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Books Books 1 - 10 of 12 on Recall that sets A and B are said to be disjoint if they have no elements in common....
" Recall that sets A and B are said to be disjoint if they have no elements in common or, using the definition of intersection, if A n B = 0, the empty set. "
Schaum's Outline of Beginning Finite Mathematics
by Seymour Lipschutz, John Schiller, R. Alu Srinivasan - 2005 - 349 pages
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A Handbook of Terms Used in Algebra and Analysis

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...
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Introduction to Measure and Integration

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 #...
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Modern Algebra Essentials

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...
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Fundamentals of Real Analysis

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...
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Discrete Mathematics: for New Technology

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...
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How to Prove It: A Structured Approach

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,...
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Probability and Information: An Integrated Approach

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...
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Discrete Mathematics for New Technology, Second Edition

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...
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A Second Course in Mathematical Analysis

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. ()AuB = BuA, Af\B...
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Sets, Functions, and Logic: An Introduction to Abstract Mathematics, Third ...

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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