Article Categories
- All Categories
-
Data Structure
-
Networking
-
RDBMS
-
Operating System
-
Java
-
MS Excel
-
iOS
-
HTML
-
CSS
-
Android
-
Python
-
C Programming
-
C++
-
C#
-
MongoDB
-
MySQL
-
Javascript
-
PHP
-
Economics & Finance
Python Articles
Page 218 of 855
Evaluate a 3-D Chebyshev series on the Cartesian product of x, y and z with 2d array of coefficient in Python
To evaluate a 3-D Chebyshev series on the Cartesian product of x, y, z, use the polynomial.chebgrid3d() method in Python. This function evaluates a multidimensional Chebyshev series at points formed by the Cartesian product of the input arrays. Understanding the Parameters The chebgrid3d(x, y, z, c) method takes four parameters: x, y, z − The coordinates where the 3-D series is evaluated. If any parameter is a list or tuple, it's converted to an ndarray c − Array of coefficients ordered so that coefficients for terms of degree i, j are in c[i, j]. If c ...
Read MoreEvaluate a 3-D Chebyshev series on the Cartesian product of x, y and z with 4d array of coefficient in Python
To evaluate a 3-D Chebyshev series on the Cartesian product of x, y, z, use the numpy.polynomial.chebyshev.chebgrid3d() method. This function computes the Chebyshev polynomial values at all combinations of the input points. Syntax numpy.polynomial.chebyshev.chebgrid3d(x, y, z, c) Parameters The parameters are ? x, y, z − Arrays of coordinates. The 3-D series is evaluated at points in the Cartesian product of x, y, and z c − Array of coefficients. If c has fewer than three dimensions, ones are implicitly appended to make it 3-D Example Let's create a ...
Read MoreEvaluate a 2-D polynomial at points (x, y) in Python
To evaluate a 2-D polynomial at points (x, y), use the numpy.polynomial.polynomial.polyval2d() method. This function evaluates a two-dimensional polynomial at specified coordinate points and returns the computed values. Syntax numpy.polynomial.polynomial.polyval2d(x, y, c) Parameters The function accepts three parameters ? x, y ? Coordinates where the polynomial is evaluated. Must have the same shape. c ? Array of coefficients where c[i, j] contains the coefficient for the term of multidegree i, j. Understanding Coefficient Array The coefficient array c represents a 2-D polynomial where each element c[i, j] corresponds to ...
Read MoreIntegrate a Chebyshev series in Python
To integrate a Chebyshev series in Python, use the chebyshev.chebint() method from NumPy. This function returns the Chebyshev series coefficients integrated m times from a lower bound along a specified axis. Syntax numpy.polynomial.chebyshev.chebint(c, m=1, k=[], lbnd=0, scl=1, axis=0) Parameters The function accepts the following parameters: c: Array of Chebyshev series coefficients. For multidimensional arrays, different axes correspond to different variables. m: Order of integration, must be positive (Default: 1) k: Integration constant(s). If empty list (default), all constants are set to zero lbnd: Lower bound of the integral (Default: 0) scl: Scaling ...
Read MoreEvaluate a 3-D Chebyshev series on the Cartesian product of x, y and z in Python
To evaluate a 3-D Chebyshev series on the Cartesian product of x, y, z, use the numpy.polynomial.chebyshev.chebgrid3d() method in Python. This function computes the Chebyshev polynomial values at all combinations of the input coordinate arrays. The chebgrid3d() method takes coordinate arrays x, y, z and evaluates the 3-D Chebyshev series at their Cartesian product. If the coefficient array c has fewer than three dimensions, ones are implicitly appended to make it 3-D. The result shape will be c.shape[3:] + x.shape + y.shape + z.shape. Syntax numpy.polynomial.chebyshev.chebgrid3d(x, y, z, c) Parameters x, y, z: ...
Read MoreEvaluate a 2-D Chebyshev series on the Cartesian product of x and y with 1d array of coefficient in Python
To evaluate a 2-D Chebyshev series on the Cartesian product of x and y, use the polynomial.chebgrid2d(x, y, c) method in Python. The method returns values of the two-dimensional Chebyshev series at points in the Cartesian product of x and y. If c has fewer than two dimensions, ones are implicitly appended to its shape to make it 2-D. Syntax numpy.polynomial.chebyshev.chebgrid2d(x, y, c) Parameters x, y − The two-dimensional series is evaluated at points in the Cartesian product of x and y. If x or y is a list or tuple, it is ...
Read MoreGenerate a monic polynomial with given complex roots in Python
To generate a monic polynomial with given complex roots, use the polynomial.polyfromroots() method in Python NumPy. The method returns a 1-D array of the polynomial's coefficients. If all the roots are real, then the output is also real, otherwise it is complex. The parameter roots is the sequence containing the roots. Syntax numpy.polynomial.polynomial.polyfromroots(roots) Parameters roots − Sequence containing the roots of the polynomial Return Value Returns a 1-D array of polynomial coefficients ordered from low to high degree. Example with Complex Roots Let's generate a monic polynomial with ...
Read MoreEvaluate a 3-D Chebyshev series at points (x, y, z) with 4D array of coefficient in Python
To evaluate a 3-D Chebyshev series at points (x, y, z), use the polynomial.chebval3d() method in Python NumPy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z. Syntax numpy.polynomial.chebyshev.chebval3d(x, y, z, c) Parameters The function accepts the following parameters − x, y, z − The three dimensional series is evaluated at the points (x, y, z), where x, y, and z must have the same shape. If any of x, y, or z is a list or tuple, it ...
Read MoreEvaluate a 3-D Chebyshev series at points (x, y, z) in Python
To evaluate a 3-D Chebyshev series at points (x, y, z), use the polynomial.chebval3d() method in NumPy. The method returns the values of the multidimensional polynomial on points formed with triples of corresponding values from x, y, and z. Syntax numpy.polynomial.chebyshev.chebval3d(x, y, z, c) Parameters The parameters are: x, y, z − The three dimensional series is evaluated at the points (x, y, z), where x, y, and z must have the same shape. If any of x, y, or z is a list or tuple, it is ...
Read MoreEvaluate a 2-D Chebyshev series at points (x, y) with 3D array of coefficient in Python
To evaluate a 2-D Chebyshev series at points (x, y), use the polynomial.chebval2d() method in Python NumPy. The method returns the values of the two dimensional Chebyshev series at points formed from pairs of corresponding values from x and y. The parameter c is an array of coefficients ordered so that the coefficient of the term of multidegree i, j is contained in c[i, j]. If c has dimension greater than 2, the remaining indices enumerate multiple sets of coefficients. Syntax numpy.polynomial.chebyshev.chebval2d(x, y, c) Parameters The parameters x and y represent evaluation points ...
Read More