{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Součet harmonických složek\n", "==============================\n", "\n", "Mějme následující časový průběh:\n", "\n", "$$ u(t)=\\frac{8}{\\pi^2} \\cos(\\omega t - {\\pi\\over 2}) + \\frac{8}{(3\\pi)^2} \\cos(3\\omega t +{\\pi\\over 2}) + \\frac{8}{(5\\pi)^2} \\cos(5\\omega t -{\\pi\\over 2})+ \\frac{8}{(7\\pi)^2} \\cos(7\\omega t+{\\pi\\over 2}) + \\dots$$\n", "\n", "\n", "Časové průběhy\n", "----------------" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "vytvoříme jednotlivé harnonocké složky" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "t=linspace(0,1,1000)\n", "u1=8./pi/pi*cos(2*pi*1*t-pi/2)\n", "u3=8./3/3/pi/pi*cos(2*pi*3*t+pi/2)\n", "u5=8./5/5/pi/pi*cos(2*pi*5*t-pi/2)\n", "u7=8./7/7/pi/pi*cos(2*pi*7*t+pi/2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "vykreslíme jednotlivé harmonické složky" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WHR3tsnirV6++7M/vuEPTpk93XTxncXW8KVOmuDSe0ZenK+M5K3dnzmhaw4aa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\nvljChkhNiiI2JrjoIuDFF2Vnoz9eXiciIvqVzSYuew4fDpyxzDKRz15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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize=(10,7))\n", "plot(t,u1)\n", "plot(t,u3)\n", "plot(t,u5,t,u7)\n", "minorticks_on()\n", "matplotlib.ticker.AutoMinorLocator(9)\n", "xlabel(r'$\\rightarrow$ \\\\t [s]',fontsize=16, x=0.9 )\n", "ylabel(r'u [V] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "grid(True, 'major', linewidth=1)\n", "grid(True, 'minor', linewidth=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Vykreslíme celkový časový průběh" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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N0aEdO6B3bzWc4k+1a8Nzz0G9euZ0+4IFtisSEQkuNZ0WBGGmMy1tz20uH37Y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\nmzn5iHQAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "u=u1+u3+u5+u7\n", "\n", "figure(figsize=(10,7))\n", "plot(t,u,linewidth=2)\n", "minorticks_on()\n", "xlabel(r'$\\rightarrow$ \\\\t [s]',fontsize=16, x=0.9 )\n", "ylabel(r'u [V] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "grid(True,'both')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Vydíme, že složením několika napětí tvaru funkce sinus dostáváme tvar trojúhelníku -- tedy lineární funkce**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Amplitudové spektrum\n", "----------" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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6xS9+oQcPHmh/f1/PP/+8/AzsBpdKpaJ0Ot00KxiNRlsWjOVyWXNzc01jhoeH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\ny1IikfD0BAzasRSueMJyXH8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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "U= 8./pi/pi, 8./pi/pi/3/3 , 8/pi/pi/5/5 , 8./pi/pi/7/7\n", "f=(1,3,5,7)\n", "figure(figsize=(10,5))\n", "stem(f,U,markerfmt='o' )\n", "xlim((0,8))\n", "xticks(arange(0,8))\n", "minorticks_on()\n", "xlabel(r'$\\rightarrow$ \\\\f [Hz]', x=0.9 )\n", "ylabel('U [V] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "title(u'Amplitudové frekvenční spektrum')\n", "grid(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fázové spektrum\n", "------------------" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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G0VwCAAAgMMxcWsDMpRlzUQCagWML0BhmLgEAAGANzWWASqWSxsfHNTg4qMHB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\nEgAAAIGhuQQAAEBgaC4BAAAQmP8PnqW9QYuZzjoAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "figure(figsize(10,5))\n", "fi= 2 * ( -pi/2, pi/2 )\n", "stem(f,fi, basefmt='k.')\n", "xlim(0,8)\n", "yticks((-pi,-pi/2,0,pi/2, pi),(r'$-\\pi$',r'$-{\\pi \\over 2}$', '0', r'{$\\pi \\over 2$}', r'$\\pi$') )\n", "xlabel(r'$\\rightarrow$ \\\\f [Hz]', x=0.9 )\n", "ylabel(r'$\\varphi$ [rad] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "title(u'Fázové frekvenční spektrum')\n", "grid(1)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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kxYy8uJETM/JiRl46R3G5B8uylEqlVCgUlEqlVK1W2xo/NjZ2SJEBAAD4Ez2X\ne4jFYlpdXZUkVatVJZNJLS4utjQ2n8/r4sWLevDgget78Xhctm3rueeeUzwed3oZTjp6LgEA8Jdi\nsajLly8rGAxqfX29pTE8W7yJUqmkUCjkLPf29iqfz7c0tlqtKhQKKRgMNt0mGAxqbm6u0zABAAAO\nTTwe19mzZ9saw2nxJizLchWHoVCopao9n89raGhoz23ouTQpeh2AL9H/Y0ZezMiLGzkxIy9m5KVz\nFJdNbG1tHWhcoVBQIpHocjQAAADHA6fFm+jv73fNLu5XcFYqFYVCIfX09Oy7//v37+vy5cvOVHMw\nGNTg4KDrXlInbbnOL/H4YTkej/sqHj8t1/klHj8sc7y4l+vr/BIPy/5erq/zSzxeLde/3tzc1K1b\nt3TmzBm1igt6miiXy0omk84FPdL2afG9CsxcLtfw/cnJSaXTaY2MjGhgYMBZb/oFggt6AADwo3br\nllOHF8rxFo1GG5Yty2o43W1ZlmvM6Oioksmk858kvfjiiw2FZR09lyZFrwPwJT6EmJEXM/LiRk7M\nyIsZeekcp8X3kMlklEqlFA6HtbKyokwm43xvdnZWoVBI169fd42rVqu6ceOGAoGAfvSjH2l0dNRY\nYAIAADxsOC3egUKhoJGRkbbHcVrcjNPiAAD4D6fFjwnbtjU3N0eBCQAAfKt+UU877XwUlwdULpcV\ni8U62sfc3FzD1Wkoeh2AL/EBxIy8mJEXN3JiRl7MyEujeHz7Jup7PRhmN3ouD2j3BT8AAACg59IT\n9Fya0XMJAID/0HN5TNBzCQAA/I6ey2OGnsvdil4H4Et8ADEjL2bkxY2cmJEXM/LS6CA9lxSXAAAA\n6Bp6Lj1Az6UZPZcAAPgPPZcAAADwDMWlR+7cucMFPS5FrwPwJY4RM/JiRl7cyIkZeTEjL40OckEP\n97n0yOnTpzU3N+d1GAAAAE3VL+hpBz2XHqDn0oyeSwAA/IeeSwAAAHiG4nIPlmUplUqpUCgolUqp\nWq3uO6ZUKqlQKCiXy2lqakqVSsW4HT2XJkWvA/AljhEz8mJGXtzIiRl5MSMvjei57LLx8XGtrq5K\nkmKxmJLJpBYXF/ccc+HCBW1ubqqnp0dbW1saGxtz9rETPZcAAMDvDtJzycxlE6VSSaFQyFnu7e1V\nPp/fd1y9sJSkvr4+BQIB43bt3On+5Ih7HYAv8RQnM/JiRl7cyIkZeTEjL52juGzCsixXARgKhbS+\nvr7nuHqU+dzJAAAgAElEQVRhKUnpdFrz8/OHEh8AAIAfUVw2sbW1deCxlUpFqVRKFy9e1NNPP23c\npp3ehZOj6HUAvkT/jxl5MSMvbuTEjLyYkZfO0XPZRH9/v6sAbLXgHBgY0PT0tHK5nC5evKibN2+6\ntvnHf/xHDQ4OanBw0Hkg/ODgoOty/5O1vK76qXF/xMOyn5fX19d9FQ/L/l2un3HySzx+Wa7zSzx+\nWeZ42V6uf/2rX/1Kq6urOnPmjFrFfS6bKJfLSiaTDRfjhEKhPQtMy7KUy+U0PT0taXt2MhQKybKs\nhmbYZn/gJx33uQQAwH/arVtOHV4ox1s0Gm1YtixLiUSiYXm3SqWi3/72tw3b9PX1tX2VFQAAwHFF\ncbmHTCajVCqlXC6ndDqtTCbjfG92dlZTU1MN24+MjOj8+fPKZDLOmEKhYNw3PZcmRa8D8CVmuM3I\nixl5cSMnZuTFjLx0jp7LPUSjUWcGc3R0tOF7i4uLxsJx53a7x+x0//59zc3NKR6PO9PNAAAAflIs\nbt9EvZ1bKNJz2YFCoaCRkZG2x9FzaUbPJQAA/kPP5REpl8uKxWJehwEAAOArFJcHFI1G1dvbe+Dx\n9FyaFL0OwJeY4TYjL2bkxY2cmJEXM/LSOYpLAAAAdA09lx6Ix+OybVvPPfccF/TsQM8lAAD+UiwW\ndfnyZQWDwX0fgV3H1eIeCQaDmpub8zoMAACApuLxeNv36+a0uEfouTQpeh2AL9H/Y0ZezMiLGzkx\nIy9m5KVzFJcAAADoGnouPUDPpRk9lwAA+As9l8cIPZcAAMDv6Lk8Rui5NCl6HYAv0f9jRl7MyIsb\nOTEjL2bkpXMUlwAAAOgaei73YFmWcrmchoaGVCqVNDExse9TecrlslZXV2XbtlZWVjQ/P6+BgYGG\nbXi2uBk9lwAA+E+7dQs9l3sYHx/X6uqqJCkWiymZTGpxcbHp9tVqVaurq0omk5KkQqGgRCKh27dv\nu7a1bVtzc3Nc0AMAAHyrWCxqc3NTwWCw5TGcFm+iVCopFAo5y729vcrn83uO2djY0Pz8vLM8PDws\ny7J079494/b14hJ1Ra8D8CVmuM3Iixl5cSMnZuTFjLw0ql/QQ3HZBZZluRIZCoX2vAx/aGiooQBd\nXV1VX1+fenp6Di1OAAAAP6G4bGJra+tA43Zerp9Op5XJZIzbtfMJ4OSIex2ALzG7bUZezMiLGzkx\nIy9m5KVz9Fw20d/f77pdUDsFZyaT0QsvvKDnn3/e+P07d+7o8uXLTjEaDAY1ODjoapo9acv1AtMv\n8bDMMssss8zySVyuf725ualbt27pzJkzahVXizdRLpeVTCadC3qk7dPirRSYhUJBgUBATz/9tPH7\n8fj2E3pavdP9SREIFFWrxb0Ow3eKxaLzR48vkBcz8uJGTszIixl5cTMVnns5dXihHG/RaLRh2bIs\nJRKJhmWT+oVA9cIym80eXpAAAAA+w8zlHsrlsvL5vMLhsFZWVvTKK684F+eMj48rFArp+vXrzvaW\nZencuXMN+4hEIvrwww8b1rX7CeCk4D6XAAD4T7t1Cz2Xe4hGo84M5ujoaMP3FhcXVSgUGtaFw2E9\nePDgyOIDAADwG06Le+TOnTuam5tj9rJB0esAfIljxIy8mJEXN3JiRl7MyEuj+kU9uy9y3gszlwdU\nLpcVi8UOPP706dOam5vrXkAAAABdFo/HG26z2Ap6Lj1Az6UZPZcAAPgPV4sDAADAMxSXHqHn0qTo\ndQC+xDFiRl7MyIsbOTEjL2bkpRE9l8cIPZcAAMDv6Lk8Jui5NKPnEgAA/6HnEgAAAJ6huPRIO70L\nJ0fR6wB8iRluM/JiRl7cyIkZeTEjL52juPTI/fv3uaAHAAD42kEu6KHn0gP0XJrRcwkAgP/QcwkA\nAADPUFx6hJ5Lk6LXAfgSM9xm5MWMvLiREzPyYkZeOkdxuQfLspRKpVQoFJRKpVStVlsem0gk9vw+\nPZcAAMDv6LnsslgsptXVVUlStVpVMpnU4uLinmMKhYI2NjY0NTWlBw8eGLeh59KMnksAAPyHnssu\nKZVKCoVCznJvb6/y+fy+40ZGRjQxMXGYoQEAAPgWxWUTlmUpGAw2rAuFQlpfX+/K/um5NCl6HYAv\nMcNtRl7MyIsbOTEjL2bkpXM8W7yJra0tr0MAYPDOO7/QG2/c1K9/fUf/6l/l9dJLF/Xss9/wOiwA\nwOcoLpvo7+93zS52s+C8f/++Ll++7DwMPhgManBw0NXXcNKW6/wSjx+W4/G4r+Lxcvn/+/9O6Tvf\n+VttbNQvmItrY+P7+h//o6w/+IPf8zw+PyxzvLiX6+v8Eg/L/l6ur/NLPF4t17/e3NzUrVu3dObM\nGbWKC3qaKJfLSiaTzgU90vZp8VYLzFOnTnFBT5u4oAf7eeaZP9PNm39hWP8D/fznf+5BRADw8Gu3\nbjl1eKEcb9FotGHZsqyG2wtZltXR/um5NCl6HYAv8SHkC59+uvNkS9H56pNPHjnyWPyK48WNnJiR\nFzPy0jlOi+8hk8kolUopHA5rZWVFmUzG+d7s7KxCoZCuX7/eMKZcLmt5eVmBQECzs7NKJBIaGRk5\n6tCBh9Jjj31mXP/44//3iCMBADTDafEOFAqFAxWO8Xhctm3rueeeU/zzHilwWhz7e+edX3zec/mX\nzrpI5BW9/vofc1EPAByCYrGoy5cvKxgMtnzHHGYuPRIMBjU3N+d1GMCxUi8g33zzB/rbv/1zPfPM\nD/Snf0phCQCHJR6POxcft4qeywMql8uKxWIHHk/PpUnR6wB8if6fRs8++43PL94p6uc//3MKy104\nXtzIiRl5MSMvnWPm8oB2X/ADAAAAei49wa2IzOi5RDs4XgDgaHAromPCtm3Nzc1RYAIAAN+q30i9\nnXY+iksPzc3NcaV4g6LXAfgSH0CaKXodgC9xvLiREzPyYkZeGtUv6AkGgy2PobgEAABA19Bz6QF6\nLs3ooUM7OF6wn3fe+YXeeOOmPv30UT322Gd66aWL3F0AOIB26xauFgcAPHRMN9zf2Pi+JFFgAoeM\n0+IeuXPnDhf0uBS9DsCXOEaaKXodgC9xvGx7442bOwrLoiRpY+Mv9eaby57F5DccK2bkpdFBLuhh\n5tIjp0+f5gk9AHBIPv3U/M/bJ588csSRAMfbQZ7QQ3HpkXauujo54l4H4EvcUaCZuNcB+BLHy7bH\nHvtsx1Lc+erxx//vkcfiVxwrjRp7dPP06HaA4hIA8NB56aWL2tj4fkPPZSTyiv70T//Yw6jgV/To\ndhc9l3uwLEupVEqFQkGpVErVarVrY+i5NCl6HYAvcYw0U/Q6AF/ieNn27LPf0OuvP6NnnvmBpKKe\neeYHev31P6ZQ2IFj5Qv06DZHz2WXjY+Pa3V1VZIUi8WUTCa1uLjYtTH0XO62Lk51uq2vr3P6yojj\nxYTj5QvPPvsNPfvsNxQIvKaf//zPvQ7HdzhWvtDYo/vFews9ugfruWTmsolSqaRQKOQs9/b2Kp/P\nd23MZ599Zlx/srX+qegkaefT4slCXkw4XkzIiQnHyhcae3S/yAs9ugdDcdmEZVmui25CoZDW19e7\nOqZdBz2NcZBxR/lanTjqOMmLP8Yd1HH5+R7mvJATf4w7qOPy87Uz7qWXLioS+X7Duu0e3cShvN5x\nHNcOTos3sbW1dWhjbt++rf/9v//3gU5HbG5utj09fdBxR/la224pHi8e2esdl3G3bt060JvBcfn5\nOF66O+44HC8cK/4YdxyOlaMc9+UvV9XX9//o7t1P1Nf3U335y31KpX6pVMpfcXoxbn19XadPn255\ne4rLJvr7+12nDPYrHlsd8zu/8zu6f/++Njc3nXXBYLCl2xMd9BZGBxl3lK8lSb/3e2eO9PWOy7gz\nZ8iLCceL2XE4XjhW/DHuOBwrRzkuFOpVKNQr27aPxXF92ONs23ZqmgcPHuhLX/pSy69BcdlEOBw2\nFoaDg4MdjymXy50HCAAA4EP0XDYRjUYbli3LUiKRaFhudwwAAMDDLlCr1WpeB+FX5XJZ+Xxe4XBY\nKysreuWVV9TT0yNp+5ZDoVBI169fb3kMAADAw47isgOFQkEjIyNeh/FQSCQSWl7mZrVAN4yNjWlp\nacnrMACcUPRcHjHLspTL5TQ0NKRSqaSJiQn19vZ6HZZnCoWCNjY2VCgUvA7Fd8rlslZXV2XbtlZW\nVjQ/P6+BgQGvw/JcqVTS3bt3Zdu2lpeXNTMzQ152yOfzyuVyXofhCzMzM0qlUgoGgwqHw8pkMq72\npZNq9zEyOjrqUST+0dfX53qq3sLCgl5++WWPIjrGajiQUqlUs2277XHDw8PO17Zt18bGxroZ1rEV\nCAS8DsFXbNuupdNpZzmfz9cikYiHEflHX19frVqt1mq1Wi2dTjf8TZ10tm3X1tbWan19fV6H4gs7\n/4bwhfn5+Voul6vVatvHDH9D23koFAoN6zKZjEfRHH9c0HNA0Wi07RnHgzz1ByfTxsaG5ufnneXh\n4WFZlqV79+55GJU/bG5uOn3MfX19CgQCHkfkH/l8XkNDQ16HAR+zbVvXrl3T888/L2n736H6I4tP\nuqefftr5OpvN0vbWAYrLI3QUT/DBw2FoaKjhg8fq6qr6+vq4OExqyEE6nW4owk+yQqHA3SkMcrmc\nCoWCZmdnXac8T6LV1VWFw2EnL6lUSpVKxeuwPLdzssi2bd29e5d2mw7Qc3mEDvLUH5xcO5+gkE6n\nlclkvAvGZyqVirLZrC5evNgw23BSVSoVhUIhPnzsEovFnB7LUCikkZGREz9LZ1mWSqWSEomEenp6\nFIvFNDw8rNu3b3sdmm9cu3ZNr7zyitdhHGvMXB6hgzz1B8hkMnrhhRec01iQBgYGND09rYGBAV28\neNHrcDxXKpW0urqqTCajTCYj27b11ltvnfgZqZ0X70SjUZVKpRPfWhIOhxUOh50PIr29vbIsq+GJ\ncSddPp/ng1qHmLk8Qgd56g9OtkKhoEgkwuzc5+p3W5ienpYkjYyMaGxsrINnTj8cdl/pOzk5qRdf\nfNGjaPyhfjeO3TOVJ71oCIfDrnUHfYzgwyifzzdcG4GDYebyCPEEH7dyuayFhQUFAgHNzs5yS6Id\n6heA1QvLbDbrcUTeq1Qq+u1vf+ssW5alvr6+E11Y7lStVp2/px/96EcneuYyEonoypUrznI+n9fY\n2JiHEflDOBxWMBh0+k9t21YkEuFv6HOlUoliuwu4ifoR4wk+aIVlWTp37lzDukgkog8//NCjiPwj\nl8tpa2tLoVBIy8vLmpqaYvYfRoVCwXlU78bGBu+3n6tUKrpx44bOnz+vlZUVTU1NUVx+LpVKaWtr\nS1evXvU6lGON4hIAAABdw2lxAAAAdA3FJQAAwCGbmpryOoQjQ3EJAABwBE7KjfwpLgEAAA7ZzMyM\nksmk12EcCe5zCQAAcECtzkb29fXp0qVLSiQSSqfTD/XjJSkuAQAADujq1auup+81U6vVVCgUlE6n\nH+rbHXErIgAAgCMwPj6uV1555aG/Ny/FJQAAwCHLZrM6deqUnn/+ea9DOXRc0AMAAHDIFhcXT0Rh\nKVFcAuiySqWimZkZnTp1SrFYTKlUSqlUSrOzs7p48aJOnTplfOa16ZGXR6Gd181ms0qlUhofH1e5\nXG77tQqFgmZnZ5XJZNoe6xde/J4ehrzh4WBZlsbGxhqeW9+qvcZkMhlNTU0pl8t1Ep5/1ADgEEQi\nkVoqlXKtX1hYqOXzedf64eHhWqFQOIrQDvS6d+/erUUikVqtVqtls9maZVkHer2ZmZna2NjYgcZ2\nw8LCQs2yrNra2lotnU63Pd6r31MreTvIzwPULS0t1RYWFmpjY2O1Uqlk3MayrNrCwoLz9fe+971a\nIBCoDQ8PO+93O9c3ex/cb9/HHTOXAI7UxMSE68rKTCajbDarp59++khjaed1V1dXFQ6HJUmjo6MH\nvo3I+fPnDzSuW6anp3Xjxg2VSqW277nn1e9Jai1va2trRxAJHka2bWt2dlbT09O6dOmSgsHgvmMG\nBgY0Pz+vcDisF154QS+//HLD+qGhIY2NjTnrTxJuRQTgSPX29rrWeXVjYS9et+aDayivXbt2oHHJ\nZNKzJ4zslTfbtjUzM6O7d++2tU/bthuKiN3LODl2f3hEZ5i5BHBodhYECwsLztf1N+9SqaRcLqdc\nLqepqamGPsZSqaRYLKZMJqNcLqeFhQWFQiHn+7ZtK5VKOeNTqZSk7b7ISCSic+fOaX193Vl36tQp\np+epPkuRy+U0OzurQqGw589RLpeVzWZlWZZSqZQKhYIKhYJisZjTJzU+Pu70BLa6f9u21dfXp/Pn\nz6tQKCiXy+0Ze7P95vN5xWIxjY+PO7E161Gsj6//1+r4crms4eFhjY2N7Zmren52/k7ruarnqB7/\n7vgOmrdCoaC7d++qVCoplUo5+63/XLt/R4VCQcPDw7pw4YKk7Ztgj42NKRQK6d69e01zUt93pVJR\nLpdTJpPR+Pj4nvkATiSPT8sDeEhFIpFaIpFwepjq/Yo7DQ8P13K5XK1W2+436uvrc76Xz+drlUql\nYX/1betjq9Vqw/aTk5PO17tfL5PJOF+Hw2HXvm3b3vPnyefztUQi0bAunU7XIpFIrVqt1kqlUq1c\nLu+7/6WlJad3cGNjw9WPtVfse+03m83WIpGI833btmuBQKBhP0NDQ06MtVqt1tfX5yy3Mt6Ug935\nyGazznI2m3V61+r732lsbKyhx6yTvGWzWWNP5u7f0c54hoeHG7YNBAINx1SznOzsOU0kEg0/M46f\nUqlUm5ycrEUikaY94XWmvsj6uN2GhoZqs7OzzvLa2lpteHjY+TuZn59veM97mHouOS0O4NBcvHjR\n6Teamppyff/dd99VT0+PJDk9jJubmzp79qxCoZDOnj0rSZqcnFQikXBu45HP5yXJGStJIyMjSiQS\nWlhY0MjIiKTt2bZoNKpCoeDMuGWzWQUCAWffkjQ0NKTFxcU9T5PXDKdl+/r6FA6H1dPTo2g02tb+\ny+Wy3n77bdcp6max77ffertB/fv15Xv37qmnp0elUkmVSqXh5s2lUsm1fbPxzXKwUzgc1uTkpLa2\ntjQyMqLR0VHnNHqtVnNOO9ZNTk5qbGxM09PTHeetWWym39HOn28vzXKy8+cIh8Pa2trad1/wr2g0\nqrGxMVmWpenp6QPtY3l52bVu910x7t69q2w26xxP586d01tvvXWg1/M7iksAR2J4eNi1rqenR/l8\nXpVKpeGUtySnEMjn83r33Xf14YcfOt8rlUqu7SUpGAxqdXVVTz/9tCYnJ3Xjxg1dv35dlmU5RZtl\nWQoGgw2nXM+fP69IJHKgn2t3j14r+y+VSlpdXVU6ndaVK1dchY4p9lb2u1e/4M6esrqdhdx+41sx\nMjKiGzdu6MaNG5qcnNTQ0NCeLQcDAwPOxV3dyFsznfxcprGmYw/H234fnPaz84N03dtvv92wvNcH\n5ocNxSWAI2GaFUwkEvr2t7/tfG/3NrZta3x8XO+++66k7ZkA27YViUS0uLjo2p9t204BlUwmFQqF\nNDMz01BU1YuVerG5++tmAoFAS+v2238gEFAikVAymZRt20omk66fxRT7QePeGZdlWS1vb2L6eXfK\n5XIaHR114pqdnVU6nW46G2RZlvr6+pz4pIPnbWds9eMkGo3uG3M3HMVr4Pjb6wPzw4YLegAcilqt\ntudsQKlU0traWsMnd9u2VavVnAtNxsbGGp7Du7y8rL6+Po2Ojsq27YbTTtlsVmNjY87MQDAY1De/\n+U1NTk42FCn1i4l2jq1Wq/veFN30s5jW7bf/nXmZnp52LmrayRR7p3GPjIwoHA43zAxWKpW2fu79\nZncsy2rY/6VLlxoKr93FbTqd1vz8vKTO8xYOh539W5bl/EPeLOZwONxwS6xSqdTSz7h7m/2OcxwP\nR/UBof6BeWlpSVJrf4PH0SNzc3NzXgcB4OFRqVR07do1vfPOO6pUKvr000/1r//1v3ZmqOq+8pWv\nqFKp6IMPPtDHH3+sjz76SP/+3/97LS0tKRaLaW1tTZlMRt/61rf0/vvv62c/+5leffVVXb16VZL0\nrW99S6+99pqq1aree+89/frXv9aPf/zjhtcIhUJ64okn9PWvf71h/aVLl5yxH3zwgSzL2vPejeVy\nWa+++qrW1tb0yCOP6Mknn9QHH3yg+fl5vffee866xx9/fM/9l8tlzc/PK5/Pq7+/X0NDQ/qrv/or\nvfnmm644TbHvtd9XX31Vv/zlL/XEE0/oySef1A9/+EP9wz/8g+7evasnn3xSfX19unTpkl5//XV9\n9NFH2tzc1L/8y7/o61//ekvjNzc3nRzUY9/t/fff1927d7W5uakPPvhAa2trzqzl+++/L8uy9OUv\nf1kfffSRcrmcfvd3f1cvvvhiSz/ffnn7yle+olKppI8++kiBQEBf+9rXnHGm31FfX5/+6Z/+SZVK\nRZubm5Kkv/7rv9bHH3+sP/qjP9IHH3ywb06Wlpb0xhtvqFKpKBKJuNoOcHxYlqX33ntP/+k//ac9\nt7NtW++//77+8A//0Fn3+uuvKxaLNayTpBs3bigcDjt3JZCk//Af/oP+83/+z86H6qWlJefv07Tv\nY+sorx4CAJxM2Wx2zyvNAa+USqVaIpGohUKhWiqV2vPOEc2e0BOLxRqe0DM/P18LBAK1c+fOOeuX\nlpZqoVColsvlnKvFQ6GQcd/HXaBWYz4fAHC4stms0um0bt686XUowIFVKhVls9kDX1Xu1b6PGj2X\nAIBDVS6XlU6ntba29tDeegXAF7havItSqZSWl5dlWZbTXB4OhzU2NubZ4+0AwGvRaJQZS2AfD9OJ\nZE6Ld0mhUND58+fV09Oj//pf/6uef/55ZTIZikoAAB4SlUpFMzMz6u/v109+8pOu7TeTyWhtbU0X\nL158KO59SXHZZfl8XpFIRLZtO0+p2C0ajerDDz/U6dOnnSsXH330UZ0+fdq5YW/9Fhknafn+/fv6\n6le/6pt4/LK883YpfojHL8scLxwvrS7fuXPnxL+/mpbr6/wSj1+WOV6+OD5s29Ynn3yi//N//o/6\n+vp0584dtYLissumpqZ0/fp15XI5BYNBY3H51a9+Vf/8z/+sP/iDP/AgQv+qP/YPjciLGXkxIy9u\n5MSMvJiRF7f19XU9ePBA9+7da2l7ei67aOcNgre2tprOXJ47d06fffaZisXiEUbnf5cvX9ZPf/pT\nr8PwHfJiRl7MyIsbOTEjL2bkxS0ejzv3g20FV4t3US6X0/j4uCQpFotpY2PD44gAAACOFjOXXbTz\n3lTRaNR5/JjJmTNnjiKkY+Xy5cteh+BL5MWMvJiRFzdyYkZezMiLWb0nsxX0XHogHo9LEqfFAQCA\n77Vbt3Ba3CM7r8bCNoptM/JiRl7MyIsbOTEjL2bkpXMUlwAAAOgaTot7gNPiAADguOC0OAAAADxD\ncekRei7dmMk1Iy9m5MWMvLiREzPyYkZeOkdxCQAAgK6h59ID9FwCAIDjgp5LAAAAeOZQi0vLsjQ2\nNqYrV650fd87exYzmYympqaUy+W6/jqHhZ5LN2ZyzciLGXkxIy9u5MSMvJiRl84danEZCAT0+7//\n+7p69WrX9lmtVjU2NqZQKOSsSyaTmpmZkWVZLe9nYWGhazEBAABg27E7Ld7b26ulpaWO95NOp5XJ\nZLoQ0cG084zOk6Le04FG5MWMvJiRFzdyYkZezMhL545dcdkNMzMzCofDyufzqlQqXocDAADw0DhR\nxWU+n9f4+LguXryocDisdDqt+fl5zc7OqlqtHmks9Fy60ediRl7MyIsZeXEjJ2bkxYy8dO7R/Taw\nbVtra2saGRlx1i0sLCidTkuSlpeXNTAwsO8L5fN5zc7OKhaLKZFI6O2331YikVAymVSpVHJmEJeX\nlzU5OaloNNowfnZ2VufPn5e0fWr8IAKBgBYXFyXJObV+/fp1VSoVbW1tHXi/AAAA2LbvzGUmk2ko\nLLPZrM6dO6fbt29reXlZ2Wy2pRe6cOGCJicnlc/nlUgkdOXKFadYnJiYUCAQ0OjoqGZmZhpeT5IS\niYReeOEFjY6OanR0VOFwuJ2f0bF7v3UDAwMtFcjdRM+lG30uZuTFjLyYkRc3cmJGXszIS+f2nbnc\nXcgFAgE9//zzkraLsnYKvb6+PoXDYfX09DTMTL777rvq6elx9ilJm5ubOnv2rEqlktbW1jQ4ONg0\nJgAAAPjDnjOXlUqloZArFAoaHR3t6AVNM3Y9PT3K5/PKZDKue1Wurq4+lMUkPZdu9LmYkRcz8mJG\nXtzIiRl5MSMvnduzuAyFQg33jtxdEKVSqbaKzUAgYFyfSCR07949JZNJ1/4ikUhb968EAACAd/Ys\nLnt7e7W8vKxMJiPLsrS1tSVJKpVKGh8f19jYWFsvZnqMef20d/1Uu7RdxNZqNeVyOY2MjCgcDqtc\nLjeMOe7ouXSjz8WMvJiRFzPy4kZOzMiLGXnp3L4X9Fy/fl22bWt4eFgzMzOKxWJaWlrS4uKizp49\n2/ILlctlpdNpFQoF/ehHP3Ju/TM0NKTx8XGlUinlcjkVCgXduHFD8/Pz6uvrk7R9Ov7tt992vl+/\nsvzSpUtHfgshAAAANLfvBT2SND09reXlZd28efPALxSNRpuOv379esPyyMiIksmks9zb26tr1641\nbPPgwYMDx+IH9Fy6FYtFPjEakBcz8mJGXtzIiRl5MSMvnWvpJuq2bTunxAEAAIBmWiouC4WCEonE\nYcfSEVM/51687nn0+vX9iE+KZuTFjLyYkRc3cmJGXszIS+daKi5HR0d19erVA73AysqKvv3tbx9o\nbKsymYwWFhYUiURaHnPt2jWeyAMAANBlh/ps8YGBAS0uLuonP/nJYb6Mksmkrl+/3nDFud/Rc+nG\nvcXMyIsZeTEjL27kxIy8mJGXzh1qcQkAAICTJVBrt1kRHav3c/DpCAAA+F27dQszlwAAAOgaikuP\n0JihI6YAABd/SURBVHPpxkyuGXkxIy9m5MWNnJiRFzPy0jmKSwAAAHQNPZceoOcSAAAcF/RcAgAA\nwDMUlx6h59KNmVwz8mJGXszIixs5MSMvZuSlcxSXAAAA6Bp6Lj1AzyUAADgu6LkEAACAZyguPULP\npRszuWbkxYy8mJEXN3JiRl7MyEvnKC4BAADQNfRcdlm5XNbbb7+tUqkkSQqHwxobG9PIyIizDT2X\nAADguGi3bnn08EI5mcLhsK5cuaJ8Pi9JGh0d9TgiAACAo8Np8S7r7e3V4uKiLly4oJWVlabb0XPp\nxkyuGXkxIy9m5MWNnJiRFzPy0jmKy0OwsbGh3t5e9ff3q1qteh0OAADAkaHn0gP0XAIH9847v9Ab\nb9zUp58+qsce+0wvvXRRzz77Da/DAnDM8d7SHD2XAB5a77zzC33nO3+rjY2/dNZtbHxfkvhHAMCB\n8d7SXZwW77JTp04Z/3vkkUcatqPn0o2ZXDPy8oU33ri5482/KEna2PhLvfnmsmcx+Q3Hixs5MSMv\nX+C9pbuYueyyBw8etLTdb37zG12+fFlnz56VJAWDQQ0ODrqmnk/S8vr6uq/iYdl/y59+Wn/LKkpa\nl7T9/Y8//n9VLBY9j49lfy6vr6/7Kh6/LNf5JR4vl3/96zv6wvrn/4/rk08e8UV8XizXv97c3NSt\nW7d05swZtYqeSw80+wMHsLdnnvkz3bz5F4b1P9DPf/7nHkQE4GHAe8ve2q1bTh1eKCeXbdvK5XLK\n5XKampryOhzgofHSSxcViXy/YV0k8or+9E8THkUE4GHAe0t3UVwegqWlJQUCAY2OjioYDCqTybi2\noefSjZlcM/LyhWef/YZef/0ZPfPMDyQV9cwzP9Drr/8xDfc7cLy4kRMz8vIF3lu6i57LQ5BMJp2v\nLcvSxYsXPYwGeLg8++w39Oyz31AgUOR0FYCu4b2le+i5PESFQkGVSkUvvvhiw3p6LoHOBQIS714A\nuo33Fjd6Ln2iVCopFArpxRdfVLlc9jocAACAI0FxeQhKpZLGx8c1MzOjWCymu3fvurah59KNmVwz\n8tJM0esAfInjxY2cmJGXZopeB3Ds0XN5CIaGhnT79m2vwwAAADhy9Fx6gJ5LoHP0RQE4DLy3uNFz\nCQAAAM9QXHqEnks3ZnLNyEszRa8D8CWOFzdyYkZemil6HcCxR3EJAACArqHn0gP0XAKdoy8KwGHg\nvcWNnksAAAB4huLSI/RcujGTa0Zemil6HYAvcby4kRMz8tJM0esAjj2KSwAAAHQNPZceoOcS6Bx9\nUQAOA+8tbvRcAgAAwDMUlx6h59KNmVwz8tJM0esAfInjxY2cmJGXZopeB3DsUVwCAACga+i59AA9\nl0Dn6IsCcBh4b3Gj5xIAAACeobj0CD2XbszkmpGXZopeB+BLHC9u5MSMvDRT9DqAY4/iEgAAAF1D\nz6UH6LkEOkdfFIDDwHuLGz2XAAAA8AzFpUfouXRjJteMvDRT9DoAX+J4cSMnZuSlmaLXARx7FJcA\nAADoGnouPUDPJdA5+qIAHAbeW9zouQQAAIBnKC49Qs+lGzO5ZuSlmaLXAfgSx4sbOTEjL80UvQ7g\n2KO4BAAAQNfQc+kBei6BztEXBeAw8N7iRs8lAAAAPENx6RF6Lt2YyTUjL80UvQ7Alzhe3MiJGXlp\npuh1AMcexSUAAAC6hp5LD9BzCXSOvigAh4H3Fjd6LgEAAOAZikuP0HPpxkyuGXlppuh1AL7E8eJG\nTszISzNFrwM49iguAQAA0DX0XHqAnkugc/RFATgMvLe40XMJAAAAz1BceoSeSzdmcs3ISzNFrwPw\nJY4XN3JiRl6aKXodwLFHcQkAAICuoefSA/RcAp2jLwrAYeC9xY2eSwAAAHiG4rLLLMtSKpVSoVBQ\nKpVStVo1bkfPpRszuWbkpZmi1wH4EseLGzkxIy/NFL0O4Nh71OsAHjbj4+NaXV2VJMViMSWTSS0u\nLnocFQAAwNFg5rKLSqWSQqGQs9zb26t8Pm/cNhgMHlVYx0a9pwONyEszca8D8CWOFzdyYkZemol7\nHcCxR3HZRZZluYrGUCik9fV1jyI6PiYmJhSPx/Unf/IntAwAADwxMTEhiX+LOsVp8S7a2tpqedsP\nP/xQly9f1tmzZyVtz2QODg66rsg6Kcv/7b/9N/33//7fJW3/cf+X//JffBWfl8s7+6L8EI9/ltcl\nfddH8fhjmePFvRwIvKa/+7uT+/7abLm+zi/x+GH5f/2v/yXp7/U3f7P9b9Hi4qKv4jvK5frXm5ub\nunXrls6cOaNWcSuiLsrlcrpx44Zu3rzprAuFQnr33Xc1ODjorIvH47JtmxnNHf7kT/5Ef/M3f6Pz\n58/r5s2btA3sUCwWnT96fIG8mJEXt0CgqFot7nUYvsOx4sa/RWamwnMvFJddVC6XlUwmnQt6pO3i\ncveMZru/pJPAtm319U3o7t00f8wAuor7FqJVtm1rYmJC6TT/Fu3Ubt3CafEuikajDcuWZSmRSHgU\nzfGy/Ue8KP6WAQBeCQaD3OGlC055HcDDJpPJKJVKKZfLKZ1OK5PJGLejUdik6HUAvsQMtxl5MSMv\nJkWvA/AljhUz8tI5Zi67LBqNOjOYo6OjHkcDAABwtOi59AA9l2b0RQE4DLy3AJ1pt27htDgAAAC6\nhuLSI/RcmhS9DsCXmOE2Iy9m5MWk6HUAvsSxYkZeOkdxCQAAgK6h59ID9Fya0RcF4DDw3gJ0hp5L\nAAAAeIbi0iP0XJoUvQ7Al5jhNiMvZuTFpOh1AL7EsWJGXjpHcQkAAICuoefSA/RcmtEXBeAw8N4C\ndIaeSwAAAHiG4tIj9FyaFL0OwJeY4TYjL2bkxaTodQC+xLFiRl46R3EJAACArqHn0gP0XJrRFwXg\nMPDeAnSGnksAAAB4huLSI/RcmhS9DsCXmOE2Iy9m5MWk6HUAvsSxYkZeOkdxCQAAgK6h59ID9Fya\n0RcF4DDw3gJ0hp5LAAAAeIbi0iP0XJoUvQ7Al5jhNiMvZuTFpOh1AL7EsWJGXjpHcQkAAICuoefS\nA/RcmtEXBeAw8N4CdIaeSwAAAHiG4tIj9FyaFL0OwJeY4TYjL2bkxaTodQC+xLFiRl46R3EJAACA\nrqHn0gP0XJrRFwXgMPDeAnSGnksAAAB4huLSI/RcmhS9DsCXmOE2Iy9m5MWk6HUAvsSxYkZeOkdx\nCQAAgK6h59ID9Fya0RcF4DDw3gJ0hp5LAAAAeIbi0iP0XJoUvQ7Al5jhNiMvZuTFpOh1AL7EsWJG\nXjpHcQkAAPD/t3c/P23c+R/HX853Dz0FY1Q1hx7CmD8g/OpxFQXsfKW9QaE59hAaeuj2EsSPb/e0\nuwqYnLaXhMk/EGT3Fmk39kSoV8g4x0rBY6TdQ1ZVnKHKISu18vdA8OLMJ4HEA58BPx9SVWZiyLuv\nmuHNZ94zg9gwc2kBM5dmzEUBOA4cW4DOMHMJAAAAa2guLWHm0mTDdgGJxAq3GbmYkYvJhu0CEon3\nihm5dI7mEgAAALFh5tICZi7NmIsCcBw4tgCdYeYSAAAA1tBcxqharWphYUH5fF75fF6zs7PyPM/4\nWmYuTTZsF5BIrHCbkYsZuZhs2C4gkXivmJFL535nu4CzxHEcLS4uqlKpSJImJyctVwQAAHCyWLmM\nUU9Pj9bX1zU+Pq7Nzc13vjadTp9QVafJZdsFJNL+rAvakYsZuZhctl1AIvFeMSOXztFcxqxWq6mn\np0d9fX3a3d21Xc6p8ODBj7p69TtJ0tWr3+nBgx8tVwTgLODYAthBcxmz5eVlSdLc3Jx6enre+jpm\nLvc8ePCjvv32H3r48C+SNvTw4V/07bf/4IfAAcz/mJGLGbns4dhyON4rZuTSOZpLWPW3vz1UrfbX\ntn212l/1/fdlSxUBOAs4tgD2cEHPIVzXVa1We+uf53I5jY2NSZLOnTP36qlUSr/99lvbvpcvX+rL\nL7/UxYsXJe3NYF66dClyL6mzvv2f/+y/BTd00LNn/9TGxob1+pKwffny5UTVk6TtfUmpJwnbvF/2\ntv/973+p3Yaky3r16n8SUR/byd3e35eUemxt73+8s7Ojn376SRcuXNBRcRN1C0z/A7vV1avfvT5t\n9eb+P+nvf/+zhYoAnAUcW4D4vG/fcu74SsG7MHO5549/zCub/b/XWxuSpGx2Sd98k7NWU9LwS4gZ\nuZiRyx6OLYfjvWJGLp3jtHjMwjBs3Ti9XC7rzp07litKtj/84feSpO+//5OePfunLlzw9M03/9va\nDwAfgmMLYA+nxWPmuq76+vo0MTGhhYUFZbNZzczMtL2G0+IAAOC0eN++hZXLmB1sJIMgUD6ft1gN\nAADAyWLm8ph4nqd8Pq8rV64Y/5yZyyhWcs3IxYxczMglikzMyMWMXDpHc3kMfN9XJpPR9evXVa1W\nbZcDAABwYpi5jJnv+5qenpbjOGo0GioUCpHVS2YuAQDAacHMpWVDQ0Pa3t62XQYAAIAVnBa3hJnL\nKFZyzcjFjFzMyCWKTMzIxYxcOkdzCQAAgNgwc2kBM5cAAOC04PGPAAAAsIbm0hJmLqNYyTUjFzNy\nMSOXKDIxIxczcukczSUAAABiw8ylBcxcAgCA04KZSwAAAFhDc2kJM5dRrOSakYsZuZiRSxSZmJGL\nGbl0juYSAAAAsWHm0gJmLgEAwGnBzCUAAACsobm0hJnLKFZyzcjFjFzMyCWKTMzIxYxcOkdzCQAA\ngNgwc2kBM5cAAOC0YOYSAAAA1tBcWsLMZRQruWbkYkYuZuQSRSZm5GJGLp2juQQAAEBsmLm0gJlL\nAABwWjBzCQAAAGtoLi1h5jKKlVwzcjEjFzNyiSITM3IxI5fO0VwCAAAgNsxcWsDMJQAAOC2YuQQA\nAIA1NJeWMHMZxUquGbmYkYsZuUSRiRm5mJFL52guAQAAEBtmLi1g5hIAAJwWzFwCAADAGppLS5i5\njGIl14xczMjFjFyiyMSMXMzIpXM0lwAAAIgNM5cWMHMJAABOC2YuAQAAYA3NpSXMXEaxkmtGLmbk\nYkYuUWRiRi5m5NI5mksAAADEhplLC5i5BAAApwUzlwAAALCG5tISZi6jWMk1IxczcjEjlygyMSMX\nM3LpHM2lJS9fvrRdQuI8efLEdgmJRC5m5GJGLlFkYkYuZuRi9j6LYjSXlvz666+2S0gcVnPNyMWM\nXMzIJYpMzMjFjFzMaC4BAABgBc2lJa9evbJdQuLs7OzYLiGRyMWMXMzIJYpMzMjFjFw6x62IYrS6\nuqpyuawgCOQ4TuvfU1NTmpmZab3u008/1fPnz/XJJ5+09qXTaaXTaRtlJ0YYhl2fgQm5mJGLGblE\nkYkZuZiRy54wDFunwp89e6aPPvroyKfGaS5j4nmeRkdHdf78ef3www+amJiQ67ptTeW+wcFB/fzz\nzxoYGLBQKQAAwNFtb2/r448/VrVaPdLraS4P4bquarXaW/88l8tpbGystV2pVJTNZhWGoRqNRtuf\nAQAAnHU0lzGbnZ3VnTt3VCqVlE6naS4BAEBX4YKeGAVB0Pq40Wi0bePdcrmc7RKAM2Nqasp2CQC6\n2O9sF3CWlEolTU9PS5JGRkZ0//79yGuCIFCpVNLQ0JB839dXX32lnp6eky41MTzPU61Wk+d5tktJ\nnGq1qq2tLYVhqM3NTa2srKi/v992Wdb5vq8XL14oDEOVy2XNz8+TywGVSkWlUsl2GYkwPz+v1dVV\npdNpOY4j13U1ODhou6xEePM9Mjk5aamS5Ojt7dXu7m7bvkKhoJs3b1qqKBn2fxZlMhkFQaDPP//8\n8GNuEydqeHi49XEYhs2pqSmL1SRHKpWyXUKihGHYXFtba21XKpVmNpu1WFFy9Pb2Nnd3d5vNZrO5\ntrbW9j3V7cIwbD5+/LjZ29tru5REOPg9hP9aWVlplkqlZrO5957he2gvB8/z2va5rmupmmQpFApt\n2zdu3Dj0czgtfoJ831cmk2lt9/T0qFKpWKwISVWr1bSystLaHh4eVhAE+uWXXyxWlQw7Ozs6f/68\npL2VhlQqZbmi5KhUKhoaGrJdBhIsDEMtLy9rYmJC0t7Poa2tLctVJcOVK1daHxeLRa6ZeO3u3buR\nFd3DcFr8BAVBELl3ViaT0ZMnT3Tp0iVLVSGJhoaG2n7x2NraUm9vb6up6mYHM1hbW2trwruZ53nM\nLhvsX1xZLpe1uLjY1WNI0t6xxHGcVi6+7x/tNOcZd/B9EYahXrx40fWZ7NsfPdo/1hYKhUM/h+by\nBDUaDdsl4BS5ePFi6+O1tTW5rmuvmISp1+sqFovK5/Ntqw3dql6vK5PJ8MvHG0ZGRlozlplMRmNj\nY12/ShcEgXzfVy6X0/nz5zUyMqLh4WFtb2/bLi0xlpeXtbS0ZLuMxJiZmWmdTUun0xofHz/0WMNp\n8RPU19cXubs9DScO47qurl271jqNBam/v19zc3Pq7+9XPp+3XY51vu9ra2tLruvKdV2FYah79+6p\nXq/bLs2qgxfvDA4Oyvf9rh8tcRxHjuO0moOenh4FQcAjDw+oVCr8ovZaGIZaWFjQ8vKytre39cUX\nXxzpDAnN5QlyHMfYTHJKHG/jeZ6y2SyN5WtBEGh1dbW1PTY2pkql0vU/GCcnJzUzM9P6R5KuX7/e\n1af1fN/XyMhIZH+3Nw2O40T28ajD/6pUKm3XRnS7N8dt5ubmND4+fuiTemguT9Cbt8AIgqDrZ6Sq\n1aoKhYJSqZQWFha4JdEB+xeA7Z/2LRaLliuyr16v6/nz563tIAjU29vbNkLQzXZ3d1vfT7dv3+7q\nlctsNqvFxcXWdqVS4f6f2msu0+l06wKNMAyVzWb5HnrN932a7QMcx5Hv+2370un0obf04gk9J6xa\nrapSqchxHG1ubmppaanrf5NGVBAEkWfPZ7NZPX361FJFyVEqldRoNJTJZFQulzU7O8vqP4w8z2s9\nzKJWq3G8fa1er+vu3bsaHR3V5uamZmdnaS5fW11dVaPR0K1bt2yXkhgHj7mNRkOjo6OHHnNpLgEA\nABAbTosDAAAgNjSXAAAAiA3NJQAAwDGbnZ21XcKJobkEAAA4Ae/7GMXTiuYSAADgmM3Pz7fuQ3vW\n8fhHAACAD3TU1cje3t7WE27W1tbO9EMOaC4BAAA+0K1btyKPdn6bZrMpz/O0trZ2pu+lyX0uAQAA\nTsD09LSWlpbO/IMfaC4BAACOWbFY1Llz5zQxMWG7lGPHBT0AAADHbH19vSsaS4nmEgAA4EiCINDU\n1JQWFxff+3Pf9Tmu62p2dlalUqmT8hKD5hIAAHS9YrGo1dVVTU9Pq1qtGl+TSqX02Wef6datW6rX\n65qfn9e5c+c0MjKi27dvS1Lb/oGBgdb+wcHBt/7dMzMzmp+fVxAE8f+HWcDV4gAAoKuFYaiFhQVt\nb2+rVCopnU4f+jn9/f1aWVlRqVTStWvXdPPmzbb9nucpl8u19ncTmksAANDVtra25DiOJGlyctJy\nNacfp8UBAAAQG5pLAADQtarVqorFooIg0OrqqjzPe++vYbqr45v7fN/XyMiIXNdVqVRSoVBQJpP5\n4LqTjNPiAACgaw0ODmpqakpBEGhubu6Dvka5XI7sq9frbdsvXrxQsVjUxYsXJUkDAwO6d+/eB/19\nSUdzCQAAulqnz5PJ5/ORC3fu37/ftp3JZFqN5Y0bN5TL5c7sfS9pLgEAAI7Z/q2IKpWKHj16pKdP\nn1qu6PjQXAIAgK6WSqVO5O8Jw1DT09N69OiRpL1T52EYvvMemKcRF/QAAICu1slp8Waz+dYLet7c\nPzU1paWlJV26dEnS3qzmUe6pedrQXAIAgK5VrVZVKBT0+PFj3b59W7u7u0f6vP0n8dTrda2vr7c9\noadQKKharapUKrX2F4tF+b4vx3FaV4svLi6qv7//2P7bbEk1O51iBQAA6AL1el3FYvGDryq39bVP\nGiuXAAAAiA3NJQAAgGVn6UQyzSUAAMARbW5u6uuvv471a7quq0KhoGw2G+vXtYWZSwAAAMSGlUsA\nAADEhuYSAAAAsaG5BAAAQGxoLgEAABAbmksAAADEhuYSAAAAsfl/pWaIdjx/iWQAAAAASUVORK5C\nYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U= 8./pi/pi, 8./pi/pi/3/3 , 8/pi/pi/5/5 , 8./pi/pi/7/7\n", "fi= 2 * ( -pi/2, pi/2 )\n", "f=(1,3,5,7)\n", "\n", "\n", "figure(figsize=(10,8))\n", "subplot(211)\n", "\n", "stem(f,U,markerfmt='o' )\n", "xlim((0,8))\n", "xticks(arange(0,8))\n", "minorticks_on()\n", "xlabel(r'$\\rightarrow$ \\\\f [Hz]', x=0.9 )\n", "ylabel('U [V] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "title(u'Amplitudové frekvenční spektrum')\n", "grid(True)\n", "\n", "subplot(212)\n", "\n", "stem(f,fi, basefmt='k.')\n", "xlim(0,8)\n", "yticks((-pi,-pi/2,0,pi/2, pi),(r'$-\\pi$',r'$-{\\pi \\over 2}$', '0', r'{$\\pi \\over 2$}', r'$\\pi$') )\n", "xlabel(r'$\\rightarrow$ \\\\f [Hz]', x=0.9 )\n", "ylabel(r'$\\varphi$ [rad] $\\uparrow$',fontsize=16, y=0.9, rotation=0)\n", "title(u'Fázové frekvenční spektrum')\n", "grid(1)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.5.3" } }, "nbformat": 4, "nbformat_minor": 0 }