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Built-in function for Differentiation:
The MATLAB has a built-in function, diff that returns the differences between consecutive elements in a vector. For illustration,
>> diff([4 7 15 32])
ans =
3 8 17
For a function y = f(x) here x is a vector, and the values of f '(x) can be approximated as diff(y) divided by diff(x). For illustration, the earlier equation can be written as an anonymous function.
>> f = @ (x) x .^ 3 + 2 .* x .^ 2 - 4 .* x + 3;
>> x = 1:3;
>> y = f(x)
y =
2 11 36
>> diff(y)
9 25
>> diff(x)
1 1
>> diff(y) ./ diff(x)
Writing and Reading Spreadsheet Files: The MATLAB functions xlswrite & xlsread will write to and read from the spreadsheet files which have the extension .xls. For illustratio
Error-checking for integers: illustrations of running this script as shown below: >> readoneint Enter an integer: 9.5 Invalid! Enter an integer: 3.6 Invalid
Applications of Customized Strings: Labels, Prompts, Arguments to Functions: The one of very useful application of this is to involve numbers in strings that are used to plot
Writing variables to a File: The save command is used to write variables to a file, or to append the variables to a MAT-file. By the default, save function writes to a MAT-fil
Example of Minimum and Maximum Value For matrices, the functions min and max operate column wise by the default: >> mat = randint(2,4,[1 20]) mat = 9 10 1
Creating Customized strings: There are many built-in functions which create customized strings, including blanks, char, and sprintf. We know that the char function can be u
Empty Vectors: An empty vector or in another words, a vector which stores no values, can be generated using the empty square brackets: >> evec = [] evec = [] >> lengt
Illustration of Advanced file input and output: For illustration, to refer to the third number in the first element of the cell array: >> subjdata{1}(3) ans =
Changing Dimensions: In addition to transpose operator, the MATLAB has some built-in functions which change the dimensions or configuration of matrices, involving fliplr, resh
Recursive Functions: The Recursion occurs whenever something is defined in terms of itself. In the programming, a recursive function is a function which calls itself. The Recu
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