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Topic: Local maximum


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In the News (Thu 10 Dec 09)

  
  Maxima and minima - Wikipedia, the free encyclopedia
Stated less formally, a local maximum is a point where the function takes on its largest value among all points in the immediate vicinity.
Any global maximum (minimum) is also a local maximum (minimum); however, a local maximum or minimum need not also be a global maximum or minimum.
One refers to a local maximum/minimum as to a local extremum (or local optimum), and to a global maximum/minimum as to a global extremum (or global optimum).
en.wikipedia.org /wiki/Local_maximum   (573 words)

  
 A Brief Study of Local Maximum Solutions in Latent Class Analysis
Local maximum solutions seem often or always associated with convergence of parameter estimates to boundary values of 0 or 1.
Also, it is significant that often the same local maximum solution was found by more than one program: these reflect the nature of the "likelihood surface," which itself has local maxima, rather than the characteristics of any one program, algorithm, or formulation.
Local maximum solutions were generally different enough from the global maximum solution to significantly affect substantive interpretation of results.
ourworld.compuserve.com /homepages/jsuebersax/local.htm   (3691 words)

  
 United States Patent Application: 0040097814
The method of claim 11 or claim 22, wherein the set of predetermined criteria is based on the relative magnitude of a maximum or minimum in an exclusion period to the magnitude of at least one maximum or minimum respectively in the observed signal.
Although the absolute maximum has been found as a convenient measure of the largest oscillation, other measures may be used, such as the area under a trace formed by the signal, or extent of rise or fall to the next local maximum or minimum respectively.
Due to the characteristics of the blood pressure waveform, a secondary local maxima, for example a pulse wave reflection or dichrotic notch tends to follow the primary local maximum (the systolic peak) of the waveform.
appft1.uspto.gov /netacgi/nph-Parser?Sect1=PTO1&Sect2=HITOFF&d=PG01&p=1&u=/netahtml/PTO/srchnum.html&r=1&f=G&l=50&s1="20040097814".PGNR.&OS=DN/20040097814&RS=DN/20040097814   (9755 words)

  
 The Local Church: Minimum Vs Maximum   (Site not responding. Last check: 2007-11-04)
It seems to me now that there are two ways to talk about the local church: one way seeks to find the minimum of what makes a group of people into a church; the other way seeks to find the maximum that the local church should become by the power of God.
Maximum church means maximum fulfillment of the goals God has for the church.
If we want to be a great local church we must be a servant church: a church with maximum good deeds for the people with the greatest needs.
www.desiringgod.org /library/sermons/81/032981.html   (2515 words)

  
 SparkNotes: Applications of the Derivative (BC): Analysis of Graphs
Therefore, in order to find the local minima/maxima of a function, we simply have to find all its critical points and then check each one to see whether it is a local minimum, a local maximum, or neither.
Clearly, the behavior near a local maximum is that the function increases, levels off, and begins decreasing.
Therefore, a critical point is a local maximum if the derivative is positive just to the left of it, and negative just to the right.
www.sparknotes.com /math/calcbc1/applicationsofthederivative/section2.rhtml   (931 words)

  
 EP1002404 Raytheon european software patent - Truncated maximum likelihood sequence estimator for wireless local area ...   (Site not responding. Last check: 2007-11-04)
Further, the truncated maximum likelihood estimator can be used within a wireless local area network that includes at least one computer interfaced to a wireless radio containing the truncated maximum likelihood sequence estimator to provide wireless communications between either computers or between a computer and a computer network.
The wireless local area network also includes a processor that is interfaced to a second wireless digital unit so that the computer may communicate wirelessly with the processor to provide ad-hoc wireless connectivity between a first computer and a second computer or to provide wireless connectivity between the first computer and a computer network.
The truncated maximum likelihood sequence estimator of claim 2, wherein the current sample and the next sample of the 4-ary frequency shift keyed received signal are each eight bits in length and wherein each of the first decision and the second decision is two bits in length.
gauss.ffii.org /PatentView/EP1002404   (9441 words)

  
 Beyond Local Optimization: Annealing the Bounds
It is important to note that here the term 'global maximum' is somewhat of a misnomer since a small 'peaky' global maximum might get ignored in favor of a wider maximum.
The higher a maximum is and the more dominant and smooth the basin that surrounds it, the more likely it will remain after heavy smoothing.
By robustness we adopt the following definition: a robust maximum is a high maximum which is somewhat insensitive to perturbations in the locus or the parameters.
vismod.media.mit.edu /tech-reports/TR-507/node45.html   (893 words)

  
 Handbook for Optimised Deprival Valuation of System Fixed Assets of Electricity Line Businesses - Appendix B: Valuing ...
B.9 Transpower: The maximum overhead line costs for AC transmission lines in Table B.8 have been based on nominal average span lengths of 165m and 375m for pole and tower lines respectively, in flat rural land with an assumption that the work is carried out 50km from the nearest urban area.
B.41 The maximum TL of zone substation transformers is to be taken as 45 years, as shown in Table B.1.
B.42 The maximum TL of indoor distribution switchgear is to be taken as 45 years, as shown in Table B.1.
www.med.govt.nz /ers/inf_disc/odv04/odv04-07.html   (3341 words)

  
 Zvon - RFC 905 [ISO Transport Protocol Specification ISO DP 8073] - SPECIFICATION FOR CLASS 4: ERROR DETECTION AND ...
The maximum NSDU lifetime local-to- remote (MLR) is the maximum time which may elapse between the transmission of an NSDU from the local transport entity to the network and receipt of any copy of the NSDU from the network at the remote transport entity.
The maximum NSDU lifetime remote- to-local (MRL) is the maximum time which may elapse between the transmission of an NSDU from the remote transport entity to the network and receipt of any copy of the NSDU from the network at the local transport entity.
The expected maximum transit delay remote-to-local (ERL) is the maximum delay suffered by all but a small proportion of NSDUs transfer through the network from the remove transport entity to the local transport entity.
www.zvon.org /tmRFC/RFC905/Output/chapter12.html   (3670 words)

  
 The Local Maximum Search Module   (Site not responding. Last check: 2007-11-04)
Local maxima are returned as sets of three numbers which are the x and y coordinates and the intensity.
The local maximum search can be tuned through the parameters: The window parameter sets the size of the quadratic area for which a candidate pixel must be the local maximum.
Steepness sets a minimum difference to the borders of the window used for the local maximum search which must be fulfilled.
lns00.psi.ch /sics/lowmax.htm   (341 words)

  
 Section 392-245 Definitions--companies to be regulated,
A large incumbent local exchange telecommunications company shall be subject to regulation under this section upon a determination by the commission that an alternative local exchange telecommunications company has been certified to provide basic local telecommunications service and is providing such service in any part of the large incumbent company's service area.
The maximum allowable prices for nonbasic telecommunications services of a large, incumbent local exchange telecommunications company regulated under this section shall not be changed until January 1, 1999, or on an exchange- by-exchange basis, until an alternative local exchange telecommunications company is certified and providing basic local telecommunications service in such exchange, whichever is earlier.
Thereafter, the maximum allowable prices for nonbasic telecommunications services of an incumbent local exchange telecommunications company may be annually increased by up to eight percent for each of the following twelve-month periods upon providing notice to the commission and filing tariffs establishing the rates for such services in such exchanges at such maximum allowable prices.
www.moga.state.mo.us /statutes/c300-399/3920000245.htm   (1141 words)

  
 optimization.nb
A local maximum for instance is a point where the function is greater than or equal to those function values immediately surrounding it on both sides (which means it never occurs at the endpoint of an interval).
An absolute maximum would be the greatest (one) of all the local maximums as well as all the interval endpoints.
Investigating each critical point to see whether it is a local minimum or maximum or something else entirely (such as a horizontal or vertical point of inflection) can be a little more tricky.
www.richmond.edu /~lwibberl/math211/optimization   (1100 words)

  
 Local Maximum Likelihood Estimation and Inference - Fan, Farmen, Gijbels (ResearchIndex)
Abstract: Local maximum likelihood estimation is a nonparametric counterpart of the widely-used parametric maximum likelihood technique.
, we propose to use the local linear estimator b fi i, 3 where ( b fi i ; b a) is the maximizer of n = n X t=2...
Local Polynomial Estimation of Regression Functions for Mixing..
citeseer.ist.psu.edu /fan98local.html   (608 words)

  
 TI-86: Max/Min/Inflection   (Site not responding. Last check: 2007-11-04)
Then trace to somewhere near the local maximum and ENTER your guess.
Then find the y-values at the beginning and end of your graph (easiest way is to use TRACE and type in the x-value), and compare them with your local maximum and minimum values.
The absolute maximum and absolute minimum might be at local maximum or local minimum points, or at the beginning or end of the graph.
www.emba.uvm.edu /~read/TI86/maxmin.html   (577 words)

  
 f3a5.htm
At a local minimum the value of the function is smaller than at neighboring points.
Another way to determine whether there is a local maximum or a local minimum at the critical point is to look at the sign of the second derivative.
The smallest local minimum of a function is said to be the global minimum and the largest local maximum is said to be the global maximum.
www.csun.edu /~kme52026/f3a5/f3a5.htm   (491 words)

  
 MODULE 4
So f assumes local maximum at x = -1 and local minimum at x = 2.
f(x) has local maximum at x =1 and local minimum at x = 5.
So f(x) has a local minimum when a = 32 and does have a local maximum.
www.northern.edu /markandar/CALCULUS14/module4.htm   (958 words)

  
 Ch25
Behaviour: Semi-demersal, neritic; solitary or in pairs (most species) or in schools of 15 to 20 (Scarus ghobban), 2 to 3 m over bottom, descending to bottom to feed on benthic algae or to tear off pieces of coral abundant on coral reefs as a group but of slight importance commercially.
Interest to fisheries: Most species of little importance commercially but a few of moderate importance (Scarus ghobban); flesh is excellent though soft, but the group is not popular locally, perhaps on account of their bright 'warning' colouration.
Moderate interest to fisheries; traps and bottom setnets and spear; flesh excellent although unpopular locally, due perhaps to bright colours of fish.
www.fao.org /docrep/t0726e/t0726e0p.htm   (2060 words)

  
 Patent 5293430: Automatic image segmentation using local area maximum and minimum image signals
The method as defined in claim 1, wherein in the determination of local area minimum, to be determined a minimum, a pixel must be at less than other pixels in the local area by a preselected amount.
The method as defined in claim 1, wherein the determination of local area maximum, to be determined a maximum, a pixel must be at greater than other pixels in the local area by a preselected amount.
In the neighbor maximum detector 104, a determination is made whether the gray level value of the center pixel being processed, V.sub.i,j, is greater than the values of its eight neighbors.
www.freepatentsonline.com /5293430.html   (9457 words)

  
 SparkNotes: Applications of the Derivative (AB): Absolute and Local Extrema
Taken together, the local maxima and local minima are known as the local extrema.
A local minimum or local maximum may also be called a relative minumum or relative maximum.
Note that the converse of this theorem is not true, i,e, it is not the case that all critical points are local extrema.
www.sparknotes.com /math/calcab/applicationsofthederivative/section3.rhtml   (895 words)

  
 [No title]   (Site not responding. Last check: 2007-11-04)
Local maximums and minimums can occur when  EMBED Equation.DSMT4  is undefined.
All global maximums (and minimums) of  EMBED Equation.DSMT4 must also be local maximums (and minimums).
A rectangular dance floor of width w and length l feet is to be built inside a semicircular part of a room of radius 30 feet.
math.arizona.edu /~sandler/124ch4.doc   (1883 words)

  
 Maximum Press : Home : AS/400 Encyclopedia : Local Area Networks   (Site not responding. Last check: 2007-11-04)
Select Maximum Press publications have a Companion Web Site to keep you up-to-date with the latest information and developments.
Local Area Network (LAN) consists of a group of computers connected to a high-speed communications system that spans a confined region (i.e.
The AS/400 server models have been optimized to offer or "serve" resources to other computers in a LAN environment.
www.maxpress.com /encyclopedia/lans.htm   (192 words)

  
 Maxima and minima - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-11-04)
ja:極値 In mathematics, a point x is a local maximum of a function f if there exists some ε > 0 such that f(x) ≥ f(y) for all y with x - y
A local minimum is a point x for which f(x) ≤ f(y) for all y with x - y
A global maximum is a point x for which f(x) ≥ f(y) for all y.
www.indexlistus.de /keyword/Maxima_and_minima.php   (460 words)

  
 local_minima   (Site not responding. Last check: 2007-11-04)
Local andquot;valleysandquot; or minor andquot;dentsandquot; in a loss function which, in many practical applications, will...
A global maximum is a point x * for which f(x *) ≥ f(x) for all x.
Previous: High B's Local Minima The last problem which must be considered is that we can never reach the local minimum.
local_minima.networklive.org   (297 words)

  
 Exercises on local optima
Is x = 1 a local maximum or a local minimum of the function f ( x) =
Find all the local maxima and minima and all the global maxima and minima, if any, of the following functions.
For each local maximum that you find, determine, if possible, whether it is a global maximum.
www.chass.utoronto.ca /~osborne/MathTutorial/LONX1.HTM   (335 words)

  
 Concavity Test   (Site not responding. Last check: 2007-11-04)
Since concavity determines local maximum or minimum, this is called the concavity test, or the second derivative test.
A nonzero third derivative implies a local maximum or minimum of the first derivative.
The second derivative attains a local minimum, as its first derivative is 0 and its second is positive.
www.mathreference.com /ca,ctest.html   (324 words)

  
 Ch24
Maximum size range: 20 cm (Upeneus bensasi) to 50 cm (Parupeneus barberinus).
Habitat: Most species in shallow water over soft bottoms (sand and mud, mud and sand, or mud); some over coral reefs, (Parupeneus and Mulloidichthys); aggregations reported on reefs by day which move on to soft bottoms for feeding at sunset; maximum depth appears to be 60 m.
Maximum size range: 13 cm (Pseudorhombus triocellatus) to 35 cm (Pseudorhombus javanicus).
www.fao.org /docrep/T0726E/t0726e0o.htm   (1824 words)

  
 Points on convex hulls - GameDev.Net Discussion Forums
If prq represents points on a boundary path along S*, and q is the first local maximum for p on the boundary path, then none of the points other than q along that path can be a local maximum for r.
In terms of geometry, a point P on the boundary of a polygon is a local maximum for another point Q on the boundary iff the boundary points on either side of Q are closer to P than Q is to P. I apologize if I was using unfamiliar terms.
To disprove it, you'd have to show that when q is the local maximum for p, there exists a point other than q on the path which is the local maximum for r.
www.gamedev.net /community/forums/topic.asp?topic_id=285766&whichpage=1�   (2235 words)

  
 Karl's Calculus Tutor - 5.1 Derivatives Apps: Hilltops and Valley Floors
But, as we shall see, there is local a maximum and a local minimum.
That is, whatever function you need to know the maximum or minimum of, first find the stationary points by solving for where that function's derivative is zero.
Note well that not all maximum or minimum points occur at stationary points and not every stationary point is a maximum or minimum.
www.karlscalculus.org /calc5_0.html   (3112 words)

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