notation - ISYE 2028 A and B Notation and Prerequisites Dr....

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ISYE 2028 A and B Notation and Prerequisites Dr. Kobi Abayomi January 8, 2009 1 Introduction Just a brief review of some notation you should know and some short questions. We often use roman letters { X,Y,x,y. .. } for things we hope to measure or model; greek letters { α,β,θ } for quantities we’ll infer from directly measured quantities. 2 Summation Notation We work with indexed vectors alot, like: X = ( X 1 ,X 2 ,...,X n ) or x = ( x 1 ,x 2 ,...,x n ) or any stuff = ( stuff 1 ,stuff 2 ,...,stuff n ) n X i =1 stuff i = stuff 1 + stuff 2 + ··· + stuff n 1
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is translated as: Start with stuff 1 and add it to stuff 2 and keep on adding until stuff n . The stuff to do ( n times) can be as simple to do as taking a bunch of numbers { x 1 ,x 2 ,...x 3 } and dividing it by the total number, i.e. n X i =1 x i n = 1 n n X i =1 x i = x 1 + x 2 + ··· + x n n or something more complicated, like taking each of those numbers, subtracting some other number, squaring the result, and dividing that by
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This note was uploaded on 11/08/2009 for the course ISYE 2028 taught by Professor Shim during the Spring '07 term at Georgia Institute of Technology.

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notation - ISYE 2028 A and B Notation and Prerequisites Dr....

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