
	Where results make sense

Topic: Almost disjoint sets

	Disjoint sets - Encyclopedia.WorldSearch (Site not responding. Last check: 2007-10-19)
		In mathematics, two sets are said to be disjoint if they have no element in common.
		Formally, two sets A and B are disjoint if their intersection is empty, i.e.
		On sets of almost disjoint subsets of a set (University of Calgary.
	encyclopedia.worldsearch.com /disjoint.htm (247 words)

	PlanetMath: disjoint union
		This is also often called being pairwise disjoint and is a much stronger condition than that the intersection of all the images is empty.
		Of course, there are many categories where this usage is unnatural: In the category of pointed sets, the coproduct will be the disjoint union with the distinguished points identified.
		This is version 4 of disjoint union, born on 2004-03-01, modified 2004-03-23.
	planetmath.org /encyclopedia/DisjointUnion.html (214 words)

	hypergraph (Site not responding. Last check: 2007-10-19)
		For instance, a hypergraph homomorphism is a map from the vertex set of one hypergraph to another such that one edge is mapped to another edge.
		The set of automorphisms of a hypergraph H (=(X,E)) is a group under composition.
		This is not so for hypergraphs and so their study tends to be conducted using the nomenclature of set theory rather than the more pictoral descriptions (for instance 'trees','forests' and 'cycles') of graph theory.
	www.yourencyclopedia.net /hypergraph.html (498 words)

	Definition of category:character sets
		5:...g as the set of all set exists but the set of all sets that are not elements of themselves doesn't.
		In this case, two sets are almost disjoint if their intersection is fini...
		12:...ower set]], and the [[exponential object]] of the sets ''A'' and ''B'' is given by the set of all functi...
	www.wordiq.com /search/category%3Acharacter+sets.html (961 words)

	Disjoint sets -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-19)
		Formally, two sets A and B are disjoint if their (A junction where one street or road crosses another) intersection is (A container that has been emptied) empty, i.e.
		For example, the collection of sets is pairwise disjoint.
		A collection of sets is a (A vertical structure that divides or separates (as a wall divides one room from another)) partition of the set X if is a pairwise disjoint collection not containing the empty set, and if
	www.absoluteastronomy.com /encyclopedia/d/di/disjoint_sets.htm (201 words)

	Almost all Information (Site not responding. Last check: 2007-10-19)
		"Almost all" is sometimes used synonymously with "all but finitely many"; see almost.
		For example, the prime number theorem states that the number of prime numbers less than or equal to N is asymptotically equal to N/ln N.
		Occasionally, "almost all" is used in the sense of "almost everywhere" in measure theory, or in the closely related sense of "almost surely" in probability theory.
	www.articleshead.com /show_article/almost-all (183 words)

	rec.puzzles Archive (competition), part 09 of 35 (Site not responding. Last check: 2007-10-19)
		Show that the set of solutions to the equation x^2 + y^2 = 1 with x and y in F is given by (x,y) = (1,0) r^2 - 1 2r and (x,y) = (-------, -------), r^2 + 1 r^2 + 1 where r runs through the elements of F such that r^2 <> -1.
		Suppose S is a set of (p^2-1)/2 distinct nonzero elements of F with the property that for each a <> 0 in F, exactly one of a and -a is in S. Let N be the number of elements in the intersection of S with { 2a : a e S }.
		States that 3almost sure that chi(2)>4.'' States a question of L. Moser: Let R be large and S a measurable set in the circle of radius R so that no two points of S have distance 1.
	www.faqs.org /faqs/puzzles/archive/competition/part4 (8058 words)

	Math Forum: Ask Dr. Math: A Mathematical Essay
		A set of sets H has the finite intersection property, fip, if it is not possible to form the empty set by intersecting finitely many of the elements of H. Then, a filter generated by H (i.e.
		Next, consider the set M of all proper filters that are generated by H. One of the elements in M, for example, could be the set of all cofinite sets, plus all even integers, plus all supersets and intersections.
		The set R of real numbers is a subset of *R, and a member r of R is the equivalence class identified by the constant sequence r.
	www.mathforum.com /dr.math/faq/analysis_hyperreals.html (9021 words)

	Topics in Discovering Modern Set Theory. II.
		For the benefit of those readers who learned their basic set theory from a different source than our Volume I we include a short section on somewhat idiosyncratic notations introduced in Volume I. In particular, some of the material on mathematical logic covered in Chapter 5 is briefly reviewed.
		Additivity of the ideals of null sets and meager sets.
		Influence of MA on cardinal invariants: p, t, a, s, b, d, and the additivities of the ideals of meager and null sets are all equal to $2^{\aleph_0}$.
	www.math.ohiou.edu /~just/anno2.html (676 words)

	[No title]
		Certainly different sequences give different sets, and the intersection of two such sets is finite.
		We will show that C is not maximal, that is, there exists a set which does not belong to C and it intersects finitely with any set in C. Hence by Zorn's lemma, C can be extended to an uncountable collection.
		More solutions: The problem (in effect) asks for an uncountable collection of sets of natural numbers that are "almost disjoint," i.e., any two have a finite intersection.
	www.math.niu.edu /~rusin/problems-math/recpuz89 (1497 words)

	Why (Almost All) Cosmologists are Atheists (Site not responding. Last check: 2007-10-19)
		Religion has many aspects, including social and moral ones, apart from its role in describing the workings of the world; however, that role is a crucial one, and necessarily speaks to some of the same issues as science does.
		On the one hand, there is a sense in which MOND is more compact and efficient: it has been demonstrated to accurately describe the observations of a wide set of galaxies, with only a single free parameter, while the dark matter idea is somewhat less predictive on this score.
		So we would predict a world in which there were almost no nuclei at all, the nucleons and anti-nucleons having annihilated long ago, leaving nothing but an inert gas of photons and neutrinos.
	pancake.uchicago.edu /~carroll/nd-paper.html (6262 words)

	[No title]
		The set of differences \root3{n} - \root3{m} is dense in all the reals, and indeed, m can be taken to be a perfect cube, m = K^2.
		This is the third year in a row that a problem has been taken straight from Newman's book (three-coloring the plane in 1988, and the uncountable family of almost disjoint sets in 1989).
		More generally any set of matrices of the form { a I + b J ; a, b in Z } is a commuting family, no matter what the matrix J is. So it is possible to consider more families than just the two above (which correspond to the choices J=[[0,1],[1,0]] and J=[[1,0],[0,0]] respectively).
	www.math.niu.edu /~rusin/problems-math/putnam.90 (2152 words)

	Disjoint Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-19)
		Find disjoint - Your relevant result is a click away!
		However, the converse is not true: the intersection of the collection {{1, 2, 3}, {4, 5, 6}, {3, 4}} is empty, but the collection is not pairwise disjoint.
		A partition of a set X is any collection of non-empty subsets {A
	www.artisticnudity.com /encyclopedia/Disjoint (366 words)

	Evidence Sets and Contextual Genetic ALgorithms
		Evidence sets are then used in the development of a relational database architecture useful for the data mining of information stored in several networked databases.
		Evidence sets are representational artifacts, but are also constrained by subjective belief structures, which are two key elements of evolutionary constructivism.
		Self-organization is seen as the process by which systems of many components tend to reach a particular state, a set of cycling states, or a small volume of their state space, with no external interference.
	informatics.indiana.edu /rocha/dissert.html (17315 words)

	Mutually disjoint (Site not responding. Last check: 2007-10-19)
		In mathematics, two sets are said to bedisjoint if they have no element in common.
		A collection of sets is pairwise disjoint ormutually disjoint if any two distinct sets in the collection are disjoint.
		However, the converse is not true -- the intersection of the collection {{1, 2, 3}, {4, 5, 6}, {3, 4}} is empty, but thecollection is not pairwise disjoint.
	www.therfcc.org /mutually-disjoint-219513.html (185 words)

	Disjoint sets - TheBestLinks.com - Empty set, Mathematics, Set, Intersection (set theory), ... (Site not responding. Last check: 2007-10-19)
		Disjoint sets - TheBestLinks.com - Empty set, Mathematics, Set, Intersection (set theory),...
		Disjoint, Disjoint sets, Empty set, Mathematics, Set, Intersection (set theory)...
		You can add this article to your own "watchlist" and receive e-mail notification about all changes in this page.
	www.thebestlinks.com /Disjoint.html (257 words)

	[No title]
		Various suggestions from another set of people way smarter than me may be found in my notes here.
		Define set A as "evangelicals" and set B as "technologists." I contend that these sets are not mutually exclusive (disjoint) and that the value of the conditional probability P(AB) (read probability of A conditioned on B) can be quite high.
		I deduce that around 94 million of them are in set A (I note that even using the lower, 31% figure, it works out to 65 million, enough to deliver a near-landslide in a presidential election if they voted as a bloc).
	avoyagetoarcturus.blogspot.com /2002_06_01_avoyagetoarcturus_archive.html (10641 words)

	Kope's papers
		Komjáth, E. Milner: On representing sets of an almost disjoint family of sets, Math.
		Komjáth: A note on set mapping with meager images, Studia Sci.
		Komjáth: Set mappings on generalized linear continua, Coll.
	www.cs.elte.hu /~kope/pprs.html (1428 words)

	disjoint sets - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "disjoint sets" is defined.
		Disjoint Sets : Eric Weisstein's World of Mathematics [home, info]
		disjoint sets : FOLDOP - Free On Line Dictionary Of Philosophy [home, info]
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=disjoint+sets (102 words)

	Tiling problems and spectral sets
		By now you might have started noticing a pattern: all tiles considered so far are spectral sets, and moreover there is a duality between their spectra and translation sets.
		If E is a bounded and measurable set in dimension 1 which tiles the line, then the translation set is always periodic (i.e., it is a union of a finite number of lattices).
		Lagarias-Wang (1997) proved a structure theorem for 1-dimensional tilings and reduced the proof of the tiling -> spectrum implication in dimension 1 to the proof of a similar implication for sets of the form E = A + [0,1], where A is a finite subset of Z.
	www.math.ubc.ca /~ilaba/tiling.html (2058 words)

	Proceedings of the American Mathematical Society (Site not responding. Last check: 2007-10-19)
		is an almost disjoint family of subsets of
		We show how almost disjoint permutation groups can be constructed from almost disjoint families of sets.
		James E. Baumgartner, Almost-disjoint sets, the dense set problem and the partition calculus, Ann.
	80-www.ams.org.library.uor.edu /proc/1996-124-06/S0002-9939-96-03264-9/home.html (112 words)

	Scientific Facts and Christian Faith: How Are They Compatible?
		Having discussed the historical rise of modern science and some of the conflicts, the present day battles can be solved by understanding the limits of both science and theology.
		The following table illustrates the almost complete separation of the realm of theology from that of science.
		Notice that the only intersection of the two ALMOST disjoint sets (columns) is NATURE.
	www.leaderu.com /offices/o_helweg/science_andor_faith.html (2027 words)

	CSC 4170 Operations on Sets (Site not responding. Last check: 2007-10-19)
		B, is a set that contains everything that is in A, or in B, or in both.
		The cardinality of a set A, written A, is the number of elements in a set A. The powerset of a set Q, written 2
		Two sets are disjoint if they have no elements in common, that is, if A
	www.seas.upenn.edu /~cit596/notes/dave/intro2.html (110 words)

	Atlas: Almost disjoint large subsets of semigroups by Neil Hindman (Site not responding. Last check: 2007-10-19)
		The latter three notions also have simple elementary descriptions in terms of S. The central sets are especially interesting because they are partition regular (meaning that when a central set is divided into finitely many pieces, one of those pieces must be central) and are guaranteed to contain a substantial amount of combinatorial structure.
		We investigate the extent to which these large sets may be split into almost disjoint families of large sets.
		The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cajp-47.
	atlas-conferences.com /cgi-bin/abstract/cajp-47 (190 words)

Try your search on: Qwika (all wikis)