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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)
Illustration of Standard Deviation The less spread out the numbers are, therefore smaller the standard deviation will be, as it is a way of determining the spread of the data.
Function xlsread - file function: The function xlsread will read from the spreadsheet file. For illustration, to read from file just generated: >> ssnums = xlsread('ranexc
Illustration of Spreadsheet Files: This reads the numbers in a double vector variable nums and the text in a cell array txt (the xlsread function forever returns the numbers f
sprintf function: The sprintf function works precisely like the fprintf function, but rather than printing it generates a string. Here are some illustrations in which the outp
Illustration of a recursive function: illustration is of a recursive function which does not return anything, but simply prints. The below function prtwords receives a sentenc
Refer the subset of a matrix: It is also possible to refer to the subset of a matrix. For illustration, this refers to the first & second rows, second & third columns: >> m
Find Minimum and Maximum for each row To find the maximum (or minimum) for each row, the dimension of 2 (that is how a MATLAB refers to rows) can be identified as the third arg
Concatenation: The String concatenation means to join the strings altogether. Of course, as strings are merely vectors of the characters, the technique of concatenating vector
Plot Functions: Faraway, we have plotted to generate two-dimensional plots and bar to generate bar charts. We have seen how to clear the Figure Window by using clf, and how to
The variance is generally defined in terms of the arithmetic mean as: At times, though, the denominator is defined as n instead of n - 1. The default definition used by t
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