What are these functions called?

  • Thread starter r4nd0m
  • Start date
  • Tags
    Functions
In summary, mathematical functions or simply functions are used to perform a specific task or calculation based on given inputs and return an output. They have three main components: input parameters, a function body, and a return statement. Functions can also be nested, meaning one function can call another function within its code. The difference between built-in functions and user-defined functions is that built-in functions are already defined in the programming language while user-defined functions are created by the programmer for specific tasks.
  • #1
r4nd0m
96
1
Is there any name for the functions for which [tex]|f(x+y)| \leq |f(x)| + |f(y)|[/tex]?
 
Physics news on Phys.org
  • #2
r4nd0m said:
Is there any name for the functions for which [tex]|f(x+y)| \leq |f(x)| + |f(y)|[/tex]?

Look up "subadditive".
 
  • #3


These functions are called subadditive functions. They satisfy the property that the absolute value of the function's output for the sum of two inputs is always less than or equal to the sum of the absolute values of the function's output for each individual input. This property is also known as subadditivity or the triangle inequality. Subadditive functions have various applications in mathematical analysis and optimization problems.
 

What are these functions called?

These functions are called mathematical functions or simply functions.

What is the purpose of functions?

The purpose of functions is to perform a specific task or calculation based on given inputs and return an output. They help in organizing and simplifying complex programs.

What are the components of a function?

A function has three main components: input parameters, a function body, and a return statement. The input parameters are the values that are passed into the function, the function body contains the code that performs the task, and the return statement specifies the output of the function.

Can functions be nested?

Yes, functions can be nested inside other functions. This means that one function can call another function within its code to perform a specific task.

What is the difference between built-in functions and user-defined functions?

Built-in functions are already defined in the programming language and can be used directly without any additional code. User-defined functions, on the other hand, are created by the programmer to perform a specific task and can be reused multiple times in a program.

Similar threads

Replies
5
Views
389
Replies
4
Views
367
Replies
4
Views
1K
Replies
3
Views
1K
Replies
4
Views
2K
Replies
36
Views
4K
Replies
3
Views
1K
Replies
1
Views
1K
Replies
3
Views
1K
Back
Top