Matplotlib

H
{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"Matplotlib.ipynb","version":"0.3.2","provenance":[],"collapsed_sections":[]},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"code","metadata":{"id":"-Dt89CgfQmZH","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":34},"outputId":"0fe03950-9d13-48a6-8301-677feaa3f070","executionInfo":{"status":"ok","timestamp":1567684478212,"user_tz":-330,"elapsed":1095,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["import matplotlib as mat\n","print(mat.__version__)"],"execution_count":1,"outputs":[{"output_type":"stream","text":["3.0.3\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"id":"MxIcEm_DRqbF","colab_type":"code","colab":{}},"source":["import numpy as np\n","import matplotlib \n","import matplotlib.pyplot as plt\n","from mpl_toolkits.mplot3d import Axes3D\n","\n"],"execution_count":0,"outputs":[]},{"cell_type":"code","metadata":{"id":"Pwbzsj8QSf0i","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":408},"outputId":"b608ff3b-9826-4d06-83fe-d34c63304ec1","executionInfo":{"status":"ok","timestamp":1567685029764,"user_tz":-330,"elapsed":1329,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["x = np.linspace(0,5,10)\n","# x = np.sin(x);\n","y = x**2\n","\n","\n","\n","plt.figure(figsize= (8,6))\n","\n","plt.plot(x,y,'g')\n","plt.xlabel(\"x axis\")\n","plt.ylabel(\"y axis\")\n","\n","plt.title(r\"plot of $y = X^2$\")\n","plt.show()"],"execution_count":7,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAfIAAAGHCAYAAABLftCiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wGGeINN9r0EuQAAAABJRU5ErkJggg==\n","text/plain":["<Figure size 576x432 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"5fi223-oTVPQ","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":269},"outputId":"bd82f37a-c452-48de-a18d-b38358a6527c","executionInfo":{"status":"ok","timestamp":1567685121867,"user_tz":-330,"elapsed":1294,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["x = np.linspace(-np.pi , np.pi ,256, endpoint = True)\n","c ,s = np.cos(x) , np.sin(x)\n","plt.plot(x,c)\n","plt.plot(x,s)\n","\n","plt.show()"],"execution_count":8,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAYYAAAD8CAYAAABzTgP2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVyKywdqne0H6wq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2O4/qy98I78dD7Hhj5ikNPJSIbrH26F1T7fio1p5q1+QgHjhcwYYhe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\nJKkwDJKkwjBIkgrDIEkqPtFSxSesw8evAAAAAElFTkSuQmCC\n","text/plain":["<Figure size 432x288 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"hf-tBJodTzjy","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":519},"outputId":"f2055363-6af0-420e-a750-14bdff9d42c1","executionInfo":{"status":"ok","timestamp":1567685830874,"user_tz":-330,"elapsed":1817,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["plt.figure(figsize= (8,6) , dpi = 100)\n","plt.subplot(111)\n","plt.plot(x,c, color = \"purple\" , linewidth = 1.0 ,linestyle = \"-\")\n","\n","plt.plot(x,s, color = \"green\" , linewidth = 1.0 ,linestyle = \"-\")\n","\n","plt.xlim(-4.0,+4.0)\n","plt.ylim(-1.0,+1.0)\n","plt.grid(True)\n","\n","plt.savefig(\"./sine.pdf\" , format= \"pdf\", dpi = 72)\n","plt.show()"],"execution_count":12,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAArgAAAH2CAYAAACbev+uAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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Qxp6vfPr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5mr0uP7aY1c7fZgtQF6Ne0H9zs3XT9fdDyveZayxUNH2qIlJ9SEDpKP7ON8Ofzf/Vr0g+u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\nV7TAVUoppZRSfuX/AMkflo+r2Lq9AAAAAElFTkSuQmCC\n","text/plain":["<Figure size 800x600 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"WnU8sMfqWM1X","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":517},"outputId":"07e75e04-9bbc-4556-bf90-1ef1481dc297","executionInfo":{"status":"ok","timestamp":1567686186468,"user_tz":-330,"elapsed":1798,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["plt.figure(figsize= (8,6) , dpi = 100)\n","plt.subplot(111)\n","plt.plot(x,c, color = \"purple\" , linewidth = 1.0 ,linestyle = \"-\")\n","\n","plt.plot(x,s, color = \"green\" , linewidth = 1.0 ,linestyle = \"-\")\n","\n","plt.xlim(x.min()*1.1 , x.max()*1.1)\n","plt.ylim(c.min()*1.1 , c.max()*1.1)\n","plt.grid(True)\n","\n","plt.savefig(\"./sine.pdf\" , format= \"pdf\", dpi = 72)\n","plt.show()"],"execution_count":15,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAArcAAAH0CAYAAAAnuQUoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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Jepfz/2w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V6K6WOKqWSlFJRSqmgu2zbQym1QSl1+cbXqlu3V0p9pZTSt3z9bv93IoRzOLf7HH+v/JvQ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\n2OPksmDCdclw68JurXArJ8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y1KwpnVsIsMnMzGWYbZjpFCMtp/Vhr/Mr6YZ9sN50i3IgM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\nCQw1tyIiIiISGP8fcj27JTpq6iUAAAAASUVORK5CYII=\n","text/plain":["<Figure size 800x600 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"6ECw00CnX8b7","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":517},"outputId":"2d9e5dad-615b-4827-fb15-0ad816a5bca6","executionInfo":{"status":"ok","timestamp":1567686299858,"user_tz":-330,"elapsed":1769,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["plt.figure(figsize= (8,6) , dpi = 100)\n","plt.subplot(111)\n","plt.plot(x,c, color = \"purple\" , linewidth = 1.0 ,linestyle = \"-\")\n","\n","plt.plot(x,s, color = \"green\" , linewidth = 1.0 ,linestyle = \"-\")\n","\n","plt.xlim(x.min()*1.1 , x.max()*1.1)\n","plt.ylim(c.min()*1.1 , c.max()*1.1)\n","\n","plt.xticks([-np.pi , -np.pi/2,0,np.pi , np.pi/2])\n","plt.yticks([-1 , 0, +1])\n","plt.grid(True)\n","\n","plt.savefig(\"./sine.pdf\" , format= \"pdf\", dpi = 72)\n","plt.show()"],"execution_count":17,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAqEAAAH0CAYAAAANCfSHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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HdWRknVs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xCX0Lfhn3hbOOMBRELZKeQDiiKgvDAcLh2c0XJ6iVl55AKZOZkYnHUYgxoNABO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\nRK5CYII=\n","text/plain":["<Figure size 800x600 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"ltnXjJyHYkRT","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":518},"outputId":"fe8a4830-0d0c-47c7-ccd7-623dfaca68aa","executionInfo":{"status":"ok","timestamp":1567686761282,"user_tz":-330,"elapsed":1771,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["plt.figure(figsize= (8,6) , dpi = 100)\n","plt.subplot(111)\n","plt.plot(x,c, color = \"purple\" , linewidth = 1.0 ,linestyle = \"-\" , label = \"cosine\")\n","\n","plt.plot(x,s, color = \"green\" , linewidth = 1.0 ,linestyle = \"-\" , label = \"sine\")\n","\n","plt.xlim(x.min()*1.1 , x.max()*1.1)\n","plt.ylim(c.min()*1.1 , c.max()*1.1)\n","\n","plt.xticks([-np.pi , -np.pi/2,0,np.pi , np.pi/2] , [r'$-\\pi$',r'$-\\pi/2$',r'$0$',r'$+\\pi$',r'$+\\pi/2$'])\n","plt.yticks([-1 , 0, +1] , [r'$-1$',r'$0$',r'$+1$'])\n","plt.grid(True)\n","\n","plt.legend(loc = 'upper left' , frameon= True)\n","plt.savefig(\"./sine.pdf\" , format= \"pdf\", dpi = 72)\n","plt.show()"],"execution_count":19,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAqIAAAH1CAYAAAAtYpwhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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9bnvvryL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Ozw0DPgVgdtRrpOemic/QKf5MRyUjYkjBYlLGAx8ceolNIJhaFLkI1u2roUr2L6BSD0mBY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\nJBVhEJUkSVIRBlFJkiQV8V/U4APBzkmM+AAAAABJRU5ErkJggg==\n","text/plain":["<Figure size 800x600 with 1 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"DFGOHB9vaMIn","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":421},"outputId":"aab31f3d-051e-44bf-8be4-726167e94be5","executionInfo":{"status":"ok","timestamp":1567687858541,"user_tz":-330,"elapsed":1645,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["x = np.linspace(0,5,10)\n","y = x**2\n","\n","fig ,axes = plt.subplots(1,2,figsize= (8,4), dpi = 100)\n","axes[0].plot(x , x**2 , color = \"green\" , label = \"y = x**2\")\n","axes[0].plot(x , x**3 , color = \"green\" , label = 'y = x**3')\n","axes[0].set_xlabel('x')\n","axes[0].set_ylabel('y')\n","axes[0].set_title(\"plot of y = x^2 and y = x^3\")\n","\n","\n","axes[1].plot(x , x**2 , color = \"red\" , label = \"y = x**2\")\n","axes[1].plot(x , y**3 , color = \"red\" , label = 'y = x**3')\n","axes[1].set_xlabel('x')\n","axes[1].set_ylabel('y')\n","axes[1].set_title(\"plot of y = x^2 and y = x^3\")"],"execution_count":36,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'plot of y = x^2 and y = x^3')"]},"metadata":{"tags":[]},"execution_count":36},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAArsAAAGDCAYAAAArotjfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzl0UHkuUWVTKcVIo09TMGpYR3/VAQWTTtGMikpGU7IqIZKZE/fyyuw919y/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WYGGdfOBR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4PX55wTayiZKquSXTP7i5m5md0b2dfAzB40syVmttLMnjez5GUvRSS0ev1qrhwXLBpx7YHX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\nps7AwQcAAAAASUVORK5CYII=\n","text/plain":["<Figure size 800x400 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"1f_b1ot4e7lm","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":798},"outputId":"247fcdbe-898f-42b3-da12-2a7d5a3bde60","executionInfo":{"status":"ok","timestamp":1567688157071,"user_tz":-330,"elapsed":2368,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["#ploting 4 plots \n","\n","x = np.linspace(0,5,10)\n","y = x**2\n","\n","fig ,axes = plt.subplots(2,2,figsize= (11,9), dpi = 100)\n","axes[0,0].plot(x , x**2 , color = \"green\" , label = \"y = x**2\")\n","axes[0,0].plot(x , x**3 , color = \"green\" , label = 'y = x**3')\n","axes[0,0].set_xlabel('x')\n","axes[0,0].set_ylabel('y')\n","axes[0,0].set_title(\"plot of y = x^2 and y = x^3\")\n","\n","\n","axes[0,1].plot(x , x**2 , color = \"red\" , label = \"y = x**2\")\n","axes[0,1].plot(x , y**3 , color = \"red\" , label = 'y = x**3')\n","axes[0,1].set_xlabel('x')\n","axes[0,1].set_ylabel('y')\n","axes[0,1].set_title(\"plot of y = x^2 and y = x^3\")\n","\n","axes[1,0].plot(x , x**2 , color = \"red\" , label = \"y = x**2\")\n","axes[1,0].plot(x , y**3 , color = \"red\" , label = 'y = x**3')\n","axes[1,0].set_xlabel('x')\n","axes[1,0].set_ylabel('y')\n","axes[1,0].set_title(\"plot of y = x^2 and y = x^3\")\n","\n","axes[1,1].plot(x , x**2 , color = \"red\" , label = \"y = x**2\")\n","axes[1,1].plot(x , y**3 , color = \"red\" , label = 'y = x**3')\n","axes[1,1].set_xlabel('x')\n","axes[1,1].set_ylabel('y')\n","axes[1,1].set_title(\"plot of y = x^2 and y = x^3\")"],"execution_count":43,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'plot of y = x^2 and y = x^3')"]},"metadata":{"tags":[]},"execution_count":43},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA7UAAAL9CAYAAAD0JUGAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJeeUAl8Ap4cQ/h7v+w4wF+gaQnhB0n8C/wJ2DSEsisucD4wEWoYQ1kgaCZw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hceBx4Ftd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\nSc2B6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IiRPUcy6/JZdGrRKeqwREREJJX94Q9w+eVQUQFXXRUUuDnqyJqOVNSKSNpyd371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\npMr6f+ueQar198N4AAAAAElFTkSuQmCC\n","text/plain":["<Figure size 1100x900 with 4 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"SRDi1bH6b5Pm","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":295},"outputId":"1adb3ab6-e597-41d2-de7c-90892ca5a9e4","executionInfo":{"status":"ok","timestamp":1567687380752,"user_tz":-330,"elapsed":1609,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["\n","import numpy as np\n","import matplotlib.pyplot as plt\n","\n","\n","x1 = np.linspace(0.0, 5.0)\n","x2 = np.linspace(0.0, 2.0)\n","\n","y1 = np.cos(2 * np.pi * x1) * np.exp(-x1)\n","y2 = np.cos(2 * np.pi * x2)\n","\n","plt.subplot(2, 1, 1)  # plot two graph\n","plt.plot(x1, y1, 'o-')\n","plt.title('A tale of 2 subplots')\n","plt.ylabel('Damped oscillation')\n","\n","plt.subplot(2, 1, 2)\n","plt.plot(x2, y2, '.-')\n","plt.xlabel('time (s)')\n","plt.ylabel('Undamped')\n","\n","plt.show()"],"execution_count":30,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAY0AAAEWCAYAAACaBstRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nmkZqUgLb91QetC0x1skFGakH9W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CwRGRLfLq0ABE492jTlGMYRnD5UtMYBvwOOIVfmqfU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\n5kbDzMxKc6NhZmal/QfvV1bRucprVwAAAABJRU5ErkJggg==\n","text/plain":["<Figure size 432x288 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"k2-3_XDxf1cH","colab_type":"text"},"source":["**Histogram**"]},{"cell_type":"code","metadata":{"id":"HCbh6_ktcYIX","colab_type":"code","colab":{"base_uri":"https://localhost:8080/","height":441},"outputId":"99b560de-551a-49f0-b0b1-6a8c0e7c2ae7","executionInfo":{"status":"ok","timestamp":1567688591986,"user_tz":-330,"elapsed":1431,"user":{"displayName":"HRITIK JAISWAL","photoUrl":"https://lh3.googleusercontent.com/a-/AAuE7mAIoT5asTvy-RaZPvDKRvz2bMxFBhU-1QvQZ2E4=s64","userId":"10596177819840519504"}}},"source":["n = np.random.randn(100000)\n","fig,axes = plt.subplots(1,2, figsize= (12,6))\n","\n","axes[0].hist(n , color = \"blue\")\n","axes[0].set_title(\"deafault histogram\")\n","axes[0].set_xlim(np.min(n),np.max(n))\n","\n","axes[1].hist(n , cumulative = True ,bins= 50 ,color = \"red\")\n","axes[1].set_title(\"cumalative histogram\")\n","axes[1].set_xlim(np.min(n),np.max(n))\n","\n","fig.tight_layout()\n","plt.show()"],"execution_count":50,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAA1gAAAGoCAYAAABbkkSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyXLgZOA5wCrgA0n2S7If8H7gBGA5cErrK0mSJM0tycQPzQlTBqzqfKs93b8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0q1iD/SVJ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size 864x432 with 2 Axes>"]},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"id":"QhTRAoAogrIj","colab_type":"code","colab":{}},"source":[""],"execution_count":0,"outputs":[]}]}
이 알고리즘에 대해
import matplotlib as mat
print(mat.__version__)
3.0.3
import numpy as np
import matplotlib 
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

x = np.linspace(0,5,10)
# x = np.sin(x);
y = x**2



plt.figure(figsize= (8,6))

plt.plot(x,y,'g')
plt.xlabel("x axis")
plt.ylabel("y axis")

plt.title(r"plot of $y = X^2$")
plt.show()
x = np.linspace(-np.pi , np.pi ,256, endpoint = True)
c ,s = np.cos(x) , np.sin(x)
plt.plot(x,c)
plt.plot(x,s)

plt.show()
plt.figure(figsize= (8,6) , dpi = 100)
plt.subplot(111)
plt.plot(x,c, color = "purple" , linewidth = 1.0 ,linestyle = "-")

plt.plot(x,s, color = "green" , linewidth = 1.0 ,linestyle = "-")

plt.xlim(-4.0,+4.0)
plt.ylim(-1.0,+1.0)
plt.grid(True)

plt.savefig("./sine.pdf" , format= "pdf", dpi = 72)
plt.show()
plt.figure(figsize= (8,6) , dpi = 100)
plt.subplot(111)
plt.plot(x,c, color = "purple" , linewidth = 1.0 ,linestyle = "-")

plt.plot(x,s, color = "green" , linewidth = 1.0 ,linestyle = "-")

plt.xlim(x.min()*1.1 , x.max()*1.1)
plt.ylim(c.min()*1.1 , c.max()*1.1)
plt.grid(True)

plt.savefig("./sine.pdf" , format= "pdf", dpi = 72)
plt.show()
plt.figure(figsize= (8,6) , dpi = 100)
plt.subplot(111)
plt.plot(x,c, color = "purple" , linewidth = 1.0 ,linestyle = "-")

plt.plot(x,s, color = "green" , linewidth = 1.0 ,linestyle = "-")

plt.xlim(x.min()*1.1 , x.max()*1.1)
plt.ylim(c.min()*1.1 , c.max()*1.1)

plt.xticks([-np.pi , -np.pi/2,0,np.pi , np.pi/2])
plt.yticks([-1 , 0, +1])
plt.grid(True)

plt.savefig("./sine.pdf" , format= "pdf", dpi = 72)
plt.show()
plt.figure(figsize= (8,6) , dpi = 100)
plt.subplot(111)
plt.plot(x,c, color = "purple" , linewidth = 1.0 ,linestyle = "-" , label = "cosine")

plt.plot(x,s, color = "green" , linewidth = 1.0 ,linestyle = "-" , label = "sine")

plt.xlim(x.min()*1.1 , x.max()*1.1)
plt.ylim(c.min()*1.1 , c.max()*1.1)

plt.xticks([-np.pi , -np.pi/2,0,np.pi , np.pi/2] , [r'$-\pi$',r'$-\pi/2$',r'$0$',r'$+\pi$',r'$+\pi/2$'])
plt.yticks([-1 , 0, +1] , [r'$-1$',r'$0$',r'$+1$'])
plt.grid(True)

plt.legend(loc = 'upper left' , frameon= True)
plt.savefig("./sine.pdf" , format= "pdf", dpi = 72)
plt.show()
x = np.linspace(0,5,10)
y = x**2

fig ,axes = plt.subplots(1,2,figsize= (8,4), dpi = 100)
axes[0].plot(x , x**2 , color = "green" , label = "y = x**2")
axes[0].plot(x , x**3 , color = "green" , label = 'y = x**3')
axes[0].set_xlabel('x')
axes[0].set_ylabel('y')
axes[0].set_title("plot of y = x^2 and y = x^3")


axes[1].plot(x , x**2 , color = "red" , label = "y = x**2")
axes[1].plot(x , y**3 , color = "red" , label = 'y = x**3')
axes[1].set_xlabel('x')
axes[1].set_ylabel('y')
axes[1].set_title("plot of y = x^2 and y = x^3")
Text(0.5, 1.0, &#x27;plot of y = x^2 and y = x^3&#x27;)
#ploting 4 plots 

x = np.linspace(0,5,10)
y = x**2

fig ,axes = plt.subplots(2,2,figsize= (11,9), dpi = 100)
axes[0,0].plot(x , x**2 , color = "green" , label = "y = x**2")
axes[0,0].plot(x , x**3 , color = "green" , label = 'y = x**3')
axes[0,0].set_xlabel('x')
axes[0,0].set_ylabel('y')
axes[0,0].set_title("plot of y = x^2 and y = x^3")


axes[0,1].plot(x , x**2 , color = "red" , label = "y = x**2")
axes[0,1].plot(x , y**3 , color = "red" , label = 'y = x**3')
axes[0,1].set_xlabel('x')
axes[0,1].set_ylabel('y')
axes[0,1].set_title("plot of y = x^2 and y = x^3")

axes[1,0].plot(x , x**2 , color = "red" , label = "y = x**2")
axes[1,0].plot(x , y**3 , color = "red" , label = 'y = x**3')
axes[1,0].set_xlabel('x')
axes[1,0].set_ylabel('y')
axes[1,0].set_title("plot of y = x^2 and y = x^3")

axes[1,1].plot(x , x**2 , color = "red" , label = "y = x**2")
axes[1,1].plot(x , y**3 , color = "red" , label = 'y = x**3')
axes[1,1].set_xlabel('x')
axes[1,1].set_ylabel('y')
axes[1,1].set_title("plot of y = x^2 and y = x^3")
Text(0.5, 1.0, &#x27;plot of y = x^2 and y = x^3&#x27;)

import numpy as np
import matplotlib.pyplot as plt


x1 = np.linspace(0.0, 5.0)
x2 = np.linspace(0.0, 2.0)

y1 = np.cos(2 * np.pi * x1) * np.exp(-x1)
y2 = np.cos(2 * np.pi * x2)

plt.subplot(2, 1, 1)  # plot two graph
plt.plot(x1, y1, 'o-')
plt.title('A tale of 2 subplots')
plt.ylabel('Damped oscillation')

plt.subplot(2, 1, 2)
plt.plot(x2, y2, '.-')
plt.xlabel('time (s)')
plt.ylabel('Undamped')

plt.show()

Histogram

n = np.random.randn(100000)
fig,axes = plt.subplots(1,2, figsize= (12,6))

axes[0].hist(n , color = "blue")
axes[0].set_title("deafault histogram")
axes[0].set_xlim(np.min(n),np.max(n))

axes[1].hist(n , cumulative = True ,bins= 50 ,color = "red")
axes[1].set_title("cumalative histogram")
axes[1].set_xlim(np.min(n),np.max(n))

fig.tight_layout()
plt.show()