如何在 Python 中将一个勒让德级数乘以另一个勒让德级数
要将一个勒让德级数乘以另一个,请使用 Python Numpy 中的 polynomial.legendre.legmul() 方法。此方法返回一个表示其乘积的勒让德级数的数组。返回两个勒让德级数 c1 * c2 的乘积。参数是按从最低阶项到最高阶项排列的系数序列,即 [1,2,3] 表示级数 P_0 + 2*P_1 + 3*P_2。参数 c1 和 c2 是勒让德级数系数按从低到高排列的 1 维数组。
步骤
首先,导入所需的库 −
import numpy as np from numpy.polynomial import laguerre as L
创建勒让德级数系数的 1 维数组 −
c1 = np.array([2,3,4]) c2 = np.array([4,3,2])
显示系数数组 −
print("Array1...\n",c1) print("\nArray2...\n",c2)
显示数据类型 −
print("\nArray1 datatype...\n",c1.dtype) print("\nArray2 datatype...\n",c2.dtype)
检查两个数组的维度 −
print("\nDimensions of Array1...\n",c1.ndim) print("\nDimensions of Array2...\n",c2.ndim)
检查两个数组的形状 −
print("\nShape of Array1...\n",c1.shape) print("\nShape of Array2...\n",c2.shape)
要将一个勒让德级数乘以另一个,请使用 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))
输出
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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