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Unformatted text preview: Useful Mathematical Symbols and Expressions Symbol AB f () : A B  [a, b] [a, b) P (A) / 0 Name belongs to for all there exists subset product of sets function mapping given that closed interval rightopen power set empty set infinity and or Example xA xR xR AX Meaning x belongs to a set A for all x belonging to R there exists x belonging to R A is a subset of X the set of all pairs (a,b) with a A and b B {x Ra x b} {x Ra x b} x is greater or equal to a and smaller or equal to b x is greater or equal to a and smaller than b the set of all subsets of A / by definition 0 P (A) for all sets A not union intersection
n=k n=1 n=k k=1 the union of sets S1 through Sk the intersection of sets S1 through Sk least upper bound greatest lower bound finite dimensional vector space ...,1,0,1,.... sup inf R Z supremum infimum ndimensional Euclidean space the set of integers summation symbol product symbol Table 1: Various mathematical symbols with examples and explanations. Note: the above definitions are often used in control theory, estimation, and mathematics literature, however their meanings may vary. c Paul Otanez, 2003, potanez@cornell.edu 1 ...
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 Spring '08
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 Math, Sets

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