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，可使用Python Numpy的polynomial.laguerre.lagdiv()方法。该方法返回一个[Laguerre系数的商，余数]数组。

返回两个拉盖尔级数c1/c2的商与余数。参数是从最低“项”到最高顺序的系数序列，例如，[1,2,3]表示级数P_0 + 2*P_1 + 3*P_2。参数c1和c2是按低到高排序的拉盖尔级数1-D数组。

步骤

首先，导入所需库−

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

创建拉盖尔级数系数的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)

检查两个数组的维数−

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)

要将一个拉盖尔级数除以另一个，可使用Python Numpy的polynomial.laguerre.lagdiv()方法−

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

例子

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

# 创建拉盖尔级数系数的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)

# 检查两个数组的维数
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)

# 要将一个拉盖尔级数除以另一个，可使用Python Numpy的polynomial.laguerre.lagdiv()方法
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.]))