- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Evaluate a 3-D Hermite_e series on the Cartesian product of x, y and z with 2d array of coefficient in Python

To evaluate a 3-D Hermite_e series on the Cartesian product of x, y and z, use the hermite_e.hermegrid3d(x, y, z, c) method in Python. The method returns the values of the two dimensional polynomial at points in the Cartesian product of x, y and z. The parameters are x, y, z. The three dimensional series is evaluated at the points in the Cartesian product of x, y, and z. If x,`y`, or z is a list or tuple, it is first converted to an ndarray, otherwise it is left unchanged and, if it isn’t an ndarray, it is treated as a scalar.

The parameter, c is an array of coefficients ordered so that the coefficients for terms of degree i,j are contained in c[i,j]. If c has dimension greater than two the remaining indices enumerate multiple sets of coefficients. If c has fewer than three dimensions, ones are implicitly appended to its shape to make it 3-D. The shape of the result will be c.shape[3:] + x.shape + y.shape + z.shape.

## Steps

At first, import the required library −

import numpy as np from numpy.polynomial import hermite_e as H

Create a 2d array of coefficients −

c = np.arange(4).reshape(2,2)

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_e series on the Cartesian product of x, y and z, use the hermite_e.hermegrid3d(x, y, z, c) method in Python −

print("\nResult...\n",H.hermegrid3d([1,2],[1,2],[1,2],c))

## Example

import numpy as np from numpy.polynomial import hermite_e as H # Create a 2d array of coefficients c = np.arange(4).reshape(2,2) # 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_e series on the Cartesian product of x, y and z, use the hermite_e.hermegrid3d(x, y, z, c) method in Python print("\nResult...\n",H.hermegrid3d([1,2],[1,2],[1,2],c))

## Output

Our Array... [[0 1] [2 3]] Dimensions of our Array... 2 Datatype of our Array object... int64 Shape of our Array object... (2, 2) Result... [[17. 28.] [28. 46.]]

- Related Questions & Answers
- Evaluate a 3-D Hermite series on the Cartesian product of x, y and z with 2d array of coefficient in Python
- Evaluate a 3-D Hermite series on the Cartesian product of x, y and z with 4d array of coefficient in Python
- Evaluate a 3-D Laguerre series on the Cartesian product of x, y and z with 2d array of coefficient in Python
- Evaluate a 3-D Chebyshev series on the Cartesian product of x, y and z with 2d array of coefficient in Python
- Evaluate a 3-D Hermite series on the Cartesian product of x, y and z in Python
- Evaluate a 3-D polynomial on the Cartesian product of x, y, z with 2d array of coefficient in Python
- Evaluate a 3-D Hermite series at points (x,y,z) with 2D array of coefficient in Python
- Evaluate a 3-D Hermite_e series on the Cartesian product of x, y and z with 4d array of coefficient in Python
- Evaluate a 3-D Laguerre series on the Cartesian product of x, y and z with 4d array of coefficient in Python
- Evaluate a 3-D Chebyshev series on the Cartesian product of x, y and z with 4d array of coefficient in Python
- Evaluate a 3-D polynomial on the Cartesian product of x, y, z with 4d array of coefficient in Python
- Evaluate a 2-D Hermite series on the Cartesian product of x and y with 3d array of coefficient in Python
- Evaluate a 2-D Hermite series on the Cartesian product of x and y with 1d array of coefficient in Python
- Evaluate a 3-D Hermite_e series on the Cartesian product of x, y and z in Python
- Evaluate a 3-D Laguerre series on the Cartesian product of x, y and z in Python