Wiktionarypar metricMetric s may refer to the metric system of measurement International System of Units , or Syst me International SI , the modern form of the metric system Metric mathematics , an abstraction of the notion of distance in a metric space Metric tensor , in mathematics, a symmetric rank 2 tensor, used to measure length and angle Metric ton , a measurement of mass equal to 1,000  kg Metric band , a Canadian indie rock band Metrics networking , set of properties of a communication path Font Metrics Font metrics , a group of properties describing a font Reuse metrics , a quantitative indicator of an attribute for software reuse and reusability Router metrics , used by a router to make routing decisions Software metric s, a measure of some property of a piece of software or its specifications Performance metric s, a measure of an organization s activities and performance. METRIC a computer model Mapping EvapoTranspiration at high Resolution with Internalized Calibration that uses Landsat satellite data to compute and map evapotranspiration ET . Meter music , of or relating to an even note pattern or rhythmic unit which coincides with a measurement of beats in music Meter poetry , the linguistic sound patterns of a verse See also Units of measurement Metric expansion of space disambig da Metrik de Metrik el es M trica desambiguaci n eo Metriko fr M trique pl Metryka ru sk Metrika sr sv Metrik uk ... more details
METRIC is a computer model Mapping EvapoTranspiration at high Resolution with Internalized Calibration that uses Landsat satellite data to compute and map evapotranspiration ET developed by the University of Idaho . ref Idaho Department of Water Resources Mapping Evapotranspiration http www.idwr.idaho.gov GeographicInfo METRIC et.htm ref reflist climate stub Category Hydrology Category Meteorology Category Remote sensing Category Computer aided engineering software Category Hydrology models Category Environmental soil science ... more details
Metric conversion can refer to Converting a non metric quantity to the metric equivalent see Conversion of units Conversion of a country from non metric units to metric units see Metrication disambig ... more details
Metric gauge may refer to Metre gauge , a rail gauge Any Gauge engineering gauge or Pressure measurement pressure gauge that reads in Metric system metric measurements disambig ... more details
About the data structure the type of metric space Real tree A metric tree is any tree data structure tree data structure specialized to index data in metric space s. Metric trees exploit properties of metric spaces such as the triangle inequality to make accesses to the data more efficient. Examples include the M tree , vp tree s, cover tree s, and bk tree s. should have a list and summary of metric trees, with links to the main articles. CS Trees Category Trees structure datastructure stub ... more details
In metric geometry , the Karlsruhe metric the name alludes to the layout of the city of Karlsruhe is a measure of distance that assumes travel is only possible along radial streets and along circular avenues around the center. ref http www.personal.kent.edu rmuhamma Compgeometry MyCG CG Applets VoroKarlsruhe karlcli.htm Karlsruhe Metric Voronoi Diagram ref See also Metric mathematics Manhattan distance Hamming distance Notes Reflist External links http www.nirarebakun.com voro ekarl.html Karlsruhe metric Voronoi diagram , by Takashi Ohyama http www.personal.kent.edu rmuhamma Compgeometry MyCG CG Applets VoroKarlsruhe karlcli.htm Karlsruhe Metric Voronoi Diagram , by Rashid Bin Muhammad Category Digital geometry Category Metric geometry ... more details
In the mathematics mathematical theory of metric space s, a metric map is a Function mathematics function between metric spaces that does not increase any distance such functions are always continuous function continuous . These maps are the morphism s in the category of metric spaces , Met Isbell 1964 . They are also called Lipschitz continuity Lipschitz functions with Lipschitz constant 1, nonexpansive maps , nonexpanding maps , weak contractions , or short maps . Specifically, suppose that X and Y are metric spaces and is a function mathematics function from X to Y . Then we have a metric map when, for any points x and y in X , math d Y f x ,f y leq d X x,y . math Here d sub X sub and d sub Y sub denote the metrics on X and Y respectively. A map between metric spaces is an isometry if and only if 1 it is metric, 2 it is a bijection , and 3 its inverse functions inverse is also metric. The composite function composite of metric maps is also metric. Thus metric spaces and metric maps form a category theory category Category of metric spaces Met Met is a subcategory of the category of metric spaces and Lipschitz functions, and the isomorphism s in Met are the isometries. One can say that is strictly metric if the inequality mathematics inequality is strict for every two different points. Then a contraction mapping is strictly metric, but not necessarily the other way around. Note that an isometry is never strictly metric, except in the degeneracy mathematics degenerate case of the empty set empty space or a single point space. References cite journal author Isbell, J. R. authorlink John R. Isbell title Six theorems about injective metric spaces journal Comment. Math. Helv. volume 39 year 1964 pages 65 76 url http www.digizeitschriften.de resolveppn GDZPPN002058340 doi 10.1007 BF02566944 Category Metric geometry Category Lipschitz maps Geometry stub es Funci n corta it Funzione non espansiva pl Odwzorowanie nierozszerzaj ce ru ... more details
In mathematics , the L vy metric is a metric mathematics metric on the space of cumulative distribution function s of one dimensional random variable s. It is a special case of the L vy Prokhorov metric , and is named after the France French mathematician Paul Pierre L vy . Definition Let math F, G mathbb R to 0, infty math be two cumulative distribution functions. Define the L vy distance between them to be math L F, G inf varepsilon 0 F x varepsilon varepsilon leq G x leq F x varepsilon varepsilon mathrm ,for ,all , x in mathbb R . math Intuitively, if between the graphs of F and G one inscribes squares with sides parallel to the coordinate axes at points of discontinuity of a graph vertical segments are added , then the side length of the largest such square is equal to  L F ,  G . See also C dl g L vy Prokhorov metric Wasserstein metric References springer author V.M. Zolotarev id l l058310 title L vy metric Category Measure theory Levy metric Category Metric geometry Levy metric Category Probability theory Levy metric ... more details
In mathematics , the term metric dimension has various meanings. The Metric dimension graph theory metric dimension of an undirected graph G is the minimum number of vertices in a subset S of G such that all other vertices are uniquely determined by their distances to the vertices in S . The Minkowski Bouligand dimension also called the metric dimension is a way of determining the dimension of a fractal set in a Euclidean space by counting the number of fixed size boxes needed to cover the set as a function of the box size. The equilateral dimension of a metric space also called the metric dimension is the maximum number of points at equal distances from each other. The Hausdorff dimension is an Extended real number line extended non negative real number associated with any metric space that generalizes the notion of the dimension of a real vector space. mathdab ... more details
Orphan date January 2010 The Peres metric is defined by the proper time math d tau 2 dt 2 2f , t z, ,x, ,y dt dz 2 dx 2 dy 2 dz 2 math for any arbitrary function f . If f is a harmonic function with respect to x and y , then the corresponding Peres metric satisfies the Einstein field equations in vacuum . Such a metric is often studied in the context of gravitational waves . The metric is named for Israel i physicist Asher Peres , who first defined the metric in 1959. References Peres, A. Some Gravitational Waves. Phys. Rev. Lett. 3, 571 1959 Category Gravitation physics stub ... more details
Image Canadian Metric Movement.svg right thumb Logo of the Metric Commission The Metric Commission , formally the Preparatory Commission for the Conversion to the Metric System was a Canada Canadian government agency established by the Government of Canada federal government in 1971 to facilitate Metrication in Canada Canada s conversion to the Metric system from the imperial system of weights and measures and to educate the public on the Metric system. The Commission was formed following the release of The White Paper on Metric Conversion , a January 1971 federal government document which noted most nations had adopted the metric system and anticipated that the Metrication in the United States 20th century United States would do likewise. ref cite web url http archives.cbc.ca IDC 1 75 1572 10612 science technology metric system clip1 accessdate 2007 11 11 date 4 February 1970 title The metric housewife publisher CBC Radio work Matinee ref A number of Progressive Conservative Members of Parliament had been vocal in their opposition to the metric system during the previous Liberal Party of Canada Liberal government of Pierre Trudeau . Dennis Braithwaite of the Toronto Star was a prominent media critic of metrication. ref cite web url http archives.cbc.ca IDC 1 75 1572 10615 science technology metric system clip1 accessdate 2007 11 11 date 27 September 1977 title The great Canadian metric debate publisher CBC Television work 90 Minutes Live ref The agency was abolished on March ... accessdate 2007 11 11 date 2 February 2006 title Population Affiliation Report Metric Commission ..., 1984 1984 federal election . It was replaced by a small metric office within Industry Canada. By October of that same year, the metric office became the Measurement Information Division of Industry ... ca regu crc972 title Metric Commission Order, C.R.C., c. 972 accessdate 2007 11 11 date 1971? federal government order which created the Metric Commission Category Former Canadian federal departments ... more details
In the mathematics mathematical study of metric spaces , one can consider the arclength of paths in the space .... The distance between two points of a metric space relative to the intrinsic metric is defined as the infimum of the length of all paths from one point to the other. A metric space is a length metric space if the intrinsic metric agrees with the original metric of the space. Definitions Let math M, d , math be a metric space . We define a new metric math d I , math on math M , math , known as the induced intrinsic metric , as follows math d I x,y , math is the infimum of the lengths ... M, d , math is a length space or a path metric space and the metric math d , math is intrinsic . We say that the metric math d , math has approximate midpoints if for any math varepsilon 0 math and any ... math . Examples Euclidean space R sup n sup with the ordinary Euclidean metric is a path metric space. R sup n sup 0 is as well. The unit circle S sup 1 sup with the metric inherited from the Euclidean metric of R sup 2 sup the chordal metric is not a path metric space. The induced intrinsic metric on S sup 1 sup measures distances as angle s in radian s, and the resulting length metric space is called the Riemannian circle . In two dimensions, the chordal metric on the sphere is not intrinsic, and the induced intrinsic metric is given by the great circle distance . Every Riemannian manifold can be turned into a path metric space by defining the distance of two points as the infimum ... is defined included Finsler manifold s and sub Riemannian manifold s. Any complete metric space complete and convex metric space is a length metric space harv Khamsi Kirk 2001 loc Theorem 2.16 , a result of Karl Menger . The converse does not hold in general, however there are length metric spaces ... by d . The space M , d sub l sub is always a path metric space with the caveat, as mentioned above, that d sub l sub can be infinite . The metric of a length space has approximate midpoints. Conversely ... more details
Notability date July 2010 Metric Today is the newsletter of the U.S. Metric Association . It features the latest developments in US metrication efforts. In the spirit of international standardization, it is dimensioned to the A4 paper size . External links http lamar.colostate.edu hillger mtoday.htm Official site Category Metrication ... more details
for the poetical term foot prosody A metric foot is a nickname occasionally used in the United Kingdom for a length of 300 millimetre s 30  cm . A metric foot can be divided into twelve metric inch es of 25 millimetre s 2.5  cm each. The metric foot and inch are therefore 4.8 and 0.4 millimetres or about frac 1 60 shorter than an Imperial unit imperial Foot length foot and inch respectively. The term metric foot does not appear in any British Standard . The practice of choosing multiples of 300  mm and 600  mm as preferred dimension s in the construction industry originated from the international standard on modular coordination ISO 2848 . These numbers were chosen because of their large number of divisors. Any multiple of 600 mm can be evenly divided into 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, etc. parts. While the term metric foot is still occasionally used in the United Kingdom , in particular in the timber trade, dimensions are most likely to be quoted exclusively in metric units today. The sizes of the studios at BBC BBC Television Centre Television Centre in London , first opened in 1960, are all specified and measured up in metric feet a contrast to film stages where imperial feet and inches prevail. Historically in France, under the mesures usuelles system intermediary between traditional French units of measurement French units and metric units , a metric foot was exactly a third of a metre frac 333 1 3   mm . See also Tonne metric ton Metric mile Decimal Dozen Further reading British Standard BS 6750 Modular coordination in building. Martin Kempton http www.tvstudiohistory.co.uk tv 20centre 20history.htm An unofficial history of Television Centre Category Units of length Category Metrication ... more details
A spill metric is a Heuristic computer science heuristic metric used by Register allocation register allocators to decide with registers to spill. Popular spill metrics are cost degree introduced in Chaitin s algorithm cost degree sup 2 sup emphasizes the spill s effect on neighbours cost emphasizes Run time computing runtime minimising number of spill operations Where cost is the estimated cost of spilling a value from registers into memory. DEFAULTSORT Spill Metric Category Digital registers compu stub ... more details
In mathematics, the Kobayashi metric is a pseudometric space pseudometric on complex manifold s introduced by harvs txt authorlink Shoshichi Kobayashi last Kobayashi year 1970 . On Teichm ller space the Kobayashi metric coincides with the Teichm ller metric . Definition If X is a complex manifold, the Kobayashi pseudometric d is the largest pseudo metric on X such that math displaystyle d f x ,f y le d x,y math for all holomorphic maps f from the unit disk D to X where for x and y in D , the distance d x , y is given by the Poincar metric . References Citation last1 Kobayashi first1 Shoshichi title Hyperbolic manifolds and holomorphic mappings url http books.google.com books?id rleQdMhML6kC publisher Marcel Dekker Inc. location New York series Pure and Applied Mathematics isbn 978 0 8247 1380 5 id MR 0277770 year 1970 volume 2 Category Complex manifolds ... more details
Image Metric Marvels.png thumb right The Metric Marvels, from left to right Meter Man, Liter Leader, Wonder Gram and Super Celsius The Metric Marvels is a series of seven animation animated educational short film shorts featuring songs about metre meters , litre liters , Celsius , and gram s, designed to teach United States American children how to use the metric system . They were produced by Thomas G. Yohe Yohe & George R. Newall Newall , the same advertising agency which produced American Broadcasting Company ABC s popular Schoolhouse Rock series, and first aired on the NBC television network in September 1978. Voices for the Metric Marvels shorts included Lynn Ahrens , Bob Dorough , Bob Kaliban , and Paul Winchell . Origins On December 23, 1975, President Gerald Ford signed the Metric Conversion Act into law this act gave official sanction for the United States to convert to the metric system of measurement. Traditionally, the United States has used and continues to prefer the United States customary units British Imperial system over metric measurements. Ford s presidential successor, Jimmy Carter , began to implement this law in earnest, helping to set up the U.S. Metric Board as a task force to determine when and how the U.S. would convert to metrics. The USMB suggested that the transition ... and television. The Metric Marvels was one such television PSA, aired during NBC s Saturday morning cartoons. The shorts featured four animated metric superheroes Liter Leader, Meter Man, Super Celsius ... the old English system and the new metric system. Episodes 1 1 Meet Meter Man superhero Meter Man helps people convert length and distance to metric terms 1 2 Mara Mara Marathon the difference between ... pounds to kilograms Effectiveness Ultimately, The Metric Marvels failed to convince Americans to convert to the metric system. Although it shared the animation style, song quality and voice actors ... links imdb title 0320888 The Metric Marvels tv.com show 19791 The Metric Marvels DEFAULTSORT Metric ... more details
In mathematics , a metric connection is a connection vector bundle connection in a vector bundle E equipped with a metric vector bundle metric Red link until someone wants to write an appropriate article. metric tensor isn t right. for which the inner product of any two vectors will remain the same when those vectors are parallel transport ed along any curve. Other common equivalent formulations of a metric connection include A connection for which the connection vector bundle covariant derivative s of the metric on E vanish. A connection principal bundle principal connection on the bundle of orthonormal frame s of E . A special case of a metric connection is the Levi Civita connection . Here the bundle E is the tangent bundle of a manifold. In addition to being a metric connection, the Levi Civita connection is required to be torsion tensor torsion free . Riemannian connections An important special case of a metric connection is a Riemannian connection . This is a connection math nabla math on the tangent bundle of a pseudo Riemannian manifold M , g such that math nabla X g 0 math for all vector fields X on M . Equivalently, math nabla math is Riemannian if the parallel transport it defines preserves the metric g . A given connection math nabla math is Riemannian if and only if math Xg Y,Z g nabla XY,Z g Y, nabla XZ math for all vector fields X , Y and Z on M , where math Xg Y,Z math denotes the derivative of the function math g Y,Z math along this vector field math X math . The Levi Civita connection is the torsion tensor torsion free Riemannian connection on a manifold. It is unique by the fundamental theorem of Riemannian geometry . External links http projecteuclid.org Dienst UI 1.0 Summarize euclid.cmp 1103858479 a pdf about this Category Connection mathematics Category Riemannian geometry geometry stub de Metrischer Zusammenhang ru ... more details
Unreferenced date December 2009 Orphan date December 2009 In mathematics , the product metric is a definition of metric mathematics metric on the Cartesian product of two metric spaces . As described below, the p product metric of the Cartesian product of n metric spaces is the Lp space p norm of the n vector of the norms of the n subspaces math d p mathbf x 1, dots, mathbf x n d 1 mathbf x 1 , dots, d n mathbf x n p math Definition Let math X, d X math and math Y, d Y math be metric spaces and let math 1 leq p leq infty math . Define the math p math product metric math d p math on math X times Y math by math d p left x 1 , y 1 , x 2 , y 2 right left d X x 1 , x 2 p d Y y 1 , y 2 p right 1 p math for math 1 leq p infty math math d infty left x 1 , y 1 , x 2 , y 2 right max left d X x 1 , x 2 , d Y y 1 , y 2 right . math for math x 1 , x 2 in X math , math y 1 , y 2 in Y math . DEFAULTSORT Product Metric Category Metric geometry ... more details
In mathematics , the metric derivative is a notion of derivative appropriate to Parametric equation parametrized path topology paths in metric space s. It generalizes the notion of speed or absolute velocity to spaces which have a notion of distance i.e. metric spaces but not direction such as vector space s . Definition Let math M, d math be a metric space. Let math E subseteq mathbb R math have a limit point at math t in mathbb R math . Let math gamma E to M math be a path. Then the metric derivative of math gamma math at math t math , denoted math gamma t math , is defined by math gamma t lim s to 0 frac d gamma t s , gamma t s , math if this Limit mathematics limit exists. Properties Recall that absolute continuity AC sup p sup I X is the space of curves I X such that math d left gamma s , gamma t right leq int s t m tau , mathrm d tau mbox for all s, t subseteq I math for some m in the Lp space L sup p sup space L sup p sup I R . For AC sup p sup I X , the metric derivative of exists for Lebesgue measure Lebesgue almost all times in I , and the metric derivative is the smallest m L sup p sup I R such that the above inequality holds. If Euclidean space math mathbb R n math is equipped with its usual Euclidean norm math math , and math dot gamma E to V math is the usual Fr chet derivative with respect to time, then math gamma t dot gamma t , math where math d x, y x y math is the Euclidean metric. References cite book author Ambrosio, L., Gigli, N. & Savar , G. title Gradient Flows in Metric Spaces and in the Space of Probability Measures publisher ETH Z rich, Birkh user Verlag, Basel year 2005 isbn 3 7643 2428 7 Category Differential calculus Category Metric geometry ... more details
In mathematics , a metric space is a Set mathematics set where a notion of distance called a metric mathematics metric between elements of the set is defined. The metric space which most closely corresponds ... of metric is a generalization of the Euclidean metric arising from the four long known properties of the Euclidean distance. The Euclidean metric defines the distance between two points as the length ... depend on the metric chosen, and by using a different metric we can construct interesting non Euclidean geometries such as those used in the theory of general relativity . A metric space also induces ... abstract topological space s. History Maurice Fr chet introduced metric spaces in his work Sur quelques points du calcul fonctionnel , Rendic. Circ. Mat. Palermo 22 1906 1 74. Definition A metric space is an ordered pair math M,d math where math M math is a empty set non empty set and math d math is a metric mathematics metric on math M math , i.e., a function math d M times M rightarrow mathbb R ... or simply distance . Often, math d math is omitted and one just writes math M math for a metric space if it is clear from the context what metric is used. Examples of metric spaces Finite Metric space ... two locations can be defined as the length of the shortest route connecting those locations. To be a metric ... distance , are complete space complete metric spaces. The rational number s with the same distance also form a metric space, but are not complete. Any normed vector space is a metric space by defining math d x,y lVert y x rVert math , see also ml Metric 28mathematics 29 Relation of norms and metrics ... y math . The British Rail metric also called the Post Office metric or the SNCF metric on a normed ... math 0 math at most once then the metric is defined on math S math by math d x,y f x f y math for distinct .... If math M,d math is a metric space and math X math is a subset of math M math , then math X math becomes a metric space by restricting math d math to math X times X math . The discrete metric ... more details
The Vaidya metric describes exterior gravitational field due to a radiating star. The metric was proposed by P. C. Vaidya in 1943. It is is a non static generalization of the Schwarzschild metric . ds sup 2 sup 1 2M u r du sup 2 sup 2 du dr r sup 2 sup d sup 2 sup sin sup 2 sup d sup 2 sup . where M u is the mass parameter. References T. Padmanabhan 2010 . http books.google.com books?id BSfe2MjbQ3gC Gravitation Foundations and Frontiers . Cambridge University Press. ISBN 0521882230. pp. 313 314. Category Exact solutions in general relativity Category Gravitation Category Astrophysics ... more details
File Metric clock.JPG thumb right 220px Illustration of Metric Clock Metric time is the measure of time interval using the metric system , which defines the second as the base unit of time, and multiple and submultiple units formed with SI prefix metric prefixes , such as kiloseconds and milliseconds ... upon the metric definition of the second. Other units of time, the minute , hour , and day , are accepted for use with the SI modern metric system , but are not part of it. History When the metric system ... two years earlier, but was set aside at the same time the metric system was inaugurated, and did not follow the metric pattern of a base unit and prefixed units. James Clerk Maxwell and Elihu Thomson ... gram second system of units cgs in 1874 , in order to derive electric and magnetic metric units, following ... of a mean solar day was made one of the original base units of the modern metric system, or International ... made for alternative base units of metric time. On March 28, 1794, the president of the commission which developed the metric system , Joseph Louis Lagrange , proposed in a report to the commission ... and submultiple units formed with metric prefixes. Such alternative units have not gained any notable ... the standard hour the base unit of metric time, but the proposal did not gain acceptance and was eventually ... s Maps empires of time By Peter Louis Galison ref Alternative meaning Metric time is sometimes used to mean decimal time . Metric time properly refers to measurement of time interval, while decimal ... , which are now usually based upon the metric base unit of time, the second. Some proposals for alternative units of metric time are accompanied by decimal time scales for telling the time of day based upon these alternative units. Other proposals called metric time refer only to decimal time, and therefore are not truly metric. France French decimal time is sometimes called metric time because it was introduced around the same time as the metric system and both were decimal, but it was not part ... more details
Infobox musical artist See Wikipedia WikiProject Musicians Name Alex Metric Landscape yes Background non performing personnel Alias Alex Drury Origin London , England Genre Electro House Years active 2008 present Associated acts Phoenix band Phoenix , Bloc Party , Gorillaz URL URL alexmetric.com Alex Metric born Alex Drury is a British musician, DJ and producer. He has released numerous EPs, remixed artists such as Depeche Mode, La Roux, NERD, Phoenix, and Bloc Party as well as working as a producer for acts such as The Infadels , Charli Xcx and Adam Freeland . DJ career Alex Metric came to prominence in 2008 after being voted Best Remixer of the Year by London radio station XFM. ref http www.marineparade.net artists alex metric ref In 2009, Metric joined Radio 1 s In New DJs We Trust with his first show on June 12, 2009. In January 2010 Clash Music magazine ranked him at number two in their list of the best DJs of 2010, second only to Brodinski. ref http www.clashmusic.com feature the djs of 2010 alex metric brodinski ref Alex Metric is a regular at various European music festivals including Glastonbury Festival Glastonbury , Exit Transmusicales, Bestival and V Festival with his DJ sets and Live shows. Discography ref http www.discogs.com artist Alex Metric ref big Singles and EPs big Deadly On A Mission E.P 2008 In Your Machine 2008 Head Straight EP 2009 It Starts EP 2009 Open Your Eyes Single 2011 big Remixes big Autokratz Stay The Same Splittr All Alone Black Daniel Gimme What You Got Locarnos Make Up Your Mind Alphabeat Boyfriend Infadels Free Things for Poor People Freeland Under Control Primary 1 Ho Lord Ladyhawke Paris Is Burning Phoenix Lisztomania Kenneth Bager I ... . NAME Metric, Alex ALTERNATIVE NAMES SHORT DESCRIPTION DATE OF BIRTH PLACE OF BIRTH DATE OF DEATH PLACE OF DEATH DEFAULTSORT Metric, Alex Category British electronic musicians Category British radio presenters Category Remixers Category Living people ru Alex Metric ... more details
dablink This article is about the measurement of performance. For metric units, see Metric system and International System of Units . For disambiguous use, see Metric disambiguation A metric is a standard unit of measure , such as meter or mile for length, or gram or ton for weight, or more generally, part of a system of parameters, or systems of measurement , or a set of ways of for quantitatively and periodically measuring, assessing, controlling or selecting a person, process, event, or institution, along with the procedures to carry out measurements and the procedures for the interpretation of the assessment in the light of previous or comparable assessments. Metrics are usually specialized by the subject area, in which case they are valid only within a certain domain and cannot be directly benchmarked or interpreted outside it. This factor severely limits the applicability of metrics, for instance in comparing performance across domains. The prestige attached to them may be said to relate to a quantifiability fallacy , the erroneous belief that if a conclusion is reached by quantitative measurement, it must be vindicated, irrespective of what parameters or purpose the investigation is supposed to have. In business, they are sometimes referred to as key performance indicators , such as overall equipment effectiveness , or key risk indicators . In the field of Facilities Management, a key metric is the Facility Condition Index , or FCI . For a measure to be a metric it has to satisfy four properties 1 non negativity, 2 reflexivity, 3 symmetry, and 4 triangular inequality ref name AG S. Theodoridis and K. Koutroumbas, Pattern Recognition , Fourth Edition, Academic Press, 2009, p. 602. ref references See also Indicator Measure mathematics Measurement Metric mathematics Metrics networking Software metric Category Metrics de Metrik ... more details