如何在 Python 中将一个勒让德级数乘以另一个勒让德级数


要将一个勒让德级数乘以另一个,请使用 Python Numpy 中的 polynomial.legendre.legmul() 方法。此方法返回一个表示其乘积的勒让德级数的数组。返回两个勒让德级数 c1 * c2 的乘积。参数是按从最低阶项到最高阶项排列的系数序列,即 [1,2,3] 表示级数 P_0 + 2*P_1 + 3*P_2。参数 c1 和 c2 是勒让德级数系数按从低到高排列的 1 维数组。

步骤

首先,导入所需的库 −

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

创建勒让德级数系数的 1 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)

要将一个勒让德级数乘以另一个,请使用 Python Numpy 中的 polynomial.legendre.legmul() 方法 −

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

更新于: 07-Mar-2022

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