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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)
Use of logical vector: Determine how many elements in the vector vec were greater than 5, the sum function can be used on the resulting vector isg: >> sum(isg) ans =
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
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
Counting in a While Loop: Whenever it is not known ahead of the time how many values will be entered into the script, it is often essential to count the number of values which
Function fopen - file function: The permission string in the call to the fopen function identifies that the file is opened for writing to it. Just as when reading from a file,
Writing to Files: There are many lower level functions which can write to files. We will focus on the fprintf function that can be used to write a file and also to append to a
Example of Recursive functions: This definition is recursive as a factorial is defined in terms of the other factorial. There are two parts to any recursive definition: the co
Illustration of Writing variables to a file: For illustration, in the below session in the Command Window, 3 variables are generated; these are then exhibited using who. Then,
strvcat function - concatenation: The function strvcat will concatenate it vertically, that means that it will generate a column vector of the strings. >> strvcat(fir
User input in the while loop: Here is an illustration of running this script: >> readonenum Enter a positive number: -5 Invalid! Enter a positive number: -2.2
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