{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Набор текста и формул с помощью Markdown"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"[К оглавлению](00_contents.ipynb)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Ячейка Markdown\n",
"\n",
"**Markdown** - простой язык для оформления документов. Ячейки этого типа используются для пояснения методики расчетов. \n",
"\n",
"Краткую справку по оформлению текста с помощью Markdown можно найти:\n",
"\n",
"- во встроенной документации Jupyter Notebook - cм. справку: `Help>Markdown` \n",
"- на [странице разработчика](http://daringfireball.net/projects/markdown/)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Краткая справка по синтаксису Markdown\n",
"\n",
"\n",
"\n",
"### Сплошной текст\n",
"```\n",
"Это первая строка.\n",
"Это тоже первая строка.\n",
"```\n",
"Это первая строка.\n",
"Это тоже первая строка.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"### Абзацы\n",
"\n",
"```\n",
"Текст первого абзаца\n",
"\n",
"Текст второго абзаца\n",
"```\n",
"Текст первого абзаца\n",
"\n",
"Текст второго абзаца\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Разрыв строки\n",
"```\n",
"Это первая строка абзаца.<два пробела в конце> \n",
"Это вторая строка этого же абзаца.\n",
"```\n",
"Это первая строка абзаца. \n",
"Это вторая строка этого же абзаца.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Или так:\n",
"\n",
"`Это - первая строка абзаца,
а это - вторая`\n",
"\n",
"Это - первая строка абзаца,
а это - вторая"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Заголовки\n",
"\n",
"Чтобы сделать текст заголовком, добавьте перед ним символ: `#` через пробел.\n",
"\n",
"```\n",
"# Уровень 1 ``\n",
"## Уровень 2 ``\n",
"### Уровень 3 ``\n",
"```\n",
"\n",
"# Уровень 1 ``\n",
"## Уровень 2 ``\n",
"### Уровень 3 ``\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Также можно обозначить текст заголовка с помощью подчеркивания.\n",
"\n",
"```\n",
"Уровень 1 ``\n",
"===============\n",
"\n",
"Уровень 2 ``\n",
"----------------\n",
"```\n",
"\n",
"\n",
"Уровень 1 ``\n",
"===============\n",
"\n",
"Уровень 2 ``\n",
"----------------\n",
"\n",
"Этот способ менее распространен и поддерживает только 2 уровня.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Выделение\n",
"\n",
"```\n",
"Этот текст выделен *курсивом*. Этот текст выделен **жирным шрифтом**. Этот текст выделен ***жирным курсивом***.\n",
"```\n",
"\n",
"Этот текст выделен *курсивом*. Этот текст выделен **жирным шрифтом**. Этот текст выделен ***жирным курсивом***.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"или так:\n",
"\n",
"```\n",
"Этот текст выделен _курсивом_. Этот текст выделен __жирным шрифтом__. Этот текст выделен ___жирным курсивом___.\n",
"```\n",
"\n",
"Этот текст выделен _курсивом_. Этот текст выделен __жирным шрифтом__. Этот текст выделен ___жирным курсивом___.\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Код\n",
"\n",
"Ключевые слова и выражения можно выделять `прямым шрифтом`.\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Блок кода\n",
"```\n",
"Это блок кода *(1-я строка)*\n",
"Это блок кода (1-я строка)\n",
"Никакие команды не интерпретируются.\n",
"```\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Блок кода Python\n",
"```python\n",
"print('hello!') # работает подсветка синтаксиса\n",
"```\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Маркированные списки\n",
"```\n",
"- Элемент 1\n",
" - Элемент 11\n",
" - Элемент 111\n",
" - Элемент 112 \n",
" - Элемент 12\n",
"- Элемент 2\n",
"```\n",
"- Элемент 1\n",
" - Элемент 11\n",
" - Элемент 111\n",
" - Элемент 112\n",
" - Элемент 12\n",
"- Элемент 2\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Нумерованные списки\n",
"\n",
"```\n",
"1. Элемент 1\n",
" 1. Элемент 11\n",
" 1. Элемент 111\n",
" 1. Элемент 112 \n",
" 1. Элемент 12\n",
"1. Элемент 2\n",
"```\n",
"\n",
"1. Элемент 1\n",
" 1. Элемент 11\n",
" 1. Элемент 111\n",
" 1. Элемент 112\n",
" 1. Элемент 12\n",
"1. Элемент 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">### Задание\n",
"> Составьте рейтинг из трех любимых фильмов или книг (с указанием режиссера или автора).\n",
"> Рейтинг должен быть оформлен в виде нумерованного списка. Фамилию режиссера/автора выделите жирным шрифтом.\n",
"> Не забудьте добавить заголовок перед списком"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Потренируйтесь здесь...*"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Гиперссылки и изображения\n",
"\n",
"### Просто URL\n",
"http://ya.ru\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Ссылка в тексте\n",
"\n",
"**Код:**\n",
"```\n",
"Открыть [Яндекс](http://ya.ru)\n",
"```\n",
"**Результат:**\n",
"\n",
"Открыть [Яндекс](http://ya.ru)\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Вставка изображений\n",
"\n",
"**Код:**\n",
"```\n",
"Картинка из Интернет:\n",
"\n",
"![Замещающий текст](http://icons.iconarchive.com/icons/cornmanthe3rd/plex/128/Other-python-icon.png \"Текст при наведении курсора\")\n",
"```\n",
"**Результат:**\n",
"\n",
"Картинка из Интернет\n",
"\n",
"![Замещающий текст](http://icons.iconarchive.com/icons/cornmanthe3rd/plex/128/Other-python-icon.png \"Текст при наведении курсора\")\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Код:**\n",
"```\n",
"Картинка из локального файла (подкаталог `pics` в текущем каталоге):\n",
"\n",
"\n",
"```\n",
"\n",
"**Результат:**\n",
"\n",
"Картинка из локального файла (подкаталог `pics` в текущем каталоге)\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">## Задание\n",
">1. Вставьте в документ ссылку на главную страницу сайта РХТУ. Текст ссылки должен быть: `Сайт РХТУ им. Д.И. Менделеева`\n",
">2. Найдите в Интернет изображение герба РХТУ (обратите внимание на размер - он не должен быть слишком большим, больше 800 точек по любому измерению). \n",
">Вставьте в документ это изображение.\n",
">3. Нарисуйте в PowerPoint любую картинку и сохраните ее как файл png. Вставьте этот файл в документ как изображение."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Набор формул LaTeX\n",
"\n",
"Масса справочников, искать по `'latex набор математических формул'`\n",
"\n",
"\n",
"Хороший краткий справочник по командам http://en.wikibooks.org/wiki/LaTeX/Mathematics\n",
"\n",
"Чтобы не искать символы по таблицам, пользуйтесь [Detexify](http://detexify.kirelabs.org/classify.html)\n",
"\n",
"Редактор формул Microsoft Office 2007 и более новых также использует команды $\\LaTeX$ для набора формул. Для многих команд можно найти подсказку, наведя курсор мыши на палитру символов.\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Общие принципы\n",
"\n",
"Знаки `$ ... $`, `$$ ... $$` переключают в математический режим. \n",
"\n",
"При этом `$x^2 + y^2$` дает формулу внутри строки: $x^2 + y^2$, \n",
"а `$$x^2 + y^2$$` - формулу на отдельной строке (выключную): $$x^2 + y^2$$\n",
"\n",
"Более сложные формулы (матрицы, системы уравнений) верстаются с помощью _окружений_.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Для верстки формул используются _команды_, например: \n",
"\n",
"Команда | Результат\n",
":--------------|:---------\n",
"`x^2` | $x^2$\n",
"`\\pi` | $\\pi$\n",
"`\\overline{x}` | $\\overline{x}$\n",
"`\\frac{a}{b}` | $\\frac{a}{b}$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Команды могут вкладываться друг в друга. Если команда должна применяться к выражению, в котором больше одного символа, то необходимо заключить это выражение в фигурные скобки: `{ }`.\n",
"\n",
"**Команда:**\n",
"\n",
"`$$ \\sqrt{ \\frac{2 D c_o}{c_h}} $$` \n",
"\n",
"**Результат:** $$\\sqrt{ \\frac{2 D c_o}{c_h}}$$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Греческие буквы\n",
"Команда | Результат\n",
":---------|:---------\n",
"`\\alpha` | $\\alpha$\n",
"`A` | $A$\n",
"`\\lambda` | $\\lambda$\n",
"`\\Lambda` | $\\Lambda$\n",
"`\\epsilon`| $\\epsilon$ - американский эпсилон\n",
"`\\varepsilon`| $\\varepsilon$ - наш эпсилон"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Индексы и акценты\n",
"\n",
"Команда | Результат\n",
":--------------|:----------\n",
"`x^2` | $x^2$\n",
"`t_k` | $t_k$\n",
"`x^{a+b}` | $x^{a+b}$\n",
"`\\hat{y}`| $\\hat{y}$\n",
"`\\bar{x}` | $\\bar{x}$\n",
"`\\bar{x+y}` | $\\bar{x+y}$\n",
"`\\overline{x+y}` | $\\overline{x+y}$"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Дроби\n",
"\n",
"Обычная дробь:\n",
"\n",
"`$$ \\frac{1}{x+y} $$`\n",
"$$\\frac{1}{x+y}$$\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Многоэтажные дроби выглядят некрасиво:\n",
"\n",
"`$$ \\frac{1}{1+\\frac{1}{x+y}} $$`\n",
"$$\\frac{1}{1+\\frac{1}{x+y}}$$\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Для из записи необходимо использовать команду `\\cfrac`:\n",
"\n",
"`$$ \\cfrac{1}{1+\\cfrac{1}{x+y}} $$`\n",
"$$\\cfrac{1}{1+\\cfrac{1}{x+y}}$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Скобки\n",
"\n",
"Для простых выражений можно вводить непосредственно: \n",
"\n",
"`$$ a(b+c) = ac + bc $$`\n",
"$$ a(b+c) = ac + bc $$\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`$$ x \\in (-\\infty, 0] $$`\n",
"$$ x \\in (-\\infty, 0] $$\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Для сложных выражений необходимо обозначать пары скобок для автоподбора высоты с помощью команд `\\left`, `\\right`:\n",
"\n",
"`$$ (\\frac{1}{a+b}) $$`\n",
"$$ (\\frac{1}{a+b}) $$\n",
"\n",
"\n",
"`$$ \\left( \\frac{1}{a+b} \\right) $$`\n",
"$$ \\left( \\frac{1}{a+b} \\right) $$\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Суммы, интегралы\n",
"\n",
"`$$\\sum_{i=1}^n x_i$$`\n",
"$$\\sum_{i=1}^n x_i$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"\n",
"`$$\\int_0^{\\infty} f(x)dx$$`\n",
"$$\\int_0^{\\infty} f(x)dx$$\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
"Более правильно:\n",
"\n",
"`$$\\int_0^{\\infty} f(x) \\, \\mathrm{d}x$$` \n",
"\n",
"- пробел перед d: `\\,`\n",
"- прямой шрифт: `\\mathrm{d}`\n",
"\n",
"$$\\int_0^{\\infty} f(x) \\, \\mathrm{d}x$$\n",
"\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Пределы снизу и сверху от знака интеграла:\n",
"`$$\\int\\limits_0^{\\infty} f(x) \\, \\mathrm{d}x$$`\n",
"\n",
"- `\\limits` - команда для переноса пределов\n",
"\n",
"$$\\int\\limits_0^{\\infty} f(x) \\, \\mathrm{d}x$$"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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VV7/H5Sxw+ZSUM7UHoy26YajqYMhl14KAhfJmbuzNgoCimjXfuFC2topvYbJxVcaCnMmH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\n8C6lepGe1XE4J/m7jVk3gZvQr5AzQM4AAJ5mtHT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"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import Image\n",
"Image('pics/formuli.png', embed=True)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": []
}
],
"metadata": {
"hide_input": false,
"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": "3.4.3"
},
"latex_envs": {
"bibliofile": "biblio.bib",
"cite_by": "apalike",
"current_citInitial": 1,
"eqLabelWithNumbers": true,
"eqNumInitial": 0
},
"toc": {
"toc_cell": false,
"toc_number_sections": false,
"toc_threshold": 4,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 0
}