Discrete Math (Part 1)

LIST OF SYMBOLS pass off 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 universal proposition 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 not 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 inclination of an orbit of elements of a serve pock builder notation stipulate of congenital numbers narrow down 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 major power set of S n-tuple ordered pair Cartesian fruit of A and B union of A and B convergency of A and B the difference of A and B equilibrise of A union of Ai, i= 1 , 2, . . . , n ford 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 magnetised core of the functions J I and J2 product of the functions 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 subscript 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 3! 95 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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