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Topic: Hyperbolic sector

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	Hyperbola - Wikipedia, the free encyclopedia
		The rectangular hyperbola with the coordinate axes as its asymptotes is given by the equation xy=c, where c is a constant.
		Just as the sine and cosine functions give a parametric equation for the ellipse, so the hyperbolic sine and hyperbolic cosine give a parametric equation for the hyperbola.
		A body that has sufficient energy to escape the gravitational field of a massive body moves in a hyperbolic trajectory with the massive body at one of the foci.
	www.wikipedia.org /wiki/Hyperbola (465 words)

	Hyperbolic geometry Information (Site not responding. Last check: 2007-10-05)
		Hyperbolic geometry was initially explored by Saccheri in the 1700s, who nevertheless believed that it was inconsistent, and later by Bolyai, Gauss, and Lobachevsky, after whom it is sometimes named.
		The hyperboloid is the hyperbolic analogue of the 3-sphere found in the quaternion division ring.
		Hyperbolic geometry has many properties foreign to Euclidean geometry, all of which are consequences of the hyperbolic postulate.
	www.articleshead.com /show_article/hyperbolic-geometry (427 words)

	Definition of utility sector
		1: A '''hyperbolic sector ''' is a region of the [[cartesian plane]] {(''x''...
		The sector is one of the main locations where the action of...
		Sector s were numbered in the order that they were explor...
	www.wordiq.com /search/utility+sector.html (683 words)

	Hyperbolic sector Definition / Hyperbolic sector Research (Site not responding. Last check: 2007-10-05)
		A hyperbolic sector is a region of the cartesian plane Cartesian means relating to the French mathematician and philosopher Descartes, who, among other things, worked to merge algebra and Euclidean geometry.
		hyperbolic sector is a separatrix because there are no.
		hyperbolic sector is the difference of its two external angles.
	www.elresearch.com /Hyperbolic_sector (122 words)

	Encyclopedia Galactica - Hy to Hz - Human (Anglic) Revised 351st Edition
		The Hyades Sector is solely inhabited by vecs, AIs and a scattering of cyborgs living in the massive habitats around the young stars.
		Hyperbolic spaces have the advantage of placing much information within a short distance of the current piece of information, making the traversal of networks and tree diagrams more efficient.
		There are, in various sectors, subsets of the archailects whose sole purpose is tracking and correlating economic data.
	www.orionsarm.com /eg/h/Hy-Hz.html (3077 words)

	8x8 HYPERBOLIC CHESS
		There are two types of cells (the equivalents of the squares): hyperbolic cells formed by the intersections of two radii and two branches of the hyperbola, and hyperbolic triangles formed by the intersection of two radii with one branch of the hyperbola.
		One peculiarity of hyperbolic chess is that the diagonal moves of the queen and the bishop are limited to the sectors UOV, WOZ, TOK and JOL.
		The other peculiarity of hyperbolic chess, is that the pieces moving along the rows 1, 2, 3, 8, 7, 6 move like points on the hyperbola branches, which can tend to infinity when we approach the center O of the fixed circle (C).
	www.chessvariants.com /shape.dir/hyperbol.html (360 words)

	[No title]
		The elliptic sectorial measure is called the gudermanian of the corresponding hyperbolic sectorial measure, and the latter the anti-gudermanian of the former.
		The hyperbolic functions are classed in the modern function-theory of a complex variable as functions that are singly periodic with a pure imaginary period, just as the circular functions are singly periodic with a real period, and the elliptic functions are doubly periodic with both a real and a pure imaginary period.
		Table II gives hyperbolic functions of complex arguments, in which \begin{equation} \cosh (x \pm iy) = a \pm ib,\ \sinh (x \pm iy) = c \pm id, \end{equation} and the values of $a, b, c, d$ are tabulated for values of $x$ and of $y$ ranging separately from 0 to 1.5 at intervals of.1.
	www.gutenberg.net /1/3/6/9/13692/13692-t/13692-t.tex (7113 words)

	[No title]
		The aim of the MAI is to protect transnational investors against national government regulations to the degree that signatory governments are restrained by international law from enacting environmental, labor, social, or economic regulations if such regulations interfere with the profitability of investor activities (Barker, 1998).
		Current growth trends in the financial sector due to technological advances are not necessarily of widespread economic advantage despite claims to the contrary.
		The reality of corporate sector curricula is that the education itself does not create the job for which it is designed, the result being that Australian society currently enjoys a much more highly-trained, growing class of unemployed people (Fife-Yeomans, 1998).
	www.angelfire.com /ga3/philgraham/global.html (4174 words)

	Secondary Ion Mass Spectrometry Instrumentation Tutorial
		The inner and outer sector electrodes have voltages of opposite polarity.
		As the ion beam passes through the magnetic field, the particles are acted on by a force at right angles, both to the direction of motion and to the direction of the magnetic field.
		The ion beam passes through a small hole in the electrostatic sector when the sector is deactivated.
	pprco.tripod.com /SIMS/Instrumentation.htm (2223 words)

	Hyperbolic Function (Site not responding. Last check: 2007-10-05)
		Sinh (hyperbolic sine) in (2) is the definition.
		Each sector corresponds to the same colored are in the adjacent drawing.
		The conclusion is that a hyperbolic plane is an imaginary sphere.
	www1.kcn.ne.jp /~iittoo/us24c_rie.htm (1881 words)

	Country Profile Comoros - EIU Online Store (Site not responding. Last check: 2007-10-05)
		Hopes for expansion in the sector were dashed by the violence associated with the Anjouanese and Mohelian secessionist movements in mid-1997 and by the April 1999 coup.
		Other sectoral problems are the increasing age of plantations and the shortage of wood for the distillation of the essence.
		The banking sector is composed of the Banque centrale des Comores (BCC), the Banque de developpement des Comores (BDC) and the Banque pour l'industrie et le commerce des Comores (BIC).
	store.eiu.com /index.asp?layout=show_sample&product_id=30000203&country_id=KM (15350 words)

	The U.S.A.-China Strategy, by Lyndon H. LaRouche, Jr. (Apr. 9, 1997)
		The skilled production management, especially in the relatively smaller-sized, closely held firm of the strategic machine-tool-design sector, and also in the technologically advanced, capital-intensive industrial giants, operated on the basis of planning backwards, from a targetted economic "horizon" to be reached either a half or full capital-turnover cycle, seven to twenty-odd years ahead.
		The result was a "draw down" of the productive sector of the national economy, including a relative inhibition of scientific research and development, and a relatively diminished role for the "strategic machine-tool-design" sector.
		Once it was assumed, that the terror of the 1962 "missiles crisis," and the consolidation of a "détente" orientation, promised to lower the risk of warfare, from general warfare, to "cabinet" and "surrogate" warfare, the priority upon strategic implications of technological attrition was virtually eliminated.
	www.larouchepub.com /lar/1997/lhl_usa-china_strategy.html (8978 words)

	Topological Construction and Visualization of Higher Order 3D Vector Fields (Site not responding. Last check: 2007-10-05)
		a) hyperbolic sector, b) elliptic sector, c) parabolic sector; d) example of a critical point consisting of 4 hyperbolic, 2 elliptic and one parabolic sector.
		a) an outflow sector is further divided into two hyperbolic sectors (gray) and two inflow sectors (blue); b) hyperbolic and elliptic sectors are topologically equivalent to a punctured disk; c) parabolic sectors are topologically equivalent to a disk with an arbitrary number of holes.
		Tetrahedrization of different sectors of a critical point; a)hyperbolic sector; b) Elliptic sector: an auxiliary closed polygon was inserted; c) two parabolic sectors; d) complete tetrahedrization.
	www.mpi-sb.mpg.de /~theisel/gallery/topoConstr3D/index.html (433 words)

	The Large-Scale Structure of the Physical Universe (Site not responding. Last check: 2007-10-05)
		The effect of the explosion and its aftermath is to transform a quantity of matter from a state in which it is highly concentrated in space to a state in which it is widely dispersed in time.
		The problem of reconciling the high degree of uniformity of the cosmic microwave background radiation with the observed large-scale non-uniformity of the galaxy distribution does not arise in the Reciprocal System for the simple reason that the source of the background radiation is not set in the conventional three-dimensional space at all.
		That is, both the rate of inflow of matter from the cosmic sector and the rate of final quasar transitions to the cosmic sector are uniform in time (as well as in space) and equal each other.
	www.rsystem.org /rs/cwkvk/cosbubbles.htm (5205 words)

	Dictionary of Meaning www.mauspfeil.net
		A '''hyperbolic sector''' is a region of the cartesian plane {(''x'',''y'')} bounded by rays from the origin to two points (''a'',1/''a'') and (b,1/''b'') and by the hyperbola ''xy'' = 1.
		The area of a hyperbolic sector in standard position is natural logarithm log ''b''.
		There you find a list of all editors and the possibility to edit the original text of the article Hyperbolic sector.
	www.mauspfeil.net /Hyperbolic_sector.html (132 words)

	Angle \| TutorGig.co.uk Encyclopedia (Site not responding. Last check: 2007-10-05)
		A hyperbolic angle in standard position is the angle at 0,0 between the ray to 1,1 and the ray to x,1 x where x 1.
		The magnitude of the hyperbolic angle is the area of the corresponding hyperbolic sector
		The presence of angle strain in a molecule indicates that in a specific chemical conformation there exists a bond angle that deviates from the bond angle required to archieve maximum bond strength.
	www.tutorgig.co.uk /encyclopedia/sencyclo.jsp?keywords=Angle (440 words)

	Hyperbola articles and news from Start Learning Now (Site not responding. Last check: 2007-10-05)
		In mathematics, a hyperbola is a type of conic section (literally: 'exaggeration' from the Greek languageGreek ') defined as the intersection between a Cone (geometry)cone and a plane (mathematics)plane which cuts through both halves of the cone.
		Just as the sine and cosine functions give a parametric equation for the ellipse, so the hyperbolic functionhyperbolic sine and hyperbolic functionhyperbolic cosine give a parametric equation for the hyperbola.
		A Body (physics)body that has sufficient energy to escape velocityescape the gravitygravitational field of a massive body moves in a hyperbolic trajectory with the massive body at one of the foci.
	www.startlearningnow.com /Hyperbola.htm (512 words)

	China and the States
		The largest effects of China's accession to the WTO will be felt in the manufacturing sector, with 85.1% of the total jobs lost due to rising trade deficits.
		Agri-business interests are the only sectors of the farm community that are sure to benefit from the China-WTO deal, since they profit from the growth in both exports to and imports of farm products from China.
		Hufbauer and Rosen (2000, 7) claim that "the EPI calculations are built on an absurd extrapolation of an exaggerated bilateral deficit." This rather hyperbolic charge is based on numerous assertions that are at odds with official U.S. government trade statistics.
	www.epinet.org /content.cfm/briefingpapers_chinastates_chinastates (4339 words)

	Animated Recentering on Radial Graph Layouts
		The angular position of a node on its ring is determined by the sector of the ring allocated to it.
		Each node is allocated a sector within the sector assigned to its parent, with size proportional to the angular width of that node's subtree.
		The method is described in some detail as "radial placement" in [20], where all the nodes have the same size, and the angular width of a node's subtree is simply the number of leaf nodes among its descendants.
	www.cs.berkeley.edu /~pingster/viz/ieee.html (3029 words)

	Dictionary of Technical Terms for Aerospace Use - H
		hyperbolic line of position which the object follows.
		hyperbolic line of position is established by signals received from two stations at a constant time difference.
		Comets unless captured by the sun have hyperbolic velocities and their trajectories are hyperbolas.
	sulu.lerc.nasa.gov /dictionary/h.html (3962 words)

	Not A Pretty Picture (Site not responding. Last check: 2007-10-05)
		These pages reflect a particularly negative or pessimistic perspective on the subject that is not in keeping with the rest of the document or the foundation document, in which potential benefits and significant uncertainties in assessment of potential negative impacts are fully discussed.
		The health sector NAST member works for a drug company, while the Health Sector Work Group is made up of leading experts from CDC and elsewhere (see Appendix I for members).
		The Health Sector comments refer to MacCracken as "the NAST representative" when in fact he is not even a member of the NAST.
	www.greeningearthsociety.org /Articles/2000/scare1.htm (5349 words)

	Algebraic Motors
		As will be explained, these algebraic entities come to provide a home in algebra for hyperbolic angle since the plane generated by a motor uses this concept.
		First we introduce the concepts of hyperbolic sector and hyperbolic angle.
		In the words of David Eugene Smith (1923), "the quadrature of the hyperbola is referred to its asymptotes" and "as the area increased in arithmetic series, the abscissas increased in geometric series".
	ca.geocities.com /cocklebio/algmotor.html (537 words)

	Hyperbola Encyclopedia Article, History, Biography @ Local Color Art (Site not responding. Last check: 2007-10-05)
		Just as the sine and cosine functions give a parametric equation for the
		ellipse, so the hyperbolic sine and hyperbolic cosine give a parametric equation for the hyperbola.
		gravitational field of a massive body moves in a hyperbolic trajectory with the massive body at one of the foci.
	www.karr.net /encyclopedia/Hyperbola (553 words)

	incunabula (Site not responding. Last check: 2007-10-05)
		None of that tourism hyperbole, we have had to listen to for years from the public sector has worked.
		The main reason was a public sector with no wisdom concerning social, cultural and economic tourism.
		A sector that is delusional, smug, self righteous, controlling, and lives in constant fear, lies and deceit.
	scottishtourismtoday.blogspot.com (4106 words)

	A Lever Long Enough to Move the World
		As the consumer sector grew more productive, the social sector, supported by taxes and protected from competition, fell ever further behind.
		It is not hyperbolic to call Ashoka this century's (much better) version of the United Way, and Drayton the most important innovator of any sort out there -- a seer who has correctly predicted the rise of the "citizen sector" in the past two decades and an audacious visionary of what will yet come.
		To Drayton, these "hybrid value chains" are a no-brainer; the divergence of the consumer and citizen sectors was a "nonsensical historical accident" in the first place, and their reintegration is "profoundly important for the health of both." Business must use social networks to reach new markets.
	www.fastcompany.com /magazine/90/open_ashoka.html (1922 words)

	[No title]
		The proof in outline is trivial today, but the proof uses the now standard results about the local phase portrait near a hyperbolic stationary point and the analyticity of the solutions of differential equations with respect to initial conditions, fundamental results developed by Poincar\'e \cite{15}.
		There are two types, the section maps between sections along the separatrices away from the stationary points and those between sections on the boundaries of the hyperbolic sectors at the stationary points.
		When there is only one hyperbolic sector on the separatrix cycle, the local analysis of its normal form is sufficient to settle the finiteness problem as in \cite2, but the analysis of compositions of the local section maps for more complicated separatrix cycles is one of the most difficult aspects of the general problem.
	www.ams.org /bull/pre-1996-data/199328-1/chicone.tex (3641 words)

	[No title]
		Hyperbolic browsers are used for topical browsing of large information collections.
		As users move down a branch of the categorization tree, the visual display shifts to reveal details while retaining a condensed view of the higher-level relationships.
		An example of a hyperbolic browser that librarians are likely to be familiar with was created by xrefer.
	www.groxis.com /archives/lib_journal_030105.htm (2558 words)

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