Algeworksheets Polynomials

Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high...

MathGL++ is a class library for fast C++ maths for use in OpenGL C++ projects. Easy to use and similar to the OpenGL API. Matricies, Vectors, Quaternions, Linear polynomials with eigen systems are all going to be included.

A Python module to easy manage monomials and polynomials.


Platforms: Windows, Mac, Linux

Provides efficient, effective implementations of 32- and 64-bit hash functions based on Rabin fingerprints / irreducible polynomials, in Java. Also provides integration with java.security.MessageDigest API.


Platforms: Windows, Mac, Solaris, Linux

This code proposes genetic algorithm (GA) to optimize the point-to-point trajectory planning for a 3-link (redundant) robotarm. The objective function for the proposed GA is to minimizing traveling time and space, while not exceeding a maximumpre-defined torque, without collision with any...


Platforms: Matlab

Determinantal matrix representations of hyperbolic polynomials are a current topic of interest and research among those working with LMI's (Linear Matrix Inequalities) and SDP (semi-definite programming). This toolbox was used to demonstrate some of the theorems presented in the author's Ph.D....


Platforms: Matlab

This code was written to deal with "Zernike polynomials" code graciously donated by Paul Fricker via file exchange.Here you will find a practical example of a function decomposition byZernike basis.The function is F below, feel free to modifyUnlike Paul's example found in 'zernfun2.m' here the...


Platforms: Matlab

Given a continuous-time system with parameters, can we find the range (or intervals) of the parameters where the system is stable?When the system model is written with the Laplacian transform, the question is equivalent to finding all the roots of a parameterized polynomial where the real parts...


Platforms: Matlab

Finds the weighting coefficients of the linear combination of a set of Legendre polynomials up to order N.Three methods are available (actually just for fun): 'inv' (default) inverts the normal equation matrix directly, while 'chol' and 'qr' find the solution via Cholesky and QR decomposition,...


Platforms: Matlab

For given p(x) = PROD[i=1,m]{SUM[j=2,n+2]{(A(i,j)*x^(j-2))^A(i,1)}} we shall get p(x) = SUM[s=1,N+1]{p(s)^(N+1-s)} For example If p(x) = (x-4)^5 * (3x^6-7x^3+5x+2)^2 * (x^3+8)^3 * x^2 or A = [ 5 -4 1 0 0 0 0 0 2 2 5 0 -7 0 0 3 3 8 0 0 1 0 0 0 1 0 0 1 0 0 0 0 ] then from p = polyget(A) we get p =...


Platforms: Matlab

This function do the Euclid's algorithm. As a matter of fact, for two given polynomials n, m (which are the polynomials of the symbolicvariable "s") it gives two other polynomials x, y such that nx+my=1.


Platforms: Matlab

This program returns the coefficients of the shifted Legendre polynomial P_n, given n. The result is a row vector with powers of x decreasing from left to right (standard MATLAB notation). Like for other polynomials, LegendreShiftPoly(n) can be evaluated at x by typing...


Platforms: Matlab

The definition of Cluster Polynomials was given in Tech. Report DEMO2011/1 available athttp://cag.dat.demokritos.gr/publications/TR2011-1.pdfThere are two versions.binroots that was used to produce the images of the last four figures in the report above and a more advanced version that can be...


Platforms: Matlab

This program finds numerator and denominator polynomials such that their division equals as many terms as possible of the user inputted function.


Platforms: Matlab

This program returns the coefficients of the Legendre polynomial P_n, given n. The result is a row vector with powers of x decreasing from left to right (standard MATLAB notation). Like for other polynomials, LegendrePoly(n) can be evaluated at x by typingpolyval(LegendrePoly(n),x).


Platforms: Matlab

Given a Legendre polynomial expansion where the coefficients are stored in a column vector, this script computes the expansion in terms of Chebyshev polynomials. Useful for spectral methods.


Platforms: Matlab

Given a Chebyshev polynomial expansion where the coefficients are stored in a column vector, this script computes the expansion in terms of Legendre polynomials. Useful for spectral methods.


Platforms: Matlab

This document is designed to perimiter in a few hours a minimal knowledge of the main features of Matlab. All the basic topics are covered in Matlab:- Generation of vectors and matrices- Handling of arrays and indices- Functions and polynomials- Data Files- Liner algebra in Matlab- Programming-...


Platforms: Matlab

Plots data points and first through sixth degree polynomials. Displays polynomial coefficients and r-squared values in command window. Allows user to choose range. Also allows user to remove trendlines that don't appear to fit.


Platforms: Matlab

This function either displays Zernike polynomials over a circular, hexagonal, elliptical, rectangular or annular shaped pupil, or fits surface data to these pupil shapes. See Mahajan, V.N., G.-m. Dai, "Orthonormal polynomials in wavefront analysis: analytical solution," J. Opt. Soc. Am. A, Vol....


Platforms: Matlab