在 Python 中將一個切比雪夫級數乘以另一個


若要將一個切比雪夫級數乘以另一個,請在 Python 中使用 polynomial.chebyshev.chebmul() 方法。該方法返回表示其乘積的切比雪夫級數係數陣列。返回兩個切比雪夫級數 c1 * c2 的乘積。引數是係數序列,從最低階“項”到最高階,例如,[1,2,3] 表示級數 T_0 + 2*T_1 + 3*T_2。引數 c1 和 c2 是從小到高排列的切比雪夫級數係數的一維陣列。

步驟

首先,匯入所需的庫 -

import numpy as np
from numpy.polynomial import chebyshev as C

建立切比雪夫級數係數的一維陣列 −

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)

若要將一個切比雪夫級數乘以另一個,請在 Python Numpy 中使用 polynomial.chebyshev.chebmul() 方法 −

print("\nResult (multiplication)....\n",C.chebmul(c1,c2))

示例

import numpy as np
from numpy.polynomial import chebyshev as C

# Create 1-D arrays of Chebyshev 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 Chebyshev series to another, use the polynomial.chebyshev.chebmul() method in Python Numpy
print("\nResult (multiplication)....\n",C.chebmul(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 (multiplication)....
[ 6.5 12. 12. 4. 1.5]

更新於:08-Mar-2022

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