在Python中将一个拉盖尔级数除以另一个

要将一个拉盖尔级数除以另一个，可以使用Python中的polynomial.laguerre.lagdiv()方法。该方法返回一个拉盖尔级数系数的[quo, rem]数组，表示商和余数。

返回两个拉盖尔级数c1 / c2的商和余数。参数是从最低阶“项”到最高阶的系数序列，例如，[1,2,3]表示系列P_0 + 2*P_1 + 3*P_2。参数c1和c2是按照从低到高的顺序排列的拉盖尔级数的一维数组。

步骤

首先，导入所需的库 –

import numpy as np
from numpy.polynomial import laguerre as L

创建Laguerre系数的1-D数组−

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

展示系数数组 −

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)

检查两个数组的维度-

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Laguerre series除以另一个，可以使用Python中的polynomial.laguerre.lagdiv()方法。 Numpy –

print("\nResult (divide)....\n",L.lagdiv(c1, c2))

示例

import numpy as np
from numpy.polynomial import laguerre as L

# Create 1-D arrays of Laguerre 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 Laguerre series by another, use the polynomial.laguerre.lagdiv() method in Python Numpy
print("\nResult (divide)....\n",L.lagdiv(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 (divide)....
   (array([3.]), array([-8., -4.]))