numpy0.ipynb

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    "---"
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   "source": [
    "# Задачи по NumPy"
   ]
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    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
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    "1. Напишите функцию, возвращающую нулевой вектор длины 10, у которого пятый элемент - единица.\n",
    "\n",
    "*Вектор - numpy массив с shape = (n,)*"
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    "def null_vec():\n",
    "    # YOUR CODE HERE\n",
    "    raise NotImplementedError()\n",
    "    return a"
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    "2.Верните перевернутый вектор.\n",
    "\n",
    "Пример: [1, 2, 3]->[3,2,1]"
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    "def reverse_vec(v):\n",
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    "    return v_rev"
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    "3.Создайте матрицу 3x3, в которой величины будут идти по порядку от 0 до 8: \n",
    "\n",
    "\\begin{equation*} \n",
    "\\begin{pmatrix}\n",
    "0 & 1 & 2 \\\\\n",
    "3 & 4 & 5 \\\\\n",
    "6 & 7 & 8 \n",
    "\\end{pmatrix}\n",
    "\\end{equation*}"
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    "def matrix():\n",
    "    # YOUR CODE HERE\n",
    "    raise NotImplementedError()\n",
    "    return m\n",
    "matrix()"
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    "4. Постройте матрицу размером 8х8 по принципу шахматной доски."
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    "def checkerboard(w, b):\n",
    "    \"\"\"Создает матрицу по принципу шахматной доски.\n",
    "    Parameters\n",
    "    ----------\n",
    "    w: Символ, обозначающий белую клетку\n",
    "    b: Символ, обозначающий черную клетку\n",
    "    \n",
    "    Returns\n",
    "    -------\n",
    "    m: Матрица 8х8.\n",
    "    \"\"\"\n",
    "    # YOUR CODE HERE\n",
    "    raise NotImplementedError()\n",
    "    return m"
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    "5. Напишите функцию, которая переводит декартовы координаты в полярные."
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    "def cartesian_to_polar(c):\n",
    "    \"\"\"Переводит массив, состоящий из 10 пар координат xy \n",
    "    в массив координат r phi.\n",
    "    \n",
    "    Parameters\n",
    "    ----------\n",
    "    c: Array of int.\n",
    "    Массив размерами 10х2, каждая строка -- декартовы координаты точки. \n",
    "    \n",
    "    Returns\n",
    "    -------\n",
    "    p: Array of int. \n",
    "    Аналогичный массив из пар полярных координат. В первом столбике r.\n",
    "    \"\"\"\n",
    "    # YOUR CODE HERE\n",
    "    raise NotImplementedError()\n",
    "    return p"
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    "6. Улитка Пасскаля -- плоская кривая, задаваемая уравнением в полярных координатах: $𝑟=𝑎+cos𝜙.$ \n",
    "\n",
    "Напишите функцию, определяющую координаты точек такой кривой.\n",
    "\n",
    "(Подсказка: np.linspace создает одномерный массив из указанного количества элементов, значения которых равномерно распределенны внутри заданного интервала.)"
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    "def make_curve(n, a):\n",
    "    '''Функция возвращает массив nх2, содержащий n пар \n",
    "    декартовых координат точек кривой Паскаля'''\n",
    "    # YOUR CODE HERE\n",
    "    raise NotImplementedError()\n",
    "    return xy"
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    "N = 50\n",
    "A = 1\n",
    "m = make_curve(N, A)"
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    "Постройте ее на плоскости xy для разных значений a."
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    "# YOUR CODE HERE\n",
    "raise NotImplementedError()"
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