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Minimum message length





Encyclopedia results for Minimum message length

  1. Minimum message length

    Minimum message length MML is a formal information theory restatement of Occam s Razor even when models ... Statistical and Inductive Inference by Minimum Message Length , Springer Verlag Information Science ... 22statistical and inductive inference by minimum message length 22&dq wallace 22statistical and inductive inference by minimum message length 22 sample pages . A http www.allisons.org ll Images People ... reprint 42 4 270 Minimum Message Length and Kolmogorov Complexity by http www.csse.monash.edu.au dld ... www.csse.monash.edu.au dld David.Dowe.publications.html ComleyDowe2005 Minimum Message Length, MDL ... 901 982 . http www.csse.monash.edu.au lloyd tildeMML Minimum Message Length MML , LA s MML introduction, http www.allisons.org ll MML MML alt. . http www.csse.monash.edu.au dld MML.html Minimum Message Length MML , researchers and links . http www.csse.monash.edu.au mml Another MML research website ... also Minimum description length a supposedly non Bayesian alternative with a possibly different ... NeedhamDowe2001 Message Length as an Effective Ockham s Razor in Decision Tree ... 4C100C6F 2255 40FF A2ED 02FC49FEBE7C&ttype 2&tid 10478 Advances in Minimum Description Length Theory ... message is more likely to be correct where the message consists of a statement of the model, followed ... Shannon s A Mathematical Theory of Communication 1949 states that in an optimal code, the message length in binary of an event math E math , math operatorname length E math , where math E math has probability math P E math , is given by math operatorname length E log 2 P E math . Bayes s theorem states .... Since math operatorname length H and E log 2 P H and E math , the most probable model will have the shortest such message. The message breaks into two parts math log 2 P H and E log 2 P H log 2 P E H math . The first is the length of the model, and the second is the length of the data, given ... if you change from measuring length to volume or from Cartesian co ordinates to polar co ordinates ...   more details



  1. Minimum description length

    a related concept called Minimum Message Length MML . The difference between MDL and MML is a source ...The minimum description length MDL principle is a formalization of Occam s Razor in which the best hypothesis for a given set of data is the one that leads to the best data compression compression of the data . MDL was introduced by Jorma Rissanen in 1978. It is an important concept in information theory and learning theory . ref name mdl cite web url http www.mdl research.org title Minimum Description Length last first date publisher University of Helsinki accessdate 2010 07 03 ref ref name mit cite news url http mitpress.mit.edu catalog item default.asp?ttype 2&tid 11155 title the Minimum Description Length principle last Gr nwald first P. date June 2007 publisher MIT Press accessdate 2010 ... 2255 40FF A2ED 02FC49FEBE7C&ttype 2&tid 10478 title Advances in Minimum Description Length Theory and Applications ... introduction to Model Selection, Kolmogorov Complexity and Minimum Description Length. last Nannen ... Further reading http www.mdl research.org Minimum Description Length on the Web , by the University ... Analysis DEFAULTSORT Minimum Description Length Category Algorithmic information theory de Minimum Description Length fr Longueur de description minimale ja zh ... in that language thus the program effectively represents the data. The length of the shortest ... is fair. The code length according to this code is always exactly 1,000 bits. The second consists ... that the coin is not fair. Say that we observe 510 heads and 490 tails. Then the code length according ... to one correspondence between code length function mathematics functions and probability distribution ... distribution math P math , it is possible to construct a code math C math such that the length in bits of math C x math is equal to math log 2 P x math this code minimizes the expected code length ... to view MDL as equivalent to Bayesian inference code length of the model and code length of model and data ...   more details



  1. The Message

    The Message may refer to Literature The Message Animorphs The Message Animorphs , the fourth book in the Animorphs series The Message Bible , a contemporary rendering of the Holy Bible The Message short story The Message short story , by Isaac Asimov The Message , a short story by Andrew J McKiernan Music The Message Grandmaster Flash and the Furious Five album The Message Grandmaster Flash and the Furious Five album , the 1982 debut album by Grandmaster Flash & the Furious Five The Message Grandmaster Flash and the Furious Five song The Message Grandmaster Flash and the Furious Five song , the above album s title track The Message J. R. Monterose album The Message J. R. Monterose album , a 1959 album by jazz saxophonist J. R. Monterose The Message MFG album The Message MFG album , a 2001 album by Message From God The Message Gerry Weil album The Message Gerry Weil album , a 1971 Venezuelan music album by Gerry Weil The Message Sirius XM , a United States radio station The Message Nas song The Message Nas song , a song from the album It Was Written by Nas The Message , a song from the album 2001 Dr. Dre album 2001 by Dr. Dre The Message , a song from the self titled album of Sofia Shinas The Message , a new wave band from Nidderdale, Yorkshire, England. Released 2 Singles, Empty Promise and a Empty Promise released by singer & drummer separately from original line up 1978 1982 The Message ... Television The Message Firefly The Message Firefly , the twelfth episode of science fiction television series Firefly The Message Prison Break episode The Message Prison Break episode , the thirty seventh episode of the American television series Prison Break The Message The Outer Limits The Message The Outer Limits , an episode of The Outer Limits television show The Message TV series The Message TV series , a surreal comedy series Film The Message 1918 film The Message 1918 film , starring A. V. Bramble Mohammad, Messenger of God , also known as The Message , a 1976 film about the story of Islam ...   more details



  1. Message switching

    In telecommunications , message switching was the precursor of packet switching , where messages were routed in their entirety, one hop at a time. It was first introduced by Leonard Kleinrock in 1961. Message ... network s. Each message is treated as a separate entity. Each message contains addressing information ... the same path. Each message is stored usually on hard drive due to RAM limitations before being transmitted ... application for Message Switching. A delay in delivering email is allowed unlike real time ... of message switching systems. When this form of switching is used, no physical path is established ... by the message switching networks. A message switch is transactional . It can store data or change ... form at the receive end. Message switching multiplexes data from different sources onto a common facility. A message switch is a one of the switching technology. In message switching, when a message ... and forward delays Since message switching stores each message at intermediate nodes in its entirety before forwarding, messages experience an end to end delay which is dependent on the message length, and the number of intermediate nodes. Each additional intermediate node introduces a delay which is at minimum the value of the minimum transmission delay into or out of the node. Note that nodes could ... will be experienced along the message path. In a message switching centre an incoming message is not lost ... route and retransmitted when the required circuit becomes free. Message switching is thus an example of a delay system or a queuing system. Message switching is still used for telegraph traffic .... Advantages The advantages to Message Switching are Data channels are shared among communication devices improving the use of bandwidth. Messages can be stored temporarily at message switches, when ... store and forward v1.gif thumb Store and forward delays See also Short message service SMS circuit switching Message Oriented Middleware message oriented middleware References Leonard Kleinrock, http ...   more details



  1. Feature length

    Feature length is List of motion picture terminology motion picture terminology referring to the length of a feature film . According to the rules of the Academy of Motion Picture Arts and Sciences , a feature length film motion picture must have a running time of more than 40 minutes to be eligible for an Academy Award . ref name oscars.org cite web url http www.oscars.org press pressreleases 2008 08.12.29.html title 281 Feature Films in Competitian for 2008 Oscar accessdate 2010 09 22 work Academy of Motion Picture Arts and Sciences publisher date ref The term may also be applied to non feature films with the minimum length, such as television film television movies and direct to video releases. Feature length can also be used to describe an episode of a television program TV series that has been extended to the length of a feature film. Such feature length episodes are usually television pilot series pilots , television special holiday specials or season finale s. History The earliest known feature length fictional film narrative film in the world was the Australian production The Story of the Kelly Gang 1906 , which was 60 minutes in length. Five reel Motion picture terminology reel features became common practice in the film industry industry in 1915. During the silent film silent era a one reel short film short ran for an average of 10 minutes, and a two reeler usually a comedy for 20 minutes, thus a feature was around 50 minutes or more. See also List of motion picture terminology Short film References reflist Category Film and video terminology film term stub ...   more details



  1. Defining length

    Technical date August 2011 In genetic algorithms and genetic programming defining length L H is the maximum distance between two defining symbols that is symbols that have a fixed value as opposed to symbols that can take any value, commonly denoted as or in schema genetic algorithms schema H. In tree GP schemata, L H is the number of links in the minimum tree fragment including all the non symbols within a schema H. ref name UCL1 cite web title Foundations of Genetic Programming url http www.cs.ucl.ac.uk staff W.Langdon FOGP publisher UCL UK accessdate 13 July 2010 ref Example Schemata 00 0 , 1 1 , 01 , and 0 have defining lengths of 4, 4, 1, and 0, respectively. Lengths are computed by determining the last fixed position and subtracting from it the first fixed position. In genetic algorithms as the defining length of a solution increases so does the susceptibility of the solution to disruption due to mutation or Crossover genetic algorithm cross over . References reflist comp sci stub Use dmy dates date August 2011 Category Genetic algorithms zh ...   more details



  1. Rayleigh length

    s is related to the Rayleigh length by ref name Siegman1986 math Theta mathrm div 2 frac w 0 z R . math ... Depth of field References reflist http www.rp photonics.com rayleigh length.html Rayleigh length ...   more details



  1. Sentence length

    Sentence length may refer to In linguistics, the length of a Sentence linguistics In penology, the length of a Sentence law In music, the length of a Sentence music dab ...   more details



  1. Length (disambiguation)

    wiktionarypar Length Length in its basic meaning is the long dimension of an object. Length may also refer to Length measurement Length phonetics , in phonetics Vowel length Geminate consonant Arc length Length of a module , in abstract algebra Length of a polynomial Vector field length in vector calculus Line and length in cricket Horse length in equestrianism Nautical term Length overall disambig als L nge az Uzunluq d qiql dirm be x old ca Longitud desambiguaci de L nge es Longitud desambiguaci n nl Lengte nds L ng pl D ugo sv L ngd olika betydelser ...   more details



  1. Scantling length

    orphan date December 2009 Scantling Length is a distance slightly less than the waterline length of a ship, and generally less than the overall length of a ship. In the American Bureau of Shipping ABS Rules for Building and Classing Steel Vessels, it is defined as the distance on the Waterline summer load line from the fore side of the stem to the centerline of the rudder stock. Scantling length need not be less than 96 , nor more than 97 of the length of the summer load line. Most other Classification society classification societies use a similar definition of scantling length to define the general length of a ship . The scantling length is used by classification society classification societies for all calculations where the waterline length, overall length, displacement fluid displacement length, etc is called for. Naval architects wishing to comply with class rules would also use the scantling length. References http www.eagle.org absdownloads downloads senddownload.cfm?id 443 ABS Rules for Building and Classing Steel Vessels, Part 3, Hull Construction and Equipment, Rule 3.1.1 3.1, 2007. Category Naval architecture ...   more details



  1. Scale length

    disambig Length scale , or scale length a significant concept in physics used to define the order of magnitude of a system Scale height , or scale length a specific parameter in physics denoting the distance over which a quantity decreases by a factor of e Scale string instruments a measurement of the length of a musical instrument string ...   more details



  1. Thou (length)

    unit of length name thou m 0.0000254 accuracy 3 A thou IPAc en icon a , also known as a mil , is the verbalized abbreviation for thousandth s of an inch. It is a Units of measurement unit of length equal to 0.001 inch . The plural of thou is also thou e.g., a measurement of one hundredth of an inch is written as 10 thou , while the plural of mil is mils . The th in thou is pronounced as in thousand , IPAc en a , unlike the pronoun thou , IPA a , where the th is pronounced as in that . Both words come from root linguistics roots meaning 10 sup 3 sup thou from the English thousand , which is from the Germanic languages Germanic root for 1000, and mil from the Romance languages Romance root for 1000. Contexts of use The thou or mil is sometimes used in engineering , machining, and in the specification of The thickness of items such as paper, film, foil, wires, paint coatings, latex gloves, plastic sheeting, and fibers Manufacturing dimensions and tolerance engineering tolerances , such as In the manufacture of automobile engines A typical example is the thickness of the head gasket, or the amount of material to be removed from the head to adjust the compression ratio of the cylinders. In the servicing of automobile engines Typical examples include a spark plug gap or ignition points gap. The manufacture of Printed Circuit Board printed circuit boards PCBs Tolerance specifications ... of length . This metric scale of thinking represents slightly smaller distances than does .... On CNC machine tools, all linear motion is based on the minimum increment of the control system, which ... rounded to the nearest minimum increment . Usage notes on mil versus thou and thousandths Some ... the driving factor in this usage shift. Equivalence to other units of length 1 thou is exactly equal ... web last Edkins first Jo title Small units work Imperial Measures of Length publisher Jo Edkins url ... units Category Metalworking terminology Category Units of length Category Decimalisation ast Mil unid ...   more details



  1. Length of a module

    In abstract algebra , the length of a module mathematics module is a measure of the module s size . It is defined to be the length of the longest chain of submodule s and is a generalization of the concept of dimension linear algebra dimension for vector space s. Modules with finite length share many important properties with finite dimensional vector spaces. Other concepts used to count in ring and module ... to define. There are also various ideas of dimension that are useful. Finite length commutative ... math N 0 subsetneq N 1 subsetneq cdots subsetneq N n math we say that n is the length of the chain. The length of M is defined to be the largest length of any of its chains. If no such largest length exists, we say that M has infinite length. A ring R is said to have finite length as a ring if it has finite length as left R module. Examples The zero module is the only one with length 0. Modules with length 1 are precisely the simple module s. For every finite dimensional vector space viewed as a module over the base field mathematics field , the length and the dimension coincide. The length ... M has finite length if and only if it is both Artinian module Artinian and Noetherian module Noetherian . If M has finite length and N is a submodule of M , then N has finite length as well, and we have length N length M . Furthermore, if N is a proper submodule of M i.e. if it is unequal to M , then length N length M . If the modules M sub 1 sub and M sub 2 sub have finite length, then so does their direct sum of modules direct sum , and the length of the direct sum equals the sum of the lengths ... sequence of R modules. Then M has finite length if and only if L and N have finite length, and we have length M length L length N . This statement implies the two previous ones. A composition series ... such that math N i 1 N i mbox is simple for i 0, dots,n 1 math Every finite length module M has a composition series, and the length of every such composition series is equal to the length of M . References ...   more details



  1. Contour length

    Contour length is a term used in molecular physics . The contour length of a polymer chain a big molecule consisting of many similar smaller molecules is its length at maximum physically possible Extension metaphysics extension . ref http iupac.org goldbook C01308.pdf Contour length in polymers http www.iupac.org publications compendium index.html IUPAC Compendium of Chemical Terminology , 2nd Edition, 1997 ref References small references small Category Polymer physics ...   more details



  1. Characteristic length

    Context date September 2010 A characteristic length is an important dimension that defines the scale of a physical system. Often such a length is used as an input to a formula in order to predict some characteristics of the system. Examples Reynolds number Biot number Nusselt number External links http www.answers.com topic characteristic length Definition physics stub DEFAULTSORT Characteristic Length Category Physical constants de Charakteristische L nge nl Hydraulische diameter pt Comprimento caracter stico ...   more details



  1. Length scale

    Unreferenced stub auto yes date December 2009 In physics , length scale is a particular length or distance determined with the precision of one order or a few orders of magnitude. The concept of length scale is particularly important because physical phenomena of different length scales cannot affect each other and are said to decouple. The decoupling of different length scales makes it possible to have a self consistent theory that only describes the relevant length scales for a given problem. Scientific reductionism says that the physical laws on the shortest length scales can be used to derive the effective description at larger length scales. The idea that one can derive descriptions of physics at different length scales from one another can be quantified with the renormalization group . In quantum mechanics the length scale of a given phenomenon is related to its de Broglie wavelength ... that is being probed. In relativistic mechanics time and length scales are related by the speed of light . In relativistic quantum mechanics or relativistic quantum field theory , length scales .... Often in high energy physics natural units are used where length, time, energy and momentum scales are described in the same units usually with units of energy such as GeV . Length scales are usually ... units of length squared and is measured in barn unit barn s. The cross section of a given process is usually the square of the length scale. Examples The atomic length scale is math ell a sim 10 10 ... ell a sim 1 alpha m e math . The length scale for the strong interaction s or the one derived from ... are roughly comparable. This length scale is determined by the range of the Yukawa potential . The lifetimes of strongly interacting particles, such as the rho meson , are given by this length scale ... are several times the associated energy scale 500 MeV to 3000 MeV . The electroweak length scale is shorter ... which is roughly 100 GeV. This length scale would be the distance where a Yukawa force is mediated ...   more details



  1. Capillary length

    In fluid mechanics , capillary length is a characteristic length scale for fluid subject to a body force from gravity and a surface force due to surface tension . The capillary length is defined as ref name Batchelor G.K. Batchelor, An Introduction To Fluid Dynamics , Cambridge University Press 1967 ref math lambda c sqrt frac gamma rho g math , where math g math is the acceleration due to gravity and math rho math is the density of the fluid, and math gamma math is the surface tension of the fluid fluid interface. For clean water at standard temperature and pressure, the capillary length is 2mm. A capillary surface that has a characteristic length smaller than the capillary length can be considered a low Bond number surface. A sessile drop whose largest dimension is smaller than the capillary length, for example, will take the shape of spherical cap , which is the solution to the Young Laplace equation with gravity completely absent. See also Surface tension Young Laplace equation Capillarity References references fluiddynamics stub Category Fluid dynamics fr Longueur capillaire no Kapillarlengde ...   more details



  1. Minimum distance

    Otheruses4 minimum distance minimum distance estimation Minimum distance estimation The term minimum distance is used in several ways In geometry , the minimum distance of a collection of points P in a space is the smallest distance between any two points of the space. In coding theory , the term refers to the Block code The distance d minimum distance of a block code . Calculation Geometry In the real plane, points P corresponding to all integer points i ,  j have a minimum distance of 1. In two dimensional geometry, the minimum distance between two points can be found using the Pythagorean theorem . Coding Theory In coding theory minimum distance is often calculated using the Hamming distance of two codewords. It can also be calculated in other ways. For example, the minimum distance of a linear code can be calculated by finding the smallest number of linearly dependent columns in its parity check matrix . See also Dijkstra s algorithm References Hill, Raymond. 1988 . A First Course In Coding Theory , New York Oxford University Press. Category Coding theory math stub ...   more details



  1. Length of stay

    Unreferenced stub auto yes date December 2009 Length of stay LOS is a term commonly used to measure the duration of a single episode of hospitalization. Inpatient days are calculated by subtracting day of admission from day of wikt discharge discharge . However, persons entering and leaving a hospital on the same day have a length of stay of one. See hospital Terminology hospital . A popular statistic associated with length of stay is the average length of stay ALOS , calculated by dividing the sum of inpatient days by the number of patients admissions with the same Diagnosis related group DRG classification. A variation in the calculation of ALOS could be consider only length of stay during the period under analysis. The prospective payment system in U.S. Medicare United States Payment for services Medicare for reimbursing hospital care promotes shorter LOS by paying the same amount for procedures, regardless of days spent in the hospital. DEFAULTSORT Length Of Stay Category Medical terms Med stub de Verweildauer ...   more details



  1. Planck length

    Refimprove date January 2008 unit of length name Planck length m 0.00000000000000000000000000000000001616199 accuracy 5 Number of significant figures In physics , the Planck length , denoted sub P sub , is a unit of length , equal to val 1.616199 97 e 35 u metre s . It is a Fundamental unit base unit in the system of Planck units . The Planck length can be defined from three fundamental physical ... The Planck length math ell P math is defined as math ell P sqrt frac hbar G c 3 approx 1.616 199 97 ... Length ref ref NIST , http physics.nist.gov cgi bin cuu Value?plkl Planck length , http physics.nist.gov cuu Constants index.html NIST s published CODATA constants ref The Planck length is about 10 sup 20 sup of the diameter of a proton , and thus is an extremely small length. Measurements of electron ......22..102D ref which is a value still 10 sup 15 sup larger than Planck length. The Planck length ... significance of the Planck length is a topic of research. Because the Planck length is so many ... this length scale directly. Research on the Planck length is therefore mostly theoretical. In some forms of quantum gravity, the Planck length is the length scale at which the structure of spacetime ... between two locations less than one Planck length apart. The precise effects of quantum gravity are unknown ... at Planck length scale. The Planck area, equal to the square of the Planck length, plays a role in black .... In this case the Planck length would have no fundamental physical significance, and quantum gravitational effects would appear at other scales. In string theory , the Planck length is the order ... area value. In doubly special relativity , the Planck length is observer invariant. According to the generalized uncertainty principle, the Planck length is, within a factor of order unity, the shortest measurable length. The search of the laws of physics valid at the Planck length are a part of the search ... Orders of magnitude length Planck energy Planck epoch Planck scale Planck time Planck unit Max Planck ...   more details



  1. Short of a length

    Orphan date February 2009 Refimprove date April 2007 Short of a length sometimes referred to as back of a length or short of a good length is a term used in the sport of cricket . It describes a delivery from the Bowler cricket bowler that pitches short of the optimum length. Length in cricket defines where the ball pitches on the wicket. ref http content www.cricinfo.com ci content story 239756.html A glossary of cricket terms & 124 Cricket News & 124 Global & 124 ESPN Cricinfo ref A good length ball is one that pitches at a distance that makes it difficult for the batsman to ascertain whether to play the ball on the front foot or back foot. A bouncer is a ball that passes the batsman above chest height. A short of a length delivery is one that pitches in the area between the bouncer and good length balls. This delivery can be dangerous for a batsman as it can bounce higher into the midriff. Also, the delivery can be extremely useful to a seam bowling seam bowler . Good exponents include Stephen Harmison and Glenn McGrath . References Reflist See also http en.wikipedia.org wiki List of cricket terms Category Cricket captaincy and tactics Category Cricket deliveries Category Cricket terminology cricket term stub ...   more details



  1. Reciprocal length

    Reciprocal length or inverse length is a measurement used in several branches of science and mathematics . As the reciprocal of length , common units used for this measurement include the reciprocal metre or inverse metre m sup &minus 1 sup , the reciprocal centimetre or inverse centimetre cm sup &minus 1 sup , and, in optics , the dioptre . Quantities measured in reciprocal length include absorption coefficient or attenuation coefficient , in materials science curvature of a curve line , in mathematics gain , in laser physics magnitude vector magnitude of vector mathematics and physics vector s in reciprocal space , in crystallography more generally any spatial frequency e.g. in cycles per unit length optical power of a lens optics lens , in optics rotational constant of a rigid rotor , in quantum mechanics wavenumber , or magnitude of a wavevector , in spectroscopy Further reading Cite paper title A two parameter perturbation series for the reciprocal length of polymer chains and subchains lastname Barrett firstname A. J. journal Journal of Physics A Mathematical and General volume 16 number 10 date 11 July 1983 url http iopscience.iop.org 0305 4470 16 10 027?ejredirect migration DEFAULTSORT Reciprocal Length Category Length Category Physical quantities pt Comprimento rec proco uk ...   more details



  1. Waterline length

    Image LOA LWL.svg thumb right 300px LOA Length Overall & LWL Waterline Length Image Ship length measurements.png thumb right 300px Detailed hull dimensions The Waterline length originally Load Waterline Length , abbreviated to LWL is a measurement of ship s and boat s. The term denotes the length of the vessel at the point where it sits in the water. It excludes the total length of the boat, such as features that are out of the water. Most boats rise outwards at the Bow ship bow and stern , so a boat may be quite a bit longer than its waterline length. In a ship with such raked stems, naturally the waterline length changes as the draft hull draft of the ship changes, therefore it is measured from a defined loaded condition. Length at the waterline is often abbreviated as lwl , w l , w.l. or wl . This measure is essential in determining a lot of properties of a vessel, such as how much water it displaces, where the bow and stern waves are, hull speed , amount of bottom paint needed, etc. See also Length overall References cite book last Hayler first William B. coauthors Keever, John M. title American Merchant Seaman s Manual year 2003 publisher Cornell Maritime Pr isbn 0 87033 549 9 cite book last Turpin first Edward A. authorlink coauthors McEwen, William A. title Merchant Marine Officers Handbook url edition 4th series date year 1980 month publisher Cornell Maritime Press location Centreville, MD isbn 0 87038 056 X pages chapter chapterurl Ship measurements Category Nautical terms Category Ship construction naval stub fr Longueur de flottaison is Vatnsl na nl Waterlijn no Lengde ved vannlinje sv Konstruktionsvattenlinje ...   more details



  1. Coherence length

    In physics , coherence length is the wave propagation propagation distance from a coherence physics coherent source to a point where a wave e.g. an electromagnetic wave maintains a specified degree of coherence . The significance is that Interference wave propagation interference will be strong within a coherence length of the source, but not beyond it. This concept is also commonly used in telecommunication engineering. This article focuses on the coherence of Classical physics classical electromagnetic fields. In quantum mechanics , there is a mathematically analogous concept of the Coherence physics Quantum coherence quantum coherence length of a wave function . Formulas In radio band systems, the coherence length is approximated by math L c over n , Delta f , math where c is the speed of light in a vacuum, n is the refractive index of the Medium optics medium , and math Delta f math is the Bandwidth signal processing bandwidth of the source. In optical information transfer communications , the coherence length math L math is given by math L 2 ln 2 over pi n lambda 2 over Delta lambda ... length is usually applied to the optical regime. The expression above is a frequently used approximation ... definition of coherence length has been suggested The coherence length can be measured using a Michelson interferometer and is the optical path length difference of a self interfering laser beam which ... length may be reduced by propagation factors such as dispersion optics dispersion , scattering , and diffraction . Lasers Multimode helium neon laser s have a typical coherence length of 20  cm, while the coherence length of singlemode ones can exceed 100  m. Semiconductor laser s reach ... repeated after cavity length distances up to this long coherence length. See also Portal Physics Coherence time Superconducting coherence length References Reflist 2 FS1037C MS188 DEFAULTSORT Coherence Length Category Electromagnetic radiation Category Optics Category Waves de Koh renzl nge ja ...   more details



  1. Path length

    Unreferenced date December 2009 In chemistry , the path length is defined as the distance that light UV Visible spectrum VIS travels through a sample in an analytical cell. Typically, a sample cell is made of quartz , glass, or a plastic rhombic cuvette with a volume typically ranging from 0.1 mL to 10 mL or larger used in a spectrophotometer . For the purposes of spectrophotometry i.e. when making calculations using the Beer Lambert law the path length is measured in centimeters rather than in meters . In a computer network , the path length is one of many possible router metrics used by a router computing router to help determine the best Routing route among multiple routes to a destination. It consists of the end to end hop count from a source to a destination over the network. More simply, in general computer terminology, it can mean simply the total number of instructions executed from point A to point B in a program Instruction path length . In physics, the path length is defined as the total distance an object travels. Unlike displacement, which is the total distance an object travels from a starting point, path length is the total distance travelled, regardless of where it travelled. DEFAULTSORT Path Length Category Spectroscopy Category Computer networking Category Computing terminology ...   more details




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