Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20070623 05:23:49
Binary relationAs I’ve noted, a function can be formally defined as an ordered triple consisting of its domain, codomain, and graph: http://www.mathsisfun.com/forum/viewtop … 465#p74465. In fact, functions are special cases of the more general notion of binary relations. #2 20070623 05:34:48
Re: Binary relationInverse binary relation Last edited by JaneFairfax (20070623 05:39:12) #3 20070623 06:56:34
Re: Binary relationSomething which I personally find fun is to try to invent sets and binary operators and then investigate to see if they have any cool properties. Here is one I worked on a little, and always meant to get back to, but never have: And multiplication similarly. See if you can find any properties such as abelian, commutative, identity, heck, even well defined. "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." 