Wikify date March 2011 A limitingfactor or limiting resource is a factor that controls a process, such as organism growth or species population , size, or distribution. The availability of food, predatation pressure, or availability of shelter are examples of factors that could be limiting for an organism.An example of a limitingfactor is sunlight in the rainforest, where growth is limited to all plants in the understory unless more light becomes available. A number of potential factors could influence a biological process, but importantly only one is limiting at any one place and time. This recognition that there is always a single limitingfactor is vital in ecology and the concept has parallels in numerous other processes. Some other limiting factors in biology are water availability, temperature, shelter, or predatation. See Liebig s Law . References Raghothama, K. G. & Karthikeyan, A.S. 2005 Phosphate acquisition. Plant and Soil, 274 37 49. Taylor, W. A. 1934 . Significance of extreme or intermittent conditions in distribution of species and management of natural resources, with a restatement of Liebig s law of the minimum. Ecology , 15 374 379. Shelford, V. E. 1952 . Paired factors and master factors in environmental relations. Illinois Acad. Sci. Trans. , 45 155 160 Sundareshwar P.V., J.T. Morris, E.K. Koepfler, and B. Fornwalt. 2003 . Phosphorus limitation of coastal ecosystem processes. Science 299 563 565. DEFAULTSORT LimitingFactor Category Natural resources Category Production economics Ecology stub fr Facteur limitant he ht Fakt limitatif lt Ribojantys veiksniai nl Beperkende factor ja fi Minimitekij fi Minimitekij uk ... more details
for limiting related to the Law of the Minimum limitingfactorLimiting Any process by which a specified characteristic usually amplitude of the output of a device is prevented from exceeding a predetermined value. Limiting can refer to non linear clipping , in which a signal is passed through normally but sheared off when it would normally exceed a certain threshold. It can also refer to a type of variable gain audio level compression , in which the gain of an amplifier is changed very quickly to prevent the signal from going over a certain amplitude. Hard limiting clipping signal processing clipping i is a limiting action in which there is a over the permitted dynamic range , negligible variation in the expected characteristic of the output Signalling telecommunication signal , and b a steady state signal, at the maximum permitted level, for the duration of each period when the output would otherwise be required to exceed the permitted dynamic range in order to correspond to the transfer function of the device. Soft limiting is limiting in which the transfer function of a device is a function of its instantaneous or integrated output level. The output waveform is therefore distorted, but not clipped. FS1037C MS188 See also Limiter Category Dynamics processing ... more details
Limiting point has the following meanings in mathematics Limit mathematics Limit Limit point Limiting point of coaxal circles disambig ... more details
, 2005. ISBN 0618372067. See also Limitingfactor Category Chemical reactions Category Stoichiometry ...In a chemical reaction , the limiting reagent , also known as the limiting reactant , is the chemical substance substance which is totally consumed when the chemical reaction is complete. The amount of product formed is limited by this reagent since the reaction cannot proceed further without it. The other reagents may be present in excess of the quantities required to react with the limiting reagent. The limiting reagent must be identified in order to calculate the yield chemistry percentage yield of a reaction, since the theoretical yield is defined as the amount of product obtained when the limiting reagent reacts completely. Given the balanced chemical equation which describes the reaction, there are several equivalent ways to identify the limiting reagent and evaluate the excess quantities of other reagents. Method 1 Comparison of reactant amounts This method is most useful when there are only two reactants. One reactant A is chosen, and the balanced chemical equation is used to determine the amount of the other reactant B necessary to react with A. If the amount of B actually present exceeds the amount required, then B is in excess and A is the limiting reagent. If the amount of B present is less than required, then B is the limiting reagent. Example for two reactants Consider the combustion of benzene , represented by the following chemical equation math 2 C 6H 6 15 O 2 rightarrow .... Benzene is then the limiting reagent. This conclusion can be verified by comparing the mole ... that benzene is the limiting reagent. Method 2 Comparison of product amounts which can be formed ... number of reactants more easily than the first method. Example Which reactant is limiting if 20.0 ... sub 2 sub O sub 3 sub present, which is therefore the limiting reagent. Shortcut It can be seen ... for each reagent, and the reagent that has the lowest answer to this formula is the limiting reagent ... more details
Self limiting may refer to Self limiting biology , an organism or colony of organisms which limits its own growth Governor device , used to control the speed of mechanical equipment to prevent it from operating at unsafe speeds disambig ... more details
The limiting current , in electrochemistry, is the limiting value of a faradaic current that is approached as the rate of charge transfer to an electrode is increased . The limiting current can be approached, for example, by increasing the electric potential or decreasing the rate of mass transfer to the electrode. It is independent of the applied potential over a finite range, and is usually evaluated by subtracting the appropriate residual current from the measured total current. ref http www.iupac.org goldbook L03532.pdf ref A limiting current can have the character of an adsorption , catalytic , diffusion , or kinetic current, and may include a migration current. See also Butler Volmer equation References references chem stub Category Electrochemistry ru ... more details
In computer network s, rate limiting is used to control the rate of traffic sent or received on a network interface . Traffic that is less than or equal to the specified rate is sent, whereas traffic that exceeds the rate is dropped or delayed. A device that performs rate limiting is a rate limiter . Rate limiting is performed by policing discarding excess packets , queuing delaying packets in transit or congestion control manipulating the protocol s congestion mechanism . Policing and queuing can be applied to any network protocol . Congestion control can only be applied to protocols with congestion control mechanisms, such as the transmission control protocol TCP . In chemistry In chemical reaction s, the term rate limiting can indirectly denote the restricting elements that influence the overall reaction rate . div id REF References Deploying IP and MPLS QoS for Multiservice Networks Theory and Practice by John Evans, Clarence Filsfils Morgan Kaufmann, 2007, ISBN 0 12 370549 5 See also Traffic shaping Scheduling algorithm s Bandwidth management Leaky bucket algorithm External links http shaper.netshadow.at MasterShaper QoS Webinterface for Linux Traffic Shaping http bandwidthcontroller.com trafficShaperXp.html Freeware Bandwidth Shaper http www.articlealley.com article 1502744 81.html Ncube Digital review of a traffic shaping program Category Network performance fr Rate limiting Compu network stub ... more details
Unreferenced date January 2009 In astronomy , limiting magnitude is the faintest apparent magnitude of a celestial body that is detectable or detected by a given instrument. In some cases, limiting magnitude refers to the utter threshold of detection . In more formal uses, limiting magnitude is specified along with the strength of the signal e.g., 10th magnitude at 20 Standard deviation sigma . Sometimes limiting magnitude is qualified by the purpose of the instrument e.g., 10th magnitude for Photometry astronomy photometry This statement recognizes that a photometric detector can detect light far fainter than it can reliably measure it. The International Dark Sky Association has been vocal in championing ... , limiting magnitude frequently refers to the faintest stars that can be seen with the unaided ... of sky brightness , in that light polluted and humid areas generally have brighter limiting magnitudes .... For those who lives in the immediate suburbs of New York City , the limiting magnitude might be 4.0 ... , the limiting magnitude might be 3.0, suggesting that at best, only about 50 stars might be seen at any one time. From brightly lit Midtown Manhattan , the limiting magnitude is possibly ... given time. From relatively dark suburban areas, the limiting magnitude is frequently closer to 5 ... as 8th magnitude. Many basic observing references quote a limiting magnitude of 6, as this is the approximate ... generally improve night vision . Fact date May 2009 Calculating limiting magnitude Limiting magnitude ... eye limiting magnitude is 5, the telescope will allow one to see stars as faint as about magnitude ... reach magnitude 15. See the http www.cruxis.com scope limitingmagnitude.htm Telescope Limiting Magnitude ... Estimating Limiting Magnitude at http obs.nineplanets.org NinePlanets.org http www.cruxis.com scope limitingmagnitude.htm Telescope Limiting Magnitude Calculator http www.project nightflight.net limiting mag.pdf Naked Eye Limiting Magnitude by Star Count Method Category Observational astronomy ... more details
Current limiting is the practice in electrical or electronics electronic Electronic circuit circuit s of imposing an upper limit on the electric current current that may be delivered to a External electric load load with the purpose of protecting the circuit generating or transmitting the current from ... power The simplest form of current limiting for mains is a Fuse electrical fuse . As the current ... current limiting. Compared to circuit breakers, fuses attain faster current limitation by means of arc ... is the single operation principle once blown, they need to be replaced or reset. Inrush current limiting ... power circuits Cleanup remainder date February 2011 Image Current limiting using bjt.gif thumb right 200px Active current limiting or short circuit protection Electronic circuits like regulated DC power supplies and power amplifiers employ, in addition to fuses, active current limiting since ... system corresponding to Q1 in the schematic above rated for 25 V at 1.5 A with limiting at 2 A will normally ... . With current limiting, the dissipation will increase to about 60 W if the output is shorted sup 2 sup . Without current limiting the dissipation would be greater than 300 W sup 3 sup so limiting does ... 60 W. In short, an 80 100 W device will be needed for an expected overload and limiting where a 10 ... in Q1, with V sub o sub 25 V, I sub load sub 1.5 A limit at 2 A , R sub sens sub 0.33 for limiting ... for ambient temperature i.e., Derating derated and must be mounted on a heat sink. Output shorted, with limiting ... i.e., derated and must be mounted on a heat sink. Output shorted, and no limiting A shorted load ... circumstances Q1 will only be required to dissipate about 7.5 W 60 W at worst with limiting , and even ... have this slew rate limiting output resistor built in some devices ref http www.freescale.com webapp ... 24648 Fairchild FDC6901L ref have programmable slew rate limiting. This provides overall slew rate ... jones step current.html Current Limiting for Stepper Motors DEFAULTSORT Current Limiting Category Electronics ... more details
Limiting similarity informally limsim is a concept in theoretical ecology and community ecology that proposes ... supplant the other. Over the next half century, limiting similarity slowly emerged as a natural ... begun to mull around with the ideas of limiting similarity as early as the 1940s, but it wasn t until ... theoretical bounds to speciation and niche overlap. For the purposes of understanding limiting ... foundational to the theory of limiting similarity. Robert MacArthur MacArthur and Richard Levins Levins were the first to introduce the term limiting similarity in their 1967 paper. They attempted .... The Limiting Similarity, Convergence, and Divergence of Coexisting Species. The American Naturalist ... subsequent studies were based. Theory As proposed by Macarthur and Levins in 1967, the theory of limiting ... two is not possible. This phenomenon is termed limiting similarity. Evolutionary, if two species ... It is of note that the theory of limiting similarity does not easily generate falsifiable predictions .... ref Abrams P. 1983. The Theory of Limiting Similarity. Annual Review of Ecology, Evolution, and Systematics ... the Quaternary . They found little evidence of character displacement, and they concluded that limiting ... Torres. 2008. Testing limiting similarity in Quaternary terrestrial gastropods. Paleobiology 34 ... the strength and role of limiting similarity in ecology and evolution. For example, Abrams who is prolific on the subject of limiting similarity and Rueffler find in 2009 that there is no absolute limit ..., given a fixed mortality of the other species . ref Abrams PA and C Rueffler. 2009. Coexistence and limiting ... 822. ref What a lot of studies examining limiting similarity find are the weaknesses in the original theory that are addressed below. Criticism The key weakness of the Theory of Limiting similarity is that it is highly ... t invalidate the concept, they render limiting similarity exceedingly difficult to test in practice ... via competition can take an extremely long time and the importance of limiting similarity in extinction ... more details
wiktionarypar factor A factor , a Latin word meaning who which acts , may refer to In commerce Factor agent , a person who acts for another, notably a mercantile and or colonial agent Factor Scotland , a person or firm managing a Scottish estate Factors of production , a resource used in the production of goods and services Factoring finance Factor , an entity providing commercial finance services Max Factor , a cosmetics company founded by Max Factor, Sr. In science An enzyme , proteins that catalyze chemical reactions Coagulation Coagulation factors Coagulation factors , substances essential ... Sun Protection Factor SPF Sun protection factor , a unit describing reduction in transmitted ultraviolet light Factor B and factor D , peptides involved in the alternate pathway of immune system complement ... A coefficient , a multiplicative factor in an expression, usually a number A von Neumann algebra with a trivial center Factor graph theory , a spanning subgraph Any finite contiguous subsequence of a Word mathematics word In statistics Factor analysis is the study of how factors or certain variables ... Authentication factor , a piece of information used to verify a person s identity for security purposes Factor Unix , a Unix command for numbers factorization Factor programming language , a concatenative ... Reilly Factor , an American talk show hosted by Bill O Reilly commentator Bill O Reilly on Fox News . The Krypton Factor , a British game show hosted by Gordon Burns , formerly on ITV . Also had an The Krypton Factor US game show American version . People Max Factor, Sr. , a Polish American businessman and cosmetician Max Factor, Jr. , son of the above, born Francis Factor John Factor , a Prohibition era gangster Organizations FACTOR , the Foundation to Assist Canadian Talent on Records disambig ar ca Factor cs Faktor da Faktor de Faktor es Factor eu Faktore argipena fr Facteur io Faktoro it Fattori nl Factor ja no Faktor pl Faktor ro Factor ru simple Factor sk Faktor ... more details
Orphan date February 2009 Notability date May 2008 Factor T is a book first published in 1956 written by the Polish writer, philosopher, filmmaker, composer and poet Stefan Themerson . ref cite journal last Wisdom first J. O. authorlink John Wisdom year 1958 month May title Review journal The British Journal for the Philosophy of Science volume 9 issue 33 pages 84 85 url http www.jstor.org sici?sici 0007 0882 195805 9 3A33 3C84 3AFT 3E2.0.CO 3B2 F accessdate 2008 05 14 doi 10.1093 bjps IX.33.84 ref Factor T is based upon Themerson s theory that the eternal tragedy factor T of humanity is found in the conflict between the urge to satisfy certain desires and the aversion against the actions required for such a satisfaction. References reflist philo book stub Category 1956 books Category Polish books nl Factor T ... more details
FACTOR the Foundation to Assist Canadian Talent on Records is a private non profit organization, ... dedicated to providing assistance toward the growth and development of the Canadian independent recording industry from http www.factor.ca whatisfactor.html their website . Founded in 1982 , FACTOR has been administering public money since 1986 . From an inaugural budget of 200,000 Canadian dollar CAD , they now distribute over 11.5 million dollars annually. The merit based approach of monetary distribution used by FACTOR and Canadian music video funding organization VideoFACT , is not without critics. In 2009, the organizations came under public scrutiny when a letter written by Unfamiliar Records founder Greg Ipp was republished on the internet ref http www.thedailyswarm.com swarm open letter canadas music industry grant system why does metric mstrkrft and well funded mediocrity get all support ref in turn promoting the idea that bigger image based bands shouldn t be getting such a huge amount of those finite funds as it leaves relatively little, if any, funding for the smaller up and coming bands. ref http www.exclaim.ca articles generalarticlesynopsfullart.aspx?csid1 134&csid2 844&fid1 39899 ref Notable recording artists who have received FACTOR grants include Alexisonfire Jann Arden Bedouin Soundclash Blue Rodeo Dave Borins Boy Canadian band BOY Jason Collett The Dears K naan Mark Sultan Metric band Metric Michael Kulas Moneen Propaghandi Protest The Hero Sam Roberts The Trews Wolf Parade Woodpigeon band Woodpigeon Xavier Rudd References reflist External links http www.factor.ca The FACTOR website Canada stub Category Canadian music industry ... more details
Infobox television show name The It Factor image caption show name 2 genre Reality television format creator developer writer director creative director presenter starring judges voices narrated theme music composer opentheme endtheme composer country United States language English language English num seasons 2 num episodes list episodes executive producer producer editor location cinematography camera runtime 30 minutes company distributor channel Bravo US TV channel Bravo picture format audio format first run first aired Start date 2002 1 6 last aired End date 2003 3 31 status Ended preceded by followed by related website production website The It Factor is a reality television show that aired on the Bravo US TV network Bravo network. It followed actors trying to lead successful careers. The show lasted for two seasons. The first season profiled actors in New York City and the second season profiled actors in Los Angeles . Notable actors who appeared on the show include Oscar nominee Jeremy Renner , model actress LisaRaye , Michaela Conlin who went on to become a regular on the TV series Bones TV series Bones , and Godfrey comedian Godfrey who became a spokesman for 7 Up . External links imdb title 0307762 The It Factor imdb title 0348510 The It Factor Los Angeles DEFAULTSORT It Factor Category 2000s American television series Category 2002 American television series debuts Category 2003 American television series endings Category American reality television series Category Bravo U.S. television series US reality tv stub ... more details
Split date August 2010 In biology , a self limiting organism or colony of organisms limits its own growth by its actions. For example, a single organism may have a maximum size determined by genetics , or a colony of organisms may release waste which is ultimately toxic to the colony once it exceeds a certain population . In some cases, the self limiting nature of a colony may be advantageous, such as in the case of parasite s. If their numbers became too high, they would kill the host, and thus themselves. In medicine , the term may imply that the condition would run its course without the need of external influence, especially any medical treatment. However, the fact that a condition may be self limiting does not mean that medical treatment would not bring the condition to an end more quickly or ameliorate the symptoms. Reflist DEFAULTSORT Self Limiting Biology Category Parasitology biology stub ... more details
multiple issues cleanup April 2010 intromissing April 2010 expert April 2010 norefs date December 2010 Limiting pressure velocity is a tribology tribological term relating to the maximum temperature and compression physical compression that an assembly with rubbing surfaces can bear without failing. Category Tribology Engineering stub ... more details
Orphan date February 2009 A Basic Limiting Principle B.L.P. is a general principle that limits our explanations Metaphysics metaphysically or Epistemology epistemologically , and which normally goes unquestioned or even unnoticed in our everyday or scientific thinking. The term was introduced by the philosopher C. D. Broad in his 1949 paper The Relevance of Psychical research to Philosophy blockquote There are certain limiting principles which we unhesitatingly take for granted as the framework within which all our practical activities and our scientific theories are confined. Some of these seem to be self evident. Others are so overwhelmingly supported by all the empirical facts which fall within the range of ordinary experience and the scientific elaborations of it including under this heading orthodox psychology that it hardly enters our heads to question them. Let us call these Basic Limiting Principles. ref Broad 1949 ref blockquote Broad offers nine examples of B.L.P.s, including the principle that there can be no backward causation, that there can be no action at a distance, and that one cannot perceive physical events or material things directly, unmediated by sensations. Notes references References C. D. Broad. 1949 The Relevance of Psychical Research to Philosophy Philosophy 24, pp 291&ndash 309 Category Philosophical terminology philo stub ... more details
Orphan date November 2006 See Kohlrausch s Law for details this is the conductivity of an ionic substance which has been extrapolated to an infinite dilution. It is normally the case that Molar conductivity Limiting molar conductivity electrolytic conductivity Kc sup 1 2 sup c is the concentration of the salt while K is the Kohlrausch constant for this solution solute and solvent . See http homepages.wmich.edu dschreib Courses Chem430 Conduct.htm for details. Category Electricity ... more details
Infobox Anatomy Name PAGENAME Latin membrana limitans externa GraySubject 225 GrayPage 1017 Image Caption Image2 Caption2 System Precursor MeshName MeshNumber DorlandsPre m 08 DorlandsSuf 12522817 The external limiting membrane or outer limiting membrane is one of the ten distinct layers of the retina of the human eye eye . It has a network like structure and is situated at the bases of the Rod cell rods and cone cell cones . Additional images Image Rod&Cone.jpg thumb left 229px Rods and cones Image Gray881.png thumb right 450px Section of retina . Membrana limitans externa labeled at right, third from the bottom. Image Gray882.png thumb right 450px Plan of retinal neurons. Membrana limitans externa labeled at left, second from the bottom. br clear all See also Retina External links BUHistology 07902loa http www.med.uiuc.edu histo small atlas objects 126.htm http biology.clc.uc.edu fankhauser Labs Anatomy & Physiology A&P202 Special Senses Eye eye jpegs retina PC271517lbd.JPG Slide at uc.edu http www.kumc.edu instruction medicine anatomy histoweb eye ear eye12.htm http education.vetmed.vt.edu Curriculum VM8054 EYE RETINA.HTM Category Eye eye stub Retina ... more details
Infobox Anatomy Name PAGENAME Latin membrana limitans interna GraySubject 225 GrayPage 1017 Image Image Gray881.png thumb right 450px Caption Section of retina . Membrana limitans interna labeled at right, at top. Image2 Image Gray882.png thumb right 450px Caption2 Plan of retinal neurons. Membrana limitans interna labeled at left, at top. System Precursor MeshName MeshNumber DorlandsPre l 05 DorlandsSuf 12480635 The inner limiting membrane is the boundary between the retina and the vitreous body , formed by astrocytes and the end feet of Muller glia M ller cells . It is separated from the vitreous humor by a basal lamina. External links BUHistology 07902loa Category Eye eye stub Retina ... more details
In mathematics , the study of interchange of limiting operations is one of the major concerns of mathematical analysis . in that two given limiting operations, say L and M , cannot be assumed to give the same result when applied in either order. One of the historical sources for this theory is the study of trigonometric series . ref Springer id t t094240 title Trigonometric series ref Formulation In symbols, the assumption LM ML , where the Sides of an equation LHS means that M is applied first, then L , and vice versa on the Sides of an equation RHS , is not a valid equation between Operator mathematical operators , under all circumstances and for all operands. An algebraist would say that the operations do not Commutativity commute . The approach taken in analysis is somewhat different. Conclusions that assume limiting operations do commute are called formal . The analyst tries to delineate conditions under which such conclusions are valid in other words Rigour mathematical rigour is established by the specification of some set of sufficient conditions for the formal analysis to hold good. This approach justifies, for example, the notion of uniform convergence . ref N. L. Carothers, Real Analysis 2000 , p. 150. ref It is relatively rare for such sufficient conditions to be also necessary, so that a sharper piece of analysis may extend the domain of validity of formal results. Professionally speaking, therefore, analysts push the envelope of techniques, and expand the meaning of well behaved for a given context. G. H. Hardy ref In an Appendix A note on double limit operations to A Course of Pure Mathematics . ref wrote that The problem of deciding whether two given limit operations are commutative is one of the most important in mathematics . An opinion apparently not in favour of the piece wise approach, but of leaving analysis at the level of heuristic , was that of Richard ... DEFAULTSORT Interchange Of Limiting Operations Category Mathematical analysis ... more details
The limiting oxygen index LOI is the minimum concentration of oxygen , expressed as a percentage, that will support combustion of a polymer . It is measured by passing a mixture of oxygen and nitrogen over a burning specimen, and reducing the oxygen level until a critical level is reached. ref Definition taken from Principles of Polymer Engineering 2nd edition by N.G. McCrum , C.P. Buckley, and C.B. Bucknall ref LOI values for different plastics are determined by standardized tests, such as the ISO 4589 and ASTM D2863. ref ASTM D 2863, Standard Test Method for Measuring the Minimum Oxygen Concentration to Support Candle Like Combustion of Plastics Oxygen Index . ref See also Fire resistance rating References references Category Passive fire protection chemistry stub de Sauerstoffindex ... more details
A view limiting device simulates Instrument meteorological conditions IMC by restricting a pilot s field of view only to the Control panel engineering instrument panel . They are worn by pilots who are working toward an instrument rating , which allows a pilot to fly into conditions that are less than favorable for visual flight . They are also used by instrument rated pilots for practicing instrument flight to maintain currency for acting as pilot in command under instrument flight rules . ref Cite web title Sec. 61.57 Recent flight experience Pilot in command work Federal Aviation Regulations publisher Federal Aviation Administration url http rgl.faa.gov Regulatory and Guidance Library rgFar.nsf FARSBySectLookup 61.57 accessdate 2010 03 30 ref ref Cite book title Instrument Flying Handbook publisher Federal Aviation Administration year 2007 chapter Introduction page viii url http www.faa.gov library manuals aviation instrument flying handbook accessdate 2010 03 30 ref See also safety pilot FAA Practical Test References reflist Category Flight training Category Aviation terminology ... more details
Expert subject Mathematics date November 2008 In information theory , the limiting density of discrete points is an adjustment to the formula of Claude Elwood Shannon for differential entropy . It was formulated by Edwin Thompson Jaynes to address defects in the initial definition of differential entropy. Definition Shannon originally wrote down the following formula for the entropy of a continuous distribution, known as differential entropy math H X int p x log p x ,dx. math Unlike Shannon s formula for the discrete entropy, however, this is not the result of any derivation Shannon simply replaced the summation symbol in the discrete version with an integral and it turns out to lack many of the properties that make the discrete entropy a useful measure of uncertainty. In particular, it is not invariant under a change of variables and can even become negative. Jaynes 1963, 1968 argued that the formula for the continuous entropy should be derived by taking the limit of increasingly dense discrete distributions. Suppose that we have a set of math n math discrete points math x i math , such that in the limit math n to infty math their density approaches a function math m x math called the invariant measure . math lim n to infty frac 1 n , mbox number of points in a x b int a b m x ,dx math Jaynes derived from this the following formula for the continuous entropy, which he argued should be taken as the correct formula math H X int p x log frac p x m x ,dx. math It is formally similar to but conceptually distinct from the negative of the Kullback Leibler divergence or relative entropy, which is comparison measure between two probability distributions. The formula for the Kullback Leibler divergence is similar, except that the invariant measure math m x math is replaced by a second probability density function math q x math . In Jaynes formula, math m x math is not a probability ... Limiting Density Of Discrete Points Category Probability theory Category Theory of probability ... more details
Encyclopedia
top
