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| author | Trupti Kini | 2016-03-11 23:30:11 +0600 |
|---|---|---|
| committer | Trupti Kini | 2016-03-11 23:30:11 +0600 |
| commit | 2be8c9a4fe3e8680634083e03085ec4133f22e12 (patch) | |
| tree | 87f273631fb46ee30a9f2258a2fcb6a87dbb050d /sample_notebooks/KhushbuPattani/chapter1_1.ipynb | |
| parent | 8b45c91b0d1cc1bf93d8653912e7068004eda3eb (diff) | |
| download | Python-Textbook-Companions-2be8c9a4fe3e8680634083e03085ec4133f22e12.tar.gz Python-Textbook-Companions-2be8c9a4fe3e8680634083e03085ec4133f22e12.tar.bz2 Python-Textbook-Companions-2be8c9a4fe3e8680634083e03085ec4133f22e12.zip | |
Added(A)/Deleted(D) following books
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch15.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch16.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch17.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch18.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch19.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch20.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch21.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch22.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch23.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch24.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch25.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch26.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch27.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch28.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch29.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/Ch30.ipynb
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/screenshots/1RefractionOfLaserLight.png
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/screenshots/2PropertiesOfImage.png
A College_Physics_(volume_2)_by_R._A._Serway_and_J._S._Faughn/screenshots/3PositionOf1DarkFringe.png
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/Chapter9_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter1_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter2_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter3_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter4_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter6_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter7_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter8_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/chapter_5_7.ipynb
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/screenshots/1.2_2.png
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/screenshots/3.7_2.png
A Introductory_Methods_Of_Numerical_Analysis__by_S._S._Sastry/screenshots/6.7_2.png
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch11.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch12.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch13.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch14.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch3.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch4.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch5.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch6.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch7.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch8.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/Ch9.ipynb
A Linear_Integrated_Circuit_by_M._S._Sivakumar/screenshots/BiasingVoltage.png
A Linear_Integrated_Circuit_by_M._S._Sivakumar/screenshots/InOutCrrnt.png
A Linear_Integrated_Circuit_by_M._S._Sivakumar/screenshots/inAndOutCurrnt.png
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/Chapter10.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/Chapter28.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/Chapter29.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter1.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter11.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter12.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter13.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter14.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter15.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter16.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter17.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter18.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter19.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter2.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter20.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter21.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter22.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter23.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter24.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter25.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter26.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter27.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter3.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter4.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter5.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter6.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter7.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter8.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/chapter9.ipynb
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/screenshots/image_1.png
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/screenshots/image_2.png
A principle_of_physics_by_V.K.MEHTA_,_ROHIT_MEHTA_/screenshots/image_3.png
A sample_notebooks/KhushbuPattani/chapter1_1.ipynb
Diffstat (limited to 'sample_notebooks/KhushbuPattani/chapter1_1.ipynb')
| -rw-r--r-- | sample_notebooks/KhushbuPattani/chapter1_1.ipynb | 739 |
1 files changed, 739 insertions, 0 deletions
diff --git a/sample_notebooks/KhushbuPattani/chapter1_1.ipynb b/sample_notebooks/KhushbuPattani/chapter1_1.ipynb new file mode 100644 index 00000000..37ff8325 --- /dev/null +++ b/sample_notebooks/KhushbuPattani/chapter1_1.ipynb @@ -0,0 +1,739 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Chapter 1: Solution of Equation & Curve Fitting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.1, page no. 21" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [-3. 2. 0.5]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly([0])\n", + "p = 2*(x^3)+x^2-13*x+6\n", + "print \"The roots of above equation are: \", numpy.roots([2,1,-13,6])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.2, page no. 21" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of the equation are: [ 2.00000000+2.64575131j 2.00000000-2.64575131j -2.66666667+0.j ]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly([0])\n", + "p =3*( x ^3) -4*( x ^2) + x +88\n", + "\n", + "print \"The roots of the equation are: \", numpy.roots ([3, -4, 1, 88])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Example 1.3, page no. 22" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 6. 3. -2.]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly([0])\n", + "p = x^3-7*(x^2)+36\n", + "print \"The roots of above equation are:\", numpy.roots([1, -7, 0, 36])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.4, page no. 23" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 5. -4. 2. -1.]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^4 -2*( x ^3) -21*( x ^2) +22* x +40\n", + "print \"The roots of above equation are:\", numpy.roots([1,-2,-21,22,40])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.5, page no. 23" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 4. 2. 1. 0.5]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = 2*( x ^4) -15*( x ^3) +35*( x ^2) -30* x +8\n", + "print \"The roots of above equation are:\", numpy.roots([2,-15,35,-30,8])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.6, page no. 24" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 2.87938524 0.65270364 -0.53208889]\n", + "let x1 = 0.6527036 x2 = -0.5320889 x3 = 2.8793852\n", + "So the equation whose roots are cube of the roots of above equation is (x−x1ˆ3)∗(x−x2ˆ3)∗(x−x3ˆ3)\n", + "(x - 23.8725770741465)*(x - 0.278066086195109)*(x + 0.150644263115026)\n" + ] + } + ], + "source": [ + "import numpy\n", + "import sympy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^3 -3*( x ^2) +1\n", + "ans = numpy.roots([1,-3, 0, 1])\n", + "print \"The roots of above equation are:\", ans\n", + "x = sympy.Symbol('x')\n", + "print \"let x1 = 0.6527036 x2 = -0.5320889 x3 = 2.8793852\"\n", + "print \"So the equation whose roots are cube of the roots of above equation is (x−x1ˆ3)∗(x−x2ˆ3)∗(x−x3ˆ3)\"\n", + "p1 = (x-x1**3)*(x-x2**3)*(x-x3**3)\n", + "print p1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.7, page no. 25" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are:\n", + "[ 4.48928857 2.28916855 -0.77845712]\n", + "let x1 = -0.7784571 x2 = 2.2891685 x3 = 4.4892886\n", + "Now, since we want equation whose sum of roots is 0. sum of roots of above equation is 6, so we will decrease\n", + "Value of each root by 2 i.e. x4 = x1-2\n", + "x4 = -2.7784571\n", + "x5 = 0.2891685\n", + "x6 = 2.4892886\n", + "Hence, the required equation is ( x−x4 ) ∗ ( x−x5 ) ∗ ( x−x6 ) = 0 −−>\n", + "(x - 2.4892886)*(x - 0.2891685)*(x + 2.7784571)\n" + ] + } + ], + "source": [ + "import numpy\n", + "import sympy\n", + "\n", + "x = numpy.poly ([0]) \n", + "x1 = numpy.poly ([0]) \n", + "x2 = numpy.poly ([0]) \n", + "x3 = numpy.poly ([0]) \n", + "x4 = numpy.poly ([0]) \n", + "x5 = numpy.poly ([0] ) \n", + "x6 = numpy.poly ([0]) \n", + "p = x ^3 -6*( x ^2) +5* x +8\n", + "print \"The roots of above equation are:\"\n", + "print numpy.roots ([1, -6, 5, 8])\n", + "print \"let x1 = -0.7784571 x2 = 2.2891685 x3 = 4.4892886\"\n", + "x1 = -0.7784571\n", + "x2 = 2.2891685\n", + "x3 = 4.4892886\n", + "print \"Now, since we want equation whose sum of roots is 0. sum of roots of above equation is 6, so we will decrease\"\n", + "print \"Value of each root by 2 i.e. x4 = x1-2\"\n", + "x = sympy.Symbol('x')\n", + "x4 = x1-2\n", + "print \"x4 = \", x4\n", + "x5=x2-2\n", + "print \"x5 = \", x5\n", + "x6=x3-2\n", + "print \"x6 = \", x6\n", + "print \"Hence, the required equation is ( x−x4 ) ∗ ( x−x5 ) ∗ ( x−x6 ) = 0 −−>\"\n", + "p1 =( x-x4 )*(x-x5)*(x-x6)\n", + "print p1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.8, page no. 28" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 3. 2. 1. 0.5 0.33333333]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = 6*( x ^5) -41*( x ^4) +97*( x ^3) -97*( x ^2) +41* x -6\n", + "print \"The roots of above equation are:\",numpy.roots([6,-41,97,-97,41,-6])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.9, page no. 28" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 2.00000000+0.j -1.00000000+0.j 0.83333333+0.5527708j\n", + " 0.83333333-0.5527708j 1.00000000+0.j 0.50000000+0.j ]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly([0]) \n", + "p = 6*(x^6)-25*(x^5)+31*(x^4)-31*(x^2)+25*x-6\n", + "print \"The roots of above equation are:\", numpy.roots([6,-25,31,0,-31,25,-6])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.10, page no. 29" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 2.+3.46410162j 2.-3.46410162j -1.+0.j ]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^3 -3*( x ^2) +12* x +16\n", + "print \"The roots of above equation are:\", numpy.roots([1,-3,12,16])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.11, page no. 30" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 0.28571429+0.24743583j 0.28571429-0.24743583j -0.25000000+0.j ]\n" + ] + } + ], + "source": [ + "import numpy\n", + "x = numpy.poly ([0]) \n", + "p = 28*( x ^3) -9*( x ^2) +1\n", + "print \"The roots of above equation are:\",numpy.roots([28,-9,0,1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.12, page no. 31" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [-5. +0.00000000e+00j 2. +2.90013456e-08j 2. -2.90013456e-08j]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^3+ x ^2 -16* x +20\n", + "print \"The roots of above equation are:\",numpy.roots ([1,1,-16,20])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.13, page no. 31" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 1.08727971+1.17131211j 1.08727971-1.17131211j -1.17455941+0.j ]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^3 -3*( x ^2) +3\n", + "print \"The roots of above equation are:\",numpy.roots ([1,-1,0,3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.14, page no. 33" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 6. 4. 3. -1.]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^4 -12*( x ^3) +41*( x ^2) -18* x -72\n", + "print \"The roots of above equation are:\",numpy.roots ([1,-12,41,-18,-72])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.15, page no. 34" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [-2.30277564 2.61803399 1.30277564 0.38196601]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^4 -2*( x ^3) -5*( x ^2) +10* x -3\n", + "print \"The roots of above equation are:\", numpy.roots ([1,-2,-5,10,-3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.16, page no. 35" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 3.73205081+0.j -2.00000000+1.73205081j -2.00000000-1.73205081j\n", + " 0.26794919+0.j ]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^4 -8*( x ^2) -24* x +7\n", + "print \"The roots of above equation are:\",numpy.roots ([1,0,-8,-24,7])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.17, page no. 35" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "The roots of above equation are: [ 6.05932014 -1.65491082 1.59559067]\n" + ] + } + ], + "source": [ + "import numpy\n", + "\n", + "x = numpy.poly ([0]) \n", + "p = x ^4 -6*( x ^3) -3*( x ^2) +22* x -6\n", + "print \"The roots of above equation are:\",numpy.roots ([1,-6,-3,22.-6])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.18, page no. 37" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "From the graph, it is clear that the point of intersection is nearly x = 1.43\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x7fa769850290>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import numpy\n", + "import math\n", + "\n", + "x = numpy.linspace(1 ,3 ,30)\n", + "y1 = 3-x\n", + "y2 = math.e**(x-1)\n", + "plt.xlabel('X axis')\n", + "plt.ylabel('Y axis')\n", + "plt.title('My Graph')\n", + "plt.plot(x, y1, \"o-\" )\n", + "plt.plot(x, y2, \"+-\" )\n", + "plt.legend([\"3-x\" ,\"e**(x-1)\"])\n", + "print \"From the graph, it is clear that the point of intersection is nearly x = 1.43\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.19, page no. 40" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "From the graph, it is clear that the point of intersection is nearly x=2.3\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "<matplotlib.figure.Figure at 0x7fa7698ce210>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import numpy\n", + "import math\n", + "\n", + "x = numpy.linspace(1 ,3 ,30)\n", + "y1 = x\n", + "y2 = numpy.sin(x)+math.pi/2\n", + "plt.xlabel('X axis')\n", + "plt.ylabel('Y axis')\n", + "plt.title('My Graph')\n", + "plt.plot(x, y1, \"o-\")\n", + "plt.plot(x, y2, \"+-\")\n", + "plt.legend([\"x\", \"sin(x)+pi/2\"])\n", + "print \"From the graph, it is clear that the point of intersection is nearly x=2.3\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Example 1.20, page no. 41" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "From the graph, it is clear that the point of intersection is nearly x=2.3 \n" + ] + }, + { + "data": { + "image/png": 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vVn3zTdUlS1SXLlVdtkz13HP9lx84cLquXKm6apXq6tWqH3+sOniw/7IXXjhd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\nMcYEZIHCGGNMQP8fXmj88edlNkgAAAAASUVORK5CYII=\n", + "text/plain": [ + "<matplotlib.figure.Figure at 0x7fa7696dc7d0>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import numpy\n", + "import math\n", + "\n", + "x = numpy.linspace(0, 3, 30)\n", + "y1 = -1/numpy.cos(x)\n", + "y2 = numpy.cosh(x)\n", + "plt.xlabel('X axis')\n", + "plt.ylabel('Y axis')\n", + "plt.title('My Graph')\n", + "plt.plot(x, y1, \"o-\" )\n", + "plt.plot(x, y2, \"+-\" )\n", + "plt.legend ([\"-sec(x)\", \"cosh(x)\"])\n", + "print \"From the graph, it is clear that the point of intersection is nearly x=2.3 \"" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} |