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-rwxr-xr-xELECTRIC_MACHINERY/chapter6.ipynb26
1 files changed, 10 insertions, 16 deletions
diff --git a/ELECTRIC_MACHINERY/chapter6.ipynb b/ELECTRIC_MACHINERY/chapter6.ipynb
index 7cd637cd..1e8c7e97 100755
--- a/ELECTRIC_MACHINERY/chapter6.ipynb
+++ b/ELECTRIC_MACHINERY/chapter6.ipynb
@@ -1,6 +1,7 @@
{
"metadata": {
- "name": ""
+ "name": "",
+ "signature": "sha256:543f6585f8a1e6c2c290bd192837a35d6ff750409ce379696635948315dd7dcf"
},
"nbformat": 3,
"nbformat_minor": 0,
@@ -235,9 +236,11 @@
"collapsed": false,
"input": [
"from __future__ import division\n",
- "%pylab inline\n",
+ "%matplotlib inline\n",
"import cmath\n",
"from math import *\n",
+ "from matplotlib import *\n",
+ "from pylab import *\n",
"\n",
"#Variable declaration:\n",
"V=230 #line to line voltage(V)\n",
@@ -296,36 +299,27 @@
"output_type": "stream",
"stream": "stdout",
"text": [
- "Populating the interactive namespace from numpy and matplotlib\n",
"Hence, the required plot is shown below:\n"
]
},
{
- "output_type": "stream",
- "stream": "stderr",
- "text": [
- "WARNING: pylab import has clobbered these variables: ['f']\n",
- "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
- ]
- },
- {
"metadata": {},
"output_type": "display_data",
- "png": 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aqp5++mns3bsXTz/9tLKupKQEM2bMgKOjI5ydnfHHH3/g7bffrvH9tf2t48aNw6uvvgpH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\nTA7Z2fKk7+V1a+ncGRgy5NZ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0yrdlC1tnsXVr7c9R9HwWKquzSE5OdrSwsMiZOXPmgTt37nTp1q3b39u2bVss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\n0qktCAAAAABJRU5ErkJggg==\n",
"text": [
- "<matplotlib.figure.Figure at 0x1dff550>"
+ "<matplotlib.figure.Figure at 0x32859d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
- "png": 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g50ery44bx7GQ9eD0aeC776hvg8vVEFMaDKkjJgSRJSU4k5eHM3l5iC8rQ39j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\n6q73qHmKEEIGuScdHbHM2Rkzs7Jwu7W164KjRvHtYVesALT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ZxwPatQM2bwZGjpStLABTFgxQ18wX1dW4VVKCW6WlCCspQblAgF5/KY8+urrw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\nQmCC\n",
"text": [
- "<matplotlib.figure.Figure at 0x2c9aad0>"
+ "<matplotlib.figure.Figure at 0x34979d0>"
]
}
],
- "prompt_number": 5
+ "prompt_number": 2
},
{
"cell_type": "heading",