将一个多项式转换为Python中的Legendre级数

要将多项式转换为Legendre级数，请在Python Numpy中使用legendre.poly2lag()方法。 将一个代表多项式系数的数组从最低次到最高次排序，转换为等效Legendre级数的系数数组，从最低到最高次排序。该方法返回一个包含等效Legendre级数系数的一维数组。参数pol是一个包含多项式系数的一维数组。

步骤

首先，导入所需的库−

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

使用numpy.array()方法创建一个数组 –

c = np.array([1, 2, 3, 4, 5])

显示数组−

print("Our Array...\n",c)

检查尺寸 –

print("\nDimensions of our Array...\n",c.ndim)

获取数据类型-

print("\nDatatype of our Array object...\n",c.dtype)

获取形状 –

print("\nShape of our Array object...\n",c.shape)

将一个多项式转换为勒让德级数，可以在Python Numpy中使用legendre.poly2lag()方法。

print("\nResult (polynomial to legendre)...\n",L.poly2leg(c))

示例

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

# Create an array using the numpy.array() method
c = np.array([1, 2, 3, 4, 5])

# Display the array
print("Our Array...\n",c)

# Check the Dimensions
print("\nDimensions of our Array...\n",c.ndim)

# Get the Datatype
print("\nDatatype of our Array object...\n",c.dtype)

# Get the Shape
print("\nShape of our Array object...\n",c.shape)

# To convert a polynomial to a Legendre series, use the legendre.poly2lag() method in Python Numpy
print("\nResult (polynomial to legendre)...\n",L.poly2leg(c))

输出

Our Array...
   [1 2 3 4 5]

Dimensions of our Array...
1

Datatype of our Array object...
int64

Shape of our Array object...
(5,)

Result (polynomial to legendre)...
   [3. 4.4 4.85714286 1.6 1.14285714]