table of Contents
- numpy
- One-dimensional array
- Two-dimensional array (the most used)
- And a list of differences np.array
- Get a multidimensional array of rows and columns
- Index multi-dimensional array
- Advanced Features
- Multidimensional array element replacement
- The combined multi-dimensional arrays
- Creating multidimensional arrays function method
- Matrix operations
- Point multiplication, transposition, inversion (understanding, mathematical knowledge)
- extremum
- numpy generates a random number
- Three-dimensional array (understand)
numpy
# 约定俗成定义为np
import numpy as np
array
- Data type, a bit like a list
One-dimensional array
- Only one line
- The mathematical equivalent of line
lis = [1, 2, 3]
print(np.array(lis))
[1 2 3]
Two-dimensional array (the most used)
- There are row has columns
- Corresponds mathematics surface, wherein a plurality of lines, which is installed a plurality of one-dimensional arrays
arr = np.array([[1, 2, 3], [4, 5, 6]])
print(arr)
[[1 2 3]
[4 5 6]]
And a list of differences np.array
- np.array is multidimensional, list is one-dimensional
- list of one-dimensional array do something, but numpy is a multidimensional array to operate
Get a multidimensional array of rows and columns
arr = np.array([[1, 2, 3, 4], [5, 6, 7, 8]])
print(arr.shape) # 把行和列返回在一个元祖中
print(arr.shape[0]) # 行
print(arr.shape[1]) # 列
(2, 4)
2
4
Index multi-dimensional array
- Brackets indexed, rows and columns are separated by commas
print(arr)
print('-' * 10)
print(arr[1, 2]) # 第二行第三列
print(arr[0, [0, 1, 2, 3]]) # 第一行所有的值
print(arr[0, :]) # 第一行所有的值切片
print(arr[:, 0]) # 第一列所有的值切片
print(arr[:, :]) # 整个多维数组切片
[[1 2 3 4]
[5 6 7 8]]
----------
7
[1 2 3 4]
[1 2 3 4]
[1 5]
[[1 2 3 4]
[5 6 7 8]]
Advanced Features
- Join judge, filtering capabilities
# 筛选出值大于50的数
arr = np.array([[12, 123, 20], [145, 56, 24], [51, 1, 2]])
print(arr)
print('-' * 20)
print(arr > 50)
print('-' * 20)
print(arr[arr > 50])
print('-' * 20)
[[ 12 123 20]
[145 56 24]
[ 51 1 2]]
--------------------
[[False True False]
[ True True False]
[ True False False]]
--------------------
[123 145 56 51]
--------------------
Multidimensional array element replacement
arr = np.array([[12, 123, 20], [145, 56, 24], [51, 1, 2]])
print(arr)
print('-' * 20)
arr[1, 2] = 20 # 第二行的第三个元素改为20
print(arr)
print('-' * 20)
arr[1, :] = 20 # 第一行所有元素改为0
print(arr)
print('-' * 20)
arr[arr > 50] = 40 # 大于50的全变为40
print(arr)
print('-' * 20)
[[ 12 123 20]
[145 56 24]
[ 51 1 2]]
--------------------
[[ 12 123 20]
[145 56 20]
[ 51 1 2]]
--------------------
[[ 12 123 20]
[ 20 20 20]
[ 51 1 2]]
--------------------
[[12 40 20]
[20 20 20]
[40 1 2]]
--------------------
The combined multi-dimensional arrays
arr1 = np.array([[1, 2, 3], [4, 5, 6]])
arr2 = np.array([[7, 8, 9], [10, 11, 12]])
- vstack and hstack only put a parameter, this parameter must be a container
# vstack和hstack
print(np.vstack((arr1, arr2))) # v:vertical 垂直
print('-' * 20)
print(np.hstack([arr1, arr2])) # h:horizon 水平
print('-' * 20)
[[ 1 2 3]
[ 4 5 6]
[ 7 8 9]
[10 11 12]]
--------------------
[[ 1 2 3 7 8 9]
[ 4 5 6 10 11 12]]
--------------------
- == In numpy, in order to make a unified process, as long as the axis parameters, axis = 0 is listed, axis = 1 is the row ==
# concatenate
print(np.concatenate((arr1, arr2))) # 默认是垂直
print('-' * 20)
print(np.concatenate((arr1, arr2), axis=0)) # 0是列
print('-' * 20)
print(np.concatenate((arr1, arr2), axis=1)) # 1是行
print('-' * 20)
[[ 1 2 3]
[ 4 5 6]
[ 7 8 9]
[10 11 12]]
--------------------
[[ 1 2 3]
[ 4 5 6]
[ 7 8 9]
[10 11 12]]
--------------------
[[ 1 2 3 7 8 9]
[ 4 5 6 10 11 12]]
--------------------
Creating multidimensional arrays function method
Create a one-dimensional array
- range
print(np.arange(10))
print(np.arange(1, 10, 2))
[0 1 2 3 4 5 6 7 8 9]
[1 3 5 7 9]
Creating multidimensional arrays
- zeros
# zeros全是0
print(np.zeros((3, 4)))
print('-' * 20)
print(np.zeros((2, 4, 3))) # 3控制一维,(3,4)控制二维,(3,4,5)控制三维
[[0. 0. 0. 0.]
[0. 0. 0. 0.]
[0. 0. 0. 0.]]
--------------------
[[[0. 0. 0.]
[0. 0. 0.]
[0. 0. 0.]
[0. 0. 0.]]
[[0. 0. 0.]
[0. 0. 0.]
[0. 0. 0.]
[0. 0. 0.]]]
- ones
# ones全是1
print(np.ones((3, 4)))
[[1. 1. 1. 1.]
[1. 1. 1. 1.]
[1. 1. 1. 1.]]
- eys
print(np.eye(5))
[[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.]]
Matrix operations
+ 两个矩阵对应元素相加
- 两个矩阵对应元素相减
* 两个矩阵对应元素相乘
/ 两个矩阵对应元素相除,如果都是整数则取商
% 两个矩阵对应元素相除后取余数
**n 单个矩阵每个元素都取n次方,如**2:每个元素都取平方
# 元素对应相加,可以加一维,但是不要这么做
arr1 = np.array([[1, 2, 3], [4, 5, 6]])
arr2 = np.array([[7, 8, 9], [10, 11, 12]])
print(arr1+arr2)
#...其余方法都大同小异
[[ 8 10 12]
[14 16 18]]
Point multiplication, transposition, inversion (understanding, mathematical knowledge)
# 点乘
# 需要一个(m,n)的数组和一个(n,m)的数组
# T可以把数组转置
np.dot(arr1, arr2.T)
array([[ 50, 68],
[122, 167]])
# 求逆
np.linalg.inv(np.dot(arr1, arr2.T))
array([[ 3.09259259, -1.25925926],
[-2.25925926, 0.92592593]])
extremum
print(arr1)
print(arr1.max())
print(arr1.min())
[[1 2 3]
[4 5 6]]
6
1
numpy generates a random number
np.random.rand(3, 4)
array([[0.95163457, 0.8643344 , 0.86843741, 0.45000529],
[0.01025429, 0.25391508, 0.28262799, 0.88679772],
[0.43937459, 0.13525713, 0.13961072, 0.61232842]])
Fixed random number, it is not random
rs = np.random.RandomState(1)
print(rs.rand(3, 4))
# 和上面作用相同
# np.random.seed(1)
# print(np.random.rand(3, 4))
[[4.17022005e-01 7.20324493e-01 1.14374817e-04 3.02332573e-01]
[1.46755891e-01 9.23385948e-02 1.86260211e-01 3.45560727e-01]
[3.96767474e-01 5.38816734e-01 4.19194514e-01 6.85219500e-01]]
Three-dimensional array (understand)
- A plurality of faces (two-dimensional array)