From b48f6bb5767471fbe5cfd368315cba4da412345d Mon Sep 17 00:00:00 2001 From: YYyanyan Date: Sun, 30 Oct 2022 20:58:24 +0800 Subject: [PATCH 1/2] YYyanyan --- ...60\347\232\204\345\215\232\345\256\242.md" | 22 +++++++++++++++++++ 1 file changed, 22 insertions(+) create mode 100644 "docs/views/data/\345\210\233\345\273\272\344\270\200\347\257\207\346\226\260\347\232\204\345\215\232\345\256\242.md" diff --git "a/docs/views/data/\345\210\233\345\273\272\344\270\200\347\257\207\346\226\260\347\232\204\345\215\232\345\256\242.md" "b/docs/views/data/\345\210\233\345\273\272\344\270\200\347\257\207\346\226\260\347\232\204\345\215\232\345\256\242.md" new file mode 100644 index 00000000..f31db40a --- /dev/null +++ "b/docs/views/data/\345\210\233\345\273\272\344\270\200\347\257\207\346\226\260\347\232\204\345\215\232\345\256\242.md" @@ -0,0 +1,22 @@ + 创建一篇新的博客 +# Markdown语法学习 +## 标题 +## 段落 +I really like using Markdown. + +I think I'll use it to format all of my documents from now on. +## 强调与斜体 +I just love **bold text** + +I just love *Italic* + +This text is ***really important*** +## 引用 +> Dorothy followed her through many of the beautiful rooms in her castle. +>>The Witch bade her clean the pots and kettles and sweep the floor and keep the fire fed with wood. +## 代码 + + + + + From 4e9912cbb7a1393ef22a306a69813c200da60f7c Mon Sep 17 00:00:00 2001 From: YYyanyan Date: Sun, 6 Nov 2022 12:01:47 +0800 Subject: [PATCH 2/2] YYyanyan --- ...72\347\241\200\347\237\245\350\257\206.md" | 455 ++++++++++++++++++ ...20221106_105448_com.netease.edu.ucmooc.jpg | Bin 0 -> 385536 bytes ...20221106_105450_com.netease.edu.ucmooc.jpg | Bin 0 -> 442054 bytes ...20221106_105453_com.netease.edu.ucmooc.jpg | Bin 0 -> 455522 bytes ...20221106_105503_com.netease.edu.ucmooc.jpg | Bin 0 -> 427170 bytes ...20221106_105510_com.netease.edu.ucmooc.jpg | Bin 0 -> 342359 bytes ...20221106_105512_com.netease.edu.ucmooc.jpg | Bin 0 -> 406640 bytes ...20221106_105515_com.netease.edu.ucmooc.jpg | Bin 0 -> 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Numpy基础函数与应用 +date: 2022-11-05 +author: YanY +categories: + - 数据分析部 +tags: + - Numpy库 +--- +# 前言 + +Numpy库是Scipy、Pandas等数据处理或科学计算库的基础,此篇主要针对Numpy库的ndarray对象和与矩阵运算相关函数进行归纳。部分参考资料来自MOOC“python数据分析与展示”课程。 + +# Numpy的引用 + +```python +import Numpy as np +``` + +# Numpy数组对象——ndarray对象的属性 + +```python +import numpy as np + +a = np.array([[0,1,2,3,4],[9,8,7,6,5]]) + +a.ndim #秩,即轴的数量或维度数 +Out[3]: 2 + +a.shape #尺度,对于矩阵即n行m列 +Out[4]: (2, 5) + +a.size #元素个数,相当于n*m +Out[5]: 10 + +a.dtype #元素类型 +Out[6]: dtype('int32') + +a.itemsize #每个元素大小,以字节为单位 +Out[7]: 4 + +``` + +# 数组的创建 + +## 1、从列表、元组创建 + +```python +x = np.array([1,2]) + +print(x) +[1 2] + +x = np.array((1,2)) + +print(x) +[1 2] + +x= np.array([[1,2],(3,4)]) + +print(x) +[[1 2] + [3 4]] + ``` + + ## 2、使用函数创建 + + ### 基础函数 + + ```python +np.arange(10) #生成0-(n-1)的向量 +Out[15]: array([0, 1, 2, 3, 4, 5, 6, 7, 8, 9]) + +np.ones((2,3)) #生成元素均为1的矩阵 +Out[16]: +array([[1., 1., 1.], + [1., 1., 1.]]) + +np.zeros((2,3)) #生成元素均为0的矩阵 +Out[17]: +array([[0., 0., 0.], + [0., 0., 0.]]) + +np.eye(5) #生成单位矩阵 +Out[19]: +array([[1., 0., 0., 0., 0.], + [0., 1., 0., 0., 0.], + [0., 0., 1., 0., 0.], + [0., 0., 0., 1., 0.], + [0., 0., 0., 0., 1.]]) + +np.full((2,3),5) #生成值均为value的矩阵,value可指定 +Out[20]: +array([[5, 5, 5], + [5, 5, 5]]) + ``` + +### 扩展函数 + +```python +a= np.array([[1,2],[3,4]]) + + #根据a数组的形状填充数组 + +np.ones_like(a) +Out[22]: +array([[1, 1], + [1, 1]]) + +np.zeros_like(a) +Out[23]: +array([[0, 0], + [0, 0]]) + +np.full_like(a,5) +Out[24]: +array([[5, 5], + [5, 5]]) + + +#linspace函数,给定起始值、结束值、元素个数,等距输出数组 + +a=np.linspace(1,10,4) + +a +Out[27]: array([ 1., 4., 7., 10.]) + +b= np.linspace(1,10,4,endpoint = False) #endpoint:规定结束值是否包含在数组中 + +b +Out[29]: array([1. , 3.25, 5.5 , 7.75]) + +``` + +### 数组拼接及插入函数 + +```python +B= np.array([[1, 2, 3],[2, 3, 4]]) + +C = np.array( [[ 3,6, 9 ]] ) + +D = np.array( [ [ 5 ], [ 10 ] ] ) + + +# 列拼接 + +np.concatenate((B,D),axis=1) #axis表示在第几个维度进行拼接 +array([[ 1, 2, 3, 5], + [ 2, 3, 4, 10]]) + +#行拼接 + +np.concatenate((B,C),axis =0) +array([[1, 2, 3], + [2, 3, 4], + [3, 6, 9]]) + +#append函数:降成一维 + +np.append(B,C) +array([1, 2, 3, 2, 3, 4, 3, 6, 9]) + +#insert函数 + +np.insert(B,2,[10,7],axis=1) +array([[ 1, 2, 10, 3], + [ 2, 3, 7, 4]]) + +np.insert(B,1,[2,2,2],axis=0) +array([[1, 2, 3], + [2, 2, 2], + [2, 3, 4]]) + +np.insert(B,1,[3],axis=1) +array([[1, 3, 2, 3], + [2, 3, 3, 4]]) + +C = np.insert( B, 1, [3], axis = 0 ) + +C +array([[1, 2, 3], + [3, 3, 3], + [2, 3, 4]]) + +``` + +# 数组的维度变换 + +```python + +# reshape函数:生成一个新维度的数组,不改变原数组 + +a.reshape((3,8)) +Out[3]: +array([[1, 1, 1, 1, 1, 1, 1, 1], + [1, 1, 1, 1, 1, 1, 1, 1], + [1, 1, 1, 1, 1, 1, 1, 1]]) + +a +Out[4]: +array([[[1, 1, 1, 1], + [1, 1, 1, 1], + [1, 1, 1, 1]], + + [[1, 1, 1, 1], + [1, 1, 1, 1], + [1, 1, 1, 1]]]) + +#resize:对原数组进行操作 + +a.resize((3,8)) + +a +Out[6]: +array([[1, 1, 1, 1, 1, 1, 1, 1], + [1, 1, 1, 1, 1, 1, 1, 1], + [1, 1, 1, 1, 1, 1, 1, 1]]) + +# flatten: 生成一个一维数组 + +a.flatten() +Out[7]: +array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1]) + +``` + +# 数组的类型变换 + +```python + +#astype:改变数组中元素的数据类型 + +new_a = a.astype(np.float64) + +new_a +Out[10]: +array([[1., 1., 1., 1., 1., 1., 1., 1.], + [1., 1., 1., 1., 1., 1., 1., 1.], + [1., 1., 1., 1., 1., 1., 1., 1.]]) + +``` + +# 数组转为列表 + +```python + +#ls = a.tolist() + +a.tolist() +Out[11]: [[1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1]] + +``` + +# 数组的索引和切片 + +此操作与Python中序列的索引与切片相同,以下针对多维数组的切片进行实例演示,主要理解对各个维度进行索引查值和切片的过程。 + +```python + +a = np.arange(24).reshape((2,3,4)) + +``` + +## 索引 + +```python +a +Out[13]: +array([[[ 0, 1, 2, 3], + [ 4, 5, 6, 7], + [ 8, 9, 10, 11]], + + [[12, 13, 14, 15], + [16, 17, 18, 19], + [20, 21, 22, 23]]]) + +a[1,2,3] #最外层索引1,次外层索引2,里层索引3 +Out[14]: 23 + +a[-1,-2,-3] +Out[15]: 17 + + +``` + +## 切片 + +```python + +a[:,1,-3] +Out[16]: array([ 5, 17]) + +a[:,1:3,:] +Out[17]: +array([[[ 4, 5, 6, 7], + [ 8, 9, 10, 11]], + + [[16, 17, 18, 19], + [20, 21, 22, 23]]]) + +a[:,:,::2] #步长 +Out[18]: +array([[[ 0, 2], + [ 4, 6], + [ 8, 10]], + + [[12, 14], + [16, 18], + [20, 22]]]) + +``` + +# Numpy一元函数 + +对数组中的每个元素进行运算,如取绝对值、计算平方根、平方、对数、指数、三角函数等。不改变原数组。 + +```python + +#部分函数实例 + +a +Out[20]: +array([[0, 1, 2, 3, 4], + [5, 6, 7, 8, 9]]) + +np.sqrt(a) +Out[22]: +array([[0. , 1. , 1.41421356, 1.73205081, 2. ], + [2.23606798, 2.44948974, 2.64575131, 2.82842712, 3. ]]) + +np.square(a) +Out[23]: +array([[ 0, 1, 4, 9, 16], + [25, 36, 49, 64, 81]], dtype=int32) + +``` + +# Numpy二元函数 + +对两个***相同形状***的数组各元素之间进行运算,如四则运算,次方运算,最大最小值,模运算、比较等。 + +```python +a= np.array([[1,2,3],[4,5,6]]) + +b= np.array([[4,5,6],[7,8,9]]) + +a+b +Out[27]: +array([[ 5, 7, 9], + [11, 13, 15]]) + +a*b #若是矩阵运算,需要与点乘进行区别,此为对位乘法。 +Out[28]: +array([[ 4, 10, 18], + [28, 40, 54]]) + +np.maximum(a,b) +Out[29]: +array([[4, 5, 6], + [7, 8, 9]]) + +``` + +# 与矩阵运算相关的操作 + +```python +a +Out[35]: +array([[1, 2, 3], + [4, 5, 6]]) + +b +Out[36]: +array([[0, 1], + [2, 3], + [4, 5]]) +``` + +## 点乘 + +应满足矩阵点乘条件 + +```python +a.dot(b) +Out[37]: +array([[16, 22], + [34, 49]]) + +np.dot(a,b) +Out[38]: +array([[16, 22], + [34, 49]]) +``` + +## 求逆 + +***np.linalg.inv(array)*** + +实际运用是应先判断是否可逆,否则会报错。 + +```python + +a +Out[46]: +array([[1, 2, 3], + [3, 3, 9], + [2, 3, 4]]) + +np.linalg.inv(a) +Out[47]: +array([[-2.50000000e+00, 1.66666667e-01, 1.50000000e+00], + [ 1.00000000e+00, -3.33333333e-01, 8.32667268e-17], + [ 5.00000000e-01, 1.66666667e-01, -5.00000000e-01]]) + +``` + +## 转置 + +``` +a.T +Out[48]: +array([[1, 3, 2], + [2, 3, 3], + [3, 9, 4]]) +``` + +# 参考资料 + +有关随机数函数、统计函数、梯度函数的学习,详见之后的博客。若有错误之处,望大家指正! + +![数组属性](../imgs/2211/10/YYyanyan/Screenshot_20221106_105535_com.netease.edu.ucmooc.jpg) + +![数组元素类型(1)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105530_com.netease.edu.ucmooc.jpg) + +![数组元素类型(2)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105529_com.netease.edu.ucmooc.jpg) + +![数组元素类型(3)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105527_com.netease.edu.ucmooc.jpg) + +![数组创建方法——函数创建(1)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105515_com.netease.edu.ucmooc.jpg) + +![数组创建方法——函数创建(2)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105512_com.netease.edu.ucmooc.jpg) + +![数组创建方法——函数创建(3)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105510_com.netease.edu.ucmooc.jpg) + +![数组维度变换](../imgs/2211/10/YYyanyan/Screenshot_20221106_105503_com.netease.edu.ucmooc.jpg) + +![一元函数(1)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105453_com.netease.edu.ucmooc.jpg) + +![一元函数(2)](../imgs/2211/10/YYyanyan/Screenshot_20221106_105450_com.netease.edu.ucmooc.jpg) + +![二元函数](../imgs/2211/10/YYyanyan/Screenshot_20221106_105448_com.netease.edu.ucmooc.jpg) + + diff --git a/docs/views/imgs/2211/10/YYyanyan/Screenshot_20221106_105448_com.netease.edu.ucmooc.jpg b/docs/views/imgs/2211/10/YYyanyan/Screenshot_20221106_105448_com.netease.edu.ucmooc.jpg new file mode 100644 index 0000000000000000000000000000000000000000..fdf32d8a91883f9625e0e25065d05acc18360276 GIT binary patch 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