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function y=tps(r)% This is the thin-plate splineif r < 0.000000000001 y=0;else y=r^2*log(r);endfunction y=fun(point)% my target functionx=point(1);z=point(2);y=7-4*x^2+z^3;function y=interpmat(points)% this file computes the interpolation matrix[n,m]=size(points);for i=1:nipoint=points(i,:);for j=1:njpoint=points(j,:);mat(i,j)=tps(norm(ipoint-jpoint));endmat(i,n+1)=1;mat(n+1,i)=1;mat(i,n+2)=ipoint(1);mat(n+2,i)=ipoint(1);mat(i,n+3)=ipoint(2);mat(n+3,i)=ipoint(2);endy=mat;function y=righthandside(points)% find the right hand side of the interpolation system[n,m]=size(points);for i=1:ny(i)=fun(points(i,:));endy(n+1)=0;y(n+2)=0;y(n+3)=0;function y=testinterp(n,m)% this file test our interpolation routinepoints=rand(n,2);% compute interpolation matrixmat=interpmat(points);% create the right hand siderhs=righthandside(points);solution=inv(mat)*rhs';% test solutiontpoints=rand(m,2)maxerr=testsol(points,tpoints,solution);
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A 300 km, 3-phase, 50Hz transmission line has spacing as shown in Figure 2. Each phase of the line consists of a bundle of three conductors. (a) Find the total per-phase induct
Answers should be submitted in an MS Word document. Simulations should accompany answers in a separate MATLAB file. 1) Queuing Simulator: Consider a communications router that
Write a pseudo-code showing the list of steps to take for solving the given problem. In this process, you should identify the functions that are to be used in the program. Develop
User-Defined Functions which return a Single Value: We have seen the use of many functions in the MATLAB. We have used many built-in functions like fix, sin, abs, double, and
Scripts with Input and output: Placing all this together, we can implement the algorithm from the starting of this section. The following script computes and prints the area o
Use Taylor series to derive the form of the truncation error of the approximation Suppose f € C3. Given that the roundo error has the similar form as in the Forward D
The average speed of vehicles on a freeway is being studied. Assume that the standard deviation of vehicle speed is known to be 8 km/h. (a) Suppose observations on 120 vehicles
The pressure radiated by a column of in-phase monopole sources may be expressed as: Create a model (spreadsheet / MATLAB etc) for a 6 element column, where d=0.2m . Figure
Problem of a projectile being launched at an angle of O at an initial velocity ofv. The equations for the height hand horizontallocation x as functions of time t are as follo
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