在Python中将一个Chebyshev级数除以另一个

要将一个Chebyshev级数除以另一个，在Python的Numpy库中使用polynomial.chebyshev.chebdiv()方法。该方法返回代表商和余数的Chebyshev级数系数的数组。

返回两个Chebyshev级数c1 / c2的商和余数。参数是从最低阶项到最高阶项的系数序列，例如，[1,2,3]表示级数T_0 + 2*T_1 + 3*T_2。参数c1和c2是按照低到高顺序排列的Chebyshev级数系数的一维数组。

步骤

首先，导入所需的库-

import numpy as np
from numpy.polynomial import chebyshev as C

创建Chebyshev级数系数的1-D数组−

c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

显示系数数组 –

print("Array1...\n",c1)
print("\nArray2...\n",c2)

显示数据类型 −

print("\nArray1 datatype...\n",c1.dtype)
print("\nArray2 datatype...\n",c2.dtype)

检查两个数组的尺寸 –

print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)

检查两个数组的形状 –

print("\nShape of Array1...\n",c1.shape)
print("\nShape of Array2...\n",c2.shape)

要将一个切比雪夫级数除以另一个级数，可以使用Python中的polynomial.chebyshev.chebdiv()方法。

print("\nResult (division)....\n",C.chebdiv(c1,c2))

示例

import numpy as np
from numpy.polynomial import chebyshev as C

# Create 1-D arrays of Chebyshev series coefficients
c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

# Display the arrays of coefficients
print("Array1...\n",c1)
print("\nArray2...\n",c2)

# Display the datatype
print("\nArray1 datatype...\n",c1.dtype)
print("\nArray2 datatype...\n",c2.dtype)

# Check the Dimensions of both the arrays
print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)

# Check the Shape of both the arrays
print("\nShape of Array1...\n",c1.shape)
print("\nShape of Array2...\n",c2.shape)

# To divide one Chebyshev series by another, use the polynomial.chebyshev.chebdiv() method in Python Numpy
print("\nResult (division)....\n",C.chebdiv(c1,c2))

输出

Array1...
[1 2 3]

Array2...
[3 2 1]

Array1 datatype...
int64

Array2 datatype...
int64

Dimensions of Array1...
1

Dimensions of Array2...
1

Shape of Array1...
(3,)

Shape of Array2...
(3,)

Result (division)....
(array([3.]), array([-8., -4.]))