在Python中用一个切比雪夫数列除以另一个数列

在这篇文章中，我们将研究一种在Python中用一个切比雪夫数列除以另一个数列的方法。

切比雪夫多项式的线性组合被称为切比雪夫系列。切比雪夫多项式从来不是正式生成的。在所有的计算中只需要系数。在这篇文章中，让我们看看如何用一个切比雪夫级数除以另一个级数。Numpy库为我们提供了numpy.polynomial.chebyshev.chebdiv()方法，用于除掉两个切比雪夫数列。

语法: numpy.polynomial.chebyshev.chebdiv(c1, c2)

参数:

c1：类似阵列的对象。切比雪夫级数系数从低到高排列在一个一维阵列中。
c2：类似数组的对象。商和余数由切比雪夫级数系数表示。

返回:

除法后，返回一个数组。

示例 1:

我们导入NumPy包。我们创建两个数组，c1是切比雪夫数列系数从低到高排列的一维数组。c2是商，余数由切比雪夫数列系数表示。Chev.chebdiv()是用来划分两个切比雪夫数列的函数。数组的形状由.shape属性找到，数组的尺寸由.ndim属性找到，数组的数据类型是.type属性。

# import packages
import numpy as np
from numpy.polynomial import chebyshev as Chev
  
# Creating arrays of coefficients
array = np.array([3, 1, 4])
array2 = np.array([5, 7, 9])
print(array)
print(array2)
  
# shape of the arrays
print("Shape of the array1 is : ", array.shape)
print("Shape of the array2 is : ", array2.shape)
  
# dimensions of the array
print("The dimension of the array1 is : ", array.ndim)
print("The dimension of the array2 is : ", array2.ndim)
  
# Datatype of the arrays
print("Datatype of our Array1 is : ", array.dtype)
print("Datatype of our Array2 is : ", array2.dtype)
  
# dividing Chebyshev series
print(Chev.chebdiv(array, array2))

输出:

[3 1 4]
[5 7 9]
Shape of the array1 is :  (3,)
Shape of the array2 is :  (3,)
The dimension of the array1 is :  1
The dimension of the array2 is :  1
Datatype of our Array1 is :  int64
Datatype of our Array2 is :  int64
(array([0.44444444]), array([ 0.77777778, -2.11111111]))

示例 2:

在这个例子中，商和余数都不是 “直观 “的，我们在python中进一步将切比雪夫级数除以另一个。

# import packages
import numpy as np
from numpy.polynomial import chebyshev as Chev
  
# Creating arrays of coefficients
# neither quotient and remainder "intuitive"
array = np.array([11, 22, 33])
array2 = np.array([1, 11, 22, 33])
print(array)
print(array2)
  
# shape of the arrays
print("Shape of the array1 is : ", array.shape)
print("Shape of the array2 is : ", array2.shape)
  
# dimensions of the array
print("The dimension of the array1 is : ", array.ndim)
print("The dimension of the array2 is : ", array2.ndim)
  
# Datatype of the arrays
print("Datatype of our Array1 is : ", array.dtype)
print("Datatype of our Array2 is : ", array2.dtype)
  
# dividing Chebyshev series
print(Chev.chebdiv(array2, array))

输出:

[11 22 33]
[ 1 11 22 33]
Shape of the array1 is :  (3,)
Shape of the array2 is :  (4,)
The dimension of the array1 is :  1
The dimension of the array2 is :  1
Datatype of our Array1 is :  int64
Datatype of our Array2 is :  int64
(array([0., 2.]), array([-21., -44.]))