如何在 Python 中將一個勒讓德級數乘以另一個勒讓德級數
要將一個勒讓德級數乘以另一個,請使用 Python Numpy 中的 polynomial.legendre.legmul() 方法。此方法返回一個表示其乘積的勒讓德級數的陣列。返回兩個勒讓德級數 c1 * c2 的乘積。引數是按從最低階項到最高階項排列的係數序列,即 [1,2,3] 表示級數 P_0 + 2*P_1 + 3*P_2。引數 c1 和 c2 是勒讓德級數係數按從低到高排列的 1 維陣列。
步驟
首先,匯入所需的庫 −
import numpy as np from numpy.polynomial import laguerre as L
建立勒讓德級數係數的 1 維陣列 −
c1 = np.array([2,3,4]) c2 = np.array([4,3,2])
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)要將一個勒讓德級數乘以另一個,請使用 Python Numpy 中的 polynomial.legendre.legmul() 方法 −
print("\nResult (product)....\n",L.legmul(c1, c2))示例
import numpy as np
from numpy.polynomial import legendre as L
# Create 1-D arrays of Legendre series coefficients
c1 = np.array([2,3,4])
c2 = np.array([4,3,2])
# 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 Legendre series from another, use the polynomial.legendre.legmul() method in Python Numpy
# The method returns an array representing the Legendre series of their product.
print("\nResult (product)....\n",L.legmul(c1, c2))輸出
Array1... [2 3 4] Array2... [4 3 2] Array1 datatype... int64 Array2 datatype... int64 Dimensions of Array1... 1 Dimensions of Array2... 1 Shape of Array1... (3,) Shape of Array2... (3,) Result (product).... [12.6 25.2 28.28571429 10.8 4.11428571]
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