MATLAB Anonymous Functions

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:

• MATLAB Function Handles
• MATLAB Function Syntax
• MATLAB Function Arguments

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