线性代数向量物理向量_线性函数向量使用Python的线性代数

我不是女神ヾ 2023-03-05 15:54 0阅读 0赞

线性代数 向量 物理向量

**Prerequisite:**

**先决条件：**

*  [Defining a Vector using list][]
    
    [使用列表定义向量][Defining a Vector using list]
 *  [Defining Vector using Numpy][]
    
    [使用Numpy定义向量][Defining Vector using Numpy]

A Linear Vector is a type of vector which has elements following a linear function. For example, a vector *\[2,4,6,8,10,12,14,16\]* and *\[5,8,11,14,17,20,23,26\]*. We can represent them mathematically as,

线性向量是一种向量，其向量具有遵循线性函数的元素。 例如，向量*\[2,4,6,8,10,12,14,16\]*和*\[5,8,11,14,17,20,23,26\]* 。 我们可以用数学方式将它们表示为

y = 2x, for the first example
    y = 3x + 5, for the second example
    
    In general, 
    y = ax + b
    
    Where, 
    a is a linear multiplicative factor, and 
    b is an offset value.

We have an inbuilt function within *numpy* library which lets us create this mathematical linear function and its data points very easily.

我们在*numpy*库中有一个内置函数，可让我们非常轻松地创建此数学线性函数及其数据点。

**Syntax:**

**句法：**

numpy.arange(low, up, mul_a)
    
    low - lower limit as value b (offset)
    up - upper limit 
    mul_a - multiplicative factor i.e. a

Such types of vectors have applications in Plotting ([Data Visualization][]) and Machine Learning.

这种类型的向量在绘图( [数据可视化][Data Visualization] )和机器学习中具有应用。

**Application:**

**应用：**

1.  Machine Learning
    
    机器学习
2.  Plotting and Data Visualization
    
    绘图和数据可视化
3.  Constraint Based Programming
    
    基于约束的编程

## 线性函数向量的Python程序 **(**Python program for linear function vector**)** ##

# Linear Algebra Learning Sequence
    # Linear Function Vector
    
    import numpy as np
    
    # Example 1, length 20
    t1 = np.arange(0,30,2)
    print('Example : ', t1)
    
    # Example 2, length 20
    t2 = np.arange(0,100,14)
    print('\n\nExample : ', t2)
    
    # Example 3, length 20
    t3 = np.arange(24,56)
    print('\n\nExample : ', t3)
    
    # Example 4, length 30
    t4 = np.arange(50)
    print('\n\nExample : ', t4)

**Output:**

**输出：**

Example :  [ 0  2  4  6  8 10 12 14 16 18 20 22 24 26 28]
    
    
    Example :  [ 0 14 28 42 56 70 84 98]
    
    
    Example :  [24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 
    39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55]
    
    
    Example :  [ 0  1  2  3  4  5  6  7  8  9 10 11 12 13 14 
    15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 
    34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49]

> 翻译自: [https://www.includehelp.com/python/a-linear-function-vector.aspx][https_www.includehelp.com_python_a-linear-function-vector.aspx]

线性代数 向量 物理向量

[Defining a Vector using list]: https://www.includehelp.com/python/defining-a-vector.aspx
[Defining Vector using Numpy]: https://www.includehelp.com/python/defining-matrix-using-numpy.aspx
[Data Visualization]: https://www.includehelp.com/python/data-visualization.aspx
[https_www.includehelp.com_python_a-linear-function-vector.aspx]: https://www.includehelp.com/python/a-linear-function-vector.aspx