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# How to Create And Use Anonymous Functions In MATLAB?

To create an anonymous function in MATLAB, you can use the `@` symbol followed by the input arguments and the body of the function. For example, to create an anonymous function that calculates the square of a number, you can write `square = @(x) x^2;`.

You can then use this anonymous function just like any other function in MATLAB by passing arguments to it. For example, you can call `square(4)` to calculate the square of 4, which would return 16.

Anonymous functions are useful when you need a small, temporary function for a specific task and do not want to create a separate function file. They are particularly handy for tasks like passing functions as arguments to other functions or creating quick calculations.

You can also create anonymous functions with multiple input arguments by separating them with commas. For example, `addition = @(x, y) x + y;` creates an anonymous function that adds two numbers.

Overall, anonymous functions can be a convenient and powerful tool in MATLAB for creating quick, temporary functions for specific tasks.

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## How to pass an anonymous function as a function argument in a custom function in MATLAB?

To pass an anonymous function as a function argument in a custom function in MATLAB, you can define the custom function with an additional input argument that accepts a function handle. Inside the custom function, you can then call the anonymous function using the function handle that is passed as the input argument.

Here is an example to demonstrate how to pass an anonymous function as an argument in a custom function in MATLAB:

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 ``` ```% Define the custom function that takes a function handle as an input argument function customFunction(fun) % Generate some input data x = 1:10; % Call the anonymous function using the function handle 'fun' y = fun(x); % Display the output disp(y); end % Define an anonymous function that squares the input squareFun = @(x) x.^2; % Call the custom function and pass the anonymous function as an argument customFunction(squareFun); ```

In this example, the custom function `customFunction` takes a function handle `fun` as an input argument. Inside the function, the anonymous function `fun` is called with some input data `x`. Finally, the output is displayed.

You can define any anonymous function and pass it as an argument to the custom function to perform different operations on the input data.

## How to create a multivariate anonymous function in MATLAB?

To create a multivariate anonymous function in MATLAB, you can follow these steps:

1. Define the variables that you want to use in your function. For example, if you want to create a function of two variables x and y, you can define them as follows:
 ```1 ``` ```syms x y ```

1. Create the anonymous function using the @(x,y) expression syntax. Replace expression with the mathematical expression that you want to use for your function. Here's an example of creating a multivariate anonymous function that calculates the sum of two variables:
 ```1 ``` ```f = @(x,y) x + y; ```

1. You can now use the anonymous function f to evaluate the function at specific values of x and y. For example, to calculate the value of the function at x=3 and y=4, you can use:
 ```1 2 ``` ```result = f(3, 4); disp(result); ```

1. You can also use the anonymous function to create a plot of the function. For example, to create a contour plot of the function over a range of x and y values, you can use:
 ```1 2 3 ``` ```[X,Y] = meshgrid(-10:0.1:10, -10:0.1:10); Z = f(X,Y); contour(X,Y,Z); ```

By following these steps, you can create and use multivariate anonymous functions in MATLAB for various mathematical calculations and visualization purposes.

## How to create a vectorized anonymous function in MATLAB?

To create a vectorized anonymous function in MATLAB, you can use the `@` symbol followed by the input variables separated by commas within parentheses, and then the expression that defines the function. Here is an example of creating a vectorized anonymous function that squares the input values:

 ```1 ``` ```f = @(x) x.^2; ```

In this example, `f` is a vectorized anonymous function that squares the input values. You can then call this function with a vector of input values:

 ```1 2 3 ``` ```input = [1, 2, 3, 4]; output = f(input); disp(output); ```

This will output `[1, 4, 9, 16]`, which are the squared values of the input vector.

## How to create an anonymous function that accepts a variable number of input arguments in MATLAB?

To create an anonymous function that accepts a variable number of input arguments in MATLAB, you can use the varargin keyword inside the function definition. Here is an example of how to create such a function:

 ```1 ``` ```myFunc = @(varargin) disp(varargin); ```

In this example, the anonymous function `myFunc` accepts a variable number of input arguments using the varargin keyword. Inside the function body, `disp(varargin)` is used to display all the input arguments passed to the function.

You can then call the anonymous function `myFunc` with any number of input arguments like this:

 ```1 ``` ```myFunc('Argument 1', 'Argument 2', 'Argument 3'); ```

This will display all the input arguments passed to the function:

 ```1 ``` ```Argument 1 Argument 2 Argument 3 ```

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