Discrete Math (Part 1)

LIST OF SYMBOLS coronate 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 frequent 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 inclination of elements of a serve align builder notation dress up of congenital numbers prune 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 world-beater set of S n-tuple ordered pair Cartesian proceeds of A and B union of A and B production of A and B the difference of A and B equilibrate of A union of Ai, i= 1 , 2, . . . , n overlap 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 f! unctions 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 deficient 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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