資料結構
網路
關係資料庫管理系統
作業系統
Java
MS Excel
iOS
HTML
CSS
Android
Python
C 程式設計
C++
C#
MongoDB
MySQL
Javascript
PHP
物理學
化學
生物學
數學
英語
經濟學
心理學
社會學
服裝設計
法律研究在 Python 中生成 Hermite 多項式和 x、y、z 樣本點的偽範德蒙德矩陣
要生成 Hermite 多項式和 x、y、z 樣本點的偽範德蒙德矩陣，請在 Python Numpy 中使用 hermite.hermvander3d()。此方法返回偽範德蒙德矩陣。引數 x、y、z 是點座標陣列，所有陣列都具有相同的形狀。資料型別將轉換為 float64 或 complex128，具體取決於是否有任何元素是複數。標量將轉換為一維陣列。引數 deg 是形式為 [x_deg, y_deg, z_deg] 的最大次數列表。
步驟
首先，匯入所需的庫 -
import numpy as np from numpy.polynomial import hermite as H
使用 numpy.array() 方法建立形狀相同的點座標陣列 -
x = np.array([1, 2]) y = np.array([3, 4]) z = np.array([5, 6])
顯示陣列 -
print("Array1...\n",x)
print("\nArray2...\n",y)
print("\nArray3...\n",z)顯示資料型別 -
print("\nArray1 datatype...\n",x.dtype)
print("\nArray2 datatype...\n",y.dtype)
print("\nArray3 datatype...\n",z.dtype)檢查兩個陣列的維度 -
print("\nDimensions of Array1...\n",x.ndim)
print("\nDimensions of Array2...\n",y.ndim)
print("\nDimensions of Array3...\n",z.ndim)檢查兩個陣列的形狀 -
print("\nShape of Array1...\n",x.shape)
print("\nShape of Array2...\n",y.shape)
print("\nShape of Array3...\n",z.shape)# 要生成 Hermite 多項式和 x、y、z 樣本點的偽範德蒙德矩陣，請使用 hermite.hermvander3d() -
x_deg, y_deg, z_deg = 2, 3, 4
print("\nResult...\n",H.hermvander3d(x,y,z, [x_deg, y_deg, z_deg]))示例
import numpy as np
from numpy.polynomial import hermite as H
# Create arrays of point coordinates, all of the same shape using the numpy.array() method
x = np.array([1, 2])
y = np.array([3, 4])
z = np.array([5, 6])
# Display the arrays
print("Array1...\n",x)
print("\nArray2...\n",y)
print("\nArray3...\n",z)
# Display the datatype
print("\nArray1 datatype...\n",x.dtype)
print("\nArray2 datatype...\n",y.dtype)
print("\nArray3 datatype...\n",z.dtype)
# Check the Dimensions of both the arrays
print("\nDimensions of Array1...\n",x.ndim)
print("\nDimensions of Array2...\n",y.ndim)
print("\nDimensions of Array3...\n",z.ndim)
# Check the Shape of both the arrays
print("\nShape of Array1...\n",x.shape)
print("\nShape of Array2...\n",y.shape)
print("\nShape of Array3...\n",z.shape)
# To generate a pseudo Vandermonde matrix of the Hermite polynomial and x, y, z sample points, use the hermite.hermvander3d() in Python Numpy
# The method returns the pseudo-Vandermonde matrix.
x_deg, y_deg, z_deg = 2, 3, 4
print("\nResult...\n",H.hermvander3d(x,y,z, [x_deg, y_deg, z_deg]))輸出
Array1...
[1 2]
Array2...
[3 4]
Array3...
[5 6]
Array1 datatype...
int64
Array2 datatype...
int64
Array3 datatype...
int64
Dimensions of Array1...
1
Dimensions of Array2...
1
Dimensions of Array3...
1
Shape of Array1...
(2,)
Shape of Array2...
(2,)
Shape of Array3...
(2,)
Result...
[[1.0000000e+00 1.0000000e+01 9.8000000e+01 9.4000000e+02 8.8120000e+03
6.0000000e+00 6.0000000e+01 5.8800000e+02 5.6400000e+03 5.2872000e+04
3.4000000e+01 3.4000000e+02 3.3320000e+03 3.1960000e+04 2.9960800e+05
1.8000000e+02 1.8000000e+03 1.7640000e+04 1.6920000e+05 1.5861600e+06
2.0000000e+00 2.0000000e+01 1.9600000e+02 1.8800000e+03 1.7624000e+04
1.2000000e+01 1.2000000e+02 1.1760000e+03 1.1280000e+04 1.0574400e+05
6.8000000e+01 6.8000000e+02 6.6640000e+03 6.3920000e+04 5.9921600e+05
3.6000000e+02 3.6000000e+03 3.5280000e+04 3.3840000e+05 3.1723200e+06
2.0000000e+00 2.0000000e+01 1.9600000e+02 1.8800000e+03 1.7624000e+04
1.2000000e+01 1.2000000e+02 1.1760000e+03 1.1280000e+04 1.0574400e+05
6.8000000e+01 6.8000000e+02 6.6640000e+03 6.3920000e+04 5.9921600e+05
3.6000000e+02 3.6000000e+03 3.5280000e+04 3.3840000e+05 3.1723200e+06]
[1.0000000e+00 1.2000000e+01 1.4200000e+02 1.6560000e+03 1.9020000e+04
8.0000000e+00 9.6000000e+01 1.1360000e+03 1.3248000e+04 1.5216000e+05
6.2000000e+01 7.4400000e+02 8.8040000e+03 1.0267200e+05 1.1792400e+06
4.6400000e+02 5.5680000e+03 6.5888000e+04 7.6838400e+05 8.8252800e+06
4.0000000e+00 4.8000000e+01 5.6800000e+02 6.6240000e+03 7.6080000e+04
3.2000000e+01 3.8400000e+02 4.5440000e+03 5.2992000e+04 6.0864000e+05
2.4800000e+02 2.9760000e+03 3.5216000e+04 4.1068800e+05 4.7169600e+06
1.8560000e+03 2.2272000e+04 2.6355200e+05 3.0735360e+06 3.5301120e+07
1.4000000e+01 1.6800000e+02 1.9880000e+03 2.3184000e+04 2.6628000e+05
1.1200000e+02 1.3440000e+03 1.5904000e+04 1.8547200e+05 2.1302400e+06
8.6800000e+02 1.0416000e+04 1.2325600e+05 1.4374080e+06 1.6509360e+07
6.4960000e+03 7.7952000e+04 9.2243200e+05 1.0757376e+07 1.2355392e+08]]
更新於: 2022-03-03
116 次檢視
廣告