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Mathematics for Computer Science

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“mcs” — 2017/3/3 — 11:21 — page 968 — #976<br />

968<br />

Glossary of Symbols<br />

Glossary of Symbols<br />

symbol meaning<br />

WWD is defined to be<br />

end of proof symbol<br />

¤ not equal<br />

^ and, AND<br />

_ or, OR<br />

! implies, if . . . , then , IMPLIES<br />

! state transition<br />

:P; P not P , NOT.p/<br />

! iff, equivalent, IFF<br />

˚ xor, exclusive-or, XOR<br />

9 exists<br />

8 <strong>for</strong> all<br />

2 is a member of, is in<br />

is a (possibly =) subset of<br />

6 is not a (possibly =) subset of<br />

is a proper (not =) subset of<br />

6 is not a proper (not =) subset of<br />

[<br />

S<br />

set union<br />

i2I S i union of sets S i where i ranges over set I of indices<br />

\<br />

T<br />

set intersection<br />

i2I S i intersection of sets S i where i ranges over set I of indices<br />

; the empty set, f g<br />

A complement of set A<br />

set difference<br />

pow.A/ powerset of set, A<br />

A B Cartesian product of sets A and B<br />

S n Cartesian product of n copies of set S<br />

Z integers<br />

N; Z 0 nonnegative integers<br />

Z C ; N C positive integers<br />

Z negative integers<br />

Q rational numbers<br />

R real numbers<br />

C complex numbers<br />

brc the floor of r: the greatest integer r<br />

dre the ceiling of r: the least integer r<br />

jrj the absolute value of a real number r

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