By A CooperWhen are two functions equal? A function is a kind of relation, which means it's a kind of set. So two functions being equal means,... |functions
By A CooperDefinition. A function from a set to a set is a relation which satisfies the following two conditions: , and That is, a function assigns... |functions
By A CooperWhat is a function? The notion of a function is fundamental to mathematics, but like many fundamental aspects of mathematics, its definition was not nailed... |relations
By A CooperYou've actually dealt with modular arithmetic for most of your life: the clock face represents arithmetic with modulus 12. If you've ever served in the... |relations
By A CooperWe ordinarily are completely comfortable writing things like The symbols and , though, are definitely not the same. One of them, for example,... |relations