How do I google this? (f: A -> B)

[Pithikos]

I want to find information regarding what f: A $$\rightarrow$$B is. What shall I google? I am not even sure this has anything to do with sets :S

 

[micromass]

Here you go: http://en.wikipedia.org/wiki/Function_(mathematics)

 

[discrete*]

I want to find information regarding what f: A $$\rightarrow$$B is. What shall I google? I am not even sure this has anything to do with sets :S

You could put "a function f from A to B" of "a function f:A->B" into Google, however this is a very general statement. I would imagine you'll get a whole slew of search results, because that expression is used nearly everywhere in mathematics.

Is it a specific function that you're interested? If so you need to consider its defining properties. If you put a "f:A->B such that ..." (where ... represents the defining property of such a function) into Google, you'll likely narrow the search. The Wiki article that micromass posted is very comprehensive and easy to understand -- I've used it many times.

 

[Landau]

It does not necessarily have to do with sets. It could represent an arrow (also called morphism) between objects in a category. A priori "f:A->B" has no meaning. The context should make clear what the author is talking about.

 

[blue_raver22]

To find information on f: A -> B, you can simply google "f: A -> B" or "mapping from A to B". This concept is often used in mathematics and computer science to represent a function that maps elements from set A to set B. It is also commonly used in other fields such as economics and biology. If you are unsure about the connection to sets, you can also search for "function notation" or "set theory" to gain a better understanding of the topic.