Hello Off-Topic. The purpose of this thread is to provide an interesting discussion in which we exchange our own custom, "unconventional" mathematical functions.
A function is simply a operation that receives input data and provides us with interconnected output data.
The "set"(Container) of all of the actual input data is known as the "Domain." The set of all of the actual output data is known as the "Range."
Here is an example:
F : (D + 1) ==> R
"F" is the letter that we use to identify our function. It is the function's "name."
"D" is the Domain, which is the set containing our input values. "R" is merely the set of all actual output values. " + 1" specifies that I would like to add 1 to each of the Domain's input values.
F(3), for example, would equal F : {3} ==> {4}.
That should be sufficient.
Here is my function:
W : {w} ==> {|w|}
"W" is intended to indicate the term "word." The "||" refers to the length of the input word. The function is intended to accept any input word and output the length of that particular word.
Remember the functional notation that we will use:
N : D ==> R
Where "N" refers to the identifier of the function. "D" refers to the input values, and "R" refers to the objective output values.
If you would like to describe the alterations to the input/output values more explicitly, utilize the "{letter/number}" symbol pair format instead of "D" and/or "R."
Now then, proceed with your custom functions. |