
	Where results make sense

Topic: Metric signature

Related Topics

Fundamental theorem of Riemannian geometry

Hodge star

Maple syrup

Butter tart

2000s music groups

Anand (town)

Gujarat

Los Angeles Kings

Jack Kent Cooke

Paul Bernardo

1980s music groups

In the News (Fri 27 Nov 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Metric signature - Definition, explanation
		The signature of a metric tensor (or more generally a nondegenerate symmetric bilinear form, thought of as quadratic form) is the number of positive and negative eigenvalues of the metric.
		A Riemannian metric is a metric with a (positive) definite signature.
		A Lorentzian metric is one with signature (p, 1) (or sometimes (1, q)).
	www.calsky.com /lexikon/en/txt/m/me/metric_signature.php (184 words)

	Spartanburg SC \| GoUpstate.com \| Spartanburg Herald-Journal (Site not responding. Last check: 2007-11-06)
		The signature may be denoted either by a pair of integers such as (p, q), or as an explicit list such as (−,+,+,+).
		More generally, the signature of a diagonal matrix is the number of positive, negative and zero numbers on its main diagonal.
		Lagrange algorithm avails a way to compute an orthogonal basis, and thus compute a diagonal matrix congruent (thus, with the same signature) to the other one: the signature of a diagonal matrix is the number of positive, negative and zero elements on its diagonal.
	www.goupstate.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=metric_signature (655 words)

	SDMetrics User Manual - Signature (Site not responding. Last check: 2007-11-06)
		procedure is a special purpose procedure used to capture the signature (name and parameter list) of an operation.
		defines a metric expression which is evaluated and used as name of the signature.
		In the above case, the metric expression refers to the model element attribute "name" of the operation.
	www.sdmetrics.com /manual/Signature.html (149 words)

	BBC News \| UK \| Trader guilty of metric law breach
		Sunderland City Council took fruit-and-veg trader Steven Thoburn to court for refusing to convert to European-approved metric measures and selling his goods in kilos and grammes.
		Mr Thoburn and his fellow trader Neil Herron, a fishmonger who has also been ordered to change his scales, were described by some as "metric martyrs" and a legal expenses fund was set up.
		Sunderland City Council said the father-of-two had failed to comply with a notice issued by its officers to convert to metric measures at his stall.
	news.bbc.co.uk /1/hi/uk/1269043.stm (511 words)

	Metric: Grow Up and Blow Away: Pitchfork Record Review
		In fact, Metric's songs are often characterized by a commercial sheen-- they're smart little packets that, even as anti-consumerism screeds, have a compact luster that makes you feel like getting online to price experimental shelving units from Ikea or browsing all-over print hoodies at HandM.
		None of this is to criticize Metric for hypocrisy, it's simply to position them as a band that has no qualms about jockeying for visibility-- in the process amassing reams of the sort of context that can sometimes drown out a band's music.
		The album is fully a product of Metric's signature style, where electro-pop, trip-hop, and good old indie rock underpin Haines' effortless charisma.
	www.pitchforkmedia.com /article/record_review/43962-grow-up-and-blow-away (1039 words)

	Eotvos and Novel Equivalence Principle Tests
		Metric theories of gravitation[1] (General Relativity) postulate the Equivalence Principle (EP): local bodies in vacuum free fall identically regardless of composition and internal structure, requiring spacetime curvature.
		Metric theories of gravitation are falsified at the postulate level if extreme mirror-image chiral or parity pair bodies are not Eötvös experiment nulls.
		Metric theories of gravitation postulate[64] spacetime is a Lorentzian manifold, test particles pursue space-time geodesics (all sufficiently small bodies subject only to gravitational interactions and starting with the same initial positions and velocities follow identical spacetime trajectories), and the Strong Equivalence Principle obtains.
	www.mazepath.com /uncleal/eotvos.htm (7763 words)

	Humdrum Toolkit Command Reference -- metpos
		The highest position in any given metric hierarchy is given the value "1." This value is assigned to the first event at the beginning of each measure.
		For example, in the case of 2/4 meter with an 8th duration time-base, the metric hierarchy is: 1, 3, 2, 3.
		For example, in the case of 6/8 meter (16th durations) the metric hierarchy is: 1, 4, 3, 4, 3, 4, 2, 4, 3, 4, 3, 4.
	www.music-cog.ohio-state.edu /Humdrum/commands/metpos.html (721 words)

	metric
		In other realms, "metric" means other things, and then to be specific we say that the metric in GR is a "Lorentzian metric" if it has that minus sign in front of the time part, or a "Riemannian metric" if it's just for space.
		If you have a tiny rigid rod moving along a path in space-time, the points in space-time occupied by its ends, which are simultaneous in the locally inertial frame for the rod, are a distance apart equal to the length of the rod.
		The metric is assumed to be one which at any one point can be transformed by a change of coordinates into a Minkowski metric.
	math.ucr.edu /home/baez/gr/metric.html (994 words)

	The College Music Society - Peer Review
		Although the pulses notated in triplets may be heard as primary beats because of tempo, we must remember that the bottom number in a time signature represents a note value not contained in a tuplet and without a dot, typically an eighth, quarter, or half note.
		Like duple structure, time signatures will give the same information about the score notation: a note value will appear as the bottom number in the signature, while an upper number will show how many of those notes are to appear in a measure.
		Yet if the style of the music does not suggest a conventional time signature, i.e., if we are aware only of the number of pulse streams and the fact that one of them is triple, it may be that one time signature will not emerge as the best.
	www.music.org /cgi-bin/showpage.pl?tmpl=/profactiv/profdev/peerreview/castl/castltriple&h=89 (1128 words)

	Why Maxwell Couldn’t Explain Gravity
		The effect of the negative signature of the spacetime metric is discussed in the note on Path Lengths and Coordinates, and more specifically as it relates to the attractiveness of gravity in the note entitled
		The sign of the accelerations in the geodesic equations depends on the sign of the metric signature, i.e., on whether the time coefficient has the same or opposite sign as the space coefficients.
		There it is shown that the direction of gravitational acceleration is determined by the sign of M/k where M is the mass of the gravitating body and k is the signature of the spacetime metric.
	www.mathpages.com /home/kmath613/kmath613.htm (3523 words)

	Maxima Manual: 29. ctensor
		As an example, consider a simple metric that is a perturbation of the Minkowski metric.
		The null tetrad is constructed on the assumption that a four-diemensional orthonormal frame metric with metric signature (-,+,+,+) is being used.
		Changing to a frame base at a later stage could yield inconsistent results, as you may end up with a mixed bag of tensors, some computed in a frame base, some in a coordinate base, with no means to distinguish between the two.
	maxima.sourceforge.net /docs/manual/en/maxima_29.html (2291 words)

	Lincoln Motors: What's New (Site not responding. Last check: 2007-11-06)
		These motors are ideally suited for replacement on machine tools, textile machinery and other equipment with metric dimensions and requiring the heavy-duty torque and performance of motors designed for use in North America.
		Signature Series Metric (IEC) motors are designed and built with long life and dependable service in mind.
		Signature Series Metric (IEC) motors are backed by a one-year warranty.
	www.lincolnmotors.com /whatsnew/iecmotors.asp (226 words)

	Equations and Numerical Methods
		In keeping with Misner, Thorne, and Wheeler (1973), we use the metric signature (-,+,+,+), along with geometrodynamic units where G = c = 1; the fl hole mass is unity, M=1.
		Analytically determined metric terms and metric derivatives are now calculated and stored at all needed grid locations rather than averaged.
		But this comes at a steep price: the narrow region where the metric terms diverge rapidly must be covered by a large number of grid zones (in the extreme Kerr limit, the number of zones inside the ergosphere could be as high as the number of zones that lie outside it).
	www.astro.virginia.edu /~jd5v/h91redux/node2.html (797 words)

	[No title]
		The fl hole metric which follows from (3,4) in this case is unique; it is asymptotically flat, and may be matched to a solution for collapsing dust provided appropriate surface stresses are included, where the source J may be understood to arise from the tachyon sector [26 ].
		Before collapse the signature of the metric is everywhere (-, +), but afterward cer- tain regions of spacetime develop event horizons.
		The metric for the interior of the dust is given by ds2 = -dt2 + (1 - bt2)2dx2 (15) 5 p __ in the region S = {(t, x)
	jdc.math.uwo.ca /papers/causal.txt (2482 words)

	Cartan's Corner (using Charlotte Technology)
		Three dimensional spaces with such non-Euclidean metric signatures admit what mathematicians have described as maximal surfaces of zero mean curvature, with conical or isolated singularities.
		The topological defects, in the otherwise flat surface of fluid density discontinuity, appear as a pair of zero mean curvature surfaces, with a conical (dimple) singularity at each end.
		In particular, the metric signature of 3D space with matter, and its resultant dynamics, need not be Euclidean.
	www22.pair.com /csdc/car/carhomep.htm (2276 words)

	19
		Last time we showed that the cosmological principle implied a spacetime metric which is block diagonal between time and spatial components, and whose spatial metric determines a spatial submanifold of constant curvature.
		describe all possible spacetime metrics consistent with spatial homogeneity and isotropy in the universe.
		This completes our derivation of the most general stress-energy tensor and metric, in comoving coordinates, consistent with homogeneity and isotropy of the universe.
	www.emory.edu /PHYSICS/Faculty/Benson/380-04/notes/19/19.html (488 words)

	Jedi Council Forums - Do you use the Imperial or Metric system?
		An apple that is shall always be, whether it is acknowledged or not.
		Metric, we use it all the time in Singapore.
		Imperial in most conversations or casual stuff, but in school I use Metric all of the time.
	boards.theforce.net /Census/b10264/3189183/p4 (505 words)

	A Linear Solution of the Four-Dimensionality Problem
		We do not force metrics into the scheme because a natural metric is defined automatically, once the proper time of the researcher is known, as follows.
		Thus any spacetime metric is induced by a psychological time, which means, in particular, that the notion of distance is undefined in the absence of an observer.
		2 a) Spacetime is expA together with all the physical metrics of A; b) elements a from A, such that a belongs to (A\)expA are (non-)physical events; c) topology of spacetime is that of the Lie group.
	members.tripod.com /~Xperiment/4D.htm (2958 words)

	Hyperbolic Geometrodynamic Warp Drives -Cetin BAL - GSM:05366063183 /Denizli
		The metric tensor is one of the most important concepts in relativity, since it is the metric which determines the distance between nearby points, and hence it specifies the geometry of a space-time situation.
		He has developed a “metric” for General Relativity, a mathematical representation of the curvature of space-time, that describes a region of at space surrounded by a warp or distortion that propels it forward at any arbitrary velocity, including FTL speeds.
		This metric has a space-time distortion for which the total negative mass needed is of the order of a few solar masses, accompanied by a comparable amount of positive energy.
	www.zamandayolculuk.com /cetinbal/hyperbolgeometrywarp.htm (11857 words)

	Custom Choppers :: Custom Chopper :: Metric Chopper™
		Maybe we can get an autograph at a bike show or cheer them on in competition but in reality that is as close as we can get without spending well over $100,000 for one of their custom chopper motorcycles.
		Anyone can buy a Honda, Kawasaki, Yamaha, Suzuki or Victory metric cruiser from your local dealer and chop them in your own garage for under $20,000.
		We will show you how and provide the kits and parts to make it happen without requiring you to take a second mortgage on your home to finance the project.
	www.metricchopper.com (521 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		The other spacetime, coming from a hyperboloid in the flat 5d spacetime with metric of signature (+ + - - -), is also maximally symmetric, and its isometry group is the 10-dimensional group SO(2,3).
		If you solve Einstein's equation for this metric, assuming critical density of pressureless matter, you'll find that the scale factor a(t) is proportional to t^(2/3).
		When de Sitter first wrote the metric for this space, little was understood about what cosmological metrics should look like.
	www.math.niu.edu /~rusin/known-math/00_incoming/universe (1835 words)

	Metric and Islands at the Fonda (Site not responding. Last check: 2007-11-06)
		I last saw Metric in November at the El Rey and if it was even possible, they were more animated this time around.
		Metric's light show that goes on behind the band adds depth to their performance and an air of arena-rock professionalism.
		Metric closed their set with a four song encore and took the stage to people stomping their feet and calling out "Metric" over and over again.
	www.icecreamman.com /music/article_797.shtml (425 words)

	PlanetMath: Minkowski space
		Minkowski space is a 4 dimensional real vector space with a non-degenerate pseudo-metric of signature
		Anyone with an account can edit this entry.
		Cross-references: positive, negative, contains, quadratic form, tensor, symmetric, iff, metric, signature, pseudo-metric, non-degenerate, vector space, real
	planetmath.org /encyclopedia/MinkowskiSpace.html (84 words)

	[No title]
		By default, all coordinates will be assumed real.
		) tr::usage = "tr[ tensor ] traces over the first two indices of tensor (without using the metric*, so one index should be upper and the other lower)" outer::usage = "outer[ tensor1, tensor2,...
		The optional argument `signature' is the norm of the unit normal vector; if omitted, it is taken to be +1." (* Note that these functions assume all indices on tensors to be tangent- or cotangent-space valued; the program is not set up to deal with indices on auxiliary or internal spaces (e.g.
	www.mit.edu /~headrick/physics/diffgeo5.m (127 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		defining an AF signature metric for AF representative of the sparse distribution of data points during AF episodes and an AFL signature metric representative of the clustering distribution of data points during AFL episodes;
		developing a discriminatory metric signifying the degree of sparseness or clustering of the data points of the scatter-plot;
		declaring AFL if the discriminatory metric satisfies the AFL signature metric representative of the distribution of data points during AFL.
	www.uspto.gov /web/patents/patog/week16/OG/html/1305-3/US07031765-20060418.html (181 words)

	The Bogdanov Affair - The Dialogue (Site not responding. Last check: 2007-11-06)
		Of course, if the metric is fixed you can often use a trick called "Wick rotation" to turn results about quantum field theory on Riemannian spacetime into results for Lorentzian spacetime.
		The main problem in the the case of classical trajectories is: when metric becomes degenerate, the space-trime trajectory is not governed by causal rules any more.
		After this short excursion into the world of signature changes, it is time again to return to the problems of "fl hole evaporation".
	quantumfuture.net /quantum_future/bog-werk.htm (4626 words)

	COBRA GEMINI
		CG is designed to be transportable and capable of operating anywhere in the world in either a land or sea-based mode.
		CG will be capable of detecting, acquiring, tracking, and collecting both high precision metric and signature data on tactical ballistic missile launches, but it can also lend support to future military operations, since metric data can provide launch and impact point estimates as well as basic missile trajectory.
		The X-Band frequency, essential for signature data collection and for supporting the wide bandwidth imaging requirement, is not well-suited for initial target acquisition or tracking complexes which have significant spatial separation.
	www.fas.org /spp/military/program/track/cobra_gemini.htm (978 words)

	Jedi Council Forums - ITT we discuss Celcius and Metric
		But it is a pain for people who grew up in the US to understand and convert to the metric system.
		The government should pass legislation to adopt the metric system, not only teach it in schools but require it as the only measurement, and convert all maps and tools to the metric system.
		Physics and Chemistry made me realize why the metric system is far superior.
	boards.theforce.net /your_jedi_council_community/b10008/25993739/r25994735 (909 words)

	Ricky Carmichael Boot \| Rickey Carmichael Boot \| Berik
		Berik boots offer three models including the entry level Contender series, the Pro series and the Ricky Carmichael signature Pro series that Ricky wears during each race.
		They are available in whole sizes only so if you fall between two size, choose the larger size.
		METRIC BIKE® and METRIC CHOPPER® are Registered Trade Marks of Xpertek Enterprises Inc. No part of this service may be reproduced, reprinted or republished in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise without written permission from MetricBikes.com.
	www.metricbikes-superstore.com /berikboots.php (312 words)

Try your search on: Qwika (all wikis)