{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "<p style=\"text-align:center\">\n", " <a href=\"https://nbviewer.jupyter.org/github/twMr7/Python-Machine-Learning/blob/master/01-Getting_Started.ipynb\">\n", " Open In Jupyter nbviewer\n", " <img style=\"float: center;\" src=\"https://nbviewer.jupyter.org/static/img/nav_logo.svg\" width=\"120\" />\n", " </a>\n", "</p>" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "[](https://colab.research.google.com/github/twMr7/Python-Machine-Learning/blob/master/01-Getting_Started.ipynb)\n", "\n", "# 1. Getting Started \n", "Python 語言的版本目前還常見有 2.x 及 3.x 兩種,除了維護舊系統相容性的顧慮外,建議新建系統及初學者都使用 3.x 版。 本課程內容規劃使用 Python 3,程式碼則在 3.6 版本的環境下測試。\n", "\n", "## 參考文件\n", "Python官方的文件就是很好的學習及參考手冊,可以[online](https://docs.python.org/3/)查詢,也可以下載來[offline](https://docs.python.org/3/download.html)使用。\n", "## 基本認識\n", "Python是直譯式的高階程式語言,可以想成是直譯器每讀一行程式碼就執行一行,不像C++需要經過編譯器讀過全部的程式碼,翻譯成機器碼(binary code)後才能給電腦執行。安裝完Python的開發環境後,可以透過不同的介面執行以下的初學範例:\n", "- python\n", "- ipython (or jupyter console)\n", "- jupyter qtconsole\n", "- jupyter notebook\n", "- spyder\n", "- [Microsoft Visual Studio Code](https://code.visualstudio.com/) \n", "- [Google Colaboratory](https://colab.research.google.com/)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 初學體驗1\n", "用`print`在視窗或console畫面上輸出文字,在python中用單引號或雙引號包住的都當作是文字資料。" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Hello Python!\n" ] } ], "source": [ "print('Hello Python!')" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "拍神你好\n" ] } ], "source": [ "# 所有井字符號 \"#\" 後的字碼都當成註解(comment)\n", "# Python預設使用Unicode(utf-8),處理中文字也沒問題。\n", "print(\"拍神你好\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 初學體驗2\n", "算數運算比小算盤、工程計算機還好用,精度更高,輸入更直覺,數字再大也不是問題。\n", "\n", "python語法的**算術運算符號:**\n", "- ` + ` **加**\n", "- ` - ` **減**\n", "- ` * ` **乘**\n", "- ` **` **次方**\n", "- ` / ` **除**(結果為浮點數)\n", "- ` //` **除法取商**(結果如同取floor,捨棄小數點後的數字)\n", "- ` % ` **除法取餘數**" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "41.5 // (2 + 5 * 3)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2**1000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**比較運算子:**\n", "- ` <` **小於**\n", "- ` >` **大於**\n", "- `==` **等於**\n", "- `<=` **小於或等於**\n", "- `>=` **大於或等於**\n", "- `!=` **不等於**\n", "\n", "比較結果為 True 或 False。兩個比較的表述式可以連續串接,等同於\"**而且**\"的邏輯,兩個比較結果都必須同時成立。例如: `1 < 3 > 2` 串接了兩個比較的陳述,即 `1 < 3 而且 3 > 2`。可以串接的表述式個數沒有限制,只是如果串得太長了,程式碼會比較不好閱讀、比較難除錯。" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "True" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "2**1000 / 2**900 == 2**100" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 初學體驗3\n", "除了一些數學常數外,程式碼中通常很少看得到用固定數值作運算,會像用代數來解決應用問題一樣,運用符號來代表問題中未知的或可變動的量,稱為變數(variable)。 將值用等號 \"=\" 指定給變數名稱。假設某物體初始位置$x_{0}$,在初速$v_{0}$及加速度$a$的條件下,計算移動的物體在時間$t$時的位置, $x_{t} = x_{0} + v_{0}t + \\frac{1}{2}at^2$。" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "198201.0" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x0 = 1\n", "v0 = 10\n", "a = 9.81\n", "t = 200\n", "x0 + v0 * t + 0.5 * a * t**2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "若想查看目前執行階段使用了哪些變數、函數庫或模組等,只要是ipython或jupyter系列的介面,都可以輸入 `%whos` 命令查看。" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Variable Type Data/Info\n", "-----------------------------\n", "a float 9.81\n", "t int 200\n", "v0 int 10\n", "x0 int 1\n" ] } ], "source": [ "%whos" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "最後的輸出會存在一個特殊的變數名稱 `_` 中。" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "198201.0\n" ] } ], "source": [ "print(_)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 初學體驗4\n", "ipython 或 jupyter console 從一開始就是設計成便利的互動式人機介面,所以很多開發的工作,不用離開ipython系列的介面就可以完成。還有很多方便的指令,可以輸入 `%lsmagic` 查詢。事實上,在大部分的系統中預設都是 `Automagic`,所以這些指令的前綴符號 `%` 是可以省略的。常用的操作:\n", "- `?` : ipython功能簡介\n", "- `物件?` : 該物件的說明。例如:`x0?`會顯示變數x0的資料型態(int)的說明,`%whos?`會顯示%whos指令的說明。\n", "- `help(物件)` : 顯示該物件的python說明。\n", "- `%quickref` : 指令快速查詢。\n", "- `%whos` : 顯示目前執行階段使用中的變數和物件\n", "- `%store` : 儲存變數以供跨越不同執行階段持續使用(重新開啟後仍然存在)\n", "- `%env` : 顯示環境變數。\n", "- `%set_env` : 設定環境變數\n", "- `%pwd` : 顯示目前工作目錄。\n", "- `%cd` : 切換目前工作目錄到指定位置\n", "- `%ls` : 列出檔案和目錄\n", "- `%copy` : 複製檔案或目錄\n", "- `%mkdir` : 新增目錄\n", "- `%rmdir` : 移除目錄\n", "- `!<系統指令>` : 執行目前作業系統下支援的指令\n", "- `%run <檔案.py>` : 在 ipython 中執行 script 檔\n", "- `%matplotlib` : 設定 matplotlib 如何支援繪圖顯示\n", "- `%%writefile filename` : 將此 cell 以下內容寫入 `filename` 檔案\n", "\n", "完整的 magic 命令可在[官方說明文件](https://ipython.readthedocs.io/en/stable/interactive/magics.html)查詢。" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['Python 3.6.8 :: Anaconda custom (64-bit)']" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "netifs = !python --version\n", "netifs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 初學體驗5\n", "Python除了本身內建不少常用的函式外,官方的開發也制定了相當多功能的標準函式庫(Python Standard Library),但針對五花八門的各種不同應用仍嫌不足,仍然需要許多非官方開發的函式庫套件來支援。例如:\n", "- 矩陣、陣列的操作運算,要用`numpy`\n", "- 科學運算常結合 `numpy` 及 `scipy` 套件\n", "- 資料分析、機器學習,常被使用的是 `pandas`、`scikit-learn`、和`tensorflow`\n", "- 圖表繪製,一定要會用幾乎是標準的 `matplotlib`,寫過 Matlab 的人對 matplotlib 的語法會很容易上手\n", "\n", "函式庫有一些不同的包裝方式,我們通稱為模組(module),在使用模組之前,要先做 `import` 讓 python 直譯器知道不是內建的函式名字要去哪裡找。常用的語法如下:\n", "```\n", "import module\n", "import module1, module2\n", "import module as name\n", "\n", "from module import name\n", "from module import name1, name2\n", "from module import *\n", "from module import name as alias_name\n", "\n", "```\n", "\n", "以繪製圖表為例,以下示範將 Matlab 常用的範例函數的向量場畫出來。\n", "\\begin{equation} \n", " z = xe^{-x^{2}-y^{2}}\n", "\\end{equation}\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "# 指定將圖表內嵌顯示在jupyter介面中\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# 試一下:模組名稱打三個字,然後按鍵盤TAB鍵\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "<matplotlib.contour.QuadContourSet at 0x1ce5ed0c860>" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "<Figure size 432x288 with 1 Axes>" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "y, x = np.mgrid[-2:2.1:0.2,-2:2.1:0.2]\n", "z = x * np.exp(-x ** 2 - y ** 2)\n", "dy, dx = np.gradient(z)\n", "plt.quiver(x, y, dx, dy, z)\n", "plt.contour(x, y, z, 10)" ] } ], "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": "3.7.4" } }, "nbformat": 4, "nbformat_minor": 2 }