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Topic: Extensive quantities

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extensive quantities

dimensionless quantity

Intensive quantities

Infinitesimal quantity

Quantity Is Job 1

conserved quantity

bill of quantities

printing quantity

quantity change

time dependent quantity

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	Extensive quantity - Wikipedia, the free encyclopedia
		In the natural sciences, an extensive quantity (also extensive variable or extensive parameter) is a physical quantity, whose value is proportional to the size of the system it describes.
		Extensive quantities are the counterparts of intensive quantities, which are intrinsic to a particular subsystem and remain constant regardless of size.
		Thus, extensive quantities are homogeneous functions (of degree 1) with respect to {A
	en.wikipedia.org /wiki/Extensive_quantity (203 words)

	Physical quantity - Wikipedia, the free encyclopedia
		Usually, the symbols for physical quantities are chosen to be a single lower case or capital letter of the Latin or Greek alphabet written in italic type.
		For example, the recomended symbol for a physical quantity of mass is m, and the recomended symbol for a quantity of charge is Q.
		Some derived physical quantities have no dimension and are said to be dimensionless quantities.
	en.wikipedia.org /wiki/Physical_quantity (847 words)

	Mathematics in Scotland
		Extensive quantities are based on the logic of part-whole relations, and this exerts a significant influence on teaching strategy.
		With extensive quantities, the language of fractions or ratios is never necessary to describe the quantity, e.g.
		Extensive quantities are expressed numerically by one value; intensive quantities must be expressed numerically by two values.
	www.psych.strath.ac.uk /DevEd/maths/mathsscotland.htm (1998 words)

	1. AXIOMS OF INTUITION.
		Phenomena, therefore, cannot be apprehended, that is, received into empirical consciousness otherwise than through the synthesis of a manifold, through which the representations of a determinate space or time are generated; that is to say, through the composition of the homogeneous and the consciousness of the synthetical unity of this manifold (homogeneous).
		An extensive quantity I call that wherein the representation of the parts renders possible (and therefore necessarily antecedes) the representation of the whole.
		But, as regards the quantity of a thing (quantitas), that is to say, the answer to the question: "How large is this or that object?" although, in respect to this question, we have various propositions synthetical and immediately certain (indemonstrabilia); we have, in the proper sense of the term, no axioms.
	www.rbjones.com /rbjpub/philos/classics/kant/kant055.htm (940 words)

	Binary Phase Equilibria Glossary (Site not responding. Last check: 2007-10-30)
		The chemical potential of a component is defined as the derivative of the (extensive) Gibbs free energy with respect to the mass (or number of moles, either definition is good as long as we are consistent) of the component in the phase, at constant temperature, pressure, and masses of all the other components.
		To be distinguished from extensive quantities, which scale linearly with the mass of the system, like mass, enthalpy, volume, etc. The ratio of two extensive quantities is an intensive quantity.
		Volume is an extensive quantity, but it can be converted into the intensive equivalents molar volume by dividing by the number of moles or specific volume by dividing by mass.
	expet.gps.caltech.edu /~asimow/glossary.html (3692 words)

	Measurement Portal @ Quantities.org (Site not responding. Last check: 2007-10-30)
		Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things like as heavy and light, long and short, broad and narrow, small and great, or much and little.
		The essential part of mathematical quantities is made up with a collection variables each assuming a set of values and coming as scalar, vectors, or tensors, and functioning as infinitesimal, arguments, independent or dependent variables, or random and stochastic quantities.
		The magnitude of an intensive quantity does not depend on the size, or extent, of the object or system of which the quantity is a property whereas magnitudes of an extensive quantity are additive for parts of an entity or subsystems.
	www.quantities.org (2484 words)

	Semantic Aspects of Quantity
		The process of assigning size to an adjectival quantity described by a count noun is an act we normally call counting, while the process of assigning size to some attribute of an entity described by a mass noun is the process we normally call measurement.
		Not apparent from the structure of continuous adjectival quantity, but nonetheless central to the measurement act is the need for a judgment to be made about the adequacy of the precision for the context at hand.
		In this case, when the referents of the two quantities are disjoint and there exists a superordinate class to which both referents belong, we can extend the operation of addition with nominal number to adjectival quantity in a straightforward fashion.
	www.gse.harvard.edu /~faculty/schwartz/semantic.htm (5005 words)

	COGNITIVE PROCESSES AND PRODUCTS IN PROPORTIONAL REASONING
		The first concerns the ratio of two extensive values given with respect to a common unit of measure, whereas the second concerns two dissimilar extensive quantities A and B, that is, two extensive quantities whose measures cannot be given in a common unit (distance and time for example).
		The second kind of schema refers to the ratio of two non-mixable quantities A and B; that is, two extensive quantities whose measures cannot be given in a common unit.
		An EWS is useful to represent the ratio (i.e., rate) between the two extensive quantities which are not mixable into a common whole because of the measure spaces from which they are derived.
	education.umn.edu /rationalnumberproject/85_4.html (1163 words)

	2. ANTICIPATIONS OF PERCEPTION.
		That is to say, the real in a phenomenon has always a quantity, which however is not discoverable in apprehension, inasmuch as apprehension take place by means of mere sensation in one instant, and not by the successive synthesis of many sensations, and therefore does not progress from parts to the whole.
		Such quantities may also be called flowing, because synthesis (of the productive imagination) in the production of these quantities is a progression in time, the continuity of which we are accustomed to indicate by the expression flowing.
		It is worthy of remark, that in respect to quantities in general, we can cognize a priori only a single quality, namely, continuity; but in respect to all quality (the real in phenomena), we cannot cognize a priori anything more than the intensive quantity thereof, namely, that they have a degree.
	www.rbjones.com /rbjpub/philos/classics/kant/kant056.htm (1305 words)

	[No title]
		ones whose energies are extensive variables; non-relativistic gravitational systems, whose energies are not extensive, because of the long range of the Newtonian interactions; and Black Holes, which arise as a consequence of relativistic gravitational collapse of stars.
		This is the model we shall employ, since it is needed for the mathematically sharp characterisation of macroscopic phenomena such as thermodynamic singularities, phase coexistence and irreversibilty.
		At the quantum statistical level, Bekenstein introduced a {\it subjective} element into the theory, suggesting that this entropy was an information-theoretic quantity, that represented the external observer's ignorance of the state of the BH.
	www.ma.utexas.edu /mp_arc/papers/94-207 (2476 words)

	BBC \| British Council teaching English - Reading - Extensive reading (Site not responding. Last check: 2007-10-30)
		This is an 'extensive reading approach' and involves students reading long texts or large quantities for general understanding, with the intention of enjoying the texts.
		The objective of an extensive reading programme is to encourage reading fluency, so students should not be stopping frequently because they do not understand a passage.
		Setting up an extensive reading programme should not only lead your students to improve their reading proficiency and other language skills, but will hopefully enable them to take pleasure in reading for its own sake.
	www.teachingenglish.org.uk /think/read/extensive.shtml (1214 words)

	Translation of Grassmann's Ausdehnungslehre Section 1 (Site not responding. Last check: 2007-10-30)
		In the case where the system of units consists just of the absolute unit, 1, the quantities generated by it are called numerical quantities, not extensive quanitites.
		, that is, for extensive quantities generated by a single unit; however, that unit must be primitive.
		To subtract one extensive quantity from another generated by the same system of units means to subtract the coefficients of the first quantity from those of the second:
	www.maths.utas.edu.au /People/dfs/Papers/GrassmannTranslation/node4.html (634 words)

	[No title]
		Their name for your "extensive" is "lextensive", which I think is due to Bill Lawvere; it means "lex and extensive", where "lex' is used to mean "having all finite limits".
		For centuries, mathematical philosophy has distinguished between extensive quantities and intensive quantities, for example in thermodynamics of inhomogeneous bodies, volume, mass, energy, and entropy on the one hand are distinguished from pressure, density, temperature on the other.
		An intensive quantity type is a contravariant functor from a category of space which also takes coproducts to products ; but more: intensive quantities usually act linearly on extensive quantities, lending them (not only a linear but also a) multiplicative structure which is also preserved by the contravariant functorality.
	www.mta.ca /~cat-dist/catlist/1999/extensive (7570 words)

	Proportional Reasoning
		Extensive quantities tell "how much" (i.e., the "extent") of a quantity is associated with a given object.
		Note that scalar quantities are treated as special types of intensive quantities in which the two quantities being related involve the same kind of units: for example, 30 dollars-per-dollars (earned-money/saved-money).
		Quantities from different measure spaces can be multiplied using the usual rules of multiplication (although the results may or may not have "sensible" interpretations).
	education.umn.edu /rationalnumberproject/88_8.html (8362 words)

	[No title]
		Extensive field and design office effort to avoid and/or correct poor drainage design.
		Accurate estimates of earthwork quantities, shrinkage factors and subsurface conditions.
		QUANTITIES Definition - Accuracy of material estimates versus actual quantities needed to perform work.
	www.dot.state.mn.us /const/forms/pm-qual_rat_inst.doc (1304 words)

	Chapter 3 Distress Data Consolidation Final Report - October 2003
		Several data sets were identified in which the distinction between block cracking and extensive quantities of transverse and longitudinal cracking was the source of the problem.
		A summarization error is an error in determining the total quantity of distress from the map created during the distress survey.
		Summarization errors are estimated to be the source of questionable surveys as follows: 1 percent of the questionable transverse cracking number, 19 percent of the questionable transverse cracking length, 4 percent of the questionable patching number, and 5 percent of the questionable patching area.
	www.tfhrc.gov /pavement/ltpp/reports/01143/chap3.htm (2124 words)

	Micrografting in Extensive Quantities - NHI
		Smaller hair transplant grafts in greater quantities are becoming an unmistakable trend.
		Transplantation with one-to four-hair grafts in extensive quantities produces a natural "hairy" appearance with out the artificial look typical of the large traditional grafts.
		The graft quantities (and the very close packing of those grafts) used in the patient portrayed in Figure 3 should not routinely be used in advanced hair loss patients who will most likely not lose significant amounts of hair.
	www.newhair.com /resources/mp-1995-micrografting.asp (3416 words)

	Adverus - Environmental Services - Aerospace
		Adverus hydrogeologist provided the client with reports from extensive site characterization investigations into the soil and groundwater quality, alternative clean-up proposals and a pilot study of an emerging treatment technology.
		When in operation, from the early 1960s to the late 1980s, the plant used extensive quantities of chlorinated solvents for cleaning parts after milling and for degreasing electrical components.
		This unit was underlain by a regionally extensive aquitard (a layer of rock having low permeability that stores groundwater but delays its flow), which is forty to sixty feet thick and composed primarily of clays and silty clays.
	www.adverus.com /cs_a.html (500 words)

	[No title]
		Initial Amount: specifies the amount of an extensive quantity at the beginning of the time period.¡6¾ OUó\M¨Definitionsª¨”Input: specifies the amount of an extensive quantity added to the system during the time period.
		Generation: specifies an amount of an extensive quantity produced in a system during a time period.
		Conservative System: a system in which the extensive quantity is neither generated not consumed.
	stommel.tamu.edu /~esandt/Teach/Spring03/ENGR112/Lectures/20.2/lecture202.ppt (981 words)

	Continuity and Infinitesimals
		The effect of “distributing” or “integrating” an intensive quantity over such an intensive magnitude is to convert the former into an infinitesimal extensive quantity: thus temperature is transformed into infinitesimal heat and density into infinitesimal mass.
		Accordingly for Aristotle quantities such as lines and planes, space and time are continuous by virtue of the fact that their constituent parts “join together at some common boundary”.
		Grant that two quantities, whose difference is an infinitely small quantity, may be taken (or used) indifferently for each other: or (what is the same thing) that a quantity, which is increased or decreased only by an infinitely small quantity, may be considered as remaining the same.
	plato.stanford.edu /entries/continuity (16627 words)

	[No title] (Site not responding. Last check: 2007-10-30)
		Partial Molar Quantities - any extensive thermodynamic quantity can be written as a partial molar quantity.
		A partial molar quantity is simply the amount of the property per mole.
		The chemical potential can be treated in a similar fashion to the partial molar quantities.
	curie.umd.umich.edu /dblawson/c368/exam3_review/exam3_review.html (394 words)

	ObjectVideo - Press Releases (Site not responding. Last check: 2007-10-30)
		Extensive video processed by ObjectVideo VEW, the company's flagship product, can now be analyzed within minutes to locate and extract critical information about security breaches.
		The key to the speed of ObjectVideo Forensics is its ability to extract a meta-data stream, a highly efficient numerical representation of video that can communicate characteristics of objects (e.g., human or vehicle) and their activities (e.g., path and speed).
		Security and law enforcement professionals can obtain critical information from extensive quantities of video footage at the speed of a database query versus reviewing the video manually – or even reprocessing the video.
	www.objectvideo.com /news/press/releases/index.asp?p=14 (832 words)

	Principal Metals-Plutonium
		The isotope 238Pu was produced in 1940 by Seaborg, McMillan, Kennedy, and Wahl by deuteron bombardment of uranium in the 60-inch cyclotron at Berkeley, California.
		By far of greatest importance is the isotope Pu239, with a half-life of 24,100 years, produced in extensive quantities in nuclear reactors from natural uranium: 238U --> 239U --> 239Np --> 239Pu.
		Its importance depends on the nuclear property of being readily fissionable with neutrons and its availability in quantity.
	www.principalmetals.com /utilities/94.htm (518 words)

	TLRP: news
		In mathematics and science education, there is an important distinction to be made between two types of quantity, extensive (e.g., height, weight, volume) and intensive (e.g., speed, density, temperature).
		Until recently, there has been little psychological analysis of the contrasts between intensive and extensive quantities, of what pupils should learn in order to avoid confusion, and of how they should be taught.
		These difficulties cannot be remedied by the teaching of extensive quantities alone.
	www.tlrp.org /proj/phase111/Scot_extd.html (446 words)

	ASTR 498N Lecture 10
		The macroscopic quantities that characterize a thermodynamic system are called state quantities: they include internal energy U, volume V, entropy S, particle number N (in the case of a single type of particle), temperature T, pressure P, chemical potential μ, and possibly other quantities such as applied magnetic or electric fields.
		The quantities U, V, S, and N are extensive (global): if you subdivide a homogeneous part of the system in half, the value of any of these quantities splits equally between the halves. On the other hand, T, P, and μ are intensive (local): they have the same values in either half.
		namely, the intensive quantities are obtained as derivatives of the fundamental relationship with respect to the extensive variables:
	www.astro.umd.edu /~drabin/Lecture10.htm (984 words)

	Highland Park
		This property was suffering from extensive rotten wood issues.
		There were also severe problems with regard to the chimneys; rotten wood and water intrusion issues at the point where the chimney structures transitioned with the roofs.
		Removed and replaced extensive quantities of trim elements with new, fully primed lumber.
	www.aapcogroup.com /html/highland_park.htm (114 words)

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