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Page 198 of 2547
Evaluate a 2D Laguerre series at points (x,y) with 1D array of coefficient in Python
To evaluate a 2D Laguerre series at points (x, y), use the polynomial.laguerre.lagval2d() method in Python NumPy. The method returns the values of the two-dimensional polynomial at points formed with pairs of corresponding values from x and y. The 1st parameter is x, y. The two dimensional series is evaluated at the points (x, y), where x and y must have the same shape. If x or y 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 ...
Read MoreEvaluate a 3D Laguerre series at points (x,y,z) with 4D array of coefficient in Python
To evaluate a 3D Laguerre series at points (x, y, z), use the polynomial.laguerre.lagval3d() 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. If the coefficient array c has fewer than 3 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. Syntax polynomial.laguerre.lagval3d(x, y, z, c) Parameters x, y, z − The three-dimensional series is evaluated at points (x, y, z), where x, ...
Read MoreEvaluate a 3D Laguerre series at points (x,y,z) in Python
To evaluate a 3D Laguerre series at points (x, y, z), use the numpy.polynomial.laguerre.lagval3d() method. This function computes the values of a multidimensional Laguerre polynomial at specified coordinate points. Syntax numpy.polynomial.laguerre.lagval3d(x, y, z, c) Parameters x, y, z: Array-like coordinates where the series is evaluated. Must have the same shape. Lists or tuples are converted to ndarrays, scalars are treated as scalars. c: Array of coefficients ordered so that the coefficient of term with multi-degree i, j, k is in c[i, j, k]. If c has fewer than 3 dimensions, ones are implicitly ...
Read MoreEvaluate a Hermite_e series at points x with multidimensional coefficient array in Python
To evaluate a Hermite_e series at points x, use the hermite_e.hermeval() method in Python NumPy. This function is particularly useful when working with multidimensional coefficient arrays. Parameters The hermeval() function accepts three parameters: x: The points at which to evaluate the series. Can be a scalar, list, tuple, or ndarray c: Array of coefficients where c[n] contains coefficients for terms of degree n. For multidimensional arrays, additional indices enumerate multiple polynomials tensor: Boolean flag (default True) that controls how coefficients are broadcast with evaluation points Basic Example Let's create a multidimensional coefficient array ...
Read MoreEvaluate a Hermite_e series at list of points x in Python
To evaluate a Hermite_e series at points x, use the hermite_e.hermeval() method in NumPy. This function evaluates the polynomial series at given points using the coefficients provided. Syntax numpy.polynomial.hermite_e.hermeval(x, c, tensor=True) Parameters The function accepts the following parameters − x − If x is a list or tuple, it is converted to an ndarray, otherwise it is left unchanged and treated as a scalar. The elements must support addition and multiplication with themselves and with the elements of c. c − An array of coefficients ordered so that the coefficients for terms ...
Read MoreEvaluate a Hermite_e series at tuple of points x in Python
To evaluate a Hermite_e series at points x, use the hermite_e.hermeval() method in Python NumPy. The method takes coefficients and evaluation points to compute the polynomial value at each point. Syntax numpy.polynomial.hermite_e.hermeval(x, c, tensor=True) Parameters The hermeval() method accepts the following parameters − x − Array of points to evaluate. If x is a list or tuple, it is converted to an ndarray. Elements must support addition and multiplication with coefficients. c − Array of coefficients ordered so that coefficients for terms of degree n are contained in c[n]. If multidimensional, remaining ...
Read MoreDifferentiate a Legendre series in Python
To differentiate a Legendre series in Python, use the legendre.legder() method from NumPy's polynomial module. This function returns the Legendre series coefficients differentiated m times along the specified axis. Syntax numpy.polynomial.legendre.legder(c, m=1, scl=1, axis=0) Parameters The function accepts the following parameters ? c ? Array of Legendre series coefficients. For multidimensional arrays, different axes correspond to different variables m ? Number of derivatives taken (must be non-negative, default: 1) scl ? Scalar multiplier applied at each differentiation step (default: 1) axis ? Axis over which the derivative is taken (default: 0) ...
Read MoreEvaluate a 3D Legendre series on the Cartesian product of x, y and z with 2d array of coefficient in Python
To evaluate a 3D Legendre series on the Cartesian product of x, y and z, use the polynomial.legendre.leggrid3d() method in Python NumPy. The method returns the values of the three-dimensional Legendre series at points in the Cartesian product of x, y, and z. If the coefficient array has fewer than three dimensions, ones are implicitly appended to its shape to make it 3D. Syntax numpy.polynomial.legendre.leggrid3d(x, y, z, c) Parameters The method accepts the following parameters ? x, y, z − The three-dimensional series is evaluated at points in the Cartesian product of ...
Read MoreEvaluate 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 three-dimensional polynomial at points in the Cartesian product of x, y and 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. Parameters ...
Read MoreEvaluate a 2D Legendre series at points (x, y) with 3D array of coefficient in Python
To evaluate a 2D Legendre series at points (x, y) with a 3D coefficient array, use the numpy.polynomial.legendre.legval2d() method. This method computes the values of a two-dimensional Legendre series at specified coordinate pairs. Syntax The basic syntax is ? numpy.polynomial.legendre.legval2d(x, y, c) Parameters The function accepts the following parameters ? x, y ? Coordinate arrays where the series is evaluated. Must have the same shape. c ? Array of coefficients where c[i, j] contains the coefficient for the term of multi-degree (i, j). For 3D arrays, additional indices enumerate multiple coefficient ...
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