To differentiate a Hermite_e series, use the hermite_e.hermeder() method in Python. The 1st parameter, c is an array of Hermite_e series coefficients. If c is multidimensional the different axis correspond to different variables with the degree in each axis given by the corresponding index.The 2nd parameter, m is the number ... Read More

To multiply a Chebyshev series by an independent variable, use the polynomial.chebyshev.chebmulx() method in Python Numpy. The method returns an array representing the result of the multiplication. The parameters c1 and c2 are 1-D arrays of Chebyshev series coefficients ordered from low to high.StepsAt first, import the required libraries -import ... Read More

To subtract one Chebyshev series to another, use the polynomial.chebyshev.chebsub() method in Python Numpy. The method returns an array Of Chebyshev series coefficients representing their difference. Returns the difference of two Chebyshev series c1 - c2. The sequences of coefficients are from lowest order term to highest, i.e., [1, 2, ... Read More

To add one Chebyshev series to another, use the polynomial.chebyshev.chebadd() method in Python Numpy. The method returns an array representing the Chebyshev series of their sum. Returns the sum of two Chebyshev series c1 + c2. The arguments are sequences of coefficients ordered from lowest order term to highest, i.e., ... Read More

To remove small trailing coefficients from a polynomial, use the polynomial.polytrim() method in Python Numpy. The method returns a 1-d array with trailing zeros removed. If the resulting series would be empty, a series containing a single zero is returned.The “Small” means “small in absolute value” and is controlled by ... Read More

To get the least-squares fit of a polynomial to data, use the polynomial.polyfit() in Python Numpy. The method returns the Polynomial coefficients ordered from low to high. If y was 2-D, the coefficients in column k of coef represent the polynomial fit to the data in y’s k-th column. The ... Read More

To return the companion matrix of a 1-D array of polynomial coefficients, return the polynomial.polycompanion() method in Python Numpy. The companion matrix for power series cannot be made symmetric by scaling the basis, so this function differs from those for the orthogonal polynomials. The method returns the Companion matrix of ... Read More

To generate a Vandermonde matrix of given degree and sample points (x, y, z)., use the polynomial.polyvander3d() in Python Numpy. The method returns the pseudo-Vandermonde matrix of degrees deg and sample points (x, y, z). The parameter, x, y, z are the arrays of point coordinates, all of the same ... Read More

To generate a Vandermonde matrix of given degree and sample points (x, y, z)., use the polynomial.polyvander3d() in Python Numpy. The method returns the pseudo-Vandermonde matrix of degrees deg and sample points (x, y, z). The parameter, x, y, z are the arrays of point coordinates, all of the same ... Read More

To generate a pseudo Vandermonde matrix of given degree and x, y, z sample points, use the polynomial.polyvander3d() in Python Numpy. The method returns the pseudo-Vandermonde matrix of degrees deg and sample points (x, y, z). The parameter, x, y, z are the arrays of point coordinates, all of the ... Read More