在Python中將一個埃爾米特級數乘以另一個埃爾米特級數


要將一個埃爾米特級數乘以另一個,請在Python Numpy中使用polynomial.hermite.hermmul()方法。此方法返回一個數組,表示其乘積的埃爾米特級數。返回兩個埃爾米特級數c1 * c2的乘積。引數是從最低項到最高項的係數序列,例如[1,2,3]表示級數P_0 + 2*P_1 + 3*P_2。引數是從低到高排序的埃爾米特級數係數的1-D陣列。

步驟

首先,匯入所需的庫−

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

建立埃爾米特級數係數的1-D陣列−

c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

顯示係數陣列−

print("Array1...\n",c1)
print("\nArray2...\n",c2)

顯示資料型別−

print("\nArray1 datatype...\n",c1.dtype)
print("\nArray2 datatype...\n",c2.dtype)

檢查兩個陣列的維度−

print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)

檢查兩個陣列的形狀−

print("\nShape of Array1...\n",c1.shape)
print("\nShape of Array2...\n",c2.shape)

要將一個埃爾米特級數乘以另一個,請在Python Numpy中使用polynomial.hermite.hermmul()方法−

print("\nResult (multiply)....\n",H.hermmul(c1, c2))

示例

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

# Create 1-D arrays of Hermite series coefficients
c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

# 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 Hermite series to another, use the polynomial.hermite.hermmul() method in Python Numpy
# The method returns an array representing the Hermite series of their product.
print("\nResult (multiply)....\n",H.hermmul(c1, c2))

輸出

Array1...
   [1 2 3]

Array2...
   [3 2 1]

Array1 datatype...
int64

Array2 datatype...
int64

Dimensions of Array1...
1

Dimensions of Array2...
1

Shape of Array1...
(3,)

Shape of Array2...
(3,)

Result (multiply)....
   [35. 40. 38. 8. 3.]

更新時間:01-Mar-2022

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