jk-terminology - Oft-used notation of Prof. JLF King...

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Unformatted text preview: Oft-used notation of Prof. JLF King Jonathan L.F. King University of Florida, Gainesville FL 32611-2082, USA squash@ufl.edu Webpage http://www.math.ufl.edu/ squash/ 23 April, 2011 (at 22:51 ) Names for sets of numbers An expression such as k N ( read as k is an element of N or k in N ) means that k is a natural number; a natnum . N = naturalnumbers = { , 1 , 2 ,... } . Z = integers = { ...,- 2 ,- 1 , , 1 ,... } . For the set { 1 , 2 , 3 ,... } of positive integers, the posints , use Z + . Use Z- for the negative integers, the negints . Q = rationalnumbers = { p q | p Z and q Z + } . Use Q + for the positive ratnums and Q- for the negative ratnums. R = reals. The posreals R + and the negreals R- . C = complex numbers, also called the complexes . Phrases used in proofs WLOG : Without loss of generality . TFAE : The follow- ing are equivalent . OTForm : of the form . FTSOC : For the sake of contradiction . Use iff : if and only if . IST : It Suffices to as in ISTShow , ISTExhibit . Use w.r.t : with respect to and s.t : such that . Latin: e.g : exempli gratia , for example . i.e : id est , that is . Names for Mathematical Objects Poly(s) : polynomial(s) . Irred : irreducible . Coeff : coefficient and var(s) : variable(s) and parm(s) : parameter(s) . Expr. : expression . Fnc : function (so ratfnc : means rational function , a ratio of polynomials). Seq : sequence . Soln : solution . Propn : proposition . CEX : Counterexample . Eqn : equation . RhS: RightHand Side of an eqn or inequality. LhS: lefthand side . Sqrt : square-root , e.g, the sqrt of 16 is 4. Cts : continuous and cty : continuity . Ptn : partition , but pt : point , as in a fixed-pt of a map....
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This note was uploaded on 01/26/2012 for the course MHF 3202 taught by Professor Larson during the Fall '09 term at University of Florida.

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jk-terminology - Oft-used notation of Prof. JLF King...

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