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Topic: Chain (order theory)

	Ring Theory
		These two theories were studied quite independently of each other until about 1930 and as traces of the commutative theory appear first it is with this theory that we begin.
		In contrast to commutative ring theory, which as we have seen grew from number theory, non-commutative ring theory developed from an idea which, at the time of its discovery, was heralded as a great advance in applied mathematics.
		The Wedderburn theory was extended to non-commutative rings satisfying both ascending and descending finiteness conditions (called chain conditions) by Artin in 1927.
	www-groups.dcs.st-and.ac.uk /~history/HistTopics/Ring_theory.html (1890 words)

	Total order - Wikipedia, the free encyclopedia
		Thus a total order is also a partial order, that is, a binary relation which is reflexive, antisymmetric and transitive.
		The order topology may be shown to be hereditarily normal.
		While from a definition point of view, chain is merely a synonym for totally ordered set the term is usually used to describe a totally ordered subset of some partial order.
	en.wikipedia.org /wiki/Chain_(order_theory) (1325 words)

	First-order Model Theory (Stanford Encyclopedia of Philosophy/Spring 2004 Edition)
		First-order model theory, also known as classical model theory, is a branch of mathematics that deals with the relationships between descriptions in first-order languages and the structures that satisfy these descriptions.
		From another point of view, first-order model theory is the paradigm for the rest of model theory; it is the area in which many of the broader ideas of model theory were first worked out.
		These theories have the remarkable property that every infinite indiscernible sequence in any of their models is indiscernible under any linear ordering whatever; so these sequences are a kind of generalisation of bases of vector spaces.
	www.science.uva.nl /~seop/archives/spr2004/entries/modeltheory-fo (6138 words)

	Mid Frame
		The Symbolic Convergence Theory is a social theory of communication and human nature; it explains the appearance of group consciousness with its shared emotions, motives, and meanings in terms of socially shared narrations or fantasies.
		In order to fully grasp the concepts of this theory, extensive reading and research seem to be the necessary steps to get the reader to the point of understanding.
		However, through the substantial research that must be done in order to fully understand this theory, a person does come away from the situation with a greater amount of knowledge and a more clear understanding of a theory that can potentially enrich a group's success.
	www.colostate.edu /Depts/Speech/rccs/theory67.htm (1058 words)

	Bibliographical Essay, Barry Spontaneous Order: The Online Library of Liberty
		The theory of spontaneous order has a long tradition in the history of social thought, yet it would be true to say that, until the last decade, it was all but eclipsed in the social science of the twentieth century.
		The theory of spontaneous order claims that the very complexities of social affairs mean that such a rationalistic project is almost certain to be self-defeating, even if one could assume the existence of benevolent and well-intentioned legislators.
		Thus the theory of spontaneous order does not depend for its truth on the so-called 'egoistic' behavior assumptions of traditional economic theory because there remain universal co-ordination problems whether people are selfish or altruistic in their impulses.
	oll.libertyfund.org /Essays/Bibliographical/Barry0312/SpontaneousOrder.html (16168 words)

	Chain (algebraic topology) - Wikipedia, the free encyclopedia
		The boundary of a chain is the linear combination of boundaries of the simplices in the chain.
		Boundaries are cycles, so chains form a chain complex, whose homology groups (cycles modulo boundaries) are called simplicial homology groups.
		In differential geometry, the duality between the boundary operator on chains and the exterior derivative is expressed by the general Stokes' theorem.
	en.wikipedia.org /wiki/Chain_(algebraic_topology) (325 words)

	[No title]
		These theories agree well with the existing experimental data and give a clear physical explanation to the drastic effect of the chain flexibility on the transition.
		The results of our theory are in a good agreement with the experiments, and important predictions concerning the surface roughness of the monolayer has been confirmed.
		A. Tkachenko and Y. Rabin, Theory of Surface Freezing of Alkanes, Phys.
	www-personal.umich.edu /~alexei/order.html (281 words)

	Hotel Chain
		A hotel chain is a group of hotels managed together under a business arrangement known as franchising.
		CHAIN, the CECED a standard for a multi-brands home network of interactive household appliances.
		ADHD Genetic Carrier Theory (This theory also explains Asperger's) As groups formed tight knit bonds through culture in order to provide "safety in numbers", there was no incentive for an individual to leave the birth group.
	www.artistbooking.com /trips/89/hotel-chain.html (729 words)

	First-order Model Theory (Stanford Encyclopedia of Philosophy)
		In what follows, syntactic objects (languages, theories, sentences) are generally written in roman or greek letters (for example L, T, φ), and set-theoretic objects such as structures and their elements are written in italic (A, a).
		Suppose T is a complete theory in L, and Φ is a set of formulas of L which all have the free variable x.
		In fact if T is a first-order theory with infinite models, then the strongest kind of categoricity we can hope for in T is that for certain infinite cardinals κ, T has exactly one model of cardinality κ, up to isomorphism.
	plato.stanford.edu /entries/modeltheory-fo (6168 words)

	Alternative Axiomatic Set Theories (Stanford Encyclopedia of Philosophy)
		The theory of isomorphism classes of well-founded extensional relations with a top element looks like the theory of (an initial segment of) the usual cumulative hierarchy, because every set in Zermelo-style set theory is uniquely determined by the isomorphism type of the restriction of the membership relation to its transitive closure.
		In this theory, the class of natural numbers (considered as finite ordinals) is not closed and acquires an extra element "at infinity" (which happens to be the closure of the class of natural numbers itself).
		The theories motivated by essentially different views of the realm of mathematics (the constructive theories and the theories which support nonstandard analysis) we set to one side.
	plato.stanford.edu /entries/settheory-alternative (17285 words)

	WellOrdered.html (Site not responding. Last check: 2007-10-09)
		are all ordered by the usual binary relations.
		This is partial ordering but not a total ordering.
		Any Ordering of a finite set is a Well Ordering.
	www.umsl.edu /~siegel/SetTheoryandTopology/WellOrdered.html (319 words)

	The INSEAD Global Supply Chain Management Forum
		Indeed, after having improved internal operations considerably in the past decade, companies are turning to supply chain integration and coordination for the next major performance breakthrough.
		Reasons for this are the recent waves of mergers and acquisitions, the pressure for value-based management, and the corresponding focus on core activities and outsourcing of all the rest.
		High risks related to frequent new product introductions and short product lifecycles require companies to move from a sequential approach: “design-manufacture-distribute” to a 3-dimensional concurrent supply chain management approach in which the product, the process and the supply chain are designed together.
	www.insead.edu /CIMSO/SupplyChainForum/index.htm (1062 words)

	Chain
		Stmt: Chain is a new journal that investigates language and its various frames.
		It attempts to create a dialogic space through its investigation of the (im)possibility of an unmediated reception and the (im)possibility of detaching a writing from its presentational/ideological form.
		Chain 1 begins with a forum on how and why journals are created and in what ways questions of gender have informed those decisions.
	wings.buffalo.edu /epc/mags/chain (436 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		Let M be a set and A a subset of M with "=>" a preorder on M and "=>" on A a weak order=> A is a chain on M. A chain is maximal if there does not exist C' superset C s.t.
		axiom of choice => every chain in a preordered set is contained in a maximal chain.
		Zorn's Lemma: all chains in a preordered set have an upper bound => M has a maximal element.
	www.cs.cmu.edu /People/jcl/classnotes/decision_theory/chain.html (91 words)

	Order theory - Wikipedia, the free encyclopedia
		In a partially ordered set there may be some elements that play a special role.
		Another important construction is the cartesian product of two partially ordered sets, taken together with the product order on pairs of elements.
		Every partial order ≤ gives rise to a so-called strict order <, by defining a < b if a ≤ b and not b ≤ a.
	en.wikipedia.org /wiki/Order_theory (3950 words)

	chain - OneLook Dictionary Search
		Chain, -chain, chain, chain, chain : Dictionary.com [home, info]
		Phrases that include chain: daisy chain, polymerase chain reaction, chain stitch, chain store, ball and chain, more...
		Words similar to chain: chained, chaining, concatenation, iron, irons, range, strand, string, catena, chain of mountains, chemical chain, fetter, mountain chain, mountain range, range of mountains, sequence, more...
	www.onelook.com /?w=chain (529 words)

	Amazon.com: VMR Theory: Books: Robert A. Frezza (Site not responding. Last check: 2007-10-09)
		On the lam from a vicious ex-wife who'd won everything but the kitchen sink in the divorce, Ken MacKay was a journeyman crew member on Rustam's Slipper, the sorriest scow ever to move cargo between stars.
		The inhabitants of MacDonald are split into many factions who have various theories about how powerful the humans are and whether attacking us is a good idea.
		The VMR Theory only suffers from the fact that it follows a work (McLendon's Syndrome) which is impossible to top.
	www.amazon.com /VMR-Theory-Robert-Frezza/dp/0345390261 (1713 words)

	Seminars & Training offered by Lockwood Greene
		This model provides a platform for attendees to view an operating supply chain enterprise from an integrated macro perspective encompassing suppliers, manufacturing, warehousing, distribution, transportation, and customers within a classroom-training environment.
		The Supply Chain Logistics Model provides both lecture and hands-on supply chain model training to test new concepts with quantifiable measures that impact the optimization of the Lean Enterprise supply chain system.
		Each team evaluates and adjusts the roles and locations of physical assets along the entire value stream and presents their vision to the group.
	www.lg.com /supplychain (372 words)

	CS Theory at UR
		The theory group pursues an active and intensive research effort in theoretical computer science, focusing on an algorithmic approach to computational complexity and its applications in a variety of fields.
		He has long-term interests in Computational complexity theory, computational social choice, computational politics, quantum computing, probabilistic computation, approximate computation, heuristic algorithms, algorithms from complexity, simulated annealing algorithms, fault-tolerance, data compression, cryptography, circuit theory, query order, inherent complexity of inverse problems, overhead-free computation on large objects, complexity of network structure recovery problems, security, and semi-feasible computation.
		One of our close collaborations is with the theory group at the Rochester Institute of Technology: Professors Ivona Bezakova, Edith Hemaspaandra, Christopher Homan, and Staszek Radziszowski.
	www.cs.rochester.edu /u/lane/=theory-letter-html (1055 words)

	Chain Drug Review::Top Stories (Site not responding. Last check: 2007-10-09)
		Tricare is the Department of Defense (DOD) managed care program for active-duty military personnel and their families, and for military retirees and their families.
		If the manufacturers paid the rebates to retailers, ‘‘which in theory they’re supposed to do under law,’’ there would not be a need for the shift, he adds.
		‘‘Mandatory mail order will force our active-duty military personnel, retired military and their families away from their trusted community pharmacy, effectively denying them the important face-to-face patient care that community pharmacists provide,’’ says Bruce Roberts, executive vice president and CEO of the National Community Pharmacists Association.
	www.chaindrugreview.com /articles/Mail_order.html (656 words)

	String Theory...Beautiful Beaded Jewelry For All
		Click here to learn more about String Theory and what has been happening lately.
		I will still be answering emails and accepting orders for items currently on the website but new creations and custom work will be slow for a few months.
		We now have real-time/ online ordering to make your life easier.
	www.stringtheorybeads.com (119 words)

	Pokemon Gameboy - Tips - The PoJo
		Could it be that there is a psychic stone and a grass or fighting stone that allows Eevee to evolve into one of these?
		By sorting my Pokedex in Evolution-Chain order the theory holds up.
		Later, I ran across the guy who lets you give nicknames to your Pokemon, and was finally able to pick up a better fishing pole.
	www.pojo.com /videogames/GoldSilver/Journal/journal6.html (316 words)

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