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authorhardythe12015-04-07 15:58:05 +0530
committerhardythe12015-04-07 15:58:05 +0530
commitc7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 (patch)
tree725a7d43dc1687edf95bc36d39bebc3000f1de8f /ELECTRIC_MACHINERY/chapter11.ipynb
parent62aa228e2519ac7b7f1aef53001f2f2e988a6eb1 (diff)
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Diffstat (limited to 'ELECTRIC_MACHINERY/chapter11.ipynb')
-rwxr-xr-xELECTRIC_MACHINERY/chapter11.ipynb39
1 files changed, 12 insertions, 27 deletions
diff --git a/ELECTRIC_MACHINERY/chapter11.ipynb b/ELECTRIC_MACHINERY/chapter11.ipynb
index c9c095c8..308afbf5 100755
--- a/ELECTRIC_MACHINERY/chapter11.ipynb
+++ b/ELECTRIC_MACHINERY/chapter11.ipynb
@@ -1,6 +1,7 @@
{
"metadata": {
- "name": ""
+ "name": "",
+ "signature": "sha256:4aa0be3787a5262658b58d5130a82adad92353bb1944b3902dc15e9d5045fa75"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -145,8 +146,9 @@
"collapsed": false,
"input": [
"from __future__ import division\n",
- "%pylab inline\n",
+ "%matplotlib inline\n",
"from math import *\n",
+ "from pylab import *\n",
"\n",
"#Variable declaration:\n",
"Rf=109 #Field resistance(ohm)\n",
@@ -197,28 +199,19 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "Populating the interactive namespace from numpy and matplotlib\n",
"The plot is as shown:\n"
]
},
{
- "output_type": "stream",
- "stream": "stderr",
- "text": [
- "WARNING: pylab import has clobbered these variables: ['Polygon', 'seterr', 'poly', 'cosh', 'ldexp', 'hypot', 'flatten', 'conjugate', 'diff', 'tan', 'Circle', 'roots', 'plot', 'isnan', 'eye', 'trace', 'fabs', 'floor', 'diag', 'invert', 'nan', 'modf', 'sqrt', 'frexp', 'source', 'add', 'degrees', 'take', 'var', 'zeros', 'prod', 'log10', 'plotting', 'product', 'exp', 'power', 'multinomial', 'copysign', 'transpose', 'expm1', 'ceil', 'test', 'beta', 'ones', 'isinf', 'sinh', 'vectorize', 'sign', 'trunc', 'cos', 'pi', 'e', 'f', 'tanh', 'det', 'radians', 'mod', 'binomial', 'solve', 'log', 'fmod', 'reshape', 'sin', 'log1p', 'gamma', 'interactive']\n",
- "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
- ]
- },
- {
"metadata": {},
"output_type": "display_data",
- "png": 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0gIN7DuJ51JN/H/13odvr0ACSmppKQEAAISEhDBkyhCNHjpCQkED79u0BMJvNdOrUib17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\nQwPI2LFj2bRpU4ZtgwYNIjY2lmPHjtG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DvCo0sVPjozsQFWzatAlCoRBCoRCbNzf82I46Ojrlrw8dOoTp06eXv1d8lFfV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\ngg==\n",
"text": [
- "<matplotlib.figure.Figure at 0x3b84990>"
+ "<matplotlib.figure.Figure at 0x2718810>"
]
}
],
- "prompt_number": 2
+ "prompt_number": 7
},
{
"cell_type": "heading",
@@ -889,8 +882,9 @@
"collapsed": false,
"input": [
"from __future__ import division\n",
- "%pylab inline\n",
+ "%matplotlib inline\n",
"from math import *\n",
+ "from pylab import *\n",
"\n",
"#Variable declaration:\n",
"P_rated = 12*10**3 #Watts\n",
@@ -960,28 +954,19 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "Populating the interactive namespace from numpy and matplotlib\n",
"The required plot is as shown:\n"
]
},
{
- "output_type": "stream",
- "stream": "stderr",
- "text": [
- "WARNING: pylab import has clobbered these variables: ['vectorize', 'prod', 'plotting', 'Circle', 'diag', 'sinh', 'trunc', 'plot', 'eye', 'f', 'det', 'tan', 'product', 'gamma', 'roots', 'radians', 'sin', 'fmod', 'expm1', 'ldexp', 'zeros', 'cosh', 'info', 'interactive', 'conjugate', 'linalg', 'take', 'trace', 'beta', 'exp', 'random', 'frexp', 'fft', 'ceil', 'ones', 'copysign', 'isnan', 'multinomial', 'cos', 'transpose', 'solve', 'diff', 'invert', 'degrees', 'pi', 'tanh', 'Polygon', 'fabs', 'reshape', 'sqrt', 'floor', 'source', 'add', 'poly', 'mod', 'sign', 'hypot', 'power', 'binomial', 'log', 'var', 'log10', 'e', 'seterr', 'log1p', 'flatten', 'nan', 'modf', 'isinf', 'test']\n",
- "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
- ]
- },
- {
"metadata": {},
"output_type": "display_data",
- "png": 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iREeT5NGwlFWU8e3Rb0nsmOjQ78nM1KqQ8nJt6duoKId+nRB1TpKHJA+Xt+OX\nHVyuuEyPwB51+r1XOtT/9jcYPVqrSG5kzRAhnJGsYS5c3pniM5y9dLbOv/dKh/revdoEi6Gh8Omn\nIH+rCKGRykM4nb2n99Llli5ONV36xo0wdSrceiu8+iqEhOgdkRA3TioP4ZJmr5/NobOH9A6jkrg4\nSE+HQYOgVy9tfEhRkd5RCaEfqTyEUyguK6Zpo/oxSu/kSZgxAzZsgJdeghEjZLJFUb9I5SFcwokL\nJ4h7Kw6LsugdSo20aQPvvw/vvQezZsGAAXDggN5RCVG3pPIQTqHwciHejb31DsNmZWWweDH84x/w\npz9p05y0aKF3VEJcn1Qeot5asWcF8zfPt76vj4kDoFEjeOIJ2LcPzp7VOtLfeUd71FcIVyaVh9DF\nyYvaWvVtmrfRORL72r4dHntMm+r91VchNlbviIS4mlQeol6Zs3EOuYW5gJY0XC1xAHTrBlu3alOb\nDBmijRXJzdU7KiHsT5KHqDNBLYNwM7j+r5ybG4wfr3Wit24NYWEwbx6UluodmRD249B/yampqYSH\nhxMaGsq8efOu2p6fn09iYiJGo5E//OEP7Nu3r8bHCudXUl7CukPrrO9Hh4/Gt5mvjhHVrZtu0lYu\n3LJF+wkNhS+/lFHqwkXUeiHbKpSUlKigoCBlNptVWVmZio2NVenp6ZX2eeyxx9Szzz6rlFLqwIED\nqnv37jU+9te+GkeFL+zgdOFpNWnVJFVhqdA7FKfw7bdKhYUp1aePUrt26R2NaMjsce10WOWxbds2\njEYj/v7+eHh4kJSUxJo1ayrtc/DgQfr06QNA586dOX36NL/88kuNjhXOqaS8hNNFpwHwaebDG0Pf\naBC3qmqib1/IyIA//hH694dJk7QBh0LURw77V202mwkMDLS+DwgIwGw2V9onPDycL774AoDt27eT\nlZXFiRMnyMnJqfZY4ZyWZyznzfQ39Q7DaXl4wCOPVO4Pee45KC7WOzIhbOPhqBPXZLGeWbNmMWXK\nFIxGI126dCE2NtbmRX5SUlKsr+Pj44mPj7cxUlFb5ZZyPNy0X6VHYh+RSqMGWraEF17Q1g2ZORM6\nd9YGGo4ZIwtQCfszmUyYTCa7ntNhySMgIIDs7Gzr++zs7ErVBECLFi1YsWKF9X1wcDCdO3fm8uXL\n1R57xW+Th9DHgPcH8FL/lwj3C5fEYaP27eGjj7QO9f/9X1i0CBYsgF/v5gphF7//w3r27Nm1PqfD\n/qV37dphAOXxAAAX8UlEQVSVvXv3kpOTQ1lZGZ988gmJiZVXgCsoKKC8vByA999/n5iYGFq2bFmj\nY4Xz+HDkh4T7hesdRr3WvTv8+CM8+aQ2NmTQIG0tESGclcOSh5eXF0uWLKF///5ERkYyYsQIYmJi\nWLp0KUuXLgVg7969GI1GIiMjWblyJcuWLbvuscI5mAvMjP58tHUiQ59mPjpH5BoMBkhKgp9+gnvu\n0TrYJ06EnBy9IxPiajI9ibCZRVnYfGIzce3i9A7FpV24oA0uXLpU62R/8klt7IgQtSXTk4g6Yzpu\nIvVwKgBuBjdJHHXgpptgzhzYvVt7pLdTJ3j5ZRmpLpyDJA9RI57unni6e+odRoMUEADLl8O338L3\n32tPZr3zDlRU6B2ZaMjktpWo0jeHv6FP+z40dm+sdyjiNzZtgr/+Fc6f1yqTIUNkJUNhG7ltJRxG\nKcXXP39N9oXs6ncWdapXL9i4Ef75T3jqKW199Y0b9Y5KNDRSeQgrpRQnLpygXct2eociaqiiAlas\n0JbDDQmB55+HO+7QOyrh7KTyEHZ15NwRxq8aLwm5HnF3h3Hj4OBB7fbV0KEwahTs3693ZMLVSeXR\nwCmlKLOUWfs1lFI2TxEjnEdxMfzrX9pU8ImJWkVy++16RyWcjVQeotZe2PwCi7Yusr6XxFG/NW0K\nM2bA4cPa1CfdumljRLKl60rYmVQeDdzF0os0adTEOrGhcC35+dpcWa+/DsnJ2iSM/v56RyX0JpWH\nsJlSimEfDbM+RdXcs7kkDhd2880wd6425YmXF4SHw7Rpsq66qD1JHg2MwWBg1l2z8G8hf342JL6+\nWgVyZaXn0FD4y1/g1Cl94xL1lySPBuDouaPM3TjX+j6mTYxMnd5AtWmjTXGSmalNc9KlC0yfLpWI\nsJ1cQRqAW5reQlDLIL3DEE7E3x9efVVLImVlWiXyxBOyLK6oOUkeLmrTiU38lPcTAC08W5Acnlzt\nMXfffTf//ve/K3328ssvM3XqVIfEKPTn7w+vvKKtHaIUGI3w5z/DL7/oHZlwdpI8XFTW+SxyC227\nF5GcnMxHH31U6bOPP/6Y0aNH2zM04YTattVuZ+3bpw08DAuDqVPh+HG9IxPOSh7VdSE7ftlBbNvY\nGz7+7NmzdOnShZycHDw8PDh+/Dh33XUXiYmJ7Ny5kwsXLjBixAj++c9/2jFq4YxOn4aXXtIe8R02\nTHvEt2NHvaMS9uL0j+qmpqYSHh5OaGgo8+bNu2p7bm4uffv2xWg00rlzZ+sKgwBBQUFEREQQHR1N\nt27dHBmmSyirKGOWaRb5xfk3fI7WrVvTrVs31q5dC8BHH31EUlIS8+fPJy0tjZ9++olt27axc+dO\ne4UtnJSvr/aI7+HDEBQEPXrA6NGyNK74DeUgJSUlKigoSJnNZlVWVqZiY2NVenp6pX2eeuop9de/\n/lUppVReXp5q2bKlKikpUUopFRQUpPLz86/7HQ4Mv16wWCwqryjPrudcsWKFSk5OVkopFRUVpdLT\n09WLL76oIiIiVGRkpPLx8VErVqyw63cK51dQoNS8eUr5+Sk1bJhSW7fqHZGoDXtcOx1WeWzbtg2j\n0Yi/vz8eHh4kJSWxZs2aSvsEBgZSUFAAQEFBAT4+Pnh6/nfBISW3pK7r+2Pf8/i6x+16zqFDh/Ld\nd9+RkZFBcXExzZo141//+hebN29m165dDBo0iLKyMrt+p3B+zZtry+AeOwYJCdpa63ffDf/5j9bR\nLhoehyUPs9lMYGCg9X1AQABms7nSPg899BD79u2jbdu2REZGsmhR5TmWEhISiIiIYPHixY4Ks96p\nsFRYk+rd7e/m3Xvftev5vb296dOnD+PHj2f06NGUlJTg7e1Ns2bNOHPmDOvWrZP5rxqwJk3g0Ufh\n0CH405+0J7O6dYMvvgCLRe/oRF1y2LwUNbnAzJkzh6ioKEwmE0eOHCEhIYHdu3fTvHlztm7diq+v\nL3l5eQwYMICQkBD69et31TlSUlKsr+Pj44mPj7djK5zPlDVTGNxpMEM7D8VgMOBhsP9/wuTkZEaM\nGMEnn3xCp06dCA8Pp2PHjgQHB9OrVy+7f5+ofxo10qaCHzMGvvpK6x/529+0SRnHjAFPWbHYqZhM\nJkwmk13P6bCnrTZu3Mi8efP4+uuvAZg/fz6XL1/mqaeesu4zYMAAnn76aXr27AlA3759mTt37lUd\n5HPnaqOjZ86cWTn4Bvi0VV5RHjc3vVlGiAunohSYTPDCC7Bnj1aRTJ4MN92kd2TiWpz6aauuXbuy\nd+9ecnJyKCsr45NPPiExMbHSPsHBwXz77bcAnDp1iv379xMUFERxcTHFxcUAFBUVkZqaitFodFSo\nTq2gtICBKwZSUl4CgE8zH0kcwukYDNCnD6xbB2vXagnk9tu1fpKcHL2jE47gsKuQl5cXS5YsoX//\n/kRGRjJixAhiYmJYunSp9ZHcZ555hk2bNhEaGkrv3r15/vnn8fX1JTc3l+7duxMVFUV0dDR33XUX\nQ4cOdVSoTq2FZwtS4lPw8vDSOxQhaiQyEt5/H9LT4fJlbSbf8ePlMV9XI4MEndCGrA0cPnuYCdET\n9A5FiFo7exZee02bSysyUpuIsV8/rVoR+rDHtVOShxM6lH+I3MJc4trF6R2KEHZTWgoffKBNDe/h\noSWR+++Hxo31jqzhkeThQsljecZy7g25l1ZNWukdihAOpRR8842WRH76SXv0d/JkbeEqUTecusNc\n2KbwciEXSi/oHYYQDmcwwIAB8O23Wuf6oUPQoYO21vpPP+kdnagpqTx0UlJewpbsLfRp30fvUITQ\nXW6u1i/y2msQHa2tLZKQIP0ijiKVRz2WX5zP+3ver7fJTwh7uvVWSEnRpoC/7z5tiVyjUUsmRUV6\nRyeuRSqPOnT20lkqLBX4NPPROxQhnJpSsH69tlDVhg3aVCiPPgrt2+sdmWuQyqOeeW3Ha6w5tKb6\nHYVo4AwGiI/X5szasQPc3KBrVxg+HL7/XiZjdAZSeTjYuUvnrE9QKaVkUkEhblBREaxYoVUjFotW\niYwbp834K2wjlYeTK7eU0/vt3uQV5QE1myxSCHFtzZrBww9DZiYsWaLNpdWuHTz2mDylpQepPByg\n3FKOh5s22+3liss0dpdRUEI4gtmsLZX7+usQGqpVI0OHarP+iqrJIEEnTB7fHv2Wt3a9xYoRK/QO\nRYgG4/Jl+Pxz+L//g6NHYdIkeOghCAjQOzLnJMnDCZNHuaWci6UXZaS4EDrJzNQe8f3wQ7jrLpgy\nRZtLy01u0ltJ8nCS5DF59WRGh4/mrqC79A5FCPGrwkKtg33JEu31ww9rj/z6+uodmf4keThJ8jiU\nf4iglkE0cpcbrUI4G6Vg2zatX+TLL+Gee7RE0qdPw61G5GkrnZwqPMWDKx+kwlIBQMebO0riEMJJ\nGQxw552wfDkcOwa9e2vTn3TurK18ePq03hHWT5I8boBvM18eCH9AVvQTop5p2VJ7Imv3bnjvPe0R\n306dYNQoSE2Figq9I6w/HHr1S01NJTw8nNDQUObNm3fV9tzcXPr27YvRaKRz587WFQZrcmxdW31w\nNasPrga0ku+e4Htk3IYQ9dSVauSttyArS5uE8emntelPUlK0z8T1OazPo7S0lJCQEDZt2oSfnx/d\nu3fn9ddfJzo62rrP3//+dyoqKpg7dy5nzpyhY8eO5ObmAlR7LNRtn0daThpuBjfuaHtHnXyfEKLu\n7doFb76pLVoVGwsTJ8KwYeDpqXdk9uXUfR7btm3DaDTi7++Ph4cHSUlJrFlTeV6nwMBACgoKACgo\nKMDHxwdPT88aHetoFZYKFv64kNLyUgC6+neVxCGEi4uK0pbLNZu1qU9ef10bK/I//wMZGXpH51wc\nljzMZjOBgYHW9wEBAZjN5kr7PPTQQ+zbt4+2bdsSGRnJokWLanyso7kZ3LAoC8VlxXX6vUII/TVp\nAg88oC1YlZYGt9wC996rrTXyyiuQn693hPrzcNSJa9IfMGfOHKKiojCZTBw5coSEhAR2795tU19C\nSkqK9XV8fDzx8fE3EO3VDAYDM3rOsMu5hBD1V1AQzJql9Yn88IPWT/LMM9C3Lzz4ICQmOv90KCaT\nCZPJZNdzOix5BAQEkJ2dbX2fnZ1dqZoA2LRpE08//TQAwcHBtG/fnv3799fo2Ct+mzyEEMJR3Ny0\nhNG3L1y4AJ9+CvPna9OgJCdriSQqyjlXP/z9H9azZ8+u9Tkddtuqa9eu7N27l5ycHMrKyvjkk09I\nTEystE9wcDDffvstAKdOnWL//v20b9++RscKIYRebrpJmz9r40bYvBlatNBua0VGwpYtekdXNxw6\nwnzdunXMmDEDi8XC2LFjmTlzpvVx3MmTJ3Pq1CnGjBlDTk4OFRUVPPnkk0ycOLHKY68K3klGmAsh\nhMWirXrYsSP4++sdzfXJ9CSSPIQQwmZO/aiuEEII1yXJQwghhM0keQghhLCZJA8hhBA2k+QhhBDC\nZpI8hBBC2EyShxBCCJtJ8hBCCGEzSR5CCCFsJslDCCGEzSR5CCGEsJkkDyGEEDaT5CGEEMJmkjyE\nEELYTJKHEEIImzk0eaSmphIeHk5oaCjz5s27avuCBQuIjo4mOjqa8PBwPDw8OH/+PABBQUFEREQQ\nHR1Nt27dHBmmEEIIWykHKSkpUUFBQcpsNquysjIVGxur0tPTq9x/9erVqm/fvtb3QUFBKj8//7rf\n4cDwncIPP/ygdwgOJe2rv1y5bUq5fvvsce10WOWxbds2jEYj/v7+eHh4kJSUxJo1a6rc/4MPPiA5\nOfn3ic1R4dULJpNJ7xAcStpXf7ly28D122cPDkseZrOZwMBA6/uAgADMZvM19y0uLuabb75h5MiR\n1s8MBgMJCQlERESwePFiR4UphBDiBng46sQGg6HG+65evZpevXrRsmVL62dbt27F19eXvLw8BgwY\nQEhICP369XNEqEIIIWxV+7tn17ZhwwY1aNAg6/sXXnhBPf/889fcd/jw4erDDz+s8lxz5sxRc+bM\nuerz4OBgBciP/MiP/MiPDT/BwcG1vsYblHJMx0JJSQkhISFs3rwZX19fevTowdKlS4mJiam034UL\nF7j99tsxm800adIE0G5jATRt2pSioiIGDhzI9OnTGTp0qCNCFUIIYSOH3bby8vJiyZIl9O/fH4vF\nwtixY4mJiWHp0qUATJ48GYCVK1fSv39/a+IAOHXqFMOHD8dgMFBcXMz9998viUMIIZyIwyoPIYQQ\nrstpR5hXN8DwwIEDdO/eHS8vLxYuXFhp26xZs+jUqRMhISGMGjXKehvMWVTXtvfee4+IiAjCw8OJ\njY1l586dNT7WGdxo+7Kzs+nduzfh4eF07tyZF154oa5Dr5Ha/PcDqKioIDo6miFDhtRVyDapTfvO\nnz/PfffdR2RkJF26dGHLli11GXqN1KZ9zn5tgerbt2rVKiIiIoiMjCQ8PJzU1NQaH1tJrXtNHKAm\nAwxPnz6t0tLS1FNPPaUWLFhg/fzQoUOqffv2qrS0VCml1B//+Ee1bNmyOo3/emrStm3btqmCggKl\nlFLr1q1TUVFRNT5Wb7VpX25ursrMzFRKKXXx4kXVsWNHtWvXrrptQDVq074rFi5cqEaPHq2GDBlS\nZ3HXVG3bN2rUKPXBBx8opZSqqKhQFy5cqLvga6A27XP2a4tSNWtfYWGh9fWePXvUbbfdVuNjf8sp\nK4+aDDD08fEhNjaWRo0aVfq8devWNGrUiKKiIsrLyykuLqZdu3Z1Gf511aRt3bp1o3nz5gD07NmT\nnJycGh+rt9q0z8/Pj7CwMAC8vb2JiIjgl19+qdsGVKM27QNt/NPatWuZNGmSUw6CrU378vPz2bVr\nl3Wwr5ubGy1atKjbBlSjNu1z9msL1Kx9zZo1s74uLCykTZs2NT72t5wyedgywPD3WrduzfTp07nt\nttto27YtLVu2dKrxIba2benSpQwbNuyGjtVDbdr3W8ePHyctLY1evXo5JM4bVdv2PfHEE8yfPx83\nN6f8p1er9h06dAgfHx/++Mc/EhYWxrhx4ygsLHR4zLaoTfuc/doCNW/fypUr6dKlC4mJibzyyis2\nHXuFU/4G2zLA8PeOHDnCyy+/zPHjx/nll18oLCxkxYoVdoyudmxpm8lkYvny5dZ7/7X5/6Wu1KZ9\nVxQWFnLfffexaNEi61+AzqI27fv666/x9fUlOjraKasOqF37LBYLaWlpzJgxg71799K6dWuee+45\nR4V6Q2rTPme/tkDN2zd8+HB++uknVq9ezdixY2/o99Epk0dAQADZ2dnW99nZ2ZUy4vVs376dHj16\ncPPNN+Ph4cGIESPYtGmTo0K1WU3btmfPHiZNmsRXX31Fq1atbDpWT7VpH0BZWRkjR45k9OjRDB8+\nvE5itkVt2vfjjz/y1Vdf0b59e5KTk/n+++8ZN25cncVeE7VpX2BgIP7+/nTt2hWAUaNGsWvXrroJ\nvIZq0z5nv7aA7deIuLg4ysvLOX36NIGBgbZdXxzQZ1Nrly5dUu3atVNms1ldvnxZxcbGqp07d15z\n31mzZlXqMN++fbsyGo2quLhYWSwWNW7cuErb9VaTtmVlZang4GC1ZcsWm4/VW23aZ7FY1NixY9W0\nadPqMmSb1KZ9v2UymdTgwYMdHa7Natu+O+64Qx08eFAppf3b/POf/1wncddUbdrn7NcWpWrWvmPH\njllf79y5UwUEBCiLxWLz9cUpk4dSSq1du1YZjUbVpUsX69Qkr732mnrttdeUUkqdPHlSBQQEqBYt\nWqiWLVuqwMBAdfHiRaWU9kvboUMH1alTJ5WUlKQuXbqkWzuupbq2TZw4UbVu3VpFRUWpqKgo1bVr\n1+se62xutH0bN25UBoNBRUZGWretW7dOt3ZUpTb//a4wmUxO+bSVUrVr365du1RsbKwKDQ1ViYmJ\n6uzZs7q04Xpq0z5nv7YoVX375s6dq8LCwlRYWJjq2rWr2rRp03WPrYoMEhRCCGEzp+zzEEII4dwk\neQghhLCZJA8hhBA2k+QhhBDCZpI8hBBC2EyShxBCCJtJ8hBCCGEzSR7CZfXs2bPKbcePH6dJkybE\nxMQQExPDnXfeyTvvvHPNfd9++218fHx4+OGHHRWqzQYNGkRBQQEXLlxgyZIl1s+PHj1KVFSU080J\nJlyPDBIUDdLx48cZMmQImZmZAJw8eZJhw4YxdepU/vSnP1Xa95133mHnzp3W2Udry2Kx2G1W3d+3\n44rmzZtz8eJFu3yHENcilYdwWd7e3jXet02bNixatKjKBPHbv7Hefvtthg0bRr9+/ejQoQNPPfWU\nddsbb7xBZGQkRqORCRMmUF5ebo3lL3/5C7GxsWzbtq3SuePj462r1Z05c4b27dtbv2fEiBEMHjyY\n22+/nWnTplmPCQoKIj8/n7/+9a8cOXKE6OhonnzyyRq3V4ja8tA7ACEcxdYp7KOjozlw4ECN9k1L\nS+PAgQN4eXkRGxvL4MGDadq0KatWrSI9PR13d3emTp3K22+/zaRJkyguLqZnz54sWLDgmnFWFevu\n3bvJzMzE3d2dTp06MW3aNIKCgqzHzJs3j3379pGRkWFTW4WoLUkeQvzKlju499xzj3WVvHvvvZdN\nmzbh5uZGRkYGsbGxAFy6dAkfHx8A3N3db2iK+b59+9K0aVMAjEYjZrOZoKCgG4pZCHuS5CHErzIy\nMujSpUu1+/2+SlBKYTAYUEoxceJEnn322auO8fLyqrK6cHNzw2KxAFBSUlJpm6enp/W1u7u7dT8h\n9CZ9HkKgdZhPnz6dxx9/vNp9lVL85z//oaCggMuXL7Nq1Sp69epFQkICn3zyCefOnQOgoKCgRssE\nBwQEsGPHDgC+/PJLm+Ju0qQJxcXFNh0jhD1I5SFcVnV9HkeOHCEmJgalFJ6enkydOrVGK/sZDAa6\ndevGyJEjOXbsGElJSdx5550AzJw5k7i4ODw8PHBzc+O1114jICDgurHMmDGDkSNH8uabbzJgwADr\nvtfrC7nCz8+PqKgoQkNDGTJkCPPmzas2fiHsQR7VFaIa77zzDjt27ODVV18FtKegdu7caX3vjORR\nXeFocttKiGo0adKEdevWWQcJ1qQi0MuVQYK33nqr3qEIFyeVh3BpmZmZV92K8vLyYsuWLTpFJIRr\nkOQhhBDCZnLbSgghhM0keQghhLCZJA8hhBA2k+QhhBDCZpI8hBBC2Oz/A7Fpp7L/E1W7AAAAAElF\nTkSuQmCC\n",
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0hYVFTV1dXffq6mpLAKitrTU/fvx4qLe3d8bTFpIYv+qGajx4+AAA0M+6Hz4f\n9/nfzg8ezC71HhzM/vz11+zKvYSQp9PiPI8XXnjhJysrq6q5c+fuYRiGt2/fvtmVlZU9fvrppxda\nenhiYuLEpUuXrlepVPyFCxduW7FixaebN2+OBoDo6OjNFy5cGPbyyy/v5PF4jJeX1x/btm1b2KNH\nj8r8/HzniIiIQwCgVCpN58yZs3fFihWf/i1wmudBGvnkzCfo1b0XogOiW7w2O5udF/LwITu5UCxu\nhwAJMRDtNklw4MCBmZmZmQNbeq+9UfIgjSf4MY12+msNtRrYsQNYsYJd5uTDD4Hu3fUVKSGGo90m\nCfr7+6dduHBhmOb1xYsXhw4ePPhKWz+YkLZgGAYjd45EXnkeAGiVOADAxITtA8nIAG7fZicXHj+u\nj0gJMU4t1jw8PDyy/vzzzwFOTk4yHo/H3L59+xl3d/dsU1NTJY/HY65fv+7TTrH+DdU8SHFNsc4W\nNUxMBF57jV2598svAXt7nTyWEIPTbs1WUqlU9KTzIpFI2tYgngYlj86noKIAn5//HBsnbtS6ptEa\ntbXA6tXA9u3ARx+x/SImtF0aMTK0MCIlj05HoVLgRN4JTHSbqNfPychgayFKJbv1ra+vXj+OkHZF\nyYOSR6eQeicVcpUcw52Gt+vnajrUP/gAmD2brZE8zZ4hhBga2sOcdAqldaWP5m+0J02H+h9/ABUV\nwMCBwE8/AfT7CiEsqnkQg/PH/T/g2cvToJZLT04GXn8d6NMH+OYbwMOD64gIeTpU8yBGK+Z0DHIe\n5HAdxt8EBwNpacDzzwMjRrDzQ2prW76PEGNFNQ9iEOoUdegu6Biz9O7eBd55BzhzBvjqK2DaNFps\nkXQcVPMgRuN25W0E7wiGmlFzHUqrODgAe/YA338PrFwJTJgAZGVxHRUh7YtqHsQg1MhrYNHFgusw\ntKZQABs3Ap98Arz8MrvMiZUV11ER0jyqeZAObe/1vfji3BePXnfExAEAAgHw9tvAjRvAgwdsR/qu\nXexQX0KMGdU8CCfuVt8FwG4La0xSUoAlSwA+nx2VFRDAdUSE/B3VPEiHsyZ5DYprigGwScPYEgcA\nBAYCFy+yS5tMnszOFSku5joqQnSPkgdpNyJrEUx4xv9XzsQEWLCA7US3tQW8vNjdDBsauI6MEN3R\n67/kpKSkCR4eHllubm45sbGx7zU9X15ebhMREXFILBZfCwoKunTjxo1Brb2XGL56ZT0ScxIfvZ7t\nPRu9zXsa1XhuAAAbz0lEQVRzGFH76tED+OIL4MIF9hg4EDh0iGapEyPBMIxeDqVSyXdxccnNz88X\nyeVygVgsvpqZmenZ+Jrly5d/sXr16v9lGAZZWVnuY8aMOdHae9nQiSG7X3OfWXRkEaNSq7gOxSCc\nOMEwXl4MM2oUw1y9ynU0pLP667uzzd/xeqt5pKSkBLq6uuaKRCKpQCBQzJo1a398fPyUxtfcvHnT\nc9SoUacAwN3dPVsqlYru37/fuzX3EsNUr6zH/dr7AAA7cztsnby1UzRVtcaYMUB6OvDii8D48cCi\nReyEQ0I6IlN9PbioqMjRyclJpnktFAoLL126FNT4GrFYfO3gwYPTRowYcTYlJSWwoKCgX2FhobA1\n9wLAqlWrHv0cEhKCkJAQvZSFtN729O2orK/EiuAVXIdikExNgVdfBWbNAtasYftDli4Fli2jbXCJ\nfkgkEkgkEp0/V2/Jg8fjtdiy+/7773/21ltvbfDz80v39vbO8PPzS+fz+arW3Av8PXkQ7ijVSpia\nsH+VXg14lWoarWBtDXz+ObtvyIoVgLs7O9Fw7lzagIroVtNfrGNiYnTyXL39NXV0dCySyWROmtcy\nmcxJKBQWNr7G0tKyevv27VHp6el+u3fvnldSUmLn4uJyqzX3EsMxYc8EZNzLAABKHFpydgb27wd+\n/BH49ltgyBDg1CmuoyKkFXTRcfK4Q6FQmPbv3/9Wfn6+qKGhocvjOr0rKip6NDQ0dGEYBlu2bFk8\nf/78na29F9RhbjDu19znOgSjoFYzzP79DOPszDBhYQyTkcF1RMQYwdA7zE1NTZUbN25cMn78+GMD\nBw7MnDlzZpynp+fNzZs3R2/evDkaADIzMwd6e3tneHh4ZB07dmz8hg0b3nrSvfqKlWinsKoQs3+e\n/WghQztzO44jMg48HjBzJnDzJhAaynawL1wIFBVxHRkh/42WJyFaUzNqnLt9DsH9grkOxahVVrKT\nCzdvZjvZ332XnTtCSFvQ8iSkXUmkEiTlJgFg+zUocehfjx7siKxr19ghvQMGAOvX00x1YhgoeZBW\n6crviq78rlyH0SkJhcD27cCJE8DJk+zIrF27AJWK68hIZ0bNVqRZx3KPYZTzKHThd+E6FNLI2bPA\n++8DFRVszWTyZNrJkLQeNVsRvWIYBr/k/AJZpazli0m7GjECSE4GPvsM+Oc/2f3Vk5O5jop0NlTz\nII8wDIPblbfRz7of16GQVlKpgL172e1wPTyAjz8GBg/mOipiyKjmQXTuVvktLIhfAErKHQefD8yb\nB2Rns81X4eHAjBlAZibXkRFjRzWPTo5hGCjUikf9GgzDgEcN6B1WXR3w73+zS8FPnMjWSPr35zoq\nYkio5kF04vNzn2PDxQ2PXlPi6Ni6dwfeeQfIzWWXPgkMZOeIyKjriugY1Tw6ueqGapgJzB4tbEiM\nS1kZsHYtsGULEBnJLsLo6Mh1VIRLVPMgT4VhGEzZP+XRKCrLrpaUOIxYz57Ap5+yS5506wZ4e7NL\nwNO+6qStKHl0MjweDytHroSjFf362Zn07s3WQG7cYF8PHAgsXw7cu8dtXKTjouTRCeSV5+HT5E8f\nvfZ38Kel0zspBwd2iZOMDHaZE09PdiMqqokQbdE3SCfQq3sviKxFT7xm9OjROH78+N/eW79+PV5/\n/XU9Rka44ugIfPMNm0QUCrYm8vbbtC0uaT1KHkbq7O2zuFnCrmJv1dUKkd6RT7w+MjIS+/fv/9t7\ncXFxmD17tt5iJNxzdAS+/hr44w+AYYBBg4C33gLu3OE6MmLoKHkYqYKKAhTXtL4tYvr06fj111+h\nVCoBAFKpFHfu3MG+ffswZMgQeHl50ba/RqxvX7Y568YNduKhlxfw+uuAVMp1ZMRQUfIwIql3Uh/9\nPMdnDkY5j2r1vba2tggMDERCQgIAYP/+/Zg5cybWrFmDy5cv49q1azh9+jQyMjJ0HjcxHA4OwJdf\nAllZ7JLwgwcDUVFATg7XkRFDo9fkkZSUNMHDwyPLzc0tJzY29r2m50tLS3tNmDAhydfX96qXl9cf\nO3fufFlzTiQSSX18fK77+fmlBwYGpugzTmOgUCmwUrISZXVlT/2Mxk1XcXFxj14PHjwY/v7+uHHj\nBjJp3YtOoXdvdohvbi4gEgHDhwOzZ7PNW4QA0N8e5kqlku/i4pKbn58vksvlgsftQ75y5cpV77//\n/qcMw6CkpKSXra1tmUKhMGUYBiKRKL+srMy2ueeD9jBn1Go1U1JborPnVVdXM71792bS0tKYAQMG\nMPn5+YyrqytTUVHBMAzDvPzyy8zOnTt19nmk46iqYpjYWIaxt2eYKVMY5uJFriMiTwuGvod5SkpK\noKura65IJJIKBALFrFmz9sfHx09pfI2Dg8PdqqoqKwCoqqqy6tmzZ5mpqamyUWKjtTKe4GT+SbyZ\n+KbOnmdhYYFRo0ZhwYIFmD17NqqqqmBubg4rKyvcu3cPiYmJtHxJJ2VpyW6Dm58PjBvH7rU+ejTw\n229sRzvpfPQ2tbioqMjRycnp0Yo6QqGw8NKlS0GNr1m8ePHW0aNHn+zbt++d6upqyx9//PFFzTke\nj8eMHTv2BJ/PV0VHR29evHjx1qaf0bgDNyQkBCEhIXopiyFRqVUw4ZmAx+NhtPNojBSN1OnzIyMj\nMW3aNPz4448YMGAA/Pz84OHhAScnJ4wYMUKnn0U6HjMz4B//AF55BfjhB3Zklrk5u+zJ1KmACfWi\nGhyJRAKJRKL7B+ui+vK448CBA9MXLVq0VfP6+++/n7tkyZJvGl/z0Ucf/eutt95azzAMcnNzXZyd\nnfOqqqosGYbBnTt3HBiGwf379+3EYvHVM2fOBDe+F5202WrxkcVMfFY812EQwjAMw6hUDHPoEMME\nBjKMuzvDfPcdw9TXcx0VeRIYerOVo6NjkUwmc9K8lslkTkKhsLDxNefPnx/+wgsv/AQALi4ut5yd\nnfOzs7PdAbZJCwDs7OxKIiIiDqWkpATqK9aO5JPRn2DSgElch0EIALamMXUqcPEi8O23wIED7BLw\nn38OVFZyHR3RJ70lj4CAgNScnBw3qVQqksvlXeLi4maGh4cfaXyNh4dH1okTJ8YCwL179+yzs7Pd\n+/fvn1dXV9e9urraEgBqa2vNjx8/Hurt7d0px4hWNVQhbG8Y6pX1AAA7cztaWoQYHB4PGDUKSEwE\nEhKA69fZJPLuu0BREdfREX3QW5+HqampcuPGjUvGjx9/TKVS8RcuXLjN09Pz5ubNm6MBIDo6evMH\nH3ywZsGCBTvEYvE1tVpt8vnnn79ra2v7IC8vr/+0adMOAoBSqTSdM2fO3tDQ0ONP/kTjZNXVCqtC\nVqGbaTeuQyGkVcRiYM8eoKAA+OordiXfKVPYNbS8vLiOjugK7edhgM4UnEHug1xE+UVxHQohbfbg\nAbBpE7uWlljMJpGxY9naCml/utrPg5KHAcopy0FxTTGC+wVzHQohOtPQAOzbxy4Nb2rKJpFZs4Au\nXbiOrHOh5GFkyWN7+nZEeETAxsyG61AI0SuGAY4dY5PIzZvs0N/oaHbjKqJ/tJOgkamR16CygYan\nEOPH4wETJgAnTrCd6zk5gKs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"text": [
- "<matplotlib.figure.Figure at 0x31d4f90>"
+ "<matplotlib.figure.Figure at 0x27d0450>"
]
}
],
- "prompt_number": 14
+ "prompt_number": 6
}
],
"metadata": {}