
	Where results make sense

Topic: Local minimum

Related Topics

Saddle point

Warbird

Light cruiser

Heavy cruiser

President of the United States

Indian Army

Aisne

In the News (Mon 16 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Lecture 8 (Site not responding. Last check: 2007-10-09)
		The second derivative test says that if at a critical point the second derivative is positive the point is a local minimum; if the second derivative is negative, the point is a local maximum; if the second derivative is 0 or undefined, the test is inconclusive.
		Local maxima and minima: These are points (x,y) at which f(x,y) has a local maximum (a peak) or a local minimum (a pit).
		Conversely, any point where f(x,y) has a local max/min or a saddle point that lies in the interior of the domain of f (i.e., does not fall on the boundary of the domain), must be a critical point.
	www.math.uiuc.edu /~dikim/m242/lec8.html (502 words)

	Maxima and minima - Wikipedia, the free encyclopedia
		A graph illustrating local min/max and global min/max points
		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).
		has no global or local minima or maxima.
	en.wikipedia.org /wiki/Maxima_and_minima (568 words)

	The Local Church: Minimum Vs Maximum (Site not responding. Last check: 2007-10-09)
		The question of minimum is important because if we don't know the minimum we might find ourselves settling into some fellowship as our church which in fact is not a church.
		A group of people who only came together say once a year could not rightly be called a local church because there are essential activities of the church which lose their meaning when not done corporately.
		When a local church is busy thinking up creative ways to do good to people, then Jesus has not died in vain and the wisdom of God is being displayed.
	www.desiringgod.org /library/sermons/81/032981.html (2514 words)

	A function with a single critical point, which is a local minimum but not a global minimum (Site not responding. Last check: 2007-10-09)
		A function with a single critical point, which is a local minimum but not a global minimum
		For a function of a single variable f(x), if f is continuous on an interval I, has only one critical point in I, and that critical point is a local minimum, then it is the absolute (or global) minimum.
		The only point solving both of these equations is (0,1), and the second derivative test shows that this point is a local minimum for f.
	www.math.tamu.edu /~tom.vogel/gallery/node16.html (214 words)

	Local Minimization (cont.) and Stereo
		Local minimization will find a local minimum, but we are actually interested in the global minimum.
		You will probably find the global minimum A if you start the search at point x, but if you start at point y, you are more likely to find the local minimum B. In general, the global minimum is hardly ever found in practice.
		Note also that local minimization has difficulties at inflection points (which correspond to saddle points in higher dimensions) and at plateaus, because these areas of the function surface look locally as if there were no further improvement possible.
	www.cs.cornell.edu /Courses/CS664/1997sp/stereo-reg.htm (830 words)

	Local extreme values of a function of two variables
		The local maximum values of f(x,y) occur at the same points as the local minimum values of g(x,y) = -f(x,y).
		Thus we see that g(x,y) = -f(x,y) has a local minimum value of -31.3881 at x = 1.25 and y = -0.214286, which implies that f(x,y) has a local maximum value of 31.3881 at this point.
		Since this local maximum value of f(x,y) is also the global maximum value of f(x,y), we see that f(x,y) has a global maximum value of of 60104.3 when x = 646.957 and y = 31.3043.
	www.mathcs.emory.edu /~fox/NewCCS/ModuleIII/ModIIIP6.html (903 words)

	PlanetMath: extremum
		If you imagine the function as a surface, then a global minimum is the lowest point on that surface.
		If you imagine the function as a surface, then a local minimum is the bottom of a ``valley'' or ``bowl'' in the surface somewhere.
		A ``strict local minima'' or ``strict local maxima'' means that nearby points are strictly less than or strictly greater than the critical point, rather than
	planetmath.org /encyclopedia/Extremum.html (189 words)

	Minima from Chapter 10: Eluding Local Minima
		The function that we are seeking the minimum to is not nearly as simple as the graph shown in Figure 10.1.
		Local minima are any points that forms the bottom of a selected region of the graph.
		That is a local minimum with a lower error score.
	www.heatonresearch.com /articles/10/page2.html (375 words)

	§ 1357.18. Local living wage law or other local minimum wage
		Local living wage law or other local minimum wage
		(d) A self-employed individual who is subject to a local living wage law or other local legislation regulating his or her minimum hourly compensation shall not be a small employer for purposes of this section.
		, to employees subject to a local living wage law or other local legislation regulating their minimum hourly compensation, the employer is not required to obtain that coverage under this article and is not eligible to obtain coverage under its provisions.
	www.hmohelp.ca.gov /library/statutes/knox-keene/html/__1357_18_local_living_wage_law_or_other_local_minimum_wage.htm (252 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)

	Maxima and minima -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-09)
		One can talk about global maxima and global minima for real-valued functions whose domain is any (A group of things of the same kind that belong together and are so used) set.
		For twice- (additional info and facts about differentiable) differentiable functions in one variable, a simple technique for finding local maxima and minima is to look for (additional info and facts about stationary point) stationary points, which are points where the first derivative is zero.
		The function defined over the closed interval (segment) [-4,2] (see graph) has two extrema: one local maximum in, one local minimum in, a global maximum on x=2 and a global minimum on x=-4.
	www.absoluteastronomy.com /encyclopedia/m/ma/maxima_and_minima.htm (588 words)

	ipedia.com: Maxima and minima Article (Site not responding. Last check: 2007-10-09)
		Stated less formally, a local maximum is a point where the...
		A local minimum is a point x for which f(x) ≤ f(y) for all y with x - y
		Similarly, a global minimum is a point x for which f(x) ≤ f(y) for all y.
	www.ipedia.com /maxima_and_minima.html (425 words)

	[No title]
		It’s clear therefore that we need second-order conditions to determine whether a point at which the first derivative is zero is a local maximum, a local minimum, or a point of inflection.
		Thus we conclude that at a local minimum point the second derivative is positive.
		To ensure we have a minimum rather than a maximum we need also the second-order condition that the second derivative, evaluated at the output level satisfying the first-order condition, must be positive.
	www.lmu.ac.uk /lbs/epia/people/beachill/quants/quantch4.doc (1692 words)

	SparkNotes: Applications of the Derivative (BC): Analysis of Graphs
		It is intuitively clear that the tangent line to the graph of a function at a local minimum or maximum must be horizontal, so the derivative at the point is 0, and the point is a critical point.
		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.
		Similarly, a critical point is a local minimum if the derivative is negative just to the left and positive to the right.
	sparknotes.com /math/calcbc1/applicationsofthederivative/section2.rhtml (898 words)

	[No title] (Site not responding. Last check: 2007-10-09)
		Expenditures for the current reporting year shall be compared to the average of local operating expenditures or to the average of per capita expenditures for the three preceding years.
		Libraries that expend in local funds at least $13.50 per capita and at least $125,000 are exempt from this membership criterion.
		Recommendation for Regular Revision As its final recommendation the Minimum Criteria Subgroup would propose that the criteria be subject to revision every four (4) years and, further, that the review process be a joint project of the Texas Library Association and the TSLAC and initiated well in advance of the fouryear anniversary.
	www.tsl.state.tx.us /plstandards/finalmincriteria.doc (620 words)

	Local Minimum Wage Laws in Louisiana (Site not responding. Last check: 2007-10-09)
		Some want to pass laws to allow local governments to pass minimum wage laws for their jurisdictions.
		A local minimum wage higher than the federal minimum wage will make local labor costs less competitive with businesses in neighboring jurisdictions.
		Minimum wage laws not only increase the cost of employing minimum wage workers, but they put upward pressure on wages paid to those making more than the minimum.
	www.nfib.com /object/IO_19462.html (330 words)

	Dales and Hills (Site not responding. Last check: 2007-10-09)
		A dale is the set of points of a generic surface whose descending slope lines reach the same local minimum.
		Imagine that we pierce each local minimum of the topographic surface S and that we plunge this surface into a lake with a constant vertical speed.
		Each local minimum is completely surrounded by dams which delimit its associated dale.
	www.ensc.sfu.ca /people/grad/brassard/personal/THESIS/node185.html (309 words)

	Could the fit be a local minimum?
		This problem (called finding a local minimum) is intrinsic to nonlinear regression, no matter what program you use.
		You will rarely encounter a local minimum if your data have little scatter, you collected data over an appropriate range of X values, and you have chosen an appropriate equation.
		To test for the presence of a false minimum, note the values of the variables and the sum-of-squares from the first fit.
	www.graphpad.com /curvefit/local_minimum.htm (367 words)

	WMC - Press Releases
		Doyle had previously said he was opposed to local minimum wages.
		WMC had supported Doyle’s state minimum wage hike with the understanding that local ordinances would be banned.
		With a local minimum wage higher than the state, Madison’s wage ordinance will create constant pressure to raise the state minimum wage.
	www.wmc.org /GovernmentAffairs/display.cfm?ID=695 (280 words)

	Local extrema*
		The red circle marks a local maximum and the blue circle marks a local minimum.
		In this case, we say that Hf (a, b) is positive definite, and f has a local minimum at (a, b).
		In this case, we say that Hf (a, b) is indefinite, and f has neither a local maximum nor a local minimum at the critical point.
	www.math.umn.edu /~nykamp/m2374/readings/extrema (720 words)

	Local Minimum Traps
		A local minimum is a location in the N+1 dimensional space where the the minimum is local to a specific region.
		In this graph, notice that the global minimum is at A=0, while a local minimum exists at approximately A=3.8, which is what we want to avoid.
		Parameters shouldn't be that large when the XY data is that small, which is another indicator of a local minimum.
	www.erikburd.org /projects/pitfall/cases/localmin.html (646 words)

	Wolfram Research, Inc.
		This is not the global minimum for the function.
		This finds the local minimum of a function of two variables.
		Using the default setting, a different local minimum is found.
	documents.wolfram.com /v3/RefGuide/FindMinimum.html (142 words)

	Randomization (Site not responding. Last check: 2007-10-09)
		(Of course, a local minimum may also be a global minimum.) We have implemented two ways of attempting to escape local minima: perturbing the hyperplane with a random vector, and re-starting the perturbation algorithm with a different random initial hyperplane.
		The technique of multiple local searches is a natural extension to local search, and has been widely mentioned in the optimization literature (see Roth [87] for an early example).
		That is, a restart cycles through and perturbs the coefficients one at a time and then tries to perturb the hyperplane in a random direction when the algorithm reaches a local minimum.
	www.tigr.org /~salzberg/murthy_thesis/node13.html (906 words)

	CBofN - Glossary - L
		Local Minimum (Maximum) The bottom of a valley or the top of a peak; a point in a search space such that all nearby points are either higher (for a minimum) or lower (for a maximum).
		In a continuous search space, local minima and maxima have a 0 gradient vector.
		Note that this particular valley (or peak) may not necessarily be the lowest (or highest) location in the space, which is referred to as the global minimum (maximum).
	mitpress.mit.edu /books/FLAOH/cbnhtml/glossary-L.html (456 words)

	lmin - compute the local minimum of the potential energy
		The lmin program computes the local minimum of the potential energy function corresponding to a given starting coordinates (or, when --begin-coords is not given, from a randomly choosen ones).
		Where the is the value of energy in the local minimum.
		The coordinates of the local minimum are written into this file at the end of the program.
	www.fi.muni.cz /~kas/opal/manpages/opal_lmin.html (624 words)

	WUTC: 970545 - Status of Minimum Local Calling Area Rule with Discussion Draft (Site not responding. Last check: 2007-10-09)
		For basic telephone service to be considered adequate, each local exchange customer in the state should be able to reach at least one of these towns with a local call.
		(9) Any local exchange company providing service for which the local calling area is not adequate to meet the basic service standard as required in subsection (1) shall, within ninety days from the date this rule becomes effective, file tariff revisions and an implementation schedule to make necessary changes to its calling areas.
		At a minimum, this should include: a clear, brief explanation of the proposal, with rates; the requested effective date; the implementation date, and a phone number for customers to reach a company representative if they have questions.
	www.wutc.wa.gov /webdocs.nsf/0/a27286f11053954a882565e50079f56b!OpenDocument&ExpandSection=-2 (1321 words)

	Week #7: Optimization Techniques (Site not responding. Last check: 2007-10-09)
		At the point where the energy rises, a local minimum is found using the last 3 points.
		At this approximate minimum, the gradient is reevaluated and then followed until the energy begins to rise again.
		The trial structure is optimized with the constraint that the distance to the highest energy minimum is held constant.
	www.sdsc.edu /chemdyn/chem515/lecture/week7/lecture.htm (1875 words)

	Critical Points
		A local extremum is a local maximum or a local minimum.
		So a local extremum must occur at a critical point, but the converse may not be true.
		The second-derivative test implies that x=1 is a local minimum and x= -1 is a local maximum.
	www.sosmath.com /calculus/diff/der13/der13.html (469 words)

	WMC - Media Outlet
		Now it’s time to ban local minimum wage laws before the city councils of our state succumb to the easy politics of giving people more money without having to raise taxes.
		Governor Doyle had proposed a $6.50 state minimum wage, but he vetoed a bill to ban local minimum wage laws and thus set off the bidding war.
		But, if we don’t pass a ban on local minimum wage laws, there will be no end in sight to the pressure put on politicians to force businesses to pay more and more and more.
	www.wmc.org /MediaOutlet/display.cfm?ID=877 (650 words)

Try your search on: Qwika (all wikis)