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Sarah Renee' McC English 8 cards

Cards in this deck (8)

1Do you know what the N, Z, Q sets are?{N}
{z, +}
{Q,+, .}
2What is the operation between numbers?Addition and multiplication
Closure, commutative, associative, and distributive law
3What is a Cartesian production between sets?B X B so B X B = {(b1,b2)l b1E B^b2 E B}
4What is a group in mathematics?G1: Closure, all real numbers plus real numbers equal real numbers
G2: (n+m)+e = n+(m+e); associative
G3: n+0=0 neutral
G4: n+e=0 inverse
5When two groups are homomorphic? Isomorphic?Home is a map that preserves selected structure between two algebraic structures.
Isomo is a home that is the inverse
6What is symmetryIs the invariance with respect to a group of transformations i.e. triangle example
7What is a symmetry group? Why is it important?G={C3,C3^2,E}
Is the group of all transformations under which the object is invariant with composition as the group operation.
All the laws of nature originates in symmetries. Symmetries of the laws of physics determine the properties of the parishes found in nature
8What is group representation?

Description: Flashcards on Untitled, created by Sarah Renee' McC on 02/11/2015.
Created by: Sarah Renee' McC
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