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## polynomials script overview « 1 - 30 » of 65 scripts

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### Zernike polynomials

... ZERNFUN.m and ZERNFUN2.m compute the Zernike functions Znm ... These functions, which form an orthogonal basis on the unit ... as astronomy, optics, optometry, and ophthalmology to characterize functions and data on ... circular domain. ZERNPOL.m computes the Zernike polynomials Znm ...

### Manipulate simple polynomials

... This package does simple polynomial manipulation ... adding, multiplying, taking to powers, evaluating at ... value, taking integrals and derivatives. Nothing as sophisticated as Mathematica, but useful all ... make lots of dumb errors in multiplying out polynomials by hand ...

### Bell Polynomials of the Second Kind

... matrix of Bell polynomials ... 1The coefficients can be stored in ... lower triangular matrix. The elements of the kth column are the Taylor coefficients of the kth ... .In application, the polynomials arise in multiple contexts in combinatorics. They also ... formula for computing an arbitrary order derivative of the composition of two functionsfrac ...

### Barycentric Lagrange Interpolating Polynomials

... The first script, barylag.m, performs ... set of given data. This approach follows from ... ref inside script comments ... and is much faster than the previous script.Additionally, it has been vectorized to improve computation time ...

### Chinese Remainder Theorem for Polynomials

... equations :Remainder of ... answer is this Programme, the application of the Chinese Remainder Theorem for Polynomials.The above problem can be ... Poly =eqvt mod ... Poly =eqvt mod ... Poly =eqvt mod ... Poly =eqvt mod ...

### Calculate roots of Chebyshev polynomials

... This function will calculate and optionally scale and translate the roots of ... of arbitrary degree. Demands ... MATLAB Release: R14SP3 ...

### Hurwitz-Schur Stability Test of 2-D Polynomials

... 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 systems ... The characteristic polynomials can be expressed as ... This program derived from the main results of Ref. ... and it can test the Hurwitz-Schur Stability of 2-D Polynomials. Demands ...

### Polynomial curve fitting

... Least-square curve fitting using polynomials is probably the most basic way to perform ... some parametric regression analysis.Four basic tools for polynomial curve fitting are provided in the download package. Demands ...

### Savitzky-Golay Smoothing and Differentiation

... The Savitzky-Golay smoothing/differentiation filter ... i.e., the polynomial smoothing/differentiation filter, or the least-squares smoothing ... differentiation filters) optimally fit ... set of data points to polynomialsof different degrees. See for detail in ...

### Generalized Linear Differential Operator

... generalizd linear differential operator ... where the variable coefficients are polynomials, this script finds the new ... so that the derivatives are moved to the left. This is desireable when forming an integral equation ...

### fSGolayFilt

... fast polynomial smoothing filter for uniformly spaced signals. This implementaion offers less flexibility than other versions ... found in the MATLAB Central ... but it is optimized for speed. ... matrix. As usual for Savitzy-Golay filters, the input signal is split into chunks, which are interpolated by ...

... function polynomial_degree=adpf(data_frame)Adaptive-Degree Polynomial Filter ... Savitzky-Golay Filter)Commonly, the degree of the fitting polynomial for the ... Savitzky-Golay filter is fixed. However, the polynomial degree can vary according to the sum of squares ... of fitting residuals and the statistical testing to obtain the adaptive-degree polynomial filter. This function can be ...

### EULER

... for quickly and interactively computing with real and complex numbers and matrices, or with intervals, in the ... real, complex and interval scalars and matrices, ...

### GNU Scientific Library

... The GNU Scientific Library ... numerical library for ... programmers. It is free software under the GNU General Public License. The library provides ... wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There ...

### Generalized Laguerre polynomial

... LaguerreGen calculates the generalized Laguerre polynomial ... n, alpha}This function computes the generalized Laguerre polynomial ... If no alpha is supplied, alpha is set to zero and this function calculates ... nonnegative integer as degree level- alpha ...

### SavitzkyGolay smoothing and differentiation filter

... solutions of the Savitzky-Golay smoothing and differentiation filter using the Gram polynomials.Here only the filters for ... the central point (midpoint) are considered. However, the solutions for the initial ... or end points can be easily obtained by slightly revising the ... polynomial degrees: derivative ...

### Toolbox Alpert Multiwavelets

... The Alpert transform is ... multiwavelets transform based on orthogonal polynomials. It was originaly designed ... 246-262.The strengh of this transform is that you can transform data sampled irregularly. ... use this transform to compress data that will be seen by human eyes ...

### The Even-length Savitzky-Golay Filter

... The even-length Savitzky-Golay filter ... i.e., polynomial filter or least-squares filter) for data smoothing and differentiation. The filter coefficients ... are calculated with the recursive properties of Gram polynomials so as to avoid the inaccuracy in ...

### Functions for .NET

... We offer refined numerical procedures to either construct ... or solve an equation of one variable. The interpolation procedures provided include Newton polynomials, Lagrange ... Bicubic interpolation and procedures for find the interpolation functions coefficients. In order to solve an equation we ... provide the Van Wijngaarden-Dekker-Brent algorithm, interval bisection method, secant and false position, Newton-Raphson method and Ridders ...

### LegendreExpansion

... column vector with highest power coefficient on top, compute the coefficients of ... in terms of Legendre polynomials. Return the result as ... column vector of coefficients with highest index on top. Demands ...

### LegendreShiftPoly

... This program returns the coefficients of the shifted Legendre polynomial ... standard MATLAB notation). Like for other polynomials, LegendreShiftPoly ... can be evaluated at ... by typing polyval(LegendreShiftPoly(n),x). Based on the LegendrePoly routine by David Terr ...

### 2D Weighted Polynomial Fitting and Evaluation

... th order polynomial, weighted by ... Evaluate 2D polynomial produced by polyfitweighted2.m.Usage polyfitweighted2P ... finds the coefficients of ... containing the polynomial coefficients in ascending powers, 0th order first.P ...

... This program finds numerator and denominator polynomials such that their division equals as many terms ... as possible of the user inputted function. Demands ... MATLAB Release: R13 ...

### PARI/GP

... widely used computer algebra system designed for fast computations in number theory ... factorizations, algebraic number theory, elliptic curves... ... compute with mathematical entities such as matrices, polynomials, power series, algebraic numbers etc., and ... library to allow for faster computations. ...

### Maxima

... 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 precision numeric results by using exact ...

### IT Library

... library of mathematical, signal processing, speech processing, and communications classes and functions. It is being ... both in the communications industry and universities. The kernel of the IT library are templated vector and ... matrix classes, and lots of functions for vectors and matrices. Such ...

### polyvac

... for polynomials represented by columns of ... vector of length N:DAT=polyvac(Z,x)produces matrix DAT, so thatDAT ... Up to 10 times inctreased speed in comparison to nonvectorized version. Demands ... MATLAB Release: R12.1 ...

### latexcmd

... LaTeX file with commands named as the corresponding Matlab variables. Include the resulting LaTeX file into your ... by an include{filename}) to access the variable values. Works on scalars, ... polynomials, numeric arrays, cell arrays, and structures. Also works with most types ... latexcmd has the functionality of the similar m-files latex, matrix2latex, MAT2TEX, latex ...