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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.
Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re
Subfunctions: Though, it is possible to have more than one function in a given M-file. For illustration, if one function calls the other, the first function would be the prima
Examine exponential function: The algorithm for the main script program is shown below: Call a function eoption to show the menu and return the user's choice. Loop
Displaying expressions: The good-looking function will show such expressions by using exponents; for illustration, >> b = sym('x^2') b = x^2 >> pretty(b)
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)
1. Write a MATLAB function (upperTriangle) using the functions you previously created to convert a matrix to upper triangular form. Start with row 1, column1. Find the row that has
Creating Cell arrays: There are many ways to create cell arrays. For illustration, we will create a cell array in which one element will store an integer, one element store ch
Illustration of if - else statement: The one application of an if-else statement is to check for errors in the inputs to a script. For illustration, a former script prompted t
Modular programs: In a modular program, the answer is broken down into modules, and each is executed as a function. The script is usually known as the main program. In orde
Referring to and Showing Cell Array Elements and Attributes: Just as with the other vectors, we can refer to individual elements of the cell arrays. The only difference is tha
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