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	Negligible set - Wikipedia, the free encyclopedia
		As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored when studying the integral of a measurable function.
		Negligible sets define several useful concepts that can be applied in various situations, such as truth almost everywhere.
		In order for these to work, it is generally only necessary that the negligible sets form an ideal; that is, that the empty set be negligible, the union of two negligible sets be negligible, and any subset of a negligible set be negligible.
	en.wikipedia.org /wiki/Negligible_set (568 words)

	Station Information - Null set
		In measure theory, a null set is a set whose measure is zero, so that it is negligible for the purposes of the measure in question.
		Thus, null sets may be interpreted as negligible sets, defining a notion of almost everywhere.
		Null sets play a key role in the definition of the Lebesgue integral: if functions f and g are equal except on a null set, then f is integrable if and only if g is, and their integrals are equal.
	www.stationinformation.com /encyclopedia/n/nu/null_set.html (492 words)

	Negligence Law (Site not responding. Last check: 2007-10-07)
		In the realm of criminal common law, criminal negligence is a legal term of art for a state of mind which is careless, inattentive, neglectful, willfully blind, or reckless; it is the ''mens rea'' part of a crime which, if occurring simultaneously with the ''actus reus'', gives rise to criminal liability.
		Some distinguish recklessness from negligence; recklessness is a 'malfeasance' that increases the danger of an act occurring; whereas criminal negligence is a 'misfeasance or 'nonfeasance,'merely allowing otherwise avoidable dangers to manifest.
		Gross criminal negligence is behaviour which involves a "wanton disregard for human life." Of course, in all these cases if the actus reus or bad act never occurs then there is no crime as both elements are necessary under the criminal common law to sustain a guilty conviction.
	www.wwwtln.com /finance/132/negligence-law.html (1041 words)

	Null set -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-07)
		A nonmeasurable set is considered null if it is a (A set whose members are members of another set; a set contained within another set) subset of a null measurable set.
		Thus, null sets may be interpreted as (additional info and facts about negligible set) negligible sets, defining a notion of (additional info and facts about almost everywhere) almost everywhere.
		Null sets play a key role in the definition of the (additional info and facts about Lebesgue integral) Lebesgue integral: if functions f and g are equal except on a null set, then f is integrable if and only if g is, and their integrals are equal.
	www.absoluteastronomy.com /encyclopedia/n/nu/null_set.htm (692 words)

	Nowhere dense set - Encyclopedia, History, Geography and Biography
		For example, the set of rational numbers, as a subset of R has the property that the closure of the interior is empty, but it is not nowhere dense; in fact it is dense in R, which is the opposite notion.
		Every subset of a nowhere dense set is nowhere dense, and the union of finitely many nowhere dense sets is nowhere dense.
		That is, the nowhere dense sets form an ideal of sets, a suitable notion of negligible set.
	www.arikah.net /encyclopedia/Nowhere_dense (420 words)

	Nowhere dense set -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-07)
		For example, the set of (An integer or a fraction) rational numbers, as a subset of R has the property that the closure of the interior is empty, but it is not nowhere dense; in fact it is (additional info and facts about dense) dense in R, which is the opposite notion.
		Every subset of a nowhere dense set is nowhere dense, and the (The state of being joined or united or linked) union of (additional info and facts about finite) finitely many nowhere dense sets is nowhere dense.
		That is, the nowhere dense sets form an ideal of sets, a suitable notion of (additional info and facts about negligible set) negligible set.
	www.absoluteastronomy.com /encyclopedia/N/No/Nowhere_dense_set.htm (402 words)

	Negligible set: Definition and Links by Encyclopedian.com - All about Negligible set
		Neligible sets define several useful concepts that can be applied in various situations, such as truth almost everywhere.
		This idea can be applied to any infinite set; but if applied to a finite set, every subset will be negligible, which isn't a very useful notion.
		Let X be a topological space, and let a subset be negligible if it is of first category.
	www.encyclopedian.com /ne/Negligible-set.html (538 words)

	Negligible set (Site not responding. Last check: 2007-10-07)
		In mathematics, a negligible set is a set that is smallenough that it can be ignored for some purpose.
		As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored whenstudying the integral of a measurable function.
		In order for these to work, it's generally onlynecessary that the negligible sets form an ideal ; that is, the empty set is negligible,the union of two negligible sets is negligible, and any subset of a negligible set is negligible.
	www.therfcc.org /negligible-set-283933.html (535 words)

	Half Life 2 - Tweak Guide
		If set to 0 this effect is removed, but performance is increased without a noticeable drop in image quality.
		If set to 0 such lighting is removed and while performance is improved the screen is almost completely fl from lack of this diffuse (ambient) lighting and hence is not recommended.
		If set to 0, all areas of pre-rendered lighting will be blocky and unrealistic, but performance will be improved slightly at the cost of realism.
	fr33man.altervista.org /HL2guida/HL2_8.htm (3265 words)

	Method and apparatus for extracting parameters for an electrical structure - US Patent 6106563 (Site not responding. Last check: 2007-10-07)
		A set of network parameters is obtained that represents pure mode responses for the electrical structure (410).
		The processor is responsive to the input 135 to process each distinct set of network description parameters to obtain mode specific model parameters, and to generate mode independent model parameters based on a combination of the respective mode specific model parameters.
		Sets of network parameters are obtained which represent pure mode responses of an electrical structure, based on a definition of network parameters in which mode conversion responses of electrical structure are negligible, step 310.
	www.patentstorm.us /patents/6106563.html (2998 words)

	ANSI Standard Burdens
		These burden sets are of the portable type, supplied in beige finished metal housings with engraved bakelite terminal boards.
		All the current transformer burden sets are adjusted for a 5 ft. pair of #12 closely spaced copper conductors.
		With the Type BSP-6 Knopp Standard Burden Set, a pair of closely spaced #14 copper leads as much as 20 ft. in length may be used with negligible effect on the burden provided by the set.
	www.knoppinc.com /ansi.htm (690 words)

	Null set: Definition and Links by Encyclopedian.com - All about Null set
		In measure theory, a null set is a set which is neglible for the purposes of the measure in question.
		Together, these facts show that the m-null sets of X form a sigma-ideal[?] on X.
		, all 1-point sets are null, and therefore all countable sets are null.
	www.encyclopedian.com /nu/Null-set.html (497 words)

	[FrSh:406] (Site not responding. Last check: 2007-10-07)
		In particular, several results depended on the fact that it is consistent to suppose that every countable relatively pointwise compact set of Lebesgue measurable functions is `stable' in Talagrand's sense; the point being that stable sets are known to have a variety of properties not shared by all pointwise compact sets.
		In the present paper we present a model of set theory in which there is a countable relatively pointwise compact set of Lebesgue measurable functions which is not stable, and discuss the significance of this model in relation to the original questions.
		A feature of our model which may be of independent interest is the following: in it, there is a closed negligible set Q subseteq [0,1]^2 such that whenever D subseteq [0,1] has outer measure 1 then the set Q^{-1}[D]= {x:(exists y in D)((x,y) in Q)} has inner measure 1.
	www.math.rutgers.edu /pub/shelah/all/406_abs.html (209 words)

	The Delaney Paradox And Negligible Risk
		Under the FFDCA, EPA sets legally enforceable limits, or "tolerances", for pesticide residues that are expected to remain in or on foods treated with pesticides.
		Tolerances are set for pesticide residues remaining in raw agricultural commodities under the provisions of section 408 of the FFDCA, while "food additive tolerances" are set for residues remaining in certain processed foods under section 409 of the FFDCA.
		A uniform "negligible risk" rather than a "zero risk" standard for carcinogens in food, consistently applied, would best enable EPA to improve the overall safety of the food supply, and would result in only modest reductions in the benefits of pesticide use to farmers.
	pmep.cce.cornell.edu /issues/delaney-negrisk.html (2002 words)

	Naturalistic Ethic
		In other words, an almost-universal law is a law that would be universal if a negligible set of cases were ignored.
		That is not to say that the negligible set should contain few situations, period; only a minute part of all possible situations.
		It may be argued that those many situations are still within a negligible set compared to the totality of all situations in which it is theoretically possible to practice self-sacrifice, and thus self-sacrifice as a universal law is not moral.
	www.public.iastate.edu /~yelenam/natethic.html (891 words)

	II. Geometry of Functions
		Consider the set of functions which are continuous on an interval a
		Such a negligible set is called a null set.
		Although we shall first concentrate on the set (2.8) as a basis for a vector space of functions, the other sets of orthonormal functions (2.5)-(2.7) and (2.9) will be useful later for the same purpose.
	www.mathphysics.com /pde/ch2wr.html (3085 words)

	Attorney Negligence (Site not responding. Last check: 2007-10-07)
		With the counting measure, only the empty set is m-null (i.e.
		Moreover, a countable subset has the same counting measure as the full set, namely infinity.
		The correct measure to use assigns 0 to any countable set but infinity to any uncountable set.
	www.wwwtln.com /finance/11/attorney-negligence.html (1176 words)

	f sigma set
		set) is a countable union of closed sets.
		In metrizable spaces, every open set is an F
		Sigma Objektiv Set AF 18-50 mm 3.5-5.6 DC / AF 55-200 mm 4.0-5.6 DC für...
	www.fact-library.com /f_sigma_set.html (91 words)

	An XML element set consistency language
		In other cases not documented here, it may be necessary to select a set of attributes or a set of subelements.
		The source and destination sets for our consistency rule should look similar to this (contained in parenthesis is the set relative to the element, according to our rule, i.e.
		What we would like to do instead is to work on a destination set containing only those courses relevant to this studyplan, that is only the courses that belong to the same programme undertaken by the student.
	xml.coverpages.org /cc-techOverview.html (2365 words)

	Risk Characterization
		This phase determines the probability of an adverse effect to a human population by a toxic substance and outlines permissible exposure levels from which standards of exposure are set.
		Standards of exposure are set based on adverse health effects, costs and benefits, socio-economic considerations, and technological limits of detection.
		These values are used to set regulatory standards for safe drinking water maximum contaminant levels, permissible exposure limits in the workplace, and pesticide residue limits in food and feed products.
	extoxnet.orst.edu /faqs/risk/char.htm (889 words)

	The Swinging Spring: A Simple Model
		The linear normal mode structure of the system is analysed, the procedure of initialization is described and the existence and character of the slow manifold is discussed.
		The concepts of initialization, filtering and the slow manifold can be clearly illustrated by considering the dynamics of a simple mechanical system governed by a set of ordinary differential equations.
		In Section 2 the Hamiltonian equations for the elastic pendulum are set down.
	www.maths.tcd.ie /~plynch/Publications/AOD_Paper_abs.html (952 words)

	Thierry De Pauw's Home Page (Site not responding. Last check: 2007-10-07)
		I am also sharing some dreams with G. David about proving existence of area minimizing sets in some classes of constraints modeling a boundary condition (we refer to the work of R.E. Reifenberg for homological conditions).
		Also, the right domains of integration are now the sets of finite perimiter in the sense of De Giorgi.
		It turned out that it is undecidable within ZFC whether or not there is an integral representation of the action on the jump part as the flux of a vectorfield through the jump set.
	www.math.ucl.ac.be /membres/depauw/research.html (571 words)

	MOMPOU Complete Piano Works BRILLIANT CLASSICS 6515 [JW]: Classical CD Reviews- June 2004 MusicWeb(UK) (Site not responding. Last check: 2007-10-07)
		I knew he’d recorded a large swathe of his music in old age but had never grasped the full implications of exactly how much, though I was aware of the Ensayo re-releases (until recently available in the USA but not in Britain).
		These are, however, well nigh negligible when set beside so much strength of purpose, so much colour and subtlety of phrasing.
		Excepting the tape distortion this is a notably fine set of four important CDs.
	www.musicweb-international.com /classrev/2004/Jun04/Mompou_piano.htm (968 words)

	Computational Depth and Reducibility - Juedes, Lathrop, Lutz (ResearchIndex) (Site not responding. Last check: 2007-10-07)
		Roughly, an infinite binary sequence x is defined to be weakly useful if every element of a non-negligible set of decidable sequences is reducible to x in recursively bounded time.
		It is shown that every weakly useful sequence is strongly deep.
		...known that the Martin Lof random set of Theorem 5.
	citeseer.lcs.mit.edu /juedes94computational.html (900 words)

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