Anonymous functions in MATLAB are compact, single-line functions that can be defined without creating a separate file. They are particularly useful for simple operations and as arguments to other functions.

Syntax and Basic Usage

The basic syntax for creating an anonymous function in MATLAB is:

function_handle = @(input_args) expression

Here's a simple example of an anonymous function that squares a number:

square = @(x) x.^2;
result = square(5);  % result is 25

Key Features and Applications

Inline definition: No need for separate function files
Compact: Ideal for simple, one-line operations
Flexible: Can be passed as arguments to other functions
Capture variables: Can use variables from the current workspace

Multiple Input Arguments

Anonymous functions can accept multiple input arguments. Here's an example of a function that calculates the hypotenuse of a right triangle:

hypotenuse = @(a, b) sqrt(a^2 + b^2);
result = hypotenuse(3, 4);  % result is 5

Using with Built-in Functions

Anonymous functions are often used with MATLAB's built-in functions that accept function handles as arguments. For example, with the fzero function to find roots:

f = @(x) x^2 - 4;
root = fzero(f, 1);  % finds the root near x = 1

Capturing Variables

Anonymous functions can capture variables from the current workspace, allowing for dynamic function creation:

a = 5;
f = @(x) a * x^2;
result = f(2);  % result is 20

Best Practices and Considerations

Use for simple, concise operations
Avoid complex logic in anonymous functions; use regular functions for more complex operations
Be aware of variable capture behavior when using workspace variables
Consider readability when deciding between anonymous and named functions

Related Concepts

To further enhance your understanding of MATLAB functions, explore these related topics:

By mastering anonymous functions, you'll have a powerful tool for creating concise, inline operations in your MATLAB code, enhancing both readability and functionality.