Order embedding - Factbites

Order embedding - Factbites
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Topic: Order embedding

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	Order-embedding - Wikipedia, the free encyclopedia
		In mathematical order theory, an order-embedding is a special kind of monotone function, which provides a way to include one partially ordered set into another.
		An order isomorphism can be characterized as a surjective order-embedding.
		Formally, given two partially ordered sets (S, ≤) and (T, <=), a function f: S → T is an order-embedding if f is both order-preserving and order-reflecting, i.e.
	en.wikipedia.org /wiki/Order-embedding (663 words)

	Category:Order theory - Wikipedia, the free encyclopedia
		Order theory is a branch of mathematics that studies various kinds of binary relations that capture the intuitive notion of a mathematical ordering.
	en.wikipedia.org /wiki/Category:Order_theory (59 words)

	EE290N Lecture 9 Notes
		Ordered signal process,actor,token,dataflow process,firing signal,firing,order preserving,order embedding,order isomorphism,partially ordered set,prefix,prefix order,poset.
		The output signal preserves the ordering of the tokens of the input signals, but there is no ordering between tokens of different input signals.
		A total order of the tokens of all the signals of the process would cause an overspecification of the system.
	ptolemy.eecs.berkeley.edu /~eal/ee290n/lecture9/lec9.html (568 words)

	The Thrackle Problem
		According to the order and the orientation with which the fourth line crosses the first and second line, the embeddings are classified (by us) as zero, plus or minus.
		A C-program generated all thrackle embeddings of cycles of order 6 - 10 and analyzed which sequences of configurations occur.
		If a cycle of order N has a thrackle embedding, then so does the cycle of order N+2.
	www.thrackle.org /thrackle.html (1332 words)

	spatial-esop05.txt
		I believe that the ability of embedding 2nd order logic in spatial logic is very surprising and if the results holds the paper should be definitely accepted.
		But now we must ask whether the other embedding, that of a specific instance of first-order-logic-with-* into second-order logic, is as significant as the paper's title claims.
		-The embedding of 2nd order logic in this logic is surprising and non-obvious.
	cag.lcs.mit.edu /~vkuncak/papers/rejected/spatial-esop05.txt (1672 words)

	First-order Model Theory
		The elements of C are the ordered pairs (a,b) where a is an element of A and b is an element of B.
		Then there are an elementary extension D of B and an elementary embedding e of C into D such that (i) for each element a of A, e(a) = a, and (ii) if c is an element of C but not of A, then e(c) is not in B.
		We say that e is an elementary embedding of A into B if e is an elementary map and its domain is the whole domain of A.
	plato.stanford.edu /entries/modeltheory-fo (6179 words)

	Basics.m
		The result is a list of edges in the order they are seen." Diameter::usage = "Diameter[g] returns the diameter of graph g." Distance::usage = "Distance[g, v, w] returns the distance between vertex v and w in graph g.
		FromBiadjacencyMatrix[adj, emb] gives the graph embedding emb." FromEdges::usage = "FromEdges[e] returns a graph on the least possible number of vertices having edges e and a circular embedding.
		The result is a list of edges in the order they are seen.
	abel.math.umu.se /~phl/Mathematica/Basics.m (1557 words)

	Embedding an Interpreted Language Using Higher-Order Functions and Types (Abstract)
		Embedding an Interpreted Language Using Higher-Order Functions and Types (Abstract)
		Lua-ML is a new API that uses higher-order functions and types to simplify the use of an embedded interpreter.
		But existing interpreters are designed for embedding into C code.
	www.eecs.harvard.edu /~nr/pubs/embed-abstract.html (128 words)

	BEEM Products - Embedding Capsules and Capsule holder
		Embedding Capsule Size 3 produces blocks 5.6mm OD Polyethylene, hinged cap.
		Their embedding capsule remains a standard product for routine EM.
		Preformed capsule tips in the shape of a truncated pyramid with a flat 1 x 1 mm face at the end reduce trimming time and produce cleaner surfaces.
	www.tedpella.com /embed_html/beem1.htm (260 words)

	Embeddings of General Blowups of Abelian Surfaces (ResearchIndex)
		Abstract: this paper we study for ff = fi = 1 the very ampleness and a natural version of higher order embedding of blown up abelian surfaces.
		Embeddings of General Blowups of Abelian Surfaces (1999)
		This is a special case of a more general project [15] we carry out at the time.
	citeseer.ist.psu.edu /szemberg99embeddings.html (388 words)

	p.c
		/* * This program generates every thrackle embedding of a cycle of given order * and lists the types of sequences of 4-paths that occur.
		Two vertices are connected by an * edge, if in the embedding the corresponding spots/intersections are * adjacent.
		* * Lower level: With a thrackle embedding associate a planar embedding of the * following simple graph: The set of vertices is the collection of spots * plus the collection of intersections.
	www.thrackle.org /p.c (763 words)

	Amazon.com: Extending and Embedding Perl: Books
		Most of the available documentation on extending and embedding perl is written from the prospective of the core perl developers for core perl developers.
		Extending and Embedding Perl is as it boldly states on the cover: "The definitive guide to XS, embedding, and the Perl internals".
		It does an excellent job of explaining the hairy details of working with Perl at the C level, whether etending Perl (the bulk of this book), embedding it in other apps, or hacking the guts.
	www.amazon.com /exec/obidos/tg/detail/-/1930110820?v=glance (2494 words)

	order from FOLDOC
		Nearby terms: optimism « OR « order-embedding « ordering » ordinal » ordinate » organicism
		Nearby terms: optimise « optimism « OR « order-embedding » ordering » ordinal » ordinate
	lgxserver.uniba.it /lei/foldop/foldoc.cgi?order (58 words)

	MySQL Lists: internals: bk commit into 5.0 tree (sergefp:1.2005) BUG#13126
		stripped +6 -0 BUG#13126: (Invalid join orders produced for nested joins, wrong query results) Before join execution: Assign each non simplified away or confluent nested join a bit number; For each JOIN_TAB, remember the which nested joins it is a part of.
		stripped +162 -3 BUG#13126: (Invalid join orders produced for nested joins, wrong query results) Before join execution: Assign each non simplified away or confluent nested join a bit number; For each JOIN_TAB, remember the which nested joins it is a part of.
		On execution: Before attempting to add a JOIN_TAB to partial join order, check that we're not "leaving" any nested join before we've put all of its tables into the join order.
	lists.mysql.org /internals/30814 (670 words)

	A Higher-Order Embedding of a Logic of Objects (ResearchIndex)
		A Higher-Order Embedding of a Logic of Objects
		A Higher-Order Embedding of a Logic of Objects (ResearchIndex)
		29 Java: Embedding a programming language in a theorem prover - Nipkow, von Oheimb et al.
	citeseer.ist.psu.edu /416755.html (338 words)

	Alex Jones Presents Infowars.com to Fight the New World Order --'Embedding' CIA Agents Within Local Police Depts
		Alex Jones Presents Infowars.com to Fight the New World Order --'Embedding' CIA Agents Within Local Police Depts
		The Campaign to Demilitarize the Police is organizing to stop the bill, and has been targeting the bill's author, Rep. Carolyn Maloney (D-NY), with protest actions.
		H.R., making its way through Congress, would authorize the federal government to "embed" CIA agents within local police departments to blur the distinction between local cops and feds.
	www.infowars.com /print/ps/embedding_cia.htm?language=printer (71 words)

	Read about Category:Order theory at WorldVillage Encyclopedia. Research Category:Order theory and learn about Category:Order theory here!
		binary relations that capture the intuitive notion of a mathematical ordering.
		Research Category:Order theory and learn about Category:Order theory here!
	encyclopedia.worldvillage.com /s/b/Category:Order_theory (55 words)

	order-embedding from FOLDOC
		Nearby terms: Orbit « Orca « Order Code Processor « order-embedding » ordering » ordinal » ordinate
	wombat.doc.ic.ac.uk /foldoc/foldoc.cgi?order-embedding (45 words)

	Flat Embedding Molds
		[Flat Embedding Mold, Single End, Blue] [Flat Embedding Mold, Single End, Translucent]
		[Small Flat Embedding Mold, Single End (thicker)] [110 Flat Embedding] [21 Cavity Single End]
	www.tedpella.com /embed_html/pelcoflat.htm (234 words)

	Groups with Word Problem in NP, and Higman Embeddings
		The well known Higman embedding theorem says that a group has a recursive presentation if and only if this group is embeddable into a finitely presented group.
		In the case when the initial group might have torsion, the solvability of the order problem is essential because it is easy to costruct a finitely generated group with solvable power problem but unsolvable order problem, which is not embeddable into any group with solvable conjugacy problem (hint: conjugated elements must have the same order).
		It is easy to see using Magnus' embedding that for every normal subgroup N of a free finitely generated group F if F / N has word problem in NP (resp.
	math.vanderbilt.edu /~msapir/Talk1/node6.html (234 words)

	Citebase - On Spatial Conjunction as Second-Order Logic
		These embeddings show that the satisfiability of formulas in first-order logic with spatial conjunction is equivalent to the satisfiability of formulas in second-order logic.
		The embedding into spatial conjunction also has useful consequences: because a restricted form of spatial conjunction in two-variable logic preserves decidability, we obtain that a correspondingly restricted form of second-order quantification in two-variable logic is decidable.
		We construct an embedding from first-order logic with spatial conjunction into second-order logic, and more surprisingly, an embedding from full second order logic into first-order logic with spatial conjunction.
	citebase.eprints.org /cgi-bin/citations?id=oai:arXiv.org:cs/0410073 (669 words)

	Introduction to the IFF-ONT
		A concept lattice consists of: a collection of instances, a collection of types, a collection of formal concepts, an embedding map from instances to concepts, an embedding map from types to concepts, an order relation on concepts, and meet and join operators that map subcollections of concepts to single concepts.
		Each first order type language L has an associated truth classification, whose collection of instances mod(L) is the class of models of the language, whose collection of types expr(L) is the set of expressions of the language, and whose incidence is satisfaction.
		Lattice order is reverse subset inclusion on the theorem sets of closed theories.
	suo.ieee.org /IFF/metalevel/lower/ontology/ontology/version20021205.htm (5523 words)

	Quantum topological invariants, gravitational instantons and the topological embedding
		The topological embedding, a theoretical framework for constructing physical amplitudes that are well defined order-by-order in perturbation theory around instantons, is explicitly applied to the computation of the correlation functions of Dirac fermions in a punctured gravitational background, as well as to the most general QED and QCD amplitude.
		Quantum topological invariants, gravitational instantons and the topological embedding
		Certain topological invariants of the moduli space of gravitational instantons are defined and studied.
	stacks.iop.org /0264-9381/14/2031 (5523 words)

	ORDINAL REAL NUMBERS 2
		universal embedding property for the category of linearly ordered fields, that is every linearly ordered field has an monomorphic image in some field of the hierarchy.The hierarchy of transfinite real numbers is known to have, also, this property.Such hierarchies we call universal embedding hierarchies.
		It is surprising that in one of the consequences of the theory of ordinal real numbers, it is proved a far more advanced and complete result for the whole category of order types that has as corollary the previous important and elementary arithmetisation.
		Although more advanced, the result remains in the context of elementary theory of ordinal real numbers.In this result any order type can be “discretised” or “arithmetised” through the ordinal numbers.
	www.softlab.ntua.gr /~kyritsis/PapersInMaths/InfinityandStochastics/OR2.htm (5523 words)

	Extending Models of Second Order Predicate Logic to Models of Second Order Dependent Type Theory (ResearchIndex)
		Apart from the construction being of interest by itself, this also suggests a way of proving the completeness of the formulasas -types embedding from second order predicate logic to second order dependent type theory.
		We describe a method for constructing a model of second order dependent type theory out of a model of classical second order predicate logic.
		Under this embedding, formulas are interpreted as types, and derivability (of a formaula) in the logic should correspond to inhabitation...
	citeseer.lcs.mit.edu /35499.html (425 words)

	Abstracts of papers by Peter J. Cameron
		After an introduction to first-order logic and a discussion of which graph properties are first-order, we consider various logical concepts such as aleph_0-categoricity and homogeneity for graphs, and present a couple of theorems about finite graphs requiring logical techniques in their proofs.
		An early result on this is Greene's theorem asserting that the weight enumerator of the code is a specialisation of the Tutte polynomial of the matroid.
		Observing that the cycle index is the probability generating function for cycle structure, we recover the earlier theorem, as well as a recent result of Parker.
	www.maths.qmul.ac.uk /~pjc/abstracts.html (425 words)

	Extending Vs. Embedding
		Embedding is inserting calls into your C or C++ application after it has started up in order to initialize the Python interpreter and call back to Python code at specific times.
		Your developers are already probably angry at you for embedding, given that they can't use the other libraries and applications they're used to having at their disposal in Python.
		As I said, you can use embedding as a stopgap measure, but it is no substitute for clean code.
	twistedmatrix.com /users/glyph/rant/extendit.html (1988 words)

	Truetype embedding-enabler : DMCA threats
		Embedding bits do not require the application of information, process, or treatment in order to gain access to the work.
		Editable embedding and installable embedding, as you know, permits a person to transmit a copy of a font to another party simply by using it in a document and transmitting the document over the Internet or by copying on a floppy disk.
		Embedding bits are not a "technological measure that effectively control access to a work" under 17 U.S.C. Embedding bits do not fit the definition in 1201(a)(3)(B).
	www.andrew.cmu.edu /~twm/embed/dmca.html (4257 words)

	Technical Notes for Scipoxy 812 Embedding Medium
		Twenty or more pieces can be embedded in one large block, sectioned, stained, and studied under the light microscope in order to select the piece that is most representative.
		Spurr AR: A low viscosity epoxy resin embedding medium for electron microscopy.
		Twenty to thirty cubes of tissue were embedded in 12 x 6 x 5 mm JB-4 molding trays with block holders and polymerized overnight at 70ºC. Sections were cut dry at 1-2.5 um thickness on a Sorvall-type JB-4 "Porter-Blum" microtome (#H1500) using Ralph-Bennett knives (11) at a clearance angle of 1-2 degrees.
	www.ebsciences.com /papers/spurr_ep.htm (1905 words)

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