Files
FYS-STK4155/doc/Programs/JupyterFiles/Examples/CH2 Marsland Gaussian.ipynb
T
Morten Hjorth-Jensen 1c714ef427 small changes
2018-09-11 11:06:31 +02:00

145 lines
81 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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qL9UAzAKwEzX7nX4EoI2a89hjjzzDhw+nPn36mNa/nolLrTH24LG0vAW4XC7T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\nSSEV2tHzkPR6vXTjjTdaHv6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SwEoAwwCUAZhKRFskjs0GkA0A6enpl5aUlOgel2GMwi/I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\nYGFnGIaJMv4fQCACuy40EsoAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11438b630>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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YDWAb6rNjspXOZ2E3jtWvx2o8cCmP0Ewh9AuU04Js5qEm3i6HVfF0tZw+fZoe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\nYZgo4/8DIxNAsjirPbcAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1141e4ac8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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TAOUUrQQwb968qInYQruEKqV0F3NPt1iN0OPHj0dbWxuyqSce5ReuCUw55fnnnwfweUlA\nm4gN8E/FnOmpoWM1QpeWlqKzsxMdHR0YOXJkBqMi8mMJgHLKCy+8ELVNq4rJdJfQeJO8adVUWqmF\nKNOYACinnDx5Und7a2trxqdcvvzyy6MGhIXSGqrZDkBWYQKgnGLUq6asrCzm1NBmePHFF7F06dLg\nz5GLxLzyyisAWAIg6zABUE4pKirCoEHhTVuhc/5rXTEzpb6+HkB0A7TP58NPf/pTACwBkHWYAChn\n9PT04Pjx45g7d65uv3/g866YmUoCvb29WLp0Kaqrq6MaoE+fPg2bzcYSAFmGCYByxkcffQQAmD17\ndlh/e716+ExWB61evdqwy2lfXx8TAFmGCYByxqeffgoAGD16NIDoOvfQqRm06iCbzdqPwJAhQ4Jx\nE2UaxwFQzujo6AAAjBw5Eh6PB7feeiu6u7sB+McD3HrrrQAQViKwchCW3W5HRUVFMG6iTGMCoJyh\nLbJSXFyM7373u8Gbv6a7uxvf+973AAB/+9vfsHr16ozHqCkoKEB9fT2ef/55/P3vf7csDspvTACU\nM0JLAO3t7brH9PX1YcGCBZkMK0roojH//d//zRIAWYZtADTgaXX9CxcuBABs27bN4oiiGfVKKi4u\nRkdHB+cDIkuwBEADmta/PrSL5Y9//GMMGzYMp06dsjCyzzmdTni9Xt19xcXF6O3txalTpzB8+PDM\nBkZ5jyUAGtD0Jng7ffo0ioqKUFhYaFFUn4s3H5A2CRyrgcgKTAA0oBlN8Hbs2DE8/vjjpq34lSht\nIrrIJSI1xcXFAD5vwCbKJCYAGtCMJngrKyuDy+XC0aNH0djYmNHpHyJpU1LrJQEtAbAEQFYwLQGI\nyK9FpFlE3hKRDSLCCc8p7YzW/A2tdnG5XKiqqsp0aGE6OzuxfPnyqO2sAiIrmVkC2Abgy0qprwB4\nF8C9Jp6L8lTkBG9FRUVhvWwAf0OxlX3+Ne3t7Vi6dGnY6OSdO3cCYBUQWUMy0f1MRL4N4EallPHk\n6AAqKyvV7t27TY+HctMXv/hFTJ06FU899VTY9vLycvh8PouiCiciYV0+i4qK0NXVhdWrV2Px4sUW\nRkYDmYi8qpSq7O/rMtUGcCuA5zN0LspTRksrZnolsFgiv3B1dXUBYBUQWSOlBCAi20Vkj87j+pBj\nagGcBaDbDUJEakRkt4jsPnLkSCrhUJ777LPPgo2qoTK9Elgy7rnnHqtDoDyUUgJQSs1SSn1Z5/Es\nAIhINYBvAXApg7ompVS9UqpSKVU5ZsyYVMKhPNfV1YWhQ4dGbXe73YYrhRHlMzN7Ac0GcDeAuUqp\nznjHE6Vi7dq1UErh5z//ue7Uz7fddpuF0RkTkeBzo7ECRGYxsw3gtwBGANgmIm+IyBoTz0V5zOPx\n4Pbbbw/+HNnv3uPxoKGhwarwDEU2CBuNFSAyS0Z6ASWKvYAoGUa9fLQ5eLKpFxDgH6cwdOhQ3RlL\nY80bRGQk23sBEZnGqJePtj2begFps4EeO3ZMd382xUq5jwmABrxY00HE2p9pgwcPhtvthsvlihsz\nUSYwAdCA53a7UVRUFLYtdDqIqqqqsMZWq3R3d6O6uho2mw0nT56M6pkUb+ZQonRjAqABz+Vy4Ze/\n/GXw59BFV7QG4Gxp6+rt7YVSCu3t7VBKhc1WGjmFBZHZ2AhMOaGlpQUXXXQRPB4P5s+fH9xeUlJi\nuDxkNnA6ncEG6mz6LNLAwkZgyms9PT0AELYIjMfjyeqbP8BGX7IWEwDlBL0EUFtba1U4CWOjL1mJ\nCYBywnPPPQcA+Pa3vx0cCZzt367Z6EtWYwKgAc/j8YQ1AmsjgUePHm1hVLEVFBSw0ZcsxwRAA15t\nbS3OnDkTtk1bKD5ytbCCggLLu4QOHjwYDQ0NvPmT5ZgAaMCLtTC8tlqYiMDhcETNv2OFESNG8OZP\nWYEJgAa8eAvDe71e9PX1Yfjw4Th79myGo4sWOQ3E1KlTMWTIEIuioXzGBEADntvtjrqB6jWwZkuj\ncGTCmjBhAqZOnWpRNJTPmABowHO5XPjJT34S/Dl0JHCobOhyKSJRiamnpyes+ypRpjABUE6YO3cu\nAGDDhg3wer26dexWd7kUESxevDgqNiYAsgoTAOUE7QaqDQjT43K5wubeySSHw4G1a9eirq4uah8T\nAFmFCYByQiIJAABWrlwZ1TXUTAUFBWhsbMTRo0cNe/4wAZBVBlkdAFE6JJoAtJvwggULTI8J8M/+\nGQ8TAFmFJQDKCYkmACDzVUHx1vplAiCrMAFQTuhPAgCArq4uM8MJ09nZGVwIRpunKBQTAFmFVUCU\nE/qTADweD06dOmV2SGG0qiBtniLg8+ooJgCyCksAlBP6kwCsnia6s7MzLAYmALKK6QlARP5ZRJSI\nlJh9Lspf2g20u7s77rHZMCI4NIbu7m4mALKEqQlARM4HcA0A6z9xlNP6UwLIhmmiQ0clswRAVjG7\nBPC/AdwFgIudkqm0aZ4TbQTOlIKCgqhthYWFYaOSmQDIKqYlABGZC+CQUupNs85BFMputwfXAYgl\ncjZOM+mNAwjdppTC6dOnMzo4jUiTUi8gEdkOYKzOrloAPwFwbQLvUQOgBsiOybpo4CouLkZHR0fc\n48rKyuDz+TIQkb6+vr5gT6Drr78evb29KC4utiweyl8plQCUUrOUUl+OfAD4AMBEAG+KiBfABACv\niUhUslBK1SulKpVSlWPGjEklHMpzI0eOTCgBVFVVZSCa2LSeQFq8I0eOtDgiykemjANQSr0N4Fzt\n50ASqFRKHTXjfESAvwTw2WefxT3uqaeeykA08bW2tgbjZQmArMBxAJQzEikBLF26FO3t7RmKKDab\nzRZMRiwBkBUykgCUUuX89k9mi9cG4PF4sGbNmgxGFFtvby9WrFgBgCUAsgZLAJQzYlUBeTweVFdX\nW7YgvMPh0O0SeubMGQBMAGQNJgDKGUZVQB6PBzU1NQlNzWwGu92OlStXoq+vz/AYVgGRFZgAKGcU\nFxfjzJkzUTN91tbWJjQ+wCzV1dVwuVwxuzmzBEBWYAKgnKHdRCNLAVbP/bNmzRosXboUbrc7asDX\noEGDUFBQgKFDh1oUHeUzJgDKGVo1SmQCsHqAoVIKq1evxt/+9jfU19fD6XRCROB0OnHVVVdh1KhR\nEBFLY6T8xARAOUMrAUQ2BOt987aC1gPJ6/Wir68PXq8X5557Lqt/yDJMAJQzjEoALpcr+M3bSkqp\nqLUIOjo62ABMlmECoJxh1AYA+JOA1+u1PAn4fL6wJSE7OjpYAiDLMAFQztDm+T961HjModvttry+\nPXSR+Pb29qxYn4DyExMA5Yxzzz0XNpsNbW1thse4XC7LBoNpQpeEPHToEMaPH29pPJS/mAAoZwwa\nNAhjx46NmQAAWF4NBPirgsrKynDixAmUlpZaHQ7lKSYAyinjx4/HoUOHorZ7PB6Ul5fDZrPh5MmT\nFkQW7cCBAwCADz/80OJIKF8xAVBOKS0tjUoA2lQQPp8PSqmsmQ1Us2HDBqtDoDzFBEA5Zfz48VFV\nQFZPBRHPxx9/bHUIlKeYACinlJaWor29PWw+ICungtAWq3c6nXA4HLrHnH/++RmOisiPCYByitaj\n5vDhw8FtiU4FoTddcyrsdjsaGhqCo35XrlypOyL53/7t39J6XqJEMQFQTtF61IS2A7jdbgwePDju\na6+++uqkz+twOLBkyZKweX7q6+vhcrmCx4SOSBYR2O12jB8/PuwYokxiAqCcopUAQtsBXC4XRowY\nEfe1O3bsSOqc2nz/dXV1wXl+3G43amtrYbPZUF5eHhz4pY1I7uvrw1e/+lVcdNFFSZ2TKB2YACin\n6JUAAODYsWNxX9vb22tYTx9L6MAuILrXkc/nCxv9q2lra+MYALIUEwDllJEjR6KoqCgqASTSDlBQ\nUICbbropqfP6fL7gc71eR5FJoq+vD21tbRwFTJZiAqCcIiIoLS2N6gqayJTQFRUVaGhoSPq82jd8\no15Hodvb29vR09PDEgBZigmAcs748eNx8ODBsG2JTAnd0tKS9HiB0KmejUobodu1EgpLAGQlUxOA\niNwhIi0isldE/t3McxFpvvCFL2D//v1R27UGWKPZQFNdNF77hq9X2rDb7XC73cGf33vvvWCsRFYx\nLQGIyP8CcD2AryilvgTgQbPORRSqoqIChw8fxvHjx3X3G31DT3UcgM1mg8fjieruqdcltKWlBQBw\n4YUXpnROolSYWQJYAuBXSqkzAKCU+sTEcxEFVVRUAADeffdd3f1G39BrampSWiugt7c32NsntLun\n1+uN6uvf3NyM888/H8OGDUv6fESpMjMBTAbwDRFpEpG/iMj/MPFcREFaAmhubtbd73K5UF1dHfzG\nX1BQgOrqatTV1WHx4sUpJYHOzk4sX7487nEtLS0cA0CWSykBiMh2Edmj87gewCAAowB8DcCdAJ4S\nnU+WiNSIyG4R2X3kyJFUwiEC4K9Xt9lswWqWSB6PBw0NDcE6/97eXjQ0NMDj8aCurg5r165NajyA\npr29ParPfyilFFpaWoKJisgqKSUApdQspdSXdR7PAjgI4BnltwtAH4ASnfeoV0pVKqUqx4wZk0o4\nRACAIUOGYNKkSYYJwKif/oIFC1BeXg4AGD58eEoxRC7+Huqjjz7CiRMnmADIcmZWAW0EMAMARGQy\ngMEAjBdrJUqjiooKwwQQa3ZQbdRu6MCuZMQ6h1Y1xQRAVjMzATwGYJKI7AGwDkC1snoxVsobFRUV\neO+999DX1xe1L96o4M7OzpR7BMU6h5aY2AZAVjMtASilupVSCwJVQpcqpf5s1rmIIlVUVOD06dPB\nZRdDJTIquLe3F4WFhUmdO7LPf6SWlhbY7XaOAibLcSQw5aRYPYESGRXscDj63RvIqM9/pJaWFkye\nPBk2Gz9+ZC3+BVJO0hKAUTuA1k+/sbFRd0wAAHR3dyd8PqfTadjnP1JzczPr/ykrMAFQTjrvvPNQ\nXFxsmAA0RqN2E5k+WhOvyidUV1cXvF4v6/8pKzABUE4SEUyZMgVvvfVW3GP1Ru32ZxnJeFU+Ho8H\nJSUlEBEMHToUSim0t7cn/H8hMgsTAOWsadOm4bXXXsPZs2f7/dpEGooBf2NxbW2t4cAvj8eDRYsW\nRd3wH3300ZiDxYgygQmActa0adPQ2dmJPXv29Pu1WtVQIiOCfT4fFi5cCBEJW/4R8A8I6+npiXpN\nT09PzMFiRJnABEA5a/r06QCAXbt2JfV6l8uV8IhgbYhL5PKPsQaExdpHlAlMAJSzJk2ahJKSEjQ1\nNSX9HsncpEOXf4zVlpBoOwORWZgAKGeJCKZNm5ZSAkj2Jh26OIzegLLBgwcn3HOIyCxMAJTTpk2b\nhnfeeQcnTpxI6vVGN/B4Ro8eDcBfjfT444+HtSWMGjUKjz32WNzxAkRmYwKgnDZ9+nQopbB79+6k\n3yOZpSJPnDgRbAdwuVw4evQo5s6di8mTJ+PYsWO8+VNWYAKgnDZt2jQASKoayOPxoKamRndCuXi6\nu7vDevkopdDU1BRsmCbKBkwAlNNGjx6NCy64IKmeQHrrBvRHaAPygQMH8PHHHzMBUFZhAqCcN336\n9KRKAIn2ADIaKxDagKydXyuREGUDJgDKeZdffjna2trw/vvv9+t1ifQAcjgcWLlype6EcqG9fHbu\n3ImhQ4fiq1/9ar9iIDITEwDlvNmzZwMANm/e3K/XJTIdxMUXX6w7oVx1dTVqa2ths9ngdDqxfv16\nzJgxA4MHD076/0GUbkwAlPO+8IUvoKKiot8JIJF1A3bs2AGPx4Pa2lq0trairKwMVVVVaGhogM/n\ng1IKra2tOHLkCLjmNWUbJgDKC3PmzMGOHTtw8uTJsO0ejwfl5eWw2WxR8/gAn88UaqS3tze4hrBS\nCj6fD2vWrNFtPN62bVta/i9E6cIEQHlhzpw56O7uxosvvhjcpnXzDL15h87jEyrWGsGRN3ujpa8P\nHTqUZPRE5mACoLxw5ZVXYsSIEdiyZUtwm143z9B5fELV1NSkHEOqC80TpZsYfVuxQmVlpUplxCZR\nLDfeeCOamprQ2toKEYHNZtP9ti4iuoO/+rtGsJ5s+rxR7hCRV5VSlf19HUsAlDfmzJmDgwcPBlcJ\nM+rmabQ9VmNwIlJ9PVG6mZYARORiEXlZRN4Qkd0iwhEwZKlvfvObAD7vDqrXzTOy/35oI7HeMo6J\nrBqm975EWUEpZcoDwAsAvhkdCd3WAAALPklEQVR4XgVgR7zXXHbZZYrITJWVlWr69OnBnxsbG5XT\n6VQiopxOp2psbAzbZ7fbFQDdh4ioJUuWKKfTqbvfZrMFjwMQ9f5E6QJgt0riPm1mFZACcE7geTGA\nNhPPRZSQ7373u2hqagouE6m3ILwm3lxASils2bLFsCRRUVERPA6IXi2MyGpmJoAfAvi1iBwA8CCA\ne008F1FCbrnlFgwZMgSPPvpo3GMTmQuotbVVdyTwww8/jObm5qjjjXoZEVkhpQQgIttFZI/O43oA\nSwD8SCl1PoAfAfgPg/eoCbQR7D5y5Egq4RDFVVJSgnnz5uGJJ56IGhQWKZG5gLRjIksSZ86cMezx\nw7WAKVuklACUUrOUUl/WeTwLoBrAM4FD/xOAbiOwUqpeKVWplKrkUHnKhMWLF+P48eNYt25dzOOq\nqqpidv00athVSmHNmjWG8/5wLWDKFmZWAbUBuCrwfAaA90w8F1HCvv71r2Pq1KlYvXq14bd0j8eD\nhoaGqP3Dhg0LVvPU19frruz117/+FXv37kV1dXXcXkZElkqm5TiRB4ArAbwK4E0ATQAui/ca9gKi\nTFm1apUCoHbt2qW736hnj9PpjPve8+fPV8XFxerkyZMxexkRpQuS7AXEkcCUl44fP47x48fjpptu\nwmOPPRa1v7+jhDVHjhzBhAkTsHjxYqxcuTKtMRMZ4Uhgon4455xzsGDBAvzhD3/ABx98ELW/v6OE\nNQ8++CC6u7tx++23pyVOIjMxAVDe+pd/+RcMGjQIy5cvj9qXyCjhSPv27cNDDz2EW265BVOmTEl7\nvETpxgRAeWvChAm477778Mc//hHPPfdc2D69vv1Gjb6Avy1t2bJlGD58OFasWJGJ8IlSxjYAyms9\nPT24+OKL0dnZib179yY8t0+k9evX4+abb8aqVauwdOnSNEdJFBvbAIiSUFhYiFWrVsHr9eJXv/pV\nUu9x4sQJ/NM//RMuvfRS1v3TgMIEQHnv6quvxvz587FixYrgVNGJUkrh3nvvxeHDh1FXV8dFX2hA\nYQIggr/3jsPhwMyZM/H6668n9BqlFO666y6sWrUKy5cvx/Tp002Okii9mACIAIwbNw47d+6E3W7H\njBkz0NTUFPP4vr4+LFu2DA8++CB+8IMf4De/+U2GIiVKHyYAooALLrgAO3fuhMPhwKxZs7B161bd\nwWCnTp3C97//fdTV1eHOO+/EI488ApuNHyUaeAZZHQBRNnE6ndi5cydmzZqF2bNnY+LEibjhhhvw\nrW99C62trdiwYQNeeOEFdHV14Wc/+xl+9rOfpWWtYCIrsBsokY7jx4/jqaeewsaNG7Ft2zZ0d3cD\n8I8EvuGGG3DjjTfiG9/4hsVREvkl2w2UCYAojhMnTuCll15CaWkpLr30Un7jp6yTbAJgFRBRHCNG\njMDcuXOtDoMo7dhyRUSUp5gAiIjyFBMAEVGeYgIgIspTTABERHmKCYCIKE8xARDF4PF4UF5eDpvN\nhvLycng8HqtDIkobjgMgMuDxeFBTU4POzk4AgM/nQ01NDQAYrgxGNJCwBEBkoLa2Nnjz13R2dqK2\nttaiiIjSiwmAyEBra2u/thMNNCklABGZJyJ7RaRPRCoj9t0rIvtFpEVErkstTKLMKysr69d2ooEm\n1RLAHgDfAbAzdKOITAFwM4AvAZgNoE5EuFYeDShutztqkXi73Q63221RRETplVICUErtU0q16Oy6\nHsA6pdQZpdSHAPYDmJbKuYgyzeVyob6+Hk6nEyICp9OJ+vp6NgBTzjCrF1ApgJdDfj4Y2BZFRGoA\n1AAsWlP2cblcvOFTzoqbAERkO4CxOrtqlVLPGr1MZ5vuwgNKqXoA9YB/PYB48RARUXrETQBKqVlJ\nvO9BAOeH/DwBQFsS70NERCYxqxvoJgA3i8gQEZkI4EIAu0w6FxERJSHVbqDfFpGDAC4HsFlEtgKA\nUmovgKcAvAPgTwB+oJTqTTVYIiJKn5QagZVSGwBsMNjnBsD+ckREWSqrFoUXkSMAfGl8yxIAR9P4\nfunE2JLD2PovW+MCGFuyImNzKqXG9PdNsioBpJuI7FZKVcY/MvMYW3IYW/9la1wAY0tWumLjXEBE\nRHmKCYCIKE/legKotzqAGBhbchhb/2VrXABjS1ZaYsvpNgAiIjKW6yUAIiIykFMJQETWi8gbgYdX\nRN4wOM4rIm8HjtudodjuE5FDIfFVGRw3O7CGwn4RuSdDsf1aRJpF5C0R2SAiIw2Oy8h1i3cNAiPM\n1wf2N4lIuVmxRJz3fBF5SUT2BdbBWK5zzNUi0hHye/7XTMQWOHfM34/4/Z/AdXtLRC7NUFwVIdfj\nDRE5LiI/jDgmY9dNRB4TkU9EZE/IttEisk1E3gv8O8rgtdWBY94TkeoMxWbe51MplZMPAL8B8K8G\n+7wASjIcz30A/jnOMQUA3gcwCcBgAG8CmJKB2K4FMCjwfAWAFVZdt0SuAYClANYEnt8MYH2Gfofj\nAFwaeD4CwLs6sV0N4I+Z/NtK9PcDoArA8/BP1vg1AE0WxFgA4CP4+61bct0A/E8AlwLYE7Lt3wHc\nE3h+j95nAMBoAB8E/h0VeD4qA7GZ9vnMqRKARkQEwE0AnrQ6ln6aBmC/UuoDpVQ3gHXwr61gKqXU\nC0qps4EfX4Z/8j6rJHINrgfQEHj+NICZgd+5qZRSh5VSrwWenwCwDwbTnGep6wE8ofxeBjBSRMZl\nOIaZAN5XSqVzwGe/KKV2AjgWsTn0b6oBwA06L70OwDal1DGl1KcAtsG/4JWpsZn5+czJBADgGwA+\nVkq9Z7BfAXhBRF4NrEeQKcsCxbjHDIqYpQAOhPxsuI6CiW6F/1uinkxct0SuQfCYwAejA4DDpHh0\nBaqdLgHQpLP7chF5U0SeF5EvZTCseL+fbPj7uhnGX8ysum4AcJ5S6jDgT/QAztU5JhuuX1o/n2Yt\nCGMaSWx9gn9A7G//Vyil2kTkXADbRKQ5kHlNiw3AagA/h/+X9HP4q6hujXwLndempZtWItdNRGoB\nnAXgMXgbU65bZKg62yKvgWnXKREiMhzAfwH4oVLqeMTu1+Cv3jgZaOfZCP9suJkQ7/dj9XUbDGAu\ngHt1dlt53RJl9fVL++dzwCUAFWd9AhEZBP86xZfFeI+2wL+fiMgG+KsdUr6RxYstJMb/C+CPOrtM\nW0chgetWDeBbAGaqQIWiznuYct0iJHINtGMOBn7fxYgu0ptCRArhv/l7lFLPRO4PTQhKqS0iUici\nJUop0+eUSeD3Y/U6Hd8E8JpS6uPIHVZet4CPRWScUupwoFrsE51jDsLfVqGZAGBHBmIz7fOZi1VA\nswA0K6UO6u0UkWEiMkJ7Dn8Dyx69Y9Mpoq712wbnfAXAhSIyMfBt6Wb411YwO7bZAO4GMFcp1Wlw\nTKauWyLXYBMArQfGjQD+bPShSKdAO8N/ANinlHrI4JixWnuEiEyD/zPWnoHYEvn9bALwvUBvoK8B\n6NCqPTLEsGRu1XULEfo3VQ1Ab7XDrQCuFZFRgSrcawPbTGXq5zOdLdjZ8ADwewCLI7aNB7Al8HwS\n/D1L3gSwF/4qkEzEtRbA2wDegv+PbVxkbIGfq+DvXfJ+BmPbD3/d5huBx5rI2DJ53fSuAYAHAh8A\nACgC8J+BuHcBmJSh63Ql/EX+t0KuVRWAxdrfHIBlgevzJvwNdl/PUGy6v5+I2ATAqsB1fRtAZSZi\nC5zbDv8NvThkmyXXDf4kdBhAD/zf6m+Dvw3pRQDvBf4dHTi2EsDvQl57a+Dvbj+ARRmKzbTPJ0cC\nExHlqVysAiIiogQwARAR5SkmACKiPMUEQESUp5gAiIjyFBMAEVGeYgIgIspTTABERHnq/wNgWAmb\nlYqswwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11426ca90>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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swh158+alS5cuTlmr0YYvTRYqIM2aNYuDBw8CULJkSVq0aOFyROGrV69eRERY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\npVSGNFkopZTK0P8DQMIgBKGOq28AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11018c0f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import pylab as pl\n",
"import numpy as np\n",
"\n",
"x = np.arange(-5,5,0.01)\n",
"s = 1\n",
"mu = 0\n",
"y = 1/(np.sqrt(2*np.pi)*s) * np.exp(-0.5*(x-mu)**2/s**2)\n",
"pl.plot(x,y,'k')\n",
"\n",
"pl.close('all')\n",
"mu = np.array([2,-3])\n",
"s = np.array([1,1])\n",
"#s = array([0.5,2])\n",
"x = np.random.normal(mu,scale=s,size = (500,2))\n",
"pl.plot(x[:,0],x[:,1],'ko')\n",
"#axis(array([0,3,-8,4]))\n",
"pl.axis('equal')\n",
"\n",
"theta = np.arange(0,2.1*np.pi,np.pi/20)\n",
"\n",
"pl.plot(mu[0]+2*np.cos(theta),mu[1]+2*np.sin(theta),'k-')\n",
"pl.plot(mu[0]+3*np.cos(theta),mu[1]+3*np.sin(theta),'k-')\n",
"\n",
"\n",
"pl.figure()\n",
"\n",
"mu = np.array([2,-3])\n",
"s = np.array([0.5,2])\n",
"x = np.random.normal(mu,scale=s,size = (500,2))\n",
"phi = 2*np.pi/3\n",
"pl.plot(x[:,0]*np.cos(phi)+x[:,1]*np.sin(phi),x[:,0]*(-np.sin(phi)) + x[:,1]*np.cos(phi),'ko')\n",
"pl.axis('equal')\n",
"\n",
"theta = np.arange(0,2.1*np.pi,np.pi/20)\n",
"pl.plot((mu[0]+3*s[0]*np.cos(theta))*np.cos(phi)+(mu[1]+3*s[1]*np.sin(theta))*np.sin(phi), (mu[0]+3*s[0]*np.cos(theta))*np.sin(-phi)+(mu[1]+3*s[1]*np.sin(theta))*np.cos(phi), 'k-')\n",
"\n",
"pl.figure()\n",
"mu = np.array([2,-3])\n",
"s = np.array([0.5,2])\n",
"x = np.random.normal(mu,scale=s,size = (500,2))\n",
"pl.plot(x[:,0],x[:,1],'ko')\n",
"pl.axis('equal')\n",
"\n",
"theta = np.arange(0,2.1*np.pi,np.pi/20)\n",
"pl.plot(mu[0]+3*s[0]*np.cos(theta),mu[1]+3*s[1]*np.sin(theta), 'k-')\n",
"\n",
"pl.show()\n",
"\n",
"import pylab as pl\n",
"import numpy as np\n",
"\n",
"gaussian = lambda x: 1/(np.sqrt(2*np.pi)*1.5)*np.exp(-(x-0)**2/(2*(1.5**2)))\n",
"x = np.arange(-5,5,0.01)\n",
"y = gaussian(x)\n",
"pl.ion()\n",
"pl.plot(x,y,'k',linewidth=3)\n",
"pl.xlabel('x')\n",
"pl.ylabel('y(x)')\n",
"pl.axis([-5,5,0,0.3])\n",
"pl.title('Gaussian Function (mean 0, standard deviation 1.5)')\n",
"pl.show()"
]
},
{
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"source": []
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