在 Python 中將一個切比雪夫級數加到另一個級數中


若要將一個切比雪夫級數加到另一個級數中,請使用 Python Numpy 中的 polynomial.chebyshev.chebadd() 方法。該方法返回一個表示其和的切比雪夫級數的陣列。返回兩個切比雪夫級數 c1 + c2 的和。引數是從低階到高階排列的係數序列,即,[1,2,3] 表示級數 T_0 + 2*T_1 + 3*T_2。引數 c1 和 c2 是從低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)

檢查兩個陣列的維數:

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加到另一個級數中,請使用 Python Numpy 中的 polynomial.chebyshev.chebadd() 方法:-

print("\nResult (sum)....\n",C.chebadd(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 add one Chebyshev series to another, use the polynomial.chebyshev.chebadd() method in Python Numpy
print("\nResult (sum)....\n",C.chebadd(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 (sum)....
[4. 4. 4.]

更新於: 28-2-2022

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