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Topic: Quotient

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	Quotient space - Wikipedia, the free encyclopedia
		In topology and related areas of mathematics, a quotient space (also called an identification space) is, intuitively speaking, the result of identifying or "gluing together" certain points of a given space.
		We define a topology on the quotient set X/~ (the set consisting of all equivalence classes of ~) as follows: a set of equivalence classes in X/~ is open if and only if their union is open in X.
		The quotient space X/~ is then homeomorphic to Y (with its quotient topology) via the homeomorphism which sends the equivalence class of x to f(x).
	en.wikipedia.org /wiki/Quotient_space (944 words)

	Quotient - Wikipedia, the free encyclopedia
		A quotient can also mean just the integral part of the result of dividing two integers.
		In more abstract branches of mathematics, the word quotient is often used to describe sets, spaces, or algebraic structures whose elements are the equivalence classes of some equivalence relation on another set, space, or algebraic structure.
		Quotients also come up in certain tests, like the IQ test, which stands for Intelligence Quotient.
	en.wikipedia.org /wiki/Quotient (201 words)

	Quotient Marketing - Anti-Spam Policy ... (Site not responding. Last check: 2007-11-05)
		Quotient Marketing Inc. is a provider of direct marketing solutions to a variety of businesses and organizations, with a particular focus on permission-based e-mail marketing services.
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	krispykreme.qm1.net /about/AntiSpamPolicy.aspx (859 words)

	Location Quotient Technique Page
		The location quotient technique is based upon a calculated ratio between the local economy and the economy of some reference unit.
		Instead, location quotients are calculated for all industries to determine whether or not the local economy has a greater share of each industry than expected when compared to a reference economy.
		Location quotients may also be calculated that compare the county to a state.
	garnet.acns.fsu.edu /~tchapin/urp5261/topics/econbase/lq.htm (1403 words)

	WHERE TO PLACE QUOTIENT ANSWERS ON AN ABACUS - Totton Heffelfinger
		Therefore the quotient number is placed two rods to the left of the dividend.
		Therefore the quotient number is placed one rod to the left of the dividend.
		This way the unit number in the quotient will naturally fall on unit rod E with the first decimal falling on rod F. Using the Professor's method, what looks to be a complicated decimal problem becomes much more manageable.
	webhome.idirect.com /~totton/soroban/Quotient (1093 words)

	CLHS: Function FLOOR, FFLOOR, CEILING, FCEILING...
		floor and ffloor produce a quotient that has been truncated toward negative infinity; that is, the quotient represents the largest mathematical integer that is not larger than the mathematical quotient.
		truncate and ftruncate produce a quotient that has been truncated towards zero; that is, the quotient represents the mathematical integer of the same sign as the mathematical quotient, and that has the greatest integral magnitude not greater than that of the mathematical quotient.
		round and fround produce a quotient that has been rounded to the nearest mathematical integer; if the mathematical quotient is exactly halfway between two integers, (that is, it has the form integer+1/2), then the quotient has been rounded to the even (divisible by two) integer.
	www.lisp.org /HyperSpec/Body/fun_floorcm_f_undcm_fround.html (401 words)

	Quotient Rings (Site not responding. Last check: 2007-11-05)
		If the quotient ring has finite dimension (considered as a vector space over the coefficient field), further operations are available on its elements.
		Given an ideal I in the multivariate polynomial ring R (over a field), return the quotient R/I. The ideal I may either be specified as an ideal or by a list a_1, a_2,..., a_r, of generators.
		Given an element f of a finite dimensional quotient ring Q, return the representation matrix of f, which is a d by d matrix over the coefficient field of Q (where d is the dimension of Q) which represents f.
	www.math.uiuc.edu /Software/magma/text329.html (398 words)

	Division with limited carry-propagation in quotient accumulation (US6109777)
		Quotient selection logic selects quotient digits that are used to produce a final quotient.
		The quotient digits are selected according to a predetermined relationship among certain bits of the divisor and the partial remainder.
		The quotient digits are selected and combined until the final quotient is produced.
	www.delphion.com /details?pn=US06109777__ (267 words)

	Visual Calculus - Quotient Rule (Site not responding. Last check: 2007-11-05)
		Objectives: In this tutorial, we derive the formula for finding the derivative of a quotient of two functions and apply this formula to several examples.
		After working through these materials, the student should be able to derive the quotient rule and apply it.
		LiveMath notebook which illustrates the use of the quotient rule.
	archives.math.utk.edu /visual.calculus/2/quotient_rule.4 (95 words)

	Houghton Mifflin Mathematics Grade 4: Chapter 5: Division by One-Digit Divisors: Tips and Tricks
		If students learning the division algorithm are having trouble placing the first digit in the quotient, you may wish to teach them how to use compatible numbers to estimate the quotient.
		If the estimate of the quotient is 40, then the first digit in the quotient must be in the tens place.
		Students must realize that when they are trying to find the quotient, they are looking for a number that when multiplied by the divisor will give a product that is closest to the dividend without being greater than the dividend.
	www.eduplace.com /math/mhm/4/05/te_4_05_division_tips.html (381 words)

	PlanetMath: quotient rule
		The quotient rule says that the derivative of the quotient
		The Quotient Rule and the other differentiation formulas allow us to compute the derivative of any rational function.
		This is version 10 of quotient rule, born on 2002-05-17, modified 2002-05-18.
	planetmath.org /encyclopedia/QuotientRule.html (66 words)

	Business 2.0 :: Online Article :: Barely Managing :: A Quotient for all Occasions (Site not responding. Last check: 2007-11-05)
		This is the Machiavelli Quotient, a measure of one's ability to attain his goals divided by how many scruples one has.
		The RQ is similar: This is the Richard III quotient, and is a special case of the MQ used when goals are enormous and the divisor is less than one; it's plotted on a log scale.
		Speaking of Singapore, the SQ is the Singapore Airlines' quotient: It measures the ability to arrive on time or otherwise meet deadlines, provided you're on the right runway.
	www.business2.com /b2/web/articles/1,17863,512922,00.html (398 words)

	Grade 4: Adjusting the Quotient: When Students Ask
		There are a couple of ways to decide where to place the first digit in the quotient.
		When the number being subtracted is greater than the number being subtracted from, adjust the quotient to a lesser number.
		When the answer to the subtraction is greater than the divisor, adjust the quotient to a greater number.
	www.eduplace.com /math/mw/background/4/12/te_4_12_quotient_ask.html (329 words)

	quotient rings (Site not responding. Last check: 2007-11-05)
		For quotients of polynomial rings, a Groebner basis is computed and used to reduce ring elements to normal form after arithmetic operations.
		The presentation of the quotient ring can be obtained as a matrix with presentation.
		If a quotient ring has redundant defining relations, a new ring can be made in which these are eliminated with trim.
	www.math.uiuc.edu /Macaulay2/Manual/1442.html (251 words)

	PlanetMath: quotient space
		that satisfies this stronger property is called a quotient map, and given such a quotient map, the space
		The topology on the quotient space is then chosen to be the strongest topology such that the projection map
		This is version 2 of quotient space, born on 2002-05-23, modified 2003-03-13.
	planetmath.org /encyclopedia/QuotientSpace.html (155 words)

	Quotient Rule
		We must be a little careful in determining the domain of the quotient f/g: a real number x lies in the domain of f/g if and only if it is in the domain of both f and g AND g(x) is not equal to zero.
		A special type of quotient is the reciprocal of a function.
		The quotient rule says that the derivative of the quotient is "the derivative of the top times the bottom, minus the top times the derivative of the bottom, all divided by the bottom squared".....At least, that's one way to remember it.
	oregonstate.edu /instruct/mth251/cq/Stage6/Lesson/quotientRule.html (465 words)

	THE RELATIONSHIP QUOTIENT (Site not responding. Last check: 2007-11-05)
		The Relationship Quotient was created as a tool for use during the ATR (we'll cover this later).
		The Relationship Quotient is a number obtained by dividing the amount of ass (sexual activity) you get out of your relationship by the amount of drama (fights, arguments, etc.).
		However, some of you may observe that your Relationship Quotient is consistently low, no matter how many assportunities you exploit or create.Or perhaps you have noticed, as I have, that certain individuals appear to inspire a particular level of RQ in relationship after relationship.
	www.stanford.edu /~mora2/rq.html (402 words)

	Abelian, Nilpotent and Soluble Quotient
		The functions returning the abelian quotient or the abelian quotient invariants report an error if the abelian quotient cannot be computed, for example, because the relation matrix is too large.
		A nilpotent quotient algorithm constructs, from a finite presentation of a group, a polycyclic presentation of a nilpotent quotient of the finitely presented group.
		The algorithm calculates the biggest quotient such that the order has prime divisors only in P. P may have a zero as element, this is just for consistency reasons.
	www.umich.edu /~gpcc/scs/magma/text297.htm (2923 words)

	Quotient Groups (Site not responding. Last check: 2007-11-05)
		One of the strengths of representing groups with polycyclic or power-conjugate presentations is that arbitrary quotient groups can be computed.
		Construct the quotient Q of the pc-group G by the normal subgroup N, where N is the smallest normal subgroup of G containing the elements specified by the terms of the generator list L. The possible forms of a term L[i] of the generator list are the same as for the
		The quotient group Q and the corresponding natural homomorphism f : G -> Q are returned.
	magma.maths.usyd.edu.au /magma/htmlhelp/text320.htm (361 words)

	Quotient - A Technology Services Company
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	www.quotient-inc.com (148 words)

	Dorlands Medical Dictionary
		caloric quotient, the quotient obtained by dividing the heat evolved (expressed in calories) by the oxygen consumed (expressed in milligrams) in a metabolic process.
		D quotient, the ratio of glucose to nitrogen in the urine.
		respiratory quotient, the ratio of the volume of carbon dioxide given off by the body tissues to the volume of oxygen absorbed by them; usually equal to the corresponding volumes given off and taken up by the lungs.
	www.mercksource.com /pp/us/cns/cns_hl_dorlands.jspzQzpgzEzzSzppdocszSzuszSzcommonzSzdorlandszSzdorlandzSzdmd_q_01zPzhtm (2658 words)

	Problem B (Site not responding. Last check: 2007-11-05)
		Here q(x) is called the quotient polynomial of p(x) of degree (n-1) and r is any integer which is called the remainder.
		In this problem you have to find the quotient polynomial q(x) and the remainder r.
		The first line should contain the coefficients of the quotient polynomial.
	acm.uva.es /p/v107/10719.html (203 words)

	Self-esteem Quotient Evaluation
		This evaluation measures your present level of self-esteem, your Self-esteem Quotient (SEQ), and provides a means to measure your progress towards having high Self-esteem.
		For your SEQ to be valid, you must answer all statements about your beliefs about you and be completely honest in your scoring.
		It is critical that your responses to these statements be accurate according to how you actually behave or feel, rather than how you think you "should" behave or feel.
	www.performance-unlimited.com /seqeval.htm (341 words)

	Quotient
		In this section three methods of integrating quotients are discussed, but only the second method will be proven.
		The first method is to put the quotient into the form of the power of a function.
		The third method is a special case in which the quotient must be simplified to use the sum rule.
	www.tpub.com /math2/69.htm (186 words)

	:: Theory of Everything :: Measuring Progress Quotient. :: my weblog (Site not responding. Last check: 2007-11-05)
		Progress Quotient must be a sum total of the past and the present of the person and/or team.
		Progress Quotient, by itself, would be an absolute measure based on numerous factors of what they do – small small things they do against human progress, in the name of culture or habit, would decrease their Progress Quotients on an absolute scale.
		Progress Quotient requires one to notice major flaws, major accomplishments, minor habitual factors, minor cultural practices and non-issues in a consistent manner across the board – compensating for the human factor as well as we can.
	kaleemaziz.com /ipw-web/b2/index.php?p=85 (2838 words)

	The Grinnell Scheme Web: The quotient procedure (Site not responding. Last check: 2007-11-05)
		Division is more complicated than addition, subtraction, and multiplication, because dividing one integer by another gives two results, a quotient and a remainder.
		> (quotient 45 6) 7 > (remainder 45 6) 3
		The quotient is positive (or zero) if they have the same sign; it's negative (or zero) if they have opposite signs:
	www.math.grin.edu /~stone/scheme-web/quotient.html (279 words)

	eBusiness Technologies Partners with Net Quotient to Deploy e-Business Applications
		Net Quotient Consulting Group, http://www.netquotient.com/, is a consultancy that develops Internet-based business solutions that bring businesses to the Web.
		Founded in 1995, Net Quotient is majority-owned by Applicom Software Industries Ltd., a member of Formula Systems Ltd. (Nasdaq: FORTY - news).
		Net Quotient's headquarters are located in New York City, with offices in Austin, Boston, Chicago and London.
	www.formulasystems.com /press/2000/pr020800.htm (569 words)

	PlanetMath: quotient group
		operation form the quotient group or factor group of
		See Also: group, normal subgroup, simple group, ring, field, subgroup, equivalence relation, a subgroup of index 2 is normal
		This is version 8 of quotient group, born on 2001-12-21, modified 2005-03-25.
	planetmath.org /encyclopedia/Quotient2.html (89 words)

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