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author | hardythe1 | 2015-04-07 15:58:05 +0530 |
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committer | hardythe1 | 2015-04-07 15:58:05 +0530 |
commit | c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131 (patch) | |
tree | 725a7d43dc1687edf95bc36d39bebc3000f1de8f /Fluid_Mechanics/Chapter_23.ipynb | |
parent | 62aa228e2519ac7b7f1aef53001f2f2e988a6eb1 (diff) | |
download | Python-Textbook-Companions-c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131.tar.gz Python-Textbook-Companions-c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131.tar.bz2 Python-Textbook-Companions-c7fe425ef3c5e8804f2f5de3d8fffedf5e2f1131.zip |
added books
Diffstat (limited to 'Fluid_Mechanics/Chapter_23.ipynb')
-rwxr-xr-x | Fluid_Mechanics/Chapter_23.ipynb | 25 |
1 files changed, 5 insertions, 20 deletions
diff --git a/Fluid_Mechanics/Chapter_23.ipynb b/Fluid_Mechanics/Chapter_23.ipynb index 0ef6bc1d..8cb510fa 100755 --- a/Fluid_Mechanics/Chapter_23.ipynb +++ b/Fluid_Mechanics/Chapter_23.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:109f899855f47f57b7b8d73d8df4dd5290683ba03d6e02690f896cfaa5c8d9e2" + "signature": "sha256:ef9e21b794b8d045cd677d625f05028772e4370ff57190a11a0021b5fe3769e2" }, "nbformat": 3, "nbformat_minor": 0, @@ -31,7 +31,7 @@ "from __future__ import division\n", "import math\n", "from pylab import *\n", - "%pylab inline\n", + "%matplotlib inline\n", "\n", " #Initializing the variables\n", "Q = []\n", @@ -65,30 +65,15 @@ "metadata": {}, "outputs": [ { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "WARNING: pylab import has clobbered these variables: ['linalg', 'draw_if_interactive', 'random', 'power', 'info', 'fft']\n", - "`%pylab --no-import-all` prevents importing * from pylab and numpy\n" - ] - }, - { "metadata": {}, "output_type": "display_data", - "png": 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AiBHsamsHh5IPYdHZRTg4/SDG9BrDthwOBiiuKob9r/bYO3WvzDxjzgmIab+wSvQODg7N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\nRHiWAAAAAElFTkSuQmCC\n", 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PtMI0uuXIHQ6Hg23btsHZ2RnGxsaYPn06amtrMW7cOEyZMgX6+vrQ09PD4sWL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\nDx8fnwgLC4s8HR2dWkA0Zp+YmNiXMlEU5A5ae2k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