在Python中从另一个勒让德级数中减去一个勒让德级数

要从另一个勒让德级数中减去一个勒让德级数，使用Python Numpy中的polynomial.legendre.legsub()方法。该方法返回表示它们和的勒让德级数的数组。

返回两个勒让德级数c1 – c2的差。参数是从最低阶项到最高阶项排序的系数序列，即[1,2,3]表示级数P_0 + 2P_1 + 3P_2。 参数c1和c2是按照从低到高顺序排序的1-D数组的勒让德级数系数。

步骤

首先，导入所需的库−

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

创建Legendre系数的一维数组 –

c1 = np.array([2,3,4])
c2 = np.array([4,3,2])

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)

将一个勒让德级数减去另一个勒让德级数，使用Python Numpy中的polynomial.legendre.legsub()方法。

print("\nResult (difference)....\n",L.legsub(c1, c2))

示例

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

# Create 1-D arrays of Legendre series coefficients
c1 = np.array([2,3,4])
c2 = np.array([4,3,2])

# 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 subtract one Legendre series from another, use the polynomial.legendre.legsub() method in Python Numpy
print("\nResult (difference)....\n",L.legsub(c1, c2))

输出

Array1...
   [2 3 4]

Array2...
   [4 3 2]

Array1 datatype...
int64

Array2 datatype...
int64

Dimensions of Array1...
1

Dimensions of Array2...
1

Shape of Array1...
(3,)

Shape of Array2...
(3,)

Result (difference)....
   [-2. 0. 2.]