Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Precalc Craziness 1
Some crazy equation sorts and such and such
| Question | Answer |
|---|---|
| (N,+) | Abelian Monoid |
| (N, x) | Abelian Monoid |
| (Z, +) | Abelian Group |
| (Z, x) | Abelian Monoid |
| (Q, +) | Abelian Group |
| (Q^x, x) | Abelian Group |
| (Q^q, o) | Monoid |
| (Q^q, +) | Abelian Group |
| (Q^q, x) | Abelian Monoid |
| (P, o) | Monoid |
| (P, +) | Abelian Group |
| (P, x) | Abelian Monoid |
| (A^o, o) | Group |
| (A, +) | Abelian Group |
| (A, x) | Nothing |
| What is necessary to be a Monoid? | Closure, Associativity and Identity |
| What is necessary to be a Group? | Closure, Associativity, Identity and Inverses |
| What is necessary to be Abelian? | Commutative Property |
| What does superscript "o" stand for in (A^o, o)? | It means you have to take out the constant functions or else the functions won't have inverses (because no matter what your input is in f(x)=5, the answer will be 5, not the ID) |
| What does superscript "x" stand for in (Q^x, x)? | It means you have to take zero out of the set of rational numbers, because it doesn't have an inverse. |
Created by:
grotle_grovyle
Popular Math sets