Discrete Math (Part 1)

LIST OF SYMBOLS slip away IC LOGIC SYMBOL p p 1\ q pvq P (J)q p-+q p ++ q p=.q T F P(xJ,... ,xn) VxP(x) 3xP(x) 3!xP(x) p{S}q MEANI G N negation of p conjunction of p and q disjunction of p and q exclusive or of p and q the signification p implies q biconditional of p and q equivalence of p and q tautology contradiction in terms propositional make for usual quantification of P(x) existential quantification of P(x) uniqueness quantification of P(x) therefore incomplete correctness of S x is a member of S x is non a member of S PAGE 3 4 5 6 9 22 24 24 32 34 36 37 63 323 4 SETS XES x fj S {aJ,... ,an} {x I P(x)} R S=T SC;T SeT lSI peS) (aJ,... ,an) (a, b) AxB AUB AnB A-B 0 Z z+ Q N i=J n U Ai n Ai A(J)B A n inclining of elements of a serve roach builder notation locate of congenital numbers establish of integers set of positive integers set of sage numbers set of real numbers set comparison the empty (or null) set S is a subset of T S is a proper subset of T cardinality of S the post set of S n-tuple ordered pair Cartesian harvest of A and B union of A and B hybridisation of A and B the difference of A and B complement of A union of Ai, i= 1 , 2, . . . , n hybridization of Ai, i= 1 , 2, . . .

, n symmetric difference of A and B 1 12 1 12 1 12 1 12 1 12 1 12 1 13 1 13 1 13 1 13 1 14 1 14 1 15 1 16 1 16 1 17 1 17 1 18 12 1 121 1 23 1 23 1 27 128 131 i=J TOP IC FUNCTIONS SYMBOL J (a ) J : A ---+ B JI+ h Jd2 J (5) LA (S ) J -I(x ) J og LxJ fx l MEANI G N value of the control J at a function from A to B charismatic core of the functions J I and J2 product of the func! tions J I and 12 moving-picture show of the set 5 under J identity function on A inverse of J composition of J and g floor function of x ceiling function of x term of {ai} with inferior n sum of ai, a2, ... , an sum of aa over a E PA GE 1 33 1 33 1 35 135 1 36 138 1 39 1 40 1 43 1 43 1 50 1 53 1 56 1 62 1 80 1 85 1 89 1 89 1 92 216 217 395 20 1 20 1 202 202 203 203 215 217 219 247 247 248 25 1 25 1 252...If you want to loaf a full essay, order it on our website: OrderCustomPaper.com

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