Tuesday, May 7, 2013

advanced analysis


orang sibuk pasal keputusan pru13, aku sibuk2 siapkan assingments tertunggak.. biarlah..biarlah hati dan suasana mula reda baru aku berbicara..

Definition — a precise and unambiguous description of the meaning of a mathematical term.  It characterizes the meaning of a word by giving all the properties and only those properties that must be true.
Theorem — a mathematical statement that is proved using rigorous mathematical reasoning.  In a mathematical paper, the term theorem is often reserved for the most important results.
Lemma — a minor result whose sole purpose is to help in proving a theorem.  It is a stepping stone on the path to proving a theorem. Very occasionally lemmas can take on a life of their own (Zorn’s lemmaUrysohn’s lemmaBurnside’s lemmaSperner’s lemma).
Corollary — a result in which the (usually short) proof relies heavily on a given theorem (we often say that “this is a corollary of Theorem A”).
Proposition — a proved and often interesting result, but generally less important than a theorem.

esok quiz kut!

sumber: http://divisbyzero.com/2008/09/22/what-is-the-difference-between-a-theorem-a-lemma-and-a-corollary/