Algeworksheets Polynomials

A given polynomial p(x) is transformed into a rational function r(x). The poles and residues of the derived rational function are found to be equivalent to the roots and multiplicities of the original polynomial. p(x) = Given polynomial = PROD[k=1:K]{(x - z_k)^m_k} d(x) = (d/dx)p(x) g(x) =...

POLYCOMP Polynomial compositionR = POLYCOMP(P,Q) returns the composition of Q(P(x)) given polynomials P and Q with coefficients in descending order. If Q is a scalar, with value N, it assumes shorthand notation for Q(x)=x^N. Output is a polynomial with coefficients in descending order. Example:%...

Euler spiral is generated by evaluating Fresnel integral.By changing some of the parameters different types ofspirals are generated.This script can generate 18 different spirals.When this script is executed a list dialog appears with 18 differentpolynomials, select any one to generate one of...


Platforms: Matlab

mpmath is a replacement for Python's float/complex types and math/cmath modules with unlimited precision and exponent sizes. The mpmath software is written entirely in Python without any external dependencies and hence runs almost anywhere, without the need for compilation. To install, unpack...


Platforms: Mac

This video describes working with complex numbers and polynomials in MATLAB in the Czech language. It's the fourth part of complete video tutorial about MATLAB and SIMULINK.AVI file is compressed by WinZIP, TechSmith Screen Capture Codec (TSCC) is necessary to view the file.


Platforms: PHP

Compute Hermite polynomials. h = hermite(n) h = hermite(n,x)Inputs: - n is the order of the Hermite polynomial (n>=0). - x is (optional) values to be evaluated on the resulting Hermite polynomial function.There are two possible outputs:1. If x is omitted then h is an array with (n+1) elements...


Platforms: Matlab

Efficient computation of pseudo Zernike radial polynomials via their relation to Zernike radial polynomials.Thus it will need another function stored in the matlabcentral, fileID 34641http://www.mathworks.com/matlabcentral/fil...l_polynomials.mThis function is written with vectorization in mind,...


Platforms: Matlab

15th July, 2005 : Poly_POWER.m is now corrected !So, for most reasonable cases of Multiple Roots including Multiple Real Roots, Poly_POWER.m should now work. ********************Functional Description of Ch_Rem_Thr_Poly.m :Assume that we need to find a solution c_soln_Polysuch that it satisfies...


Platforms: Matlab

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

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

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

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 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

Represent a wavefront as a sum of Zernike polynomials using a matrix inversion.This function attempts to solve the a_i's in equation, phi(rho,theta) = SUM(a_i * Z_i(rho,theta), i=1 to M),where the Z_i(rho,theta)'s are the Zernike polynomials from the zernfun.m file, phi is the wavefront to be...


Platforms: Matlab

In image analysis, such as in the field of AFM topography, a standard problem is to fit polynomials of given ORDer to many columns of data, considered as different functions of the same independent variable. POLYFIC solves this problem in a vectorized way (without using loops). In addition to...


Platforms: Matlab

GSP is a graphical user interface which takes x and y points as inputs, along with the order m, then outputs mth order splines between each of the x points. In most cases additional constraints are to be entered as well. Example: Input: x points : [1 2 3 4] y points : [2 7 -1 5] Order : 2 *One...


Platforms: Matlab

Hurwitz-Schur Stability Test of 2-D PolynomialsCopyright (C) Yang XIAO, Beijing Jiaotong University, Aug.8, 2007, E-Mail: yxiao@bjtu.edu.cn.The stability of 2-D continuous-discrete systems and time-delay systems can be determined by the Hurwitz-Schur Stability of characteristic polynomials of the...


Platforms: Matlab

The standard polynomials are not used to make it more flexible.User provide data stream and generator polynomial.


Platforms: Matlab

It takes the input in the form of two Polynomials and output in the form of Quotient . The Quotient's are stored in an array.We can also specify, that how many times the synthetic Division is required.


Platforms: Matlab

A polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. A general multivariate polynomial is captured with the syntaxp = sum( c_i * prod( x_j^p_ij ) ) + kwhere the summation is over i, the product over j, and c_i is the set of...


Platforms: Matlab