在Python中将一个Legendre级数乘以另一个

要将一个Legendre级数乘以另一个，在Python的Numpy中使用polynomial.legendre.legmul()方法。该方法返回一个表示它们乘积的Legendre级数的数组。 返回两个Legendre级数c1 * c2的乘积。参数是按照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 + 2*P_1 + 3*P_2。参数c1和c2是按照从低到高排序的Legendre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 laguerre as L

创建Legendre级数系数的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)

要将一个勒让德级数与另一个相乘，请在Python Numpy中使用polynomial.legendre.legmul()方法。

print("\nResult (product)....\n",L.legmul(c1, c2))

Example

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 multiply one Legendre series from another, use the polynomial.legendre.legmul() method in Python Numpy
# The method returns an array representing the Legendre series of their product.
print("\nResult (product)....\n",L.legmul(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 (product)....
   [12.6 25.2 28.28571429 10.8 4.11428571]