在Python中将一个Legendre级数添加到另一个Legendre级数中

要将一个Legendre级数添加到另一个Legendre级数中，在Python的Numpy库中使用polynomial.legendre.legadd()方法。该方法返回表示它们和的Legendre级数的数组。

返回两个Legendre级数c1 + c2的和。参数是按最低阶项到最高阶项排序的系数序列，即，[1,2,3]表示系列P_0 + 2P_1 + 3P_2。参数c1和c2是按从低到高顺序排列的一维数组。

步骤

首先，导入所需的库−

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

创建Legendre系数的1-D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Legendre系列与另一个相加，使用Python Numpy中的polynomial.legendre.legadd()方法。该方法返回一个表示它们总和的Legendre系列的数组 –

print("\nResult (sum)....\n",L.legadd(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 add one Legendre series to another, use the polynomial.legendre.legadd() method in Python Numpy
# The method returns an array representing the Legendre series of their sum.
print("\nResult (sum)....\n",L.legadd(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 (sum)....
   [6. 6. 6.]