Discrete Math (Part 1)

LIST OF SYMBOLS lapse 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 cosmopolitan 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 key out of elements of a serve get dressed builder notation assemble of congenital numbers sink 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 o f T S is a proper subset of T cardinality of S the origin set of S n-tuple ordered pair Cartesian ingathering of A and B union of A and B ware of A and B the difference of A and B balance of A union of Ai, i= 1 , 2, . . . , n intersection 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 function! s 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

If you want to get a full essay, visit our page: write my paper