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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)
Three-Dimensional Plots: The MATLAB has many functions which will display three-dimensional plots. Most of these functions have similar name as corresponding two-dimensional p
Program of built-in factorial function: Calling this function yields similar result as the built-in factorial function: >> fact(5) ans = 120 >> factorial(
Print an imaginary number: To print an imaginary number, the function disp will show both parts automatically: >> disp(z1) 4.0000 + 2.0000i The function fprint
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
Error-Checking for Integers: As MATLAB uses the type double by default for all the values, to check to make confirm that the user has entered an integer, the program have to c
Customizing Plots : There are numerous ways to customize figures in the Figure Window. On clicking the Plot Tools icon will bring up the Property Editor & Plot Browser, with ma
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
Script a MATLAB program which meets the following specications: The program expects an input of a two-variable real-valued continuous function f : R^2--> R The program is to cal
Complex numbers: A complex number is commonly written in the form z = a + bi here a is known as the real part of the number z, b be the imaginary part of z, and i is √-1
Illustration of Minimum and Maximum Value Both of these functions also return the index of the minimum or maximum value; when there is more than one occurrence, it returns the
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