| A. G. Howson - Mathematics - 1972 - 238 pages
...AB, is the set of all those elements which belong to both A and B, ie A n B = {xe X\x EA and xe B}. **A and B are said to be disjoint if they have no elements in common,** ie-. if AnB = 0. (b) The union of A and B, written AUB or A +B, is the set of all those elements which... | |
| S. J. Taylor - Mathematics - 1973 - 266 pages
...a;isinZbutnotin^a,soa;e X buta;isnotin U .Ea;thatis,a;eX- U Ett. ae/ ae/ (iii) Similar to (ii).] Two sets .4 , £ **are said to be disjoint if they have no elements in common;** that is, if A n £ = 0 . A disjoint class is a class # of sets such that any two distinct sets of #... | |
| Mathematics - 2015 - 87 pages
...is called a transposition. 4.1 1 .7 DISJOINT CYCLES Two cycles (a, a2 . . . a) and (¿>, i>2 . . . **b^ are said to be disjoint if they have no elements in common.** Thus, cycles (123) and (456) are disjoint, whereas cycles (761) and (123) are not disjoint. 4.1 1 .8... | |
| James Foran - Mathematics - 1991 - 496 pages
...when it has been determined that there are no elements satisfying the description which defines A. **Two sets A and B are said to be disjoint if they have no elements in common;** that is, if A n B = 0. A collection of sets {E } . is said to be a collection GС i -. '_ -•xof pairwise... | |
| Rowan Garnier - Technology & Engineering - 1992 - 696 pages
...{x: xeAi or xeA2 or . . . or xeAn] = (x: x belongs to at least one set Ar, r = 1, . . ., «}. Sets /I **and B are said to be disjoint if they have no elements in common** ; that is, if A n B = 0. In a Venn diagram this is represented by drawing the regions representing... | |
| Daniel J. Velleman - Mathematics - 1994 - 309 pages
...Q) A-(/' AQ) (P AG) v (QA -P) Figure 7 F F F F F T T T T F T T T T F F mean that A is a subset of B. **A and B are said to be disjoint if they have no elements in common.** Note that this is the same as saying that the set of elements they have in common is the empty set,... | |
| David Applebaum - Computers - 1996 - 212 pages
...combinations of its elements. Then 0 is the subset we get when we take away all the elements of S. The subsets **A and B are said to be disjoint if they have no elements in common,** that is, if Pictorially, the Venn diagram in Fig. 3.7 demonstrates disjoint sets. Exercise: Find pairs... | |
| Rowan Garnier, John Taylor - Mathematics - 2001 - 749 pages
...i or xe /42 or . . . or xe /4n } = (,v : .v belongs to at least one set Ar, r = 1 n}. Sets y4 and 6 **are said to be disjoint if they have no elements in common;** that is, if A n B = 0. In a Venn diagram this may be represented by drawing the regions representing... | |
| J. C. Burkill, H. Burkill - Mathematics - 2002 - 526 pages
...belong to both A and В is called the intersection of Л and В and is denoted by A n 5. The sets Л, 5 **are said to be disjoint if they have no elements in common,** ie if A(]B = 0. Theorem 1.11. The following identities hold for any sets A, B, C. (ï)AuB = BuA, Af\B... | |
| Keith Devlin - Mathematics - 2003 - 160 pages
...B)} In Figure 3. 1 , the set A n B is represented by the region which is doubly shaded. Two sets A , **B are said to be disjoint if they have no elements in common:** that is, if Af~\B = 0. Once we have fixed a universal set we can introduce the notion of the complement... | |
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