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Topic: Extreme point

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	PlanetMath: extreme point
		is called an extreme point if it is not an interior point of any
		Cross-references: implies, line segment, interior point, point, vector space, subset, convex
		This is version 4 of extreme point, born on 2004-06-15, modified 2006-10-06.
	planetmath.org /encyclopedia/ExtremePoint.html (62 words)

	Extreme Networks
		Extreme, Extreme BV and Extreme K.K. shall be collectively referred to as "Extreme" for purposes of this Agreement.
		Extreme shall not be bound by any additional, inconsistent and/or conflicting provisions in any order, release, acceptance or other written correspondence from you unless expressly agreed to in writing by Extreme.
		Extreme's rights and obligations, in whole or in part, under this Agreement may be assigned or delegated to any affiliated company or subsidiary or in connection with a merger, reorganization, consolidation or sale of all or substantially all of Extreme's assets.
	apps.extremenetworks.com /global_docs/termsofsale.asp (2558 words)

	Extreme Point of Sale Inc Policy
		Extreme Point of Sale, Inc. agrees to sell all items on an "as is" basis.
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	www.extremepointofsale.com /policy.html (563 words)

	Extreme point - Wikipedia, the free encyclopedia
		An extreme point or an extremal point is a point that belongs to the extremity of something.
		In mathematics, an extreme point of a convex set S in a real vector space is a point in S which does not lie in any open line segment joining two points of S.
		In geography, an extreme (extremal) point is a point of land that extends farther in one direction than any other part of that land, which corresponds to the mathematical notion of extremal point in a given direction.
	en.wikipedia.org /wiki/Extreme_point (251 words)

	Determination of the 1, 2 and 5% occurrences of extreme dew-point temperatures and mean coincident dry-bulb ... (Site not responding. Last check: 2007-10-28)
		Determination of the 1, 2 and 5% occurrences of extreme dew-point temperatures and mean coincident dry-bulb temperatures (RP-754).
		Tables are given that present the 1%, 2.5%, and 5% extreme summertime occurrences of dew-point temperatures and corresponding values of humidity ratios and the mean coincident dry-bulb (MCDB) temperature for the period of record.
		It was found that the method of extreme dew point with MCDB had a higher humidity ratio that was on the average (for the 1% case and the 239 U.S. locations) 0.00564 lb/lb larger than the humidity ratio found with the other method.
	www.bae.uky.edu /gates/Reprints/rsg_r38.htm (269 words)

	[No title]
		Extreme Point: one of the corners of the feasible region.
		If not, it moves to a “better” extreme point (one with a higher objective value).
		Extreme Point Theorem: If an LP has an optimal solution, at least one of the extreme points is optimal.
	www.unc.edu /~ajbrogan/OR41/Handouts/LP_Terms.doc (328 words)

	The Fundamental Theorem of Linear Programming
		is an extreme point of the feasible region, in which case we are done, or (ii)
		Thus, this last observation establishes the existence of an optimal extreme point for the case of many optimal solutions, and the proof is complete.
		The discourse of the previous proof has also revealed a very important property of extreme points: At these points, the number of binding constraints is such that it allows zero ``degrees of freedom'', or, in other words, these constraints define the point uniquely.
	www2.isye.gatech.edu /~spyros/LP/node16.html (620 words)

	Optimization Online - Extreme Point Solutions for Infinite Network Flow Problems
		We derive necessary and su#cient conditions for flows to be extreme points of the set of feasible flows.
		Under a regularity condition met by all such problems with integer data, we show that a feasible solution is an extreme point if and only if it contains no finite or infinite cycles of free arcs (an arc is free if its flow is strictly between its upper and lower bounds).
		We employ this characterization to establish the integrality of extreme point flows whenever demands and supplies and arc capacities are integer valued.
	www.optimization-online.org /DB_HTML/2004/01/811.html (183 words)

	[No title]
		dichotomies is the restriction of two linearly separable dichotomies of the original m points; the two dichotomies which differs only in the classification of the remaining point.
		Therefore, each of the m points is an extreme point with respect to 2C(m 1, d 1) dichotomies.
		, of a point to be an extreme point with respect to a randomly generated dichotomy is (assuming equiprobable dichotomies)
	neuron.eng.wayne.edu /tarek/MITbook/chap1/1_6.html (331 words)

	Extreme Points of Convex Polygons
		It is often useful to find an extreme point of a 2D polygon.
		We further note that the convex hull of a point set or polygon (see: Algorithm 10) is precisely the collection of extreme points in all possible directions.
		The straightforward brute-force way to find an extreme point is to test all points incrementally, and remember the current extreme for the points tested so far.
	geometryalgorithms.com /Archive/algorithm_0112/algorithm_0112.htm (1949 words)

	Extreme value - Wikipedia, the free encyclopedia
		The largest and the smallest element of a set are called extreme values, absolute extrema, or extreme records.
		)) is a stationary point or critical point.
		In the case of a general partial order one should not confuse a least element (smaller than all other) and a minimal element (nothing is smaller).
	en.wikipedia.org /wiki/Extreme_value (428 words)

	MA 1024 Lab 5: Finding and Classifying Extreme Values
		Note carefully that the condition does not say that a point where the partial derivatives vanish must be a local extreme point.
		Then the stationary points must be solved for, which is not always a simple task.
		In one-dimensional calculus, the absolute or global extreme values of a function occur either at a point where the derivative is zero, a boundary point, or where the derivative fails to exist.
	www.math.wpi.edu /Course_Materials/MA1024C03/extrema2d/node1.html (652 words)

	Apple - AirPort Extreme
		The AirPort Extreme Base Station is available in a model designed especially for school and business campuses.
		AirPort Extreme supports Bonjour, the zero-configuration technology built into Mac OS X. Using Bonjour, AirPort Extreme automatically recognizes the AirPort-ready computers in its range and links them together into a network.
		Cables required to connect the AirPort Extreme Base Station to a DSL or cable modem, Ethernet or a phone jack are sold separately.
	www.apple.com /airportextreme (1371 words)

	PlanetMath: corner point theorem
		occuring at an interior point of an edge
		Cross-references: square, unit, end points, easy to see, line, constant, words, points, boundary, edge, interior point, subsets, triangle, line segment, satisfies, solution, extreme point, feasible region, polyhedron, objective function, linear programming problem, primal
		This is version 8 of corner point theorem, born on 2006-02-02, modified 2006-08-06.
	planetmath.org /encyclopedia/CornerPointTheorem.html (205 words)

	03b
		This point P cannot lie at a vertex of the triangle, since then the foot of the perpendicular from one of the other two vertices onto the opposite side would yield a smaller sum of distances.
		Thus, if the method determines the point P uniquely and the exceptional case, when all the Jacobians vanish, does not occur anywhere in the region under discussion, we can be sure that we have really found the point where the extreme value occurs.
		The points of extreme distance lie at the ends of the diameter through the point; the distance to one of these points is a minimum, to the other a maximum.)
	kr.cs.ait.ac.th /~radok/math/mat9/03b.htm (5729 words)

	Coyote Point Systems: Application Traffic Management Solutions
		Equalizer Extreme is an ultra-high performance layer 4-7 load-balancing solution that combines award-winning Dell PowerEdge 1750 servers with Coyote Point's industry-recognized Equalizer intelligent load-balancing technology.
		Equalizer Extreme enables customers to modernize their network infrastructure to handle today's most pressing e-business and network-centric issues, including Web performance, availability, quality of service, business continuity and security, at a price point as much as 75 percent less than competitive offerings.
		Coyote Point is headquartered in San Jose, CA and has distributors in Europe, Asia, Australia and Africa.
	www.coyotepoint.com /extreme_7_7_2004.htm (691 words)

	MA 1024A Laboratory 4: Finding and Classifying Extreme Values
		Note carefully that the theorem does not say that a point where the partial derivatives vanish must be a local extreme point.
		Then the critical points must be solved for, which is not always a simple task.
		Describe the contours of a function near a critical point that is a local extremum.
	www.math.wpi.edu /Course_Materials/MA1024AB00/lab4/node1.html (1009 words)

	Franklin & Marshall - Convex Hull: Extreme Point Algorithm
		The extreme point algorithm has to be among one of the worst, in terms of efficiency.
		The idea is simple: for each point, see if that point lies within a triangle formed using all possible combinations of three other points.
		One of the eight-point movies also includes pauses at important events in the algorithm at which a question is posed to the student.
	www.fandm.edu /x5025.xml (252 words)

	eXTReMe Tracking - Kudos
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	extremetracking.com /?kudo (3769 words)

	Voodoo Extreme: Boiling Point Preview
		Boiling Point promises to be almost GTA-esque in the liberty it offers you as player.
		Deep Shadows is eager to point out that the game is not just about impressive visuals or action (although both are present); they want it to be an experience that you savour in your own unique way.
		There is an over-arcing storyline that will see you strong-arming information about your daughter's disappearance from different factions by doing them favours, but for the most part you're free to explore the game as you see fit.
	ve3d.ign.com /articles/557/557938p1.html (229 words)

	GRIDtoday: Coyote Point Launches Enterprise-Class Equalizer Extreme
		Coyote Point Systems set a new standard for cost-effective enterprise load-balancing solutions with the introduction of Equalizer Extreme.
		Our Equalizer Extreme solution is a signal to enterprise IT departments that we have heard their cries for help, and that it is possible to deliver ultra-high performance application traffic management without draining their IT budgets," said William Kish, founder and CTO of Coyote Point Systems.
		Coyote Point's Equalizer XCEL is a cost-effective add-on security feature that offloads the processing of secure sockets layer (SSL) connections that are generally common in any secure Web transaction.
	www.gridtoday.com /04/0712/103513.html (501 words)

	Franklin & Marshall - Convex Hull: The Extreme Edge Algorithm
		The extreme edge algorithm us almost as bad as the "extreme point" algorithm in efficiency.
		Example: for each pair of points, which form a potential edge of the convex hull, see if all other points like on the same side of the edge connecting the two points.
		Nine movies: four with eight points, three with sixteen points, and two with thirty-two points.
	www.fandm.edu /x5034.xml (217 words)

	Dr. Dobb's \| Extreme Modeling \| June 29, 2001 (Site not responding. Last check: 2007-10-28)
		However, when taken at eXtreme Face Value (XFV), XP appears to be little more than a thin veneer atop hacking.
		XP is simply a collection of interrelated principles and practices, some of which focus on basic activities such as configuration management, but many of which focus on the communication and cultural aspects between team members and between the team and the organization in which it operates.
		I have been trying to answer this question for years, at least from the point of object-oriented software, and my answer, presented in Figure 1, depicts the latest incarnation of the solution to the detailed modeling process pattern.
	www.ddj.com /dept/architect/184414673 (2454 words)

	Reef Point \| secure converged network - infrastructure network security - security solution company (Site not responding. Last check: 2007-10-28)
		Reef Point Systems is a privately held company that delivers extreme security for a converged world.
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		As a service to visitors of this Web site, Reef Point provides links to security resources so you can access objective information from industry associations on the many security challenges faced by service providers, enterprises and consumers today.
	www.reefpoint.com /site/content/company.asp (234 words)

	Wireless LAN - access point required? - Extreme Tech Support - Free Tech Support, News and Discussions
		Extreme Tech Support - Free Tech Support, News and Discussions > Usenet Gateway - alt.comp.* > hardware
		how far the signal will go without an access point.
		LAN (with 650 access points), and many students use a laptop there.
	extremetechsupport.com /forum/showthread.phtml?t=9014 (1334 words)

	Extreme Points of the United States (50 States) — FactMonster.com
		Extreme Points of the United States (50 States) — FactMonster.com
		Extreme Points of the United States (50 States)
		Alabama: History, Geography, Population, and State Facts - Information on Alabama — economy, government, culture, state map and flag, major cities, points of interest, famous residents, state motto, symbols, nicknames, and other trivia.
	www.factmonster.com /ipka/A0001790.html (199 words)

	RAND \| Papers \| A Heuristic Adjacent Extreme Point Algorithm for the Fixed Charge Problem.
		A Heuristic Adjacent Extreme Point Algorithm for the Fixed Charge Problem.
		Computational experience shows it is extremely fast and yields very good solutions.
		Problems in which economies of scale give rise to separable piecewise-linear concave objective functions are easily formulated as fixed charge problems.
	www.rand.org /pubs/papers/P5042 (319 words)

	extreme
		Describing Polyhedra by Extreme Points and Extreme Rays
		is finite then there is an optimal solution that is an extreme point.
		This theorem is the basis for decomposition algorithms for linear programming.
	www.rpi.edu /~mitchj/handouts/extreme/extreme.html (63 words)

	Extreme Force/Point Doom/Whatever It Takes - 5 Pack
		EXTREME FORCE: Martial arts champion Hector Echavarria stars as a thief who wants to go straight.
		When his cohorts convince him to pull one last job, he finds himself in the dangerous realm of the powerful and wealthy.
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	rottentomatoes.com /m/extreme_forcepoint_doomwhatever_it_takes_5_pack (409 words)

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