diff --git a/HM_Task_1/HM_Task_1.ipynb b/HM_Task_1/HM_Task_1.ipynb new file mode 100644 index 0000000..9969684 --- /dev/null +++ b/HM_Task_1/HM_Task_1.ipynb @@ -0,0 +1,85 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# ВВЕДЕНИЕ В ВЫСШУЮ МАТЕМАТИКУ\n", + "## Практическое задание к `Уроку 1`" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 4. Задание (в программе):\n", + "Постройте на одном графике две кривые y(x) для функции двух переменной y(k,x)=cos(k∙x), взяв для одной кривой значение k=1, а для другой – любое другое k, не равное 1.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "x = np.linspace(1, 20, 200)\n", + "k1 = 1\n", + "k2 = 4\n", + "\n", + "plt.plot(x, np.cos(k1*x))\n", + "plt.plot(x, np.cos(k2*x))\n", + "plt.xlabel('x')\n", + "plt.ylabel('cos(kx)')\n", + "plt.grid(True)\n", + "plt.show()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.3" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/HM_Task_1/P(3).jpg b/HM_Task_1/P(3).jpg new file mode 100644 index 0000000..80e8534 Binary files /dev/null and b/HM_Task_1/P(3).jpg differ diff --git a/HM_Task_1/P1,2(1).jpg b/HM_Task_1/P1,2(1).jpg new file mode 100644 index 0000000..b82fc0f Binary files /dev/null and b/HM_Task_1/P1,2(1).jpg differ diff --git a/HM_Task_1/P2(2).jpg b/HM_Task_1/P2(2).jpg new file mode 100644 index 0000000..9a9c543 Binary files /dev/null and b/HM_Task_1/P2(2).jpg differ