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Interpolation and extrapolation:
In most cases, it is desired to estimate values other than at the sampled data points. For illustration, we may want to estimate what the temperature was at 2:30 p.m., or at 1 p.m. Interpolation is estimating the values in between recorded data points. The Extrapolation is estimating outside the bounds of the recorded data. The one way to do this is to fit a curve to the data, and use this for the estimations. The Curve fitting is finding the curve which "best fits" the data.
The Simple curves are polynomials of various degrees. Therefore, curve fitting includes finding the best polynomials to fit the data-for illustration, for a quadratic polynomial in the form ax2 + bx + c, it means finding the values of a, b, and c which results the best fit. Finding the best straight line which goes through data would mean finding the values of a and b in the equation ax + b.
Plotting from a Function: The following function creates a Figure Window as shown in figure, which shows various types of plots for similar y vector. The vector is passed as a
Technique to creating this structure: An alternative technique of creating this structure, that is not as efficient, includes using the dot operator to refer to fields in the
ischar function: The ischar function return the logical true if an array is a character array, or logical false if not. >> vec = 'EK127'; >> ischar(vec) ans =
Passing Structures to Functions: The whole structure can be passed to a function, or separate fields can be passed. For illustration, here are the two distinct versions of a f
Tracing of Square matrices: The trace of a square matrix is the addition of all the elements on the diagonal. For illustration, for the preceding matrix it is 1 + 6 + 11 + 16,
Write a program to examine exponential function: We will write a program to examine the value of e and the exponential function. It will be a menu-driven. The menu options wil
Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)
Illustration of Variable scope: Running this function does not add any of variables to the workspace, as elaborated: >> clear >> who >> disp(mysum([5 9 1]))
Illustration of Subfunctions: This is an illustration of running this program: >> rectarea Please enter the length: 6 Please enter the width: 3 For a rectan
Replacing a string - function strrep: The function strrep finds all the occurrences of a substring within the string, and substitutes them with a new substring. The order of a
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