在 Python 中用一個切比雪夫級數除以另一個級數
如需用一個切比雪夫級數除以另一個級數,請在 Python Numpy 中使用 polynomial.chebyshev.chebdiv() 方法。該方法返回表示商和餘數的切比雪夫級數係數陣列。
返回兩個切比雪夫級數 c1 / c2 的帶餘商。引數是從低階到高階的係數序列,例如,[1,2,3] 表示級數 T_0 + 2*T_1 + 3*T_2。引數 c1 和 c2 是從低到高排序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)檢查這兩個陣列的維數 −
print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)檢查這兩個陣列的形狀 −
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除以另一個級數,請在 Python 中使用 polynomial.chebyshev.chebdiv() 方法 −
print("\nResult (division)....\n",C.chebdiv(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 divide one Chebyshev series by another, use the polynomial.chebyshev.chebdiv() method in Python Numpy
print("\nResult (division)....\n",C.chebdiv(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 (division).... (array([3.]), array([-8., -4.]))
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