Multiplying Polynomials

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...

The main function included in the attached file is called FRAME. The algorithm implemented in this function can be useful in motion analysis (biomechanics, bioengineering).When you know the 3-D position of at least three non-collinear points, you can define a Cartesian reference frame (coordinate...

Nowadays due to the yearly multiplying data comes always the claim for useful methods and algorithms that make the processing of these data easier. For the solution of this problem data mining tools come into existence, to which the clustering algorithms belong. At the Department of Process...


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

Java Algebra System (JAS for short) is an object oriented, type safe and multi-threaded approach to computer algebra. JAS provides a well designed software library using generic types for algebraic computations implemented in the Java programming language. The library can be used as any other...


Platforms: *nix

Gauss displays lines and surfaces defined algebraically in 3D space in many forms, including z=f(x,y), cylindrical polar coordinates, and parametric definitions with one (giving a line) and two (surface) parameters. View controls move the viewpoint through 3D space, using keyboard and mouse....


Platforms: Windows

Yodm 3D will transform your Windows desktop to give it a futuristic look, and with a little practice you will discover that it is very functional.Users who have used the Linux Ubuntu distribution will know: it establishes four united virtual desktops to form a cube, and you can rotate it to...


Platforms: Windows

Amoebax is a cute and addictive action-puzzle game. Due an awful mutation, some amoeba's species have started to multiply until they take the world if you can't stop them. Fortunately the mutation made then too unstable and lining up four or more will make them disappear. Follow Kim or Tom...


Platforms: Windows, Mac

PDL::Transform::Cartography Perl module contains useful cartographic projections. SYNOPSIS # make a Mercator map of Earth use PDL::Transform::Cartography; $a = earth_coast(); $a = graticule(10,2)->glue(1,$a); $t = t_mercator; $w = pgwin(xs); $w->lines($t->apply($a)->clean_lines());...


Platforms: *nix

Liboil is a library of simple functions that are optimized for various CPUs. These functions are generally loops implementing simple algorithms, such as converting an array of N integers to floating-point numbers or multiplying and summing an array of N numbers. Such functions are candidates...


Platforms: *nix

py_ecc is an implementation of Reed-Solomon codes, which are used for erasure correction, and a collection of routines for finite field arithmetic and generic matrix operations. Erasure correcting codes let you divide information, such as a file or a packet, into n pieces, of which k are...


Platforms: *nix

GNU Octave project is a high-level language, primarily intended for numerical computations. It provides a convenient command line interface for solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with Matlab....


Platforms: *nix

Math::Symbolic is a Perl module for symbolic calculations. SYNOPSIS use Math::Symbolic; my $tree = Math::Symbolic->parse_from_string(1/2 * m * v^2); # Now do symbolic calculations with $tree. # ... like deriving it... my ($sub) = Math::Symbolic::Compiler->compile_to_sub($tree); my...


Platforms: *nix

Math Objects is a math template library written in C++ using generic programming techniques. In order to use the "Math Objects" library, the user only has to include the header files he needs (e.g. Matrix.h, Polynomial.h etc.). In order to compile the library the user needs an ISO/IEC...


Platforms: *nix

Math::Symbolic::MiscAlgebra contains miscellaneous algebra routines like det(). SYNOPSIS use Math::Symbolic qw/:all/; use Math::Symbolic::MiscAlgebra qw/:all/; # not loaded by Math::Symbolic @matrix = ([x*y, z*x, y*z],[x, z, z],[x, x, y]); $det = det @matrix; @vector = (x, y, z);...


Platforms: *nix

barvinok library can count the number of integer points in parametrized and non-parametrized polytopes. For parametrized polytopes an explicit function in the shape of a piece-wise step-polynomial is constructed. This is a generalization of both Ehrhart quasi-polynomials and vector partition...


Platforms: *nix

PDL::Slatec is a PDL interface to the slatec numerical programming library. SYNOPSIS use PDL::Slatec; ($ndeg, $r, $ierr, $a) = polyfit($x, $y, $w, $maxdeg, $eps); This module serves the dual purpose of providing an interface to parts of the slatec library and showing how to interface PDL...


Platforms: *nix

PolyRoot is a companion app to RPN Calculator. It finds roots of polynomials of degree 10 or less. The polynomial coefficients can be real or complex. Drag & drop is supported to provide near seamless integration with RPNC.


Platforms: Mac

TunesTimer shows you how long each song in your iTunes library has been playing. It finds this out by multiplying the song length by the play count, and displays this information in an easy to use table.


Platforms: Mac