380 lines
390 KiB
Plaintext
380 lines
390 KiB
Plaintext
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"display_name": "Python 3.8.5 64-bit ('Python38': conda)",
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"hash": "9843e8d5223683f62c81e5f9ede54bdba5d76e4f5f29b51d8f91775fe9c18bbd"
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt\n",
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"from scipy.integrate import quad\n",
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"%matplotlib inline"
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]
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},
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{
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"source": [
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"**Problem.** Expand in a Fourier series in the form of a superposition of simple harmonics the function $f(x)$ defined on the segment $[T/2, T/2]$.\n",
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"Show:\n",
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"\n",
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"1. amplitude and phase spectra;\n",
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"2. Fourier series partial sums $S_3(x)$, $S_{10}(x)$, $S_{20}(x)$, $S_{100}(x)$ plots.\n",
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"\n",
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"\n",
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"**Задача.** Разложить в ряд Фурье в форме суперпозиции простых гармоник функцию $f(x)$, заданную на отрезке $[T/2, T/2]$.\n",
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"Построить:\n",
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"\n",
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"1. амплитудный и фазовый спектры;\n",
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"2. графики частичных сумм ряда Фурье $S_3(x)$, $S_{10}(x)$, $S_{20}(x)$, $S_{100}(x)$.\n",
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"\n"
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],
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"cell_type": "markdown",
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},
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{
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"source": [
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"T = 2 # period\n",
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"\n",
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"def f(x):\n",
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" if -1 <= x < 0:\n",
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" return 2 * x + 2\n",
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" elif 0 <= x < 0.5:\n",
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" return -2\n",
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" elif 0.5 <= x <= 1:\n",
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" return 1\n",
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" else:\n",
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" return 0\n",
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"\n",
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"x = np.linspace(-2, 2, 1000)\n",
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"y = [f(xi) for xi in x]\n",
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"\n",
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"plt.figure()\n",
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"plt.plot(x, y)\n",
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"plt.grid()\n",
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"plt.xlabel(\"$x$\")\n",
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"plt.ylabel(\"$f(x)$\")\n",
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"plt.show()\n"
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],
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"cell_type": "code",
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"metadata": {},
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"execution_count": 135,
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"outputs": [
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{
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"output_type": "display_data",
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|
||
},
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"metadata": {
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"needs_background": "light"
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||
}
|
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}
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||
]
|
||
},
|
||
{
|
||
"source": [
|
||
"Fourier coefficients / Коэффициенты Фурье\n",
|
||
"\n",
|
||
"$$a_0 = \\frac{2}{T} \\int_{-T/2}^{T/2} f(x) dx$$\n",
|
||
"$$a_n = \\frac{2}{T} \\int_{-T/2}^{T/2} f(x) \\cos(2\\pi\\frac{n}{T}x) dx$$\n",
|
||
"$$b_n = \\frac{2}{T} \\int_{-T/2}^{T/2} f(x) \\sin(2\\pi\\frac{n}{T}x) dx$$"
|
||
],
|
||
"cell_type": "markdown",
|
||
"metadata": {}
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 43,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"output_type": "stream",
|
||
"name": "stdout",
|
||
"text": [
|
||
"a_0 = 0.5\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"a_0 = 2 / T * quad(f, -T / 2, T / 2)[0]\n",
|
||
"print(\"a_0 = {}\".format(a_0))"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 172,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def a(n):\n",
|
||
" return (4 * np.sin(np.pi * n / 2) ** 2 / (np.pi * n) -\n",
|
||
" 2 * np.sin(np.pi * n / 2) +\n",
|
||
" np.sin(np.pi * n) - np.sin(np.pi * n / 2)) / (np.pi * n)\n",
|
||
"\n",
|
||
"def b(n):\n",
|
||
" return (2 * (np.sin(np.pi * n) - np.pi * n) / (np.pi * n) -\n",
|
||
" np.cos(np.pi * n) + np.cos(np.pi * n / 2) +\n",
|
||
" 4 * (np.cos(np.pi * n / 4) ** 2 - 1)) / (np.pi * n)"
|
||
]
|
||
},
|
||
{
|
||
"source": [
|
||
"Function break points / Точки разрыва:\n",
|
||
"\n",
|
||
"* $x_1 = -1$, $y_1 = 0.5$\n",
|
||
"* $x_2 = 0$, $y_2 = 0$\n",
|
||
"* $x_3 = 0.5$, $y_3 = -0.5$\n",
|
||
"* $x_4 = 1$, $y_4 = 0.5$"
|
||
],
|
||
"cell_type": "markdown",
|
||
"metadata": {}
|
||
},
|
||
{
|
||
"source": [
|
||
"1. Amplitude and phase spectra / Амплитудный и фазовый спектры\n",
|
||
"\n",
|
||
"$$d_n = \\sqrt{a_n^2 + b_n^2}$$\n",
|
||
"$$\\theta_n = arctan2(-\\frac{b_n}{a_n})$$"
|
||
],
|
||
"cell_type": "markdown",
|
||
"metadata": {}
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 184,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"output_type": "display_data",
|
||
"data": {
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"text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
|
||
},
|
||
"metadata": {
|
||
"needs_background": "light"
|
||
}
|
||
}
|
||
],
|
||
"source": [
|
||
"def amplitude(n):\n",
|
||
" if n == 0:\n",
|
||
" return a_0\n",
|
||
" return np.sqrt(a(n) ** 2 + b(n) ** 2)\n",
|
||
"\n",
|
||
"def phase(n):\n",
|
||
" if n == 0:\n",
|
||
" return 0\n",
|
||
" return np.angle(a(n) - 1j*b(n))\n",
|
||
"\n",
|
||
"def frequency(n):\n",
|
||
" return n / T\n",
|
||
"\n",
|
||
"def harmonics(x, n):\n",
|
||
" return amplitude(n) * np.cos(2 * np.pi * frequency(n) * x + phase(n))\n",
|
||
"\n",
|
||
"n = np.arange(-50, 50)\n",
|
||
"amp = [amplitude(ni) for ni in n]\n",
|
||
"ph = [phase(ni) for ni in n]\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"plt.stem(n, amp)\n",
|
||
"plt.grid()\n",
|
||
"plt.xlabel(\"$n$\")\n",
|
||
"plt.ylabel(\"$d(n)$\")\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"plt.stem(n, ph)\n",
|
||
"plt.grid()\n",
|
||
"plt.xlabel(\"$n$\")\n",
|
||
"plt.ylabel(\"$\\\\theta(n)$\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"source": [
|
||
"2. Fourier series partial sums plots / Графики частичных сумм ряда Фурье\n",
|
||
"\n",
|
||
"$$\\nu_n = \\frac{n}{T}$$\n",
|
||
"$$S_N = \\frac{d_0}{2} + \\sum_{n=1}^{N} d_n \\cos(2\\pi\\nu_n x + \\theta_n)$$"
|
||
],
|
||
"cell_type": "markdown",
|
||
"metadata": {}
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 174,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": [
|
||
"def s(x, number=3):\n",
|
||
" result = 0\n",
|
||
" for ni in range(1, number + 1):\n",
|
||
" result += harmonics(x, ni)\n",
|
||
" \n",
|
||
" return a_0 + result"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 175,
|
||
"metadata": {
|
||
"tags": []
|
||
},
|
||
"outputs": [
|
||
{
|
||
"output_type": "display_data",
|
||
"data": {
|
||
"text/plain": "<Figure size 432x288 with 1 Axes>",
|
||
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\n"
|
||
},
|
||
"metadata": {
|
||
"needs_background": "light"
|
||
}
|
||
}
|
||
],
|
||
"source": [
|
||
"x = np.linspace(-2 * T, 2 * T, 1000)\n",
|
||
"s_3 = s(x, 3)\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"plt.plot(x, s_3)\n",
|
||
"plt.grid()\n",
|
||
"plt.xlabel(\"$x$\")\n",
|
||
"plt.ylabel(\"$s_3(x)$\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 181,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"output_type": "display_data",
|
||
"data": {
|
||
"text/plain": "<Figure size 432x288 with 1 Axes>",
|
||
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1CA5fwqQNgiJGzDIxgIuT8SpKsjj9CyqMFsPJstNUNk8snQPg/GRC+fNVMTCdoNs8s7EUfq/xnqwDE1ZKSZ+pp7OjMeXPV8XAdJK2cIBQoLz0pN/rXAjk3LihJ8sw1CKD00mEmH8+YzGMOzf0OYSaZ3S2aBDOT9TGAlcoSB49NmLfdwCGh1BOPBycLTtdKFOt8PSZcc6OFRfc/qlkWeEPcDZkFEvnmDMNqHUSuBZ4+sw4RwaKt+4tLDldioDXQ84Bj0pKydis0T56KJokXyN5l4N90xwy21uDYUA7GopnEJYi6HAHYm0QFDFqDr6traGa8RC+/nIfD3z5VX7yr58jly8QMxuy7So57LIYTuYQrMs/ulrqGagRg/DIsRE+/Pcv8ROffZbZVBYpJf3TCbpby1vgnDQIk7GivkZmUzVRqvnqxWk+/Pcv8d7PPsOgaeBLDz2Wg98rHNFXPJM3y6tDZPOSiVha+Xcsl97xGO//3HO897PP2nnGi5Pxsj12MMaYUyE20AZBGdGkMWH3dTdzcSqBlNXfkXzTvJ91aCbFEyfH7J3v7nINgn0yUr2LOpsyrlO8fnMTk/GMHT6qJg8dHASM3fh3Dg0xNpcmkcmzrcwJa4eMHNjxTsaNBe2m7mYKcn6Islp855CR3C5I+JdX+klm8vRNJcrecICRR3BigbMul7mpuxnANljV5F9fLxYDfPHZC0gpOTU6x1Wd5evL7xOOeFQW2iAoYi5lLGhXb2ogkyvY96FWi3Quz9HBWX75jTvY2BDkm68OcNpMSl5V0j5gMZzMIVgXrlu3kFU7DCKl5JWL07zv5i3s7WjgwVcH7FBI6WnRxRBCOLbjnTA9hJu6DFn6ayBs9ELvJG/c3c4bdrXxrYODnByZpSCxO3aWQ8DrccSAzprj65pNxli3zpNUk1cvTnH9lkbef/MWHj40xMXJBHOpHHs7y9eXz6PLTtcEs8ksXo9gZ7th7Yej83dwn+s5yx9//+Sq1ZAfH5olky+wf1sLP37jZnpOjfNC7yR1fk/ZLmoxBKJe5hnzwvWrzGs8F+54v/5SH7/zr0dWLTTSP5VkIpZm/7YWfuLmLbzWF+Xhw0N4BHZH2HJwyqW3Nxzm4jG8QF8/ODrMf/2XQ8RXydOaTWU5NTrH7Ttaef8tXfRNJfjKC31A0ciXg1MG1PI4rWtihxZ4CE+eGuO3vvE6k6sUSpJScmRghhu7mvnxmzYxm8rxhad758lYDgEdMlobzKVyNNb57O6XQzPFAXhhIs7/+sEp/uapczx1enxV5DlqXsN3Y3cz9+/bTCZf4FsHB7lteytez9IVM1AaAlE/AGfNBc5qdlZqEEZmUnzqW0f4ygt9/Otrg8q/+3IcH54F4MauJu7ftxkwXPy9nY1lV8yAcZrUCQNqLfRWuG+kZHzF0zl+7Wuv8eCrA3zpuQvKv/tynB+PI6WxmN13vXEV6zcPDtAeCS4rqexUyMgyoJ2N9TQEffMMqJSST33zCN86OMjnes4p/+7L0TeVYDaV48YtTbxx9waa6v189cU+6vwebijTAwUdMlozzKWyNNT57fKx0gWu9PSy1QbY4vtHhvl/vndC+U64dyJOKOBlc1MdN3U1sX+b0ZDtA7dtLfsZQghzgXMmZBQKeO0bx0ZKqrR6To3ZPz+2QF/PnZ3gvz10RHnOoXfCyK/saA+zpbmed17XAXBJv6KlcOokqfX3bQ0HaA0H5i1wL/RO2lU0jy44+X14IMrHHzykfCds6WvnhjCRoI+furULMPRVTomuhd/rIZNTv8DNmTmqhjofm5rrGC4xoGfGYvZ4e2LB+Do/EecTDx62D9ip4oxZKnxVZwMBn4dfuHs7AD+xb0tZZ4IsfB5nPQTdy0gRs6kcjfU+2sIBAl7PPA/h+d5Jdm+MsK01xDNni4ewEpkc//mrBwHDzX7vvi3K5Dk/EWdHe9ienP/wi7fTOx7jxq7mZT3H71BZ4EwyS1O9n4DPQ3skOM+AHh6cobHOx33Xd/KDoyPkCxKvR5AvSH7taweZTmTZ2R7ml+/ZqUye8+NxNjYE7e6ln/ngzcZF8WZSslz8Xo8j5xBi6Rw+jyDo89DZWDfPIJwwvZv/8IbtfPmFi8TTOfsugo8/eJiTI3O0hAN86l3XKJPn/Hgcjyie4P7d91zHT9/avaxwEUDAK8gVnDOgkaCPzqb6efp65owxB3/lzbv4m6fOcXEyzrY2o435H3znGE+eGidbKPBnP71PmTwXzMrDnWa79F+/dw/37Gnnhi3Ny3qO36Gci4X2EBQxl8rSEPTj8Qg6m+rm5RBOj85x7aZG7trVxsXJBGPm7sQamAt/VoFlECwiQd+yjQGAzysc2fHOJrM0movvpqa6eR7C6ZE5ru409DWbynFyxFjwjg3NMG3mHp49q1ZfvQv0FfR5uWVry7J2u2AaUAfyRPF0jkidDyEEm5rmG4STI3N0t9Zz79UbyRckB/uME+Bjsyn7UJbq8dU7EaerJWR3ePV6BNdvaVqRvhzJIZgho0idj82X6GuW9kiAf3eLsQF7yTz5nc7leb7XaKPy3Fm17VR6J+I0h/w0hwIAeDyC/dtayz5/YBHwOeOxW2iDoIi5VI6GOmNX1tlUdFHj6RwD00mu6ohws9lH/6B5f/FL56cI+DzcubOVE+aip4JMrkD/VMLejVSC0x4CQEdjne0hlJbi3bqtFSjq60WzJcg9e9o5NqROX2DUiO/cUH7535XwO2RAY+kc4UBxfJXmEE6NzLG3o5F9W5sRAvt+7BfMhe6OHa2cGYspbbq3cMOxUnxeQdaBkFEsnaPO78Hv9bCpqZ6JWNoOy54ejbFnYwO7NkRoqvfz6kXDgB7qnyGVLXDL1mZGZlN2abQKLqjSl8MhI20QFDGbzNJoLnClO5IzZu3/no4Grt/SSMDr4bV+YwC+fGGKfV3N7N4YsXuaqKBvKkFBwo4NKgyCc1UglgEt3fGOzKaMUryOBrpa6mmPBHnNnLAvnp9ie1uI27e3MjaXVtbFcjqeYTqRZZcSfTkUMkrliASL+ppOZEll86RzeXon4uztjNBY52fXhgivmydhX+ydJBL08RM3byGTKyirxZdScn4izk5F+nLEA03liASLHqiURjcBKSVnx2Jc1RHB4xHcsrWZVy5aPbUmEQJ+6lYjb9SnsKXK+Yk4O9oUjS8dMqp9Sj2ETc31jM6mKBQkp02XfW9HA0Gfl2s3N/JaX5R4OsfRoVlu29FCV0uIaCJrJ8Iqpdfs4bJdwQA0diTqB2Ayk6c+YIQbOpvqmElmSWbydohjb2cjQhgT9tW+afIFycsXprhjR5udiF5YerlSzpvxXRU7OKdCIPGMETIC6CwpXOgdj5MvSLuWfV93M6/3R5FS8uL5KW7d3mK3KlGlL+vAngoPNOD1OJZDKM5Ho/JveCbF8EyKWDrHHrO67dbtrZwdixFNZHi+d4JrOhvtqh9VieVkJs/wTIrtSsaXDhnVPFJKEtm87dJvbqqzj8ufHp0j6PPYybebtzZzeCDKc+eMypA7drTZZXqqdnDnJ8wEloIQSMDnzAKXzOapN6srNjUZE3ZkNmUb0Ks6DNlv2dbCxckET58ZZyaZ5c5drbZBWFhbvlLOj6s0CM6UncbSeTtRbOlreCbFKVNfVi37vu5mpuIZDvZNc3Ysxh072ui09KvIIPTa+lIRYvM4EzJKZed5oADDM0n7cOYes3zXqr575uwEB/ui3LWrzb48SlWPLWs+1vKGw0IbBAVk85J8QZbseM0FaybF6bEYuzdG7Nr/m7e2kMoW+OyTZwn6PNy+o9W+nlHVacre8TjtkYAdo68En8eZKpBktsRDaCwuWKdG5+hoDNrJN+v+4s88cQaAu3e3F/Wl0IB6PaKsOw+WwrkkaZZIsOhRAYzMJjk5MoffK+zF5s6dxlWMv/OvxwB481Ub7Pcr86isBU5ByMjnYEiymHMpepR2+afpIdzU1YzPI/jLJ86SyRU4sHcDjXV+mur9ysK4pSW6leJUTs9CGwQFJM1Ydt2CHe9wNMmpkVn78BXAm/a04/UIXu+Pcvfudur8xVr8IYUTVsVuBJyrE09mSjyEkgX+xPDcvKP8N3U30Vjn42BflBu2NLGxoY6OpiBCqDOg5yeMBmPWyexKcMqjiqfzdg7BMqBD0RSnRmbZtSFiy757Y4SrOiKcGJ6lu7WeazY1EAn6aKjzzUtEV8L5iRhBn4dNjZVfFBrwesg6tOEImRsO6+8/HDU8hPZIkJawseGoD3jZ193MqdE5wgEvt+8wChk2NASVNcSzPKqdSjwqZ4oWLLRBUICV3LQWOGuBPzI4w+hsel7rg+ZQgI+8ZTdN9X4+cu9uwDhsBDAVU9P/aGEJZSX4HagTLxQk6VzB9hC6W+oJ+DwcHZzh7NjcvF44QZ+Xj913Ne2RIL/19qvs11pDAcZVTdiJONvbKvcOwLmkXzyTs09Mh4M+2iMBzk/EOT48e0nrg/9y7x7aIwF+++177TLQTU11yjYcZ8aMiixPmSfeF8OpkFEqW5h34GtLcz0D00mODs3a/Y0sPvq2PTQEffzWO/baZbRt4YDdYbZSesdjbGmut8d7JThV1myhD6YpIJmxPATDvraE/DTU+eyrDhc2R/vNt1/Fb7xtjz1Z/V4PTfV+puJpKP8U+2WZTWWZiKWV5A8s2VS7qMkFBtTn9bBnY4TvHhkmm5eX9A768J3b+PCd2+a91hoOMB3PQEtlshQKkgsTce4yQy2V4lTSL5XNz1vgrtvcxOMnRokmsuxbcHjuPTdt5j03bZ73WnskaLccr5QzozFu3V6h4k2KISO1t8YnM3mC/uJ+95pNjTxxYpR4Js9br94177337NnA4d97x7wzFO2RoLJS8HPjaiqywJiP+YKk4FA3Ze0hKCCVm7/ACSG4bnMj/VPGbUiXa4628ABPWzjAxAom7FQ8w3//16M8abZ7ODdWbMGgAicOptkGoWTHtLezwW5ZXE5vl5ZwYEUdZePpHP/zu8f5t9eNHkmD0STJbJ5dG1XpS30ZZb4gyealveEA42R71Dykd8u2pRfnllCA6cTy9ZXNF/jTR07ytReNxnXxdI7BaNJOylaKU2Wn6VwxJAlGMcdsKke+ILmx69LxtXA+tkcCTMwt3wOVUvKXT5zhCz/qRUqJlNI446JwPgI41fNRewgKsD2EkgXuTVdt4IXeKW7ubrZP5C5GWySwopDR/3n0FF99sY9vvNLPs5+8176NaTkNsxbD7/Uo76BZ9KiK+rpzp9FCeVNTXVnhm7ZwwD7jsRy+8HQvX3j6PGDoyG5qt8wWAlei2I1S3V4rlb1UX7ftaAWzMds1ZbSbbg75DY+KwLK++59f7uezTxrfc/WmBvuej3JbqC9FwOdMkjSZme9RWYccAe4owxtsiwSZTeXIFZanr0eOjfB/HjsNwPb2MLs3Rohn8stqcb0Y1h0lTuWVa8YgCCG+CPw4MCalvL7a8iyHhSEQgJ+/azuxVI7331Jef6LWcMCu3igXKSWPHBvh+i2NHB+a5YvPnGcwmqSjMWgntivFiZj4wpwLwPtu3sLYbIo37G4vq/2BHTJieZVUjx0fZdeGMP1TSf7+mfOEgz4CXg97l9GCeDH8XvXdKG2DUNLm4M17NvDx+/ayf2tLWcnw1nCAmWSWglyevh4+PERXSz2pbJ6/ePwMd5hJ1/1leCXl4FiILVeY51Fdu7mR37//OjY315dVfdcWMQzBXGZ5/5bfOzJihoz9/Pljp/kPb9gOwG0KQ2wATuWVa8YgAF8C/gr4xyrLsWwut8CFgz4+ft/VZT+jLRI0j9CXP2HPT8SZiGX47Xfs5alT43z5hYsg4Z6ryltUy8GJbqeWAQ2VeFR+r4eP3Lun7Ge0ho0QSEGWP4Sn4xmOD8/yW2+7isFokgdfHaA+4OXGrqZl95S5EsWyU3Ux8ZQZHyjd8Xo8gl89sLvsZzSHAhQkJJZx9jGXL3Cof4afua2b9kiA//3oaY4NzrC3o4G2SLD8By2Cz2MkSVXeMJjNF4wy8AVdRH/eXJzLoS1s/P1m0suT69WL07xhVztvvmoDH//mYf7kBydpDhknyFVgGX+nEss1k0OQUv4ImKq2HCshmbl0wi6XtnCAqXhmWcki68j9bdtb+ZUDu5hLGRexq+ya6negjDKRudSALpfWsLHAxZexwL0+EEVKI9zykXt3k80XiCayvK9ML64cjDJdtfq6XMhoubSEjI1GLFv++Do9GiOZzXPz1mY+dMc2wgEvk/EM77qhc8VyLMQyxCqdqoVl4CvB0tdyxtfobIrBaJJbzEuWNjXVMRnP8OM3blJSkQUuChmVixDiAeABgI6ODnp6elb0nFgstuLPLuS1QWPUHDr4MsOhldnYiaEsBQkTM/Gy5XriRJqAB/qOvYxHCD56S5DZtCQwdoKe8ZMrkmMhU+Mp5uIFYrGCMn0dHjdyEsePHiIzsLJJOzJkPGM0Wr6+Hr1g/DuNnz1MKiD4r7fWMRwvsCnRS0/P+RXJcalcGVLZHLFYVpm+Ls4aC9y50yfomTmzomf0mzofn0mULddTA4a+koOnOBQ9w2/e4udc1Mu1YpCenqElPl0efea/ycxc+f+OSxFNGwa57/w5evJ9K3rG4JzxjIm5ZNlyHTJ1nBvr5blnLvKR6wWvj/u5OzKh7O92xlxrZmPl/zsuhzVnEKSUnwc+D3DrrbfKAwcOrOg5PT09rPSzCxl44SIcOcqBe97AxoaVxe6nDg7w9ZOHkP5Q2XJ9sfclrtqU5t633ANAeZ9aHt8dP8TFxASRiFeZvpJHhuHVg9x9x21lJUQvhzg9zt8efgnpry9brkcfOkJzaJj3vOMtgDP6eil1ksf7eolEwsr09erFaXjuOfbvu5EDezeu6BnN/VH+/NVnyfvqypbr+e+dIOC7wE+96y14PcIRffX6zsOp4wTr1emrfyoBTz7Jjdddw4H9XSt6xthcik8/+wQ5b7Bsuc4+3Quc4KfeeY99tuhDK/r2KzN3aAiOvEagvvx1YjnUTMhoLXO5HMJyaTFbNcwtw6U/MzrHno1qkqFXwuf1kFUcr7xcDmG5rCQEcm4spiyWeyWsg0MqY+LpKoWMzo0bB/bKvXJ1JfjNkFFOob6KIaOVL2/N9cZ8jC0jqXxu3LjzwDIGTmDlEPLrPYewlrlcGeVyabYmbJkDMJbOMTyTsu/YdQonqkBUxHhXMmF7J+LK6sGvhBMxceucS2Xjy9JX+Z/pnYgpabewGAEHqmaKVVkr11fA5yES9C3LgPaOr8aGwzyH4FAOoWYMghDi68DzwF4hxIAQ4peqLVO5JLN5fB5RUS8cy0OIlzkAL0zMv5LPKZw4qZzOGrM/WEFlT3N4eUm/2VSW8bk0u1bBgILag0OprFW0sHJ9Ndb58HpE2QtcNl+gbzKh7ITtlfA7kCS1NmiVtopoDvmX7VGtxnwEF5SdSik/WG0ZVkpyQVuBlWAZhFiZC9y5cauDorMLnBPdKK2TqZWUejYEl7fAWQ3GViNkBKoNQuU7XiEELSE/sUx5gg1MJ8kV5CqMLwf0lavcgIJhEOKZ8lyqmaTRMsbpDYfTJ5VrxkNYy6QXHIJZCQ11Pjyi/BDI+Yk4QsA2RU3ZrkTx5K06LA8hUIFHJYSgud5ftkdltfRYrR2vyph40UOodMcbWIYBVdsC5UoE7AVOpb4MAxqswICCsUkrdz5a+nI8JGl7VDqHULNkcoWKFjcwDhotZ8Ken4izuam+4kViKXweDwWJ0mZamXwer0fYu8OV0rQMl/7ceAyfR7BVwZ0Hi+F3MiZe6Y53OQbUXOB2r5JHpTTncpleWSuhORQoW1+2B+p4SFK9R1WKNggKyOQKSk66tixjgVN1p+1S+H3qXVQVBhSMHdxyJuzWNjV3HiyGIyEjBUllMEMg5YYkx+K0R4I0hSq/ZGkxnNCXihwVLG8+rtaGw25dsd6TymsZdQahPBfV6KDofAILwO9Rv4NTpa/men/ZVTNnxuYczx+AUzteNQtcU335BvTseIxdq7DhcCImnlaQowLDQ0hkyyvxXK0NR0B7CLVPJq9ogQsFrphUjpV0HB2PpYmlc47Hd8GZEIhKfV1pgYunc/ZZgHQuz4XJhH1Ps5M40Wsmnc0T9Hkq7k9leAiXl6u03YaUkrNjMcfDH+BMKwbr7xL0VppD8CMxEsaX+45SQ7EaJbrgzIajFG0QFKAuBHL5CfvIsRFu/L1H+P3vGPfknh1bnQojKKkCUXrQqlDxbheuXBb48oUpbv6Dx/itbxwCjPBaviCVtWxejIBPfZ14WqFHlcpzSa+l06Nz7P/Dx/i5v3sRKSVT8QwzyeyqelQqDaj196tUZ1blX3TBPRLDM0nu/pMf8t7PPkM6lyeXL3BhIrHKHpVOKtcsykJG4cuHjD7/o14KEr703AUGo0kOD8wAl97E5gROeAhpRR5CS8hPOm94AKV84Ue9ZPIFHnptkCMDM5wamQPU9fBfDCdi4pm8OgMKl+54v/ZiH3PpHM+cnaDn9Dgnhg19qboEZzGciImrMghW/mR6QYvYb78+xPhcmqODs3zn0DCnRufI5AsrbsOyHAIOn0PQBkEBxgJXebVPc8hPplCskgDj58MDUe6/aTMC+PqLfRzqj7K1NeToEXkLJ1xUVR5Vk7mDmymZsFJKnu+d5D03bSYc8PKPz1/gpfNTRIK+1VngPOonrHJ9JefveF/oneSOHa10NAb50rMXeOnCFB5h3DLmNE7ExK0qtkpbblzJQ3jq9Dh7Oxq4qiPC//fseQ72RQG4ZauaOw8Wo1jW7Mzza+Zg2lpGZdUMwHQiw6amegCODc2SzUvefcMmYukc//RyH9m85MDeDRV/Xzk4cXAok1Oz47X680STWTY2Gk0FJ+MZ5lI5btnaTCTo46HXBogEfdy+o7XiMtdysD0qlWW6CkNGgH31JhjG9OTIHB97517uzLXxmR+e4czoHNdsaqShjJv+KqWWNxwtl/EQpJS81hflZ27rZk9HhE8/dJS/fvIs7ZEA3a31FX/nUuiDaWuATC6vdIGbLqkNPDZkhIf2dTfz7+/axkTMiO+++4ZNFX9fOQQccOnTuXzFh4ag2M+odIG7OGnUg29vC/OhO7aSyhaYiGV42zUdFX9fOTgSMlJlEEKXGoQLpr72bIzwwdu3IiUMzaR4+7WrpC+fMzkEVUULMN9DGI+lSWbz7GgP876bt9BQ52NoJsV913cqu5RqMfwOH0zTHoICVFbNAPMuQ784maDe76WjMUhH4wZ+9z3XEkvleMcqTdhiCETthA0FKh96zfYObr6+ALa2hdi1IcKf/LsbGJhO8pMrbIO8XByJiasaX/WXjq++qaK+Opvq+NyHbuG1vmn+4z07K/6+cvB7HDjnokhfjWb3gFJ99Vv6ag0RCvj43Idu4bHjo/zG266q+PvKwTW9jNYyToSMLPqnEnS11Nu7j1+4e0fF37Mcijs4dc/M5As0q0ySzvMQEggBXS2G+/4zt22t+HuWgxNJv0yuoKS+vekySeX+aWOB624xDlS9+4ZNq+Z9gjMho7Si+SiEIOyf71FZBrTbPIB2z54N3LNndcK3AF6PwCN0yKimUXlSGebHLPunk/bgqwbWDq42Y7yX86iMlh4qQlIrwedA0k+VvhqCPgTzF7j+qQTtkQDhYHX2hk7ExFXlqADCfrEgJDl/w1EN/F6PPodQyyiPWcaNBU5KycBUgu4qDj4nksrpXIFghX15wLhgxyuMpLLFxamE4w3/FqNYpquy95Oa8eXxCCJ+iCbnh4yquuFwICauaj4CRPzikhBbZ2Od4z3EFsO6hMkJtEFQgKoJG/B5qPMWPYSZZJa5dK7KE9ahqhlFLn0kIOYl/fomq20QarcqCy7d8fZNJRzvv7MYTsTEM3k1ITawDMJ8j6qa8xGMObnuL8hZqxQKkmxeKlngwJqwxgLXP5UEoKul+hO2FqtmgHkx3rlUlsl4hm1tzp8YvRI+J0JsijYcYIwvK4eQzRcYiqaqahDsmHgN9soCLtlwXJxMsK3KBsHn9dTOwTQhRFgIUT1/qcZQcdlLKZFA0UW1E36rUN98JRyrE3fApbcqjKo5YR1JwivyqADCgaKHMBxNkS/Iqu94VS9wKvUV8RdzVMlMnrG5dFUNKBh5varlEIQQHiHEzwohviuEGANOAsNCiGNCiD8VQuxxRrS1gWUQVLn0xgA0Jmz/goqGauBIN0qlHkJxgSstoawWxe6wtRsTn4ov2HBU0QMFozKrFnMuYOgrlS2QyuYZmK7++ALLgFYvh/AksAv4FNAppeyWUm4E7gFeAP5YCPFzjki3BlDVN8UiUhoymk7QVO+ncRVOjF4J1Tc0SSnN3jxqnMxIiUGwDllVM2Tkr+FzCADNQcH4XBopZU0YUDA2HbUcMgIjLGmfcam6R+Wch1BOrdnbpJSX9H+VUk4B3wS+KYSo3opVZWyDoMpFDQhOzlgeQrKq4SJQ7yGo9qjCZshISknfpFFCGalSCSVg989RHTJSlSRtCgoy+QLRRJa+qQR+r6DTbPtRLfxeD/lCfuk3lonqnAsYYaO+qdowCAGvp3rnECxjIIT4C3GFs9mXMxhuwQkPYTaVJV+Q9E8nqu7Oq84hqDagzUFBOldgNpnjwmS8qt4BGJVPASdi4orGV0vQmMJjc2n6phJ0tYQqbgJXKX6Peg8hqLDKCIoGIRL0rUpTycVw0kNYjtZiwLeFEGEAIcQ7hBDPOiPW2kF5UtkvkNIYgAPTyarvRvyKu3eqNqBt9caEHYwmjZLTKusLrBCI4hCbQg8BYGwuVRMllKA+Jq7SgDaYIaOJWMY0oPWr0rNoMXwe56qMyvatpZS/I4T4WaBHCJEG4sAnnRFr7aB6x9tUZwy2Vy5MkckVVuXe5MWwQ0aKFrh0Tm3IqM3U1/mJOMOzqarHw8EoPVU1YbPmVlBlDgFgdDbNhYk49+9z/k6NpVBdV68yZNRubjj6pxL0jse4drPzdx4shd8rSDvU3K5srQkh3gr8RwxDsAH4dSnl045ItYZIK97xdoaMAfj4iTFgdW5FWwzVB4fUewjGc54+M46UrMotX0sR8HmULXCqPdBm04Ae6o8ym8qtyqVBS+Gv4bLTOp+gPRLkzOgcfVMJdtfA+KqV1hWfBv67lPIA8JPAPwsh7nVEqjWE6gWuI2w85/ETowDsXIV7kxfD71BSWZ1LbzzLMqCrcWvVUqh06VV7oEEzifzIsREA9mysDYNQq1VGANvaQvScHqcgWZV7ppfCV82ksoWU8l4p5TPmz0eAdwF/5IxYawfVVTNBr2BzUx3RRJbWcKDqCSwhhBECqdGkskcIdrSFmYilCfo8bK+BkJHf54C+FDbr27khzNhcGoCrOmphgRPKcgiFgiRXkGoNQmvILm3eXQMGodoH065UWTQMvHWx97iB4gKnbsJebe5yb93WUvUEFphJUkU7Euv+46DC5mD7upsBQ2+rcSvaUvg96pqPqfZAoXjVY3skQFskqOy5K8WvcMer2gMFuMkcXwB7ayDEptKALqSsg2lCiP8ihJjXWF4IEQDuEkL8A/Dzjki3BnBiwj7wpp10t9bzS29c3bsProQRs1SbVFblIQB8+K5tdLfW89G37lb2zEpQGePN5PPmM9VtDH761m62t4X42Dv3KntmJfgVllE6Mb5+7MZN7O1o4JPvuromNhw+xSG2ec8u4z33Ab8IfF0IsQOIAnWAF3gU+HMp5evOiOcM33iln8SMmoMw1oRVaRDu3NnG0x+vnfSMkfRTs4VzwoBev6WppvTl8wpyik7mqK7KAuNkcs/H3qLseZWiMqmccUBf7ZEgj/zmm5Q9r1JUn3MpZUmDIKVMAZ8DPmeeSG4HklLKqDMiOc+nvnWEd2338R8UPMuJBa7W8Ck8OOTEhK01fF4P+czS7ysH1WWntYjPU7tVWbWIypzeJc9ezpvNE8nDzoiyeqh0UVUnSWsRla0FnNjx1hoBryCmOoegMEdVawR86mLilr5UtfqoRT717mt4Q8OkI89edtMX83Da/UAeEMB3pJRfVy2Yk6hM+qk+h1CLGAa0dpOktYbPozCHoPW1LNygr9ZwgJY6Z/5+K+kC9mYp5QesX4QQnwXWlkHwKYyJKy47rUVqvQqk1vD7VOpLfY6q1lA6vlzgsTvJSgxCUAjxY0A/0AVUtx3nClB5VN4NA9Dn9ZDLqXmWG/Slsk7cFfpSGcJ1wYbDSVaitV8FWoB3A63Ar6kSRghxnxDilBDirBDCsT5Jqk+S+jwCT5U7RjpJQGlZoPpzCLWGX2GzNneEJNXpyw0hIydZtocgpUwAX7F+F0J8AviTSgUxr+X8LPB2YAB4WQjxbSnl8UqfvZCAT+3BofU++PxeDwnVOYR1vONVeZDPHVVZCj12F4RwnWQlSeVvlP4K7EOBQQBuB85KKXvN7/kn4L2AcoOg2kV1g0FQvcCpPGhVa6g9mLb+q2ZU1tW7oSrLSVaSQ5iVUv6y9YsQ4q8VybIFIy9hMQDcsfBNQogHgAcAOjo66OnpWfYXpRJJAv78ij67kAv9acireRZALBZT9ixVzM2kyOTU/B3Pns/g88BTTz1VuWDUpr4mxtJk8wUlch2/aJxwe/nF5+3e/JVQi/oaHMiQK0glcr02YiS7Dr32KpNnKzeitagvcE6ulRiE/7ng90+rEATD21jIJfssKeXngc8D3HrrrfLAgQPL/qKWY89SSM6xks8u5NujrxOJTyl5FkBPT4+yZ6niyxdeZm5oQolcPbPHqB8aWNf6enT6CIfG+5TIdfpH5+DESd7y5nuUXA1ai/p6PXeaQu8Z3vSmN1eci5t+bQBeP8Tdd93BDgWdgmtRX+CcXMu5D+EpIUSjlPK8EOJXhBC/IYQImHcrq2AA6C75vQsYUvTseQS8Qt05BJeEjJQl/fIFgv71rS+Vd966IedihcOyCkrBdVK5MpajtWYp5awQYj/GRTktwBcUyvIysEcIscNsnPcB4NsKn2+j+iDMep6soD5Juu715UDZ6frOuZh3bihQmhsMqJMsxwfNCiF8wL8H/kRK+Q0hxCuqBJFS5oQQHwEewWic90Up5TFVzy9F6cGhXGHdVzQEFHZXdEVVlk9dktTyQGuhDbpT+Mx7u7MKlOaGMl0nWY5B+AxwCKPTqXVGQOltEVLK7wHfU/nMy6H64NB6H3yqu1Gue32ZzQCllBUv5JlcgeA63+36fZZBUOAh6LLTiljOjWn/iFH1c72UMimE2A0875hkDmKUUaqLia/7Bc4nyKk6h+AGfdn3UKsJgax7fZmJZBUegg4ZVcaytCaljEkpk+bPZ6WUv+CMWM6i0qV3R0xcbYht3evLq3DHmyus6zMIUNSXqhzCeu8c4CTre6RdAb/i/v7rfQcX8KlNwq/3Bc5Kkqqomsm6wqMy9JVR5CGs9/HlJK7UnOrunSovQK9F/F6hPEm6nrHLKBUMMjeF2HIqyk5doC8ncaXm/D61/f3XfQjELNMtKIqJr/eEn88qo1SVQ1jn46toQHXOpdq4UnMqY+JpFwxA6++nQyDlYS9wisoo17u+fApDbG4woE7iSs2pjYnn1/2OV/XBofU+Ye0cgip9rfPxFVAcYlvv89FJXKk5lTFxN8QsVR4ccsMCZ8fEVejLBQucz6M4xLbO9eUkrtScFROXCvIIrtjxmhNMSRWIiwyoqqoZPb7Kxw3jy0lcqbmAopORuXyBglz/x+QDykNG678qC9Tpa72XUfo9as8hrHcD6iSu1JxP0clIt9zfqjJJ6gaXXqW+XJGE96k9qbze9eUkrtScqgnrlmPyPkX6klK6wqX36aTyslCao3LB+HISV2pOVTMtt/Ret0JGmQrrxN3SeCygD1oti4Di1hXrfYPmJK7UnKpmWm5ptavqJKn2qJZP2gULXNGj0iGjauNKzakKGVkGYb3veFUtcG7xqFSfQ1jv46t4Y1rl+nLDQT4ncaXmVIeM1v+EVRsyWvdVMzrnsixsA6oPplUdV2pOVcjILVVGqmLibvEQ7INWlZY1FyRSrv8Qm9Lmdi4IsTmJKzXnV5TEKsbE13tdvZodb9YlBtTSV6UHrez7lNe5vnRVVu3gSs2pOhnpmh2vopBR2iVJZfUbjnWuL6V3KucJrvN29E6yvkfaFVAXMsoD698gqA4ZrfcYr31SuVJ9WWW6/vWtL49H4BGVz0e3dA5wEldqzvIQKt3BpbMu2cHpKqNlYVVlZSpMkrrFQwDwCQUelUtCkk7iSs2pbl2x3ndwdoxXUZXRep+wRY+q0hCb4YEG/es/BOL1KAzhusCAOoUrNacq6eeWmHhAcZJ0vevLp6iM0i3jC9R4CPa5oHW+QXMSV2ouoChk5J6YuJr+/q4JGVkeaMUegnsWOK9H6N5iNYArNacsZOSSBU7ZQT6XhIyEEHgVJEntDYcLFjhDX4qq2Nb5+HISV2pOWZ24SxY4y4DqEFv5eD3ao1oOPo+KVjJmzkWXna6Y9T/SLoOqkJHbqox0iK18fAp3vG5Y4LxClzXXAq7UnLoqozweUSwzXK94FdWJ2ydv17m+wPAQdEiyfLweUXmvLBfpyylcqbliTLzyCeuG3RugJibukhAbgE8IBVUzVgjEDfpSd5DPDePLKVypuYBXUZLURX1TfCrrxF2gM+0hLA8V+rJCuG4woE7hSs2pPJjmhskKaurEs/kCQhT1v57xisrLTt2041VRZeQmfTmFKzXn9QgElVeBuOE2KwtVdeIBrwch1r9B8HkUHExz0Y5XRZWRPodQOa7UnFUnnlEQMnLDZAVMfSkwoK7Rl9Ax8WXg9ajLubhBX07hWs2pqXt2zwLn86hpPuYWA2rkXCotazYXOBfseH0qD/K5pNDDCdb/SLsCqg4OuWmBUxUycgNeoSAkaeao3BBiU5JUdlES3ilqQnNCiJ8SQhwTQhSEELeuxnd6hVASMnLL4PMKRTkEl+hLlQF1zYZDVN4d1u4+7BKdOUGtaO4o8H7gR6v1hUomrJuqjBSEQNxkELyeyjccaRcZBK9HKEvCu8ULdQJftQUAkFKeAFbVNfYpChk11tWECh1Hib5cZED9HkgpuCDHLYubT1GZrt8r8LigrNkp1txqJoR4AHgAoKOjg56enpU9RxYYHBld8ecBpmcSBHKeip6xkFgspvR5yijkmZiarki20fEk6Twu0VeOaHyuItn6B1PkswVX6KuQz5JI5SqSrfd8Gi/SFfpySq5VMwhCiMeBzsv80aellP9W7nOklJ8HPg9w6623ygMHDqxInsCz36e5tZ0DB1aesvC/0sPmziYOHLh5xc9YSE9PDyv9OznJ/37lB3jrGzhw4O4VP+NzJ58nIuDAgbuUyVWr+vrbwz/AVwhUJNvX+1+hWSY4cOBNyuSqVX19/eQjSCErku2J6FHqx4eU/v1qVV9OybVqBkFK+bbV+q5y8KmoAsnm3eXSK6iacUuIze8RFd+pnM4VXHE5Dlj6ylf0jHQur0tOK8Qdo+0yGGVuCurqXTJhddXM8vB5imWQK8VVOQSPUWWUryCP4KaiBaeoCe0JId4nhBgA7gK+K4R4xOnv9HlQsoNzy4RV0Wsm66aksqh8fLlpgbP2VZXozE1FC05RE/67lPIh4KHV/E6/R5DWO96y8SkIgaSyeepc4tL7lIRACjS4JMRm38qXK1AfWNkYSWfds0FzCtdqz+cptgZYCVJKV+1IVJwkTWULBP1uMQhGCKSgQyBlYXkI6fzK56SbQrhO4Vrt+Svs75/NS6R0z6nISvUFhgF2k76gMp25KUlqG4RsJfrSHkKluFZ7fo+oaPClzHBAnUt2vH4FOZdULu8efXmNEEgliWU3eQh2yKgCA+omfTmFa7VX6Y43ZYab3BIC8XtERYtbviDJ5iV1LnHpfTpJuixU6MtNrT6cwrXa83sryyGkMsbArXeLQfAai/pKz25YBtQtHoJPRcgo654FTkWVUTrrHg/UKdwx2i6Dr8IdbzFk5A4V+j2VhUCsz9W5ZoErVs2slLSLPIRKxxdAMpt3zQbNKdwx2i6DFTKScmVVIPaO121JvxVOWNd6CCvUV6EgjRJMra+ySWkPoWJcaxB8HpBy5YetUmZC2i0DsGgQVhZmc5tBqDQEYnmgbjEIxaqslYdxk9n8is8waAxcaxD8FVY1FBc4d6jQrppZYWVW0YC6Q18+swPzShe4ZMY0CC5Z4CodX1JKUtmCazYcTuGO2XkZinXPK5ywLt3xrjhklHNXVZavwpi428ZX0YBWmKNyyYbDKVyrvUoPDrk1BFJxyMhlOZcVh4yy7goZ+SrccNgelUv05RTuNQgVuqhpl4VAKq2acZu+Kk2SJl1Y1gyVe6Bu0ZdTuGN2XoZK68TddlK50h2cfZDPNR5CZTkqK2TkmhxChRsOy0Nwy3x0CtcahEp7p7jNpS/u4FYYMnLZuQ1fhePLdTmEikNs7qr6cwp3zM7LUGmZm9sGoH1wqOIqI3foK1BhCMRtMfFKc1Ru86icwsUGobIFLpnN4/cKvOZz1jv6YNryCJg5quQKq9hSLlvgPEJUdOdGsWjBtUuaElyrvWL/9ZUPQLdUzIDCHZxrDILx/1SFZc1u0RcYreRTlYZwXWJAncK1BqHSGG8qW6DORYOv0nbO8XQOj3BRDkGA1yPs0M9ycVvICKA+4FuxR+VGA+oE7pidl6HYTGulEzbnqsFXaRI+ns4TDvoQwh0hNiEE9X5vxQtcXcA9U7Q+4CGZya3os7rKSA3uGW0LCJpX1Zbu4PIFycG+6bKuPYylc6657xYuHzKSUvJa33RZV2vG0zkiQffoC4zFqdQgSCk5MjBDooxFL5XN4xG46gawkP9SD+H40CyxdBn6Mj1XfYVmZbhWe0EzBBIvMQifeeIM7//cc3z+6d4lPz+XyhF20QLnFeARzIvxfu2lPt73uef44++fXPLz8UyOkItCbGDseFMl4+sHR0d4z189w8cePLzkZ5MZo5WzWzwqMOL/iRJ9vXJhind/5ml+6UsvL/nZWMowGg1Bv2PyuQEXGwTj/6Uu6rcPDQHw4KsD8957enSO//bQEUZnU/Zr8UyOBhcZBCEE4YBv3oT99uuGvr55cIB8iVd1cTLOJ795mIuTcfu1WDrvOg+h3j9/gXvk2AgAjx4bmZdsHptL8alvHebo4Iz9Wjzjvs6d9X7vPI/9sROjALx4fmre3JtLZfkf/3aUF3on7ddi6Sxej3BNjsopXKs9n0fg9wrbQ5hJZDk/EaexzsfZsRhT8Yz93o/9yyG+9mIff/H4Gfu1mMs8BIBQ0GuHO6SUnBiepc7vIZrIcm48Zr/vDx8+zj+93M8fffeE/Vo87T59LcwhHB2aRQij5fprfVH79T9/7DRff6mfT//rUfu1uVSWhjp37XZDgfn6er1ERy+dn7J//sLT5/nH5y/y2984ZN9nMpcyQrhu8qicwLUGASAU8Nk7krPjcwD87B3bAHitbxqAoWiSQwPGzu3Jk2P2Z2PpHBEX5RAAwgGfbUCHZ1LMpnJ88PatQHHyprJ5njo9DsDTZ8btnIMbDUJpDiGRyXFuPMYv3r0DIYoLnJSSx08Y4+pQf5TZVBYwFrhGl42v+kDRQygUJEcGZ/jQHVsJBby8fKFoEJ46ZehrMJrk3LjhhcZS7srpOYXLDUJxxzswnQTgx27YhNcj7B2cNRDfd/MWRmZTTMTSgJlUdtkCFwp6SZgJvlMjhgF91/WbaKr381q/YUBf74+SzUved/MWUtkC58aMCRvPuC+pXB/w2qGhc2NxpITbtrewZ2OEQwNRAC5OJhifS/OOazsA7LDRbCpLY727PITSENtEPE0ik+eqjgZu7GqyN2WxdI6jQ7O87RpDX8eGLH3liOj8QcW42iDUB7z2jncoasQod24Is2djhCPmxHz14jShgJf37tsMGAthNl8glS24bscbDvjsio/+6QQA29tDxoTtN/T1srnztTyH06OG4TDKTt0bEx+MGhuOLc0hbuxq5lB/FCklL5kbjl964w4AjpgL35wLd7ylISNrPm5urueGLU2cGJ4lmy/wyoUp8gXJh+7YSsDr4fjwLGCF2NylLydwtUEIl4SMBqMJmkN+wkEfN3U1c3jAmLAvX5jmlq0tXL+lCYATw7PEzUXRbTvecLCYVB6KpvB7Be3hIDd1NXNqdI5UNs/LF6fZ29HAvu5mfB5hG4SYC0NGpTmE4RnDIGxuruOm7mYm4xkGo0lePj9FS8jP7Tta2dRUx0nT85pNZml0WQ6hvmQ+DkeL+rqhq5lMrsDp0TleOj+FzyO4Y2crezoiHB8yDIIbPXYncLVBqA947cV9KJpic1M9ADd0NTGdyHJ8eJZTI7Ps39ZCeyRIWzjA2bGYvUt2Ww4hFPASN0NswzNJOpvq8HgEN3Y1kS9IDvVHefXCFLftaCHg87CjPczp0RjZfIFMrkA44C591ZWEjIZnUgR9HlrDAfZ1NQNwqH+Gly5Mcdv2VoQQ7N4Y4eyYkZx3a8goky+QyxdKPCrDQwAjnPbi+Slu6GoiFPCxe2OEXjOH4EaPyglcbRDmu6hJtrQYBuHGLmMA/tUPz1KQcPfudsAIJ/WOx4sGwWU7knDARyJt7eBSbDIN6E3dzQD84wsXiWfyvGFXUV/nJ2J2jbjb9LUwZLSpqQ4hBHs7Gwh4PXz70CAXJxPcubMNgF0bIpwbj5HO5UllC65LKlvnVBLZPEPRFKGAl6Z6P9taQzSH/Dx2fJTX+qZ5ozkfd7SHGZpJksrmmUtlXbdBcwJXG4TSuvrB6SRbmo0F7rrNTWxsCPL9oyOEA15u3toMwM72CL0TMeZcusCFgkUPYWgmyeamOgA6GuvY3hbiu4eHEQJ7gdveHqZ/Kmkn4lvDgeoIXiVCAS+JbJ5CQTIcTdoGNODzcFN3E48cM+rs324mlHdvjJDI5DkzangJbis7tc5dpDJ5hqJJNjfXI4TA4xHce/VGHj8xRkHCgb0bANi5IYKUcGEybnYOcJe+nMDVBqE+YFTNzKayzKVzbG42FjivR/Dv9ncB8L5btuA32wfs2hhmIpbhvOmmtkXctcCFAz7i6Rz5gmR0NsUm04AC/MxtRhL5vus67YV/Z3uYTL7AUbMSxG0Goanej5RGOGN4JsXmEn399K3dANyytZnu1hBgGASAg2bJc2O9uzYcVm+wRCbP8IzhUVm87+YtAGxrC7GvuwUwxhfAscFZsnmpQ0YKcLUGw+YObqikAsTiN992Fbdvb+UNu9vs13a2GxPWqgxpjwRXUdrqEwp6KUgYmE6QzUvbQwD4T2/aybWbG9m/rcV+bXubMWEPXowC7jMILSHj7zseSzM6m7I3HAA/ub+LHe1h9nY22K9ZBuGVC4ZBaHJZDsFa0OdSOQajKa7Z1Gj/2T17NvDPD9zJjg1h+w6SHaZBsM50bHDZfHQCVxuESJ2PuVSOgaliRYNFwOfhLVdvnPf+nRuMAWidTbAmvFuwQmRW4tMKgQB4PII3X7Vh3vutCWvpy20eVUvYWNBPj85RkPP1JYTg1u2t897fFg7QHPLz7NkJADY21OEmLAM4HjPO+5R6VAB37Gyb93s46KOzsY4XzxstLDY0aINQKa4OGTXXB8gXJKfM0sgtCwbgQrpbQ/g8gouTCdojAQIuu53JqhKySiOtJPyV2NAQJBzwcnJkDp9HuHCBMwzgCbNWvnTDcTmEEOzaEGHSbJvS2eQyfYUMg3Bi2BhfCw3C5djRHubCpHEmRhuEyqmJFU0I8adCiJNCiMNCiIeEEM2r8b3WADw6OEPQ51lyQPm9Hra1GWGlbWY4xE1YIR/rNO1SBsGqqAFjcXPLdaMWLeb4smrly1ngdm8wwkb1fi+tLvNALQ/heJkGFIpeOxRDlJqVUxMGAXgMuF5KeSNwGvjUanypFfI5PDBDV0t9WY2xrt1slKSWxn7dQku4qK/GOl9ZB6du2WrkFKz4uJtoNseX1aaiawkDCrCnw9DThoYgHpcZ0GbTozrUHwXK23RZ4wtw3cFHJ6gJgyClfFR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||
},
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||
"metadata": {
|
||
"needs_background": "light"
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||
}
|
||
}
|
||
],
|
||
"source": [
|
||
"s_10 = s(x, 10)\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"plt.plot(x, s_10)\n",
|
||
"plt.grid()\n",
|
||
"plt.xlabel(\"$x$\")\n",
|
||
"plt.ylabel(\"$s_{10}(x)$\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 180,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"output_type": "display_data",
|
||
"data": {
|
||
"text/plain": "<Figure size 432x288 with 1 Axes>",
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||
},
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"metadata": {
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||
"needs_background": "light"
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||
}
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||
}
|
||
],
|
||
"source": [
|
||
"s_20 = s(x, 20)\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"plt.plot(x, s_20)\n",
|
||
"plt.grid()\n",
|
||
"plt.xlabel(\"$x$\")\n",
|
||
"plt.ylabel(\"$s_{20}(x)$\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 179,
|
||
"metadata": {},
|
||
"outputs": [
|
||
{
|
||
"output_type": "display_data",
|
||
"data": {
|
||
"text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
|
||
},
|
||
"metadata": {
|
||
"needs_background": "light"
|
||
}
|
||
}
|
||
],
|
||
"source": [
|
||
"s_100 = s(x, 100)\n",
|
||
"\n",
|
||
"plt.figure()\n",
|
||
"plt.plot(x, s_100)\n",
|
||
"plt.grid()\n",
|
||
"plt.xlabel(\"$x$\")\n",
|
||
"plt.ylabel(\"$s_{100}(x)$\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {},
|
||
"outputs": [],
|
||
"source": []
|
||
}
|
||
]
|
||
} |