dilly dilly

multi-dimensional coffee
2005-02-13 4:04 pm

math is great. i love math.

db and i are at ERC studying for his abstract algebra exam.

im quizing him with the flash cards he made yesterday while we were at Peet's.

homomorphism

let G, G' be two groups: then the mapping psi:G->G' is a homomorphism if psi(ab) = psi(a) psi(b) for all a,b contained in G.

monomorphism

the homomorphism psi:G->G' is called a monomorphism if psi is 1-1.

isomorphism

a monomorphism that is onto is called an isomorphism.

automorphism

an isomorphism from G-G is called an automorphism.

epimorphism

if a homomorphism is onto then it is an epimorphism.

i have no f*cking idea what im talking about.

i like it when we are studying for his class on the geometry of the universe. then we get to cut out hexagons and number the sides and touch the sides together to make spheres and toruses (aka "tori"). thats fun stuff.

plus we get to talk about fourth and fifth dimensions. i like multiple dimensions.

db says i should read flatland because its a love story about people living in a 2 dimensional universe. it sounds cute.

i wonder if people in the fourth dimension tell love stories about people living in 3 dimensional universes.

* * *

the din of ERC

7 8

previously:
weather or not - 2006-03-07
My Flight - 2006-03-02
poetree in motion - 2006-02-28
ultimate personality test - 2006-02-25
limerick e-trip - 2006-02-22