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Topic: Quantifier

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	PlanetMath: quantifier
		A quantifier is a logical symbol which makes an assertion about the set of values which make one or more formulas true.
		The scope of a quantifier is the portion of a formula where it binds its variables.
		This is version 9 of quantifier, born on 2002-08-25, modified 2005-09-05.
	planetmath.org /encyclopedia/Quantifier.html (0 words)

	Quantification - Wikipedia, the free encyclopedia
		The traditional symbol for the universal quantifier "all" is "∀", an inverted letter "A", and for the existential quantifier "exists" is "∃", a rotated letter "E".
		It has three elements: A mathematical specification of a class of objects via syntax, a mathematical specification of various semantic domains and the relation between the two, which is usually expressed as a function from syntactic objects to semantic ones.
		Quantifiers have scope and a variable x is free if it is not within the scope of a quantification for that variable.
	en.wikipedia.org /wiki/Quantifier (0 words)

	LINGUIST List 5.114: Quantifier scope
		Point 3: It is a fact of logic that when generalized quantifiers are replaced by universal and existential ones, readings in which both NPs have equal scope become equivalent to readings in which one of the NPs has wider scope than the other.
		In particular, a quantifier prefix consisting of branching existential and universal quantifiers is logically equivalent to a quantifier prefix in which the existential quantifier has wide scope over the universal quantifier.
		Accordingly, Reading II of sentence (1) may be represented in either of two ways: (a) assigning the existential quantifier wide scope over the universal quantifier, or (b) with branching existential and universal quantifiers.
	www.linguistlist.org /issues/5/5-114.html (0 words)

	quantifier from FOLDOC (Site not responding. Last check: 2007-10-11)
		The quantifier applies to, or binds, variables which stand as the arguments of predicates.
		The quantifier asserting, "there are some" or "there is at least one".
		For example, the natural translation of (x)Px is, "All things have property P." The "all" in the universal quantifier refers to all the objects in the domain of the interpretation (universe of discourse), not to all objects whatsoever.
	www.swif.uniba.it /lei/foldop/foldoc.cgi?quantifier (0 words)

	Quantifier-Negative Semantics
		Logic suggests that the unambiguous formulation with a quantifier (like 'all') and a negative (like 'not') should depend on their order, with the earlier being the more general: Not all the people who left were angry.
		Semantically, quantifiers (all, some, any, much, each, every, few, a few, lot(s), 1, 2, 3, etc.) must bind nominals of some sort, which makes them a special sort of adjective in many cases, and thus they may appear modifying nominals: All the people arrived on time.
		Semantically, >> quantifiers (all, some, any, much, each, every, few, a few, lot(s), >> 1, 2, 3, etc.) must bind nominals of some sort, which makes them >> a special sort of adjective in many cases, and thus they may appear >> modifying nominals: >> >> All the people arrived on time.
	www-personal.umich.edu /~jlawler/aue/q-neg.html (0 words)

	QEPCAD - Quantifier Elimination by Cylindrical Algebraic Decomposition (Site not responding. Last check: 2007-10-11)
		QEPCAD is an implementation of quantifier elimination by partial cylindrical algebraic decomposition due orginally to Hoon Hong, and subsequently added on to by many others.
		QEPCAD B version 1, the "B" designating a substantial departure from the original QEPCAD and distinguishing it from any development of the original that may proceed in a different direction.
		Quantifier elimination algorithms allow us to answer questions about semi-algebraic sets, which are subsets of real n-dimensional space whose boundaries are defined by polynomial equations.
	www.cs.usna.edu /~qepcad/B/QEPCAD.html (0 words)

	LINGUIST List 17.2099: Syntax, Semantics: Pafel (2006)
		"Quantifier scope is a challenge to linguistic theory as it is a phenomenon
		phenomena such as quantifier scope are constructed and interpreted.
		Chapter 3, the quantifier scope properties of complex sentences in German are
	linguistlist.org /issues/17/17-2099.html (0 words)

	Thomas Sturm: Activities: ACA02 (Site not responding. Last check: 2007-10-11)
		Effective quantifier elimination procedures for the reals allow to solve problems that can be encoded into corresponding first-order formulas including ordering constraints.
		Besides real quantifier elimination, there are also quantifier elimination systems available for other domains like the complex numbers or p-adic numbers.
		Variants of quantifier elimination that have turned out to be practically applicable.
	www.fmi.uni-passau.de /~sturm/activities/ACA02 (0 words)

	ESE Inc. Process Quantifier (Site not responding. Last check: 2007-10-11)
		And because the Process Quantifier uses no moving parts, it keeps returning on that investment as the lowest maintenance analyzer available.
		By reading the entire product flow, the Process Quantifier is able to more accurately identify variations in the product mix, immediately alerting the operator so maximum yield can be maintained.
		Utilizing the proven lab analysis capabilities of the Food Quantifier, ESE Analytical has developed the Process Quantifier to bring in-line capabilities plant-wide with equal reliability.
	www.ese1.com /pq.html (0 words)

	Quantifier -- from Wolfram MathWorld
		(called the universal quantifier, or sometimes, the general quantifier).
		However, there also exist more exotic branches of logic which use quantifiers other than these two.
		Hall, C. and O'Donnell, J. "Computing with Quantifiers." §3.2 in Discrete Mathematics Using a Computer.
	mathworld.wolfram.com /Quantifier.html (85 words)

	Branching quantifier - Wikipedia, the free encyclopedia
		In classical logic, quantifier prefixes are linearly ordered such that the value of a variable x bound by a quantifier Q depends on the value of the variables
		It is also powerful enough to define the quantifier
		The other following quantifiers are definable by Q
	en.wikipedia.org /wiki/Branching_quantifier (0 words)

	Quantifiers - Glossary Definition - UsingEnglish.com
		A quantifier, as its name implies, expresses quantity.
		Quantifiers can be a single word or a phrase and are used with nouns.
		They can be used with both a countable or an uncountable noun to express amount or quantity.
	www.usingenglish.com /glossary/quantifier.html (0 words)

	quantifier - OneLook Dictionary Search
		Tip: Click on the first link on a line below to go directly to a page where "quantifier" is defined.
		Quantifier : Glossary of English Grammar Terms [home, info]
		Phrases that include quantifier: existential quantifier, quantifier elimination, branching quantifier, generalized quantifier, floating quantifier, more...
	www.onelook.com /cgi-bin/cgiwrap/bware/dofind.cgi?word=quantifier (0 words)

	The Existential Quantifier (Site not responding. Last check: 2007-10-11)
		The existential quantifier has not yet been implemented in SNePS 2.
		Whenever an existentially quantified variable y is bound within the scope of universally quantified variables
		The existential quantifier that binds y can then be eliminated.
	www.cs.buffalo.edu /~jsantore/snepsman/node43.html (0 words)

	Luna Innovations Incorporated Medical Products
		We deliver high-quality and cutting-edge products to aid clinicians in improving their standard of care.
		Luna Innovations Incorporated is proud to have been awarded the 2006 Frost and Sullivan North American Patient Monitoring Technology of the Year Award for the innovative design and development of the EDAC™ QUANTIFIER blood circuit monitor.
		San Diego, CA Luna Innovations will exhibit the EDAC™ Quantifier.
	www.embolidetection.com (0 words)

	Food quantifier 100 (via CobWeb/3.1 planetlab2.isi.jhu.edu) (Site not responding. Last check: 2007-10-11)
		The Food Quantifier will analyze Milk, Cream, Ice Cream Mix, Yogurt Mix, Cultured Products, Butter, Whey, Processed Cheese and Hard Cheese.
		Control Point Analysis is essential for profitability in today's highly competitive market place.
		The Food Quantifier offers an affordable process control tool that can be placed where production requires rapid results.
	www.geneq.com.cob-web.org:8888 /catalog/en/food_quantifier_100.html (0 words)

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