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Talk:Majoring in Mathematics (view source)
Revision as of 14:09, February 27, 2012
, 14:09, February 27, 2012→Homomorphism: new section
[http://www.youtube.com/watch?v=NOrlIOm6eGM 2+2=5? (Lawrence Krauss vs William Lane Craig)] [[User:Conservative|Conservative]] 20:33, 26 February 2012 (EST)
[http://www.youtube.com/watch?v=NOrlIOm6eGM 2+2=5? (Lawrence Krauss vs William Lane Craig)] [[User:Conservative|Conservative]] 20:33, 26 February 2012 (EST)
== Homomorphism ==
A homomorphism is a function/relation that maps one algebraic structure to another. It does not equate them, so I removed it because its definition was erroneous. A comparison illustrates why the original definition is incorrect. If <math>f(x) = x+2</math>, then <math>f(3) = 5</math>. This is a relation that maps <math>\mathbb{R}</math> to <math>\mathbb{R} + 2</math>. It does not, however, equate them. Even though <math>f(x)</math> maps 3 to 5, it is not stating that <math> 3 = 5</math>. This is a simple example, but hopefully it illustrates the proper definition. Thank you! [[User:KevinDavis|Kevin Davis]] <sup>[[User talk:KevinDavis|Talk]]</sup> 09:09, 27 February 2012 (EST)