv\", index=False)\n",
|
||
"\n",
|
||
"# Plot\n",
|
||
"sns.set_style(\"darkgrid\")\n",
|
||
"sns.jointplot(data=individuals, x=\"height\", y=\"weight\", hue=\"sex\")\n",
|
||
"plt.show()\n",
|
||
"### END SOLUTION"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 12,
|
||
"id": "b7a4582c-a040-46e2-a40a-e7d6508e3fca",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# --------------------------------------------------------------\n",
|
||
"# Imports\n",
|
||
"# --------------------------------------------------------------\n",
|
||
"import sympy as sp # symbolic maths\n",
|
||
"import mpmath as mp # high‑precision floating point\n",
|
||
"import matplotlib.pyplot as plt # plotting\n",
|
||
"import numpy as np # numeric arrays\n",
|
||
"from sympy import Rational, continued_fraction, init_printing, N, pi, log, exp\n",
|
||
"from IPython.display import display, Math, HTML, clear_output\n",
|
||
"import ipywidgets as widgets # interactive slider\n",
|
||
"\n",
|
||
"# Make SymPy render LaTeX automatically in the notebook\n",
|
||
"init_printing(use_latex='mathjax')"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"id": "20c4b21c-3970-4ebd-a49b-a72c9e53cc65",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# --------------------------------------------------------------\n",
|
||
"# Revised core computation routine\n",
|
||
"# --------------------------------------------------------------\n",
|
||
"import sympy as sp\n",
|
||
"from sympy import pi, log, N, Rational, nsimplify, continued_fraction\n",
|
||
"import mpmath as mp\n",
|
||
"\n",
|
||
"def _cf_from_mpmath(x: mp.mpf, max_terms: int = 30):\n",
|
||
" \"\"\"\n",
|
||
" Return an *approximate* continued‑fraction list for a high‑precision\n",
|
||
" mp.mpf value. This is not the exact SymPy routine (which only works\n",
|
||
" for rationals/quadratics) but is often what people need when they\n",
|
||
" start from a decimal expansion.\n",
|
||
" \"\"\"\n",
|
||
" cf = []\n",
|
||
" a = x\n",
|
||
" for _ in range(max_terms):\n",
|
||
" ai = mp.floor(a)\n",
|
||
" cf.append(int(ai))\n",
|
||
" frac = a - ai\n",
|
||
" if mp.almosteq(frac, 0):\n",
|
||
" break\n",
|
||
" a = 1/frac\n",
|
||
" return cf\n",
|
||
"\n",
|
||
"\n",
|
||
"def compute_x(prec: int = 50, rat_den_limit: int = 1_000_000,\n",
|
||
" cf_max_terms: int = 30):\n",
|
||
" \"\"\"\n",
|
||
" Compute everything needed to express e**π as 2**x.\n",
|
||
"\n",
|
||
" Parameters\n",
|
||
" ----------\n",
|
||
" prec : int\n",
|
||
" Number of **decimal digits** for the numeric approximation.\n",
|
||
" rat_den_limit : int\n",
|
||
" Upper bound for the denominator when searching for a rational\n",
|
||
" approximation.\n",
|
||
" cf_max_terms : int, optional\n",
|
||
" Maximum number of terms to generate when we compute a\n",
|
||
" *floating‑point* continued fraction via mpmath. Ignored when the\n",
|
||
" rational expansion already terminates.\n",
|
||
"\n",
|
||
" Returns\n",
|
||
" -------\n",
|
||
" dict with keys\n",
|
||
" - ``x_sym`` – symbolic expression π/ln(2)\n",
|
||
" - ``x_num`` – high‑precision Decimal (SymPy Float)\n",
|
||
" - ``x_rat`` – rational approximation (SymPy Rational)\n",
|
||
" - ``cf_rational`` – continued‑fraction list of the rational\n",
|
||
" approximation (exact, finite)\n",
|
||
" - ``cf_float`` – continued‑fraction list derived from the float\n",
|
||
" (approximate, may be longer)\n",
|
||
" - ``true_val`` – e**π (mpmath high‑precision float)\n",
|
||
" - ``approx_val`` – 2**x (mpmath high‑precision float)\n",
|
||
" - ``rel_err`` – relative error |2**x‑e**π| / e**π\n",
|
||
" - ``prec`` , ``rat_den_limit`` , ``cf_max_terms`` – echo of inputs\n",
|
||
" \"\"\"\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" # 1. exact symbolic exponent\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" x_sym = pi / log(2) # sympy.log is natural log\n",
|
||
"\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" # 2. high‑precision decimal value (SymPy Float)\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" x_num = N(x_sym, prec) # `prec` decimal digits\n",
|
||
"\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" # 3. rational approximation (bounded denominator)\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" # Try a “nice” rational first; if that fails, force a denominator bound.\n",
|
||
" rat_candidate = nsimplify(x_num, rational=True)\n",
|
||
" if isinstance(rat_candidate, Rational):\n",
|
||
" x_rat = rat_candidate\n",
|
||
" else:\n",
|
||
" x_rat = Rational(x_num).limit_denominator(rat_den_limit)\n",
|
||
"\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" # 4. continued‑fraction expansions\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" # • exact finite CF of the rational we just built\n",
|
||
" cf_rational = continued_fraction(x_rat) # always works\n",
|
||
"\n",
|
||
" # • optional *approximate* CF of the floating point value\n",
|
||
" # (useful when you want many terms beyond the rational's period)\n",
|
||
" cf_float = _cf_from_mpmath(mp.mpf(str(x_num)), max_terms=cf_max_terms)\n",
|
||
"\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" # 5. verification with mpmath (high‑precision floats)\n",
|
||
" # ------------------------------------------------------------\n",
|
||
" mp.mp.dps = prec + 5 # guard digits\n",
|
||
" true_val = mp.e ** mp.pi\n",
|
||
" approx_val = mp.power(2, mp.mpf(str(x_num)))\n",
|
||
" rel_err = abs((approx_val - true_val) / true_val)\n",
|
||
"\n",
|
||
" return {\n",
|
||
" \"x_sym\": x_sym,\n",
|
||
" \"x_num\": x_num,\n",
|
||
" \"x_rat\": x_rat,\n",
|
||
" \"cf_rational\": cf_rational,\n",
|
||
" \"cf_float\": cf_float,\n",
|
||
" \"true_val\": true_val,\n",
|
||
" \"approx_val\": approx_val,\n",
|
||
" \"rel_err\": rel_err,\n",
|
||
" \"prec\": prec,\n",
|
||
" \"rat_den_limit\": rat_den_limit,\n",
|
||
" \"cf_max_terms\": cf_max_terms,\n",
|
||
" }"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 18,
|
||
"id": "392bb9fa-ef02-4f8e-9065-bfbe020fc28d",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"# --------------------------------------------------------------\n",
|
||
"# Compute once with the default precision (50 decimal digits)\n",
|
||
"# --------------------------------------------------------------\n",
|
||
"res = compute_x(prec=50) # change the integer if you want a different default"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 22,
|
||
"id": "a9053005-e4c0-478a-ac04-7185c0427912",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/latex": [
|
||
"$\\displaystyle x = \\frac{\\pi}{\\ln 2}$"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Math object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"✅ Exact symbolic expression:\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"text/latex": [
|
||
"$\\displaystyle \\frac{\\pi}{\\log{\\left(2 \\right)}}$"
|
||
],
|
||
"text/plain": [
|
||
" π \n",
|
||
"──────\n",
|
||
"log(2)"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"🔢 Decimal approximation (50 digits):\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"text/latex": [
|
||
"$\\displaystyle 4.5323601418271938096276829457166668101718614677238$"
|
||
],
|
||
"text/plain": [
|
||
"4.5323601418271938096276829457166668101718614677238"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"🧮 Rational approximation (denominator ≤ 1,000,000):\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"text/latex": [
|
||
"$\\displaystyle \\frac{22661800709135969048138414728583334050859307338619}{5000000000000000000000000000000000000000000000000}$"
|
||
],
|
||
"text/plain": [
|
||
"22661800709135969048138414728583334050859307338619\n",
|
||
"──────────────────────────────────────────────────\n",
|
||
"5000000000000000000000000000000000000000000000000 "
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"\n",
|
||
"🔎 Verification\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"text/latex": [
|
||
"$\\displaystyle 2^{x} = \\mathtt{\\text{23.14069263277926900572908636794854738026610624260028282}}$"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Math object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/latex": [
|
||
"$\\displaystyle e^{\\pi} = \\mathtt{\\text{23.14069263277926900572908636794854738026610624260021199}}$"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Math object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# --------------------------------------------------------------\n",
|
||
"# Display the results in a readable way\n",
|
||
"# --------------------------------------------------------------\n",
|
||
"display(Math(r\"x = \\frac{\\pi}{\\ln 2}\"))\n",
|
||
"\n",
|
||
"print(\"✅ Exact symbolic expression:\")\n",
|
||
"display(res[\"x_sym\"])\n",
|
||
"\n",
|
||
"print(\"\\n🔢 Decimal approximation ({} digits):\".format(res[\"prec\"]))\n",
|
||
"display(res[\"x_num\"])\n",
|
||
"\n",
|
||
"print(\"\\n🧮 Rational approximation (denominator ≤ {:,}):\".format(res[\"rat_den_limit\"]))\n",
|
||
"display(res[\"x_rat\"])\n",
|
||
"\n",
|
||
"print(\"\\n🔎 Verification\")\n",
|
||
"display(Math(r\"2^{x} = \" + sp.latex(res[\"approx_val\"])))\n",
|
||
"display(Math(r\"e^{\\pi} = \" + sp.latex(res[\"true_val\"])))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 20,
|
||
"id": "482980d9-b747-407e-81f2-c5569da133a2",
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "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",
|
||
"text/plain": [
|
||
"<Figure size 800x450 with 1 Axes>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"# --------------------------------------------------------------\n",
|
||
"# Visualise the equality 2**x = e**π\n",
|
||
"# --------------------------------------------------------------\n",
|
||
"%matplotlib inline\n",
|
||
"\n",
|
||
"# A narrow window around the exponent we just computed\n",
|
||
"x_vals = np.linspace(res[\"x_num\"] - 1, res[\"x_num\"] + 1, 400)\n",
|
||
"\n",
|
||
"# Evaluate 2**x with mpmath (high precision)\n",
|
||
"mp.mp.dps = res[\"prec\"] + 5\n",
|
||
"y2 = [mp.power(2, mp.mpf(str(v))) for v in x_vals] # 2**x\n",
|
||
"y_e = [mp.e**mp.pi] * len(x_vals) # constant e**π\n",
|
||
"\n",
|
||
"plt.figure(figsize=(8, 4.5))\n",
|
||
"plt.plot(x_vals, y2, label=r\"$2^{x}$\", color=\"#1f77b4\")\n",
|
||
"plt.axhline(mp.e**mp.pi, color=\"#ff7f0e\", linestyle=\"--\", label=r\"$e^{\\pi}$\")\n",
|
||
"plt.scatter([float(res[\"x_num\"])], [float(res[\"approx_val\"])],\n",
|
||
" color=\"red\", zorder=5, label=\"intersection\")\n",
|
||
"plt.title(r\"Intersection of $2^{x}$ and $e^{\\pi}$\")\n",
|
||
"plt.xlabel(r\"$x$\")\n",
|
||
"plt.ylabel(\"value\")\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(alpha=0.3)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"id": "4a08d1dd-007d-4b39-aa58-cd72b9939028",
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": []
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 3 (ipykernel)",
|
||
"language": "python",
|
||
"name": "python3"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 3
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython3",
|
||
"version": "3.11.6"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 5
|
||
}
|