在Python中評估x、y和z的笛卡爾積上的三維Hermite級數
要在Python中評估x、y和z的笛卡爾積上的三維Hermite級數,可以使用hermite.hermgrid3d(x, y, z, c)方法。該方法返回在x、y和z的笛卡爾積中的點處的三維多項式的值。
引數是x、y、z。三維級數在x、y和z的笛卡爾積中的點處進行評估。如果x、y或z是列表或元組,則首先將其轉換為ndarray;否則,保持不變,如果它不是ndarray,則將其視為標量。
引數c是一個係數陣列,其係數的順序使得i、j次項的係數包含在c[i,j]中。如果c的維度大於二維,則其餘索引列舉多組係數。如果c的維度小於三維,則會隱式地向其形狀追加1使其成為三維。結果的形狀將為c.shape[3:] + x.shape + y.shape + z.shape。
步驟
首先,匯入所需的庫:
import numpy as np from numpy.polynomial import hermite as H
建立一個三維繫數陣列:
c = np.arange(16).reshape(2,2,4)
顯示陣列:
print("Our Array...\n",c)
檢查維度:
print("\nDimensions of our Array...\n",c.ndim)
獲取資料型別:
print("\nDatatype of our Array object...\n",c.dtype)
獲取形狀:
print("\nShape of our Array object...\n",c.shape)
要在Python中評估x、y和z的笛卡爾積上的三維Hermite級數,可以使用hermite.hermgrid3d(x, y, z, c)方法:
print("\nResult...\n",H.hermgrid3d([1,2],[1,2],[1,2],c))
示例
import numpy as np from numpy.polynomial import hermite as H # Create a 3D array of coefficients c = np.arange(16).reshape(2,2,4) # Display the array print("Our Array...\n",c) # Check the Dimensions print("\nDimensions of our Array...\n",c.ndim) # Get the Datatype print("\nDatatype of our Array object...\n",c.dtype) # Get the Shape print("\nShape of our Array object...\n",c.shape) # To evaluate a 3-D Hermite series on the Cartesian product of x, y and z, use the hermite.hermgrid3d(x, y, z, c) method in Python print("\nResult...\n",H.hermgrid3d([1,2],[1,2],[1,2],c))
輸出
Our Array... [[[ 0 1 2 3] [ 4 5 6 7]] [[ 8 9 10 11] [12 13 14 15]]] Dimensions of our Array... 3 Datatype of our Array object... int64 Shape of our Array object... (2, 2, 4) Result... [[[ 18. 5616.] [ 38. 9832.]] [[ 46. 10304.] [ 90. 17960.]]]
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