Inline Functions in Matlab

Let me tell you about inline functions in Matlab.

So, what is an inline function? An inline function is simply a function that you define with one or more variables, f(x), and use to perform quick mathematical calculations.

To create an inline function in Matlab, all you have to do is type the function name, followed by an equals sign (=), and the keyword inline(), indicating the mathematical expression of the function in parentheses.

name = inline("expression")

For instance, suppose you want to create a function f(x,y) = x² + y².

All you have to do is type:

>> f=inline("x^2+y^2")

And voila! You have created an inline function f with two variables.

$$ f(x,y) = x^2+y^2 $$

Note. In this example, the function is associated with the variable "f," but this is just one case. You can choose any other name to associate with the function.

Once you've created the function, you can use it to perform calculations.

For example, let's say you want to find out what f(2,3) equals. Simply type f(2,3).

>> f(2,3)

The two parameters in parentheses are the values x=2 and y=3 assigned to the function.

And the function will output the value 13, which is equal to 2² + 3² = 4 + 9 = 13.

ans=13

Now, type f(3,4) and press enter.

>> f(3,4)

In this case, the values to assign to the variables of the function are x=3 and y=4.

The output result is 25 because f(3,4) = 3² + 4² = 9 + 16 = 25.

ans=25

But wait, there's more! You can also create anonymous inline functions in Matlab.

To do this, you simply use the "@" symbol and define the function with one or more variables. For example:

>> g=@(x,y) x^2+y^2

And just like that, you've created another inline function g=x²+y² with two variables.

Now you can use g to perform calculations, like so:

>> g(2,3)

It assigns the values x=2 and y=3 to the variables and performs the calculation.

The function g(x,y) will output the value 13 once again.

ans = 13

It's another way to create an inline function.

So there you have it. Inline functions in Matlab are a handy tool for performing quick mathematical calculations, and they're easy to create with just a few simple commands.