SetTheoryReviewSlides

SetTheoryReviewSlides - Set Theory Review Definitions Set...

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1 FRE 6083 – Quantitative Methods in Finance - Copyright F. Novomestky 2007 Set Theory Review Definitions Set Operations 2 FRE 6083 – Quantitative Methods in Finance - Copyright F. Novomestky 2007 Set Theory - Definitions Set = a collection of objects Symbols for sets É Upper case block letters A, B, C, E,F, M, S É Upper case italic letters A, B, C, E, F, M, S Examples É S 1 = {heads, tails} É S 2 = {1, 2, 3, 4} É S 3 = {car, apple, pencil} Set B is a subset of A = every element of B is an element of A. This is written as B A. 3 FRE 6083 – Quantitative Methods in Finance - Copyright F. Novomestky 2007 Set Theory - Definitions We consider sets (actually subsets) whose elements are taken from a largest set called a universe or space S . Examples of Spaces É Role a die = {f 1 , f 2 , f 3 , f 4 , f 5 , f 6 } É Stocks traded on NYSE É Publicly traded mutual funds Specification É Enumeration: {f 1 , f 2 , f 3 , f 4 , f 5 , f 6 } É By property : {n | n is a positive integer}
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4 FRE 6083 – Quantitative Methods in Finance - Copyright F. Novomestky 2007 Set Theory - Definitions Sets are represented by uppercase letters If x is an element of A, then we write x
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SetTheoryReviewSlides - Set Theory Review Definitions Set...

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