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Showing posts with the label polynomial

How to get interploated values corresponding to the query point in MatLab? - spline -- MatLab

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 How to get interploated values corresponding to the query point in MatLab? - spline -- MatLab How to get interploated values corresponding to the query point in MatLab?  [Ans] spline [Description] spline is abbrevaition of sample point linearly interpolation. (I guess.) (1) s  = spline( x , y , xq ) ; It will return  a vector of interpolated values  s  corresponding to the query points in  xq . The values of  s  are determined by cubic spline interpolation of  x  and  y . (2) pp = spline(x,y) ; It will return a piecewise polynomial structure for use by  ppval  and the spline utility  unmkpp . more details on: Cubic spline data interpolation - MATLAB spline (mathworks.com) code clear clc help spline ; %spline example1 %fig(a) x = [0 1 2.5 3.6 5 7 8.1 10]; y = sin(x); xx = 0:.25:10; yy = spline(x,y,xx); plot(x,y, 'o' ,xx,yy) %spline example2 %fig(b) x = -4:4; y = [0 .15 1.12 2.36 2.36 1.46 .49 .06 0]; cs = spline...

How to get an approximately value with number data with specified polynomial in MatLab? - polyfit -- MatLab

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 How to  get an approximately value with number data with specified polynomial in MatLab? - polyfit -- MatLab How to  get an apprixmate value with number data with specified polynomial in MatLab? [Ans] polyfit [syntax] [<p>,<S>,<mu>] = polyfit(<x>,<y>,<n>) ; [description] [<p>,<S>,<mu>] = polyfit(<x>,<y>,<n>) ; It will return approximately value with x-axis data <x> and y-axis data <y> which is represented with degree n of the polynomial. <p> coefficient of polynomial <S> structure of polynomial <mu> population of mean in distribution more details about mu (one of Greek Letters) on: μ - Wiktionary Mu (letter) - Wikipedia statistics - How do I calculate mu and sigma? - Mathematics Stack Exchange more details on: Polynomial curve fitting - MATLAB polyfit (mathworks.com) code clear clc x = linspace(0,4*pi,10); y = sin(x); p = polyfit(x,y,7) %{ p = -0.0001 0.0028 -0.0...

How to multiple or divide two polynomials in MatLab? - conv - deconv -- MatLab

How to multiple or divide two polynomials in MatLab? - conv - deconv -- MatLab How to multiple or divide two polynomials in MatLab? [Ans] conv:multiple deconv:divide [Description] conv Convolution and polynomial multiplication w = conv( u,v )   It will return the  convolution  of vectors  u  and  v . If  u  and  v  are vectors of polynomial coefficients, convolving them is equivalent to multiplying the two polynomials. w = conv( u,v , shape )   It will return a subsection of the convolution, as specified by  shape . For example,  conv(u,v,'same')  returns only the central part of the convolution, the same size as  u , and  conv(u,v,'valid')  returns only the part of the convolution computed without the zero-padded edges. deconv Deconvolution and polynomial division [ q , r ] = deconv( u,v )   It will deconvolve a vector  v  out of a vector  u  using long division, and returns th...

How to get polynomial by the given root in MatLab? - poly -- MatLab

 How to get polynomial by the given root in MatLab? - poly -- MatLab How to get polynomial by the given root in MatLab? [Ans] poly [description] (1) <pr_coef>=poly(<pr_vec>); It  will return coefficients of polynomial with specified roots of polynomial. <pr_coef>  coefficients of polynomial. vector type. <pr_vec> specified roots of polynomial. vector type. (2) <pr_M>=poly(<M>) Let M is be a N by N matrix. pr_M is a row vector with N+1 elements which are the coefficients of the characteristic polynomial. It is computed by det(lambda*eye(size(M)) - M). <pr_M> pr_M is coefficients of characterist polynomial. vector type. <M> roots of polynomial Square-Matrix type. more details on: Polynomial with specified roots or characteristic polynomial - MATLAB poly (mathworks.com) code: clear clc pr=[1:6] %root of polynomial poly1=poly(pr) %cooefficient of polynomial given by pr. fprintf( "1\n" ); %{ output: pr = 1 2 3 4 ...