将Hermite级数转换为Python中的多项式

要将Hermite级数转换为多项式，在Python Numpy中使用hermite.herm2poly()方法。 将表示Hermite级数的系数数组，从最低次到最高次排序，转换为表示等效多项式的系数数组（相对于“标准”基）从最低次到最高次排序。

该方法返回一个包含等效多项式系数（相对于“标准”基）的1-D数组，从最低次项到最高次项排序。参数c是一个包含Hermite级数系数的1-D数组，从最低次项到最高次项排序。

步骤

首先，导入所需的库−

import numpy as np
from numpy.polynomial import hermite as H

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)

获得形状−

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

将Hermite级数转换为多项式，使用hermite.herm2poly()方法−

print("\nResult (hermite to polynomial)...\n",H.herm2poly(c))

示例

import numpy as np
from numpy.polynomial import hermite as H

# 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 Hermite series to a polynomial, use the hermite.herm2poly() method in Python Numpy
print("\nResult (hermite to polynomial)...\n",H.herm2poly(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 (hermite to polynomial)...
[ 55. -44. -228. 32. 80.]