the term flammabilitylimit LFL, UFL and explosive limit LEL, UEL interchangeably. Attaining the perfect ...Flammability limits , also called flammable limits, give the proportion of Fuel combustible gas es in a mixture, between which limits this mixture is Flammability flammable . Gas mixtures consisting of combustible .... The lower flammable limit LFL describes the leanest mixture that still sustains a flame, i.e. the mixture with the smallest fraction of combustible gas, while the upper flammable limit UFL gives the richest flammable mixture. There is a quantitative difference between flammability limits and explosive ... NFPA 69. Limits Lower Explosive Limit Lower Explosive Limit LEL The lowest concentration percentage ... by volume at 20 degrees C. Upper Explosive Limit Upper Explosive Limit UEL Highest concentration percentage ..., pressure and composition Flammability limits of mixtures of several combustible gases can ... , and the concentration of the oxidizer also influences flammability limits. Higher temperature ... less than 100 F 37.8 C are NFPA 704 Flammability Rating 4 Classes IB Flash Point less than 73 F 22.8 ... than 73 F 22.8 C , but less than 100 F 37.8 C are NFPA 704 Flammability Rating 3 Classes II Flash ... to or greater than 140 F 60 C , but less than 200 F 93.3 C are NFPA 704 Flammability Rating 2 Class IIIB liquids Flash Point equal to or greater than 200 F 93.3 C are NFPA 704 Flammability Rating 1 ... hydrocarbon and oxygenated solvents a guide to flammability American Chemistry Council Solvents ... Gases Explosive and Flammability Concentration Limits ref 78 IA Flammable gas Benzene 1.2 7.8 IB ... to flammability American Chemistry Council Solvents Industry Group, pg. 7, January 2008 ref 8 15 ... to flammability American Chemistry Council Solvents Industry Group, pg. 7, January 2008 ref 11.2 ... and Flammability Concentration Limits ref 9.65 IA 80 C Carbon disulfide 1.0 50.0 IB 30 C 0.009 ... 423.html Gases Explosive and Flammability Concentration Limits ref 75 IA 191 C Flammable gas 609 C ... more details
Merge Combustibility discuss Talk Flammability Merge discussion date February 2010 Refimprove date September 2009 Image Tu braunschweig b1 brandschacht.jpg thumb right DIN4102 Flammability Class B1 Vertical Shaft Furnace at Technische Universit t Braunschweig , http www.ibmb.tu braunschweig.de iBMB , Germany . Image Tu braunschweig b1 ofen gestell.jpg thumb right Sample Holder for DIN4102 Flammability Class B1 Vertical Shaft Furnace Image Tu braunschweig 750 grad ofen.jpg thumb right 750 C Furnace ... thumb right Flammable liquid warning sign Flammability is defined as how easily something will burn ... exist to quantify flammability. The ratings achieved are used in building code s, insurance requirements ... transportation. For instance, changing an occupancy by altering the flammability of the contents ... be conducted to determine the degree of flammability. Test standards used to make this determination ... UL 94 Flammability Testing International Electrotechnical Commission IEC 60707, 60695 11 10 and 60695 ... for Measurement of Flammability of Materials in Cleanrooms Using a Fire Propagation Apparatus FPA ... for the degree of flammability and combustibility in accordance with the German http www.din.de ... are the categories in order of degree of combustibility as well as flammability A1 100 noncombustible ... reduces the flammability of those materials. Important characteristics Flash point Flash point s below ... of Degree of Flammability The US Government uses the Hazardous Materials Identification System HMIS standard for Flammability Ratings, as do many US regulatory agencies, and also the US National Fire ... , propane , butane Codes Flammability For existing buildings, fire codes focus on maintaining the Occupancy ... limit Upper flammable limit References references External links http www.l com.com multimedia video clips video.aspx?ID 13100 Videos showing flammability of cables based on jacket rating http www.nfpa.org ... pl Palno simple Flammability uk zh ... more details
Image Flammability diagram methane.png right thumb 400px Flammability diagram for methane Flammability diagrams show the regimes of flammability in mixtures of fuel, oxygen and an inert gas, typically nitrogen . Mixtures of the three gasses are usually depicted in a triangular diagram, also known as a Ternary plot . Such diagrams are available in the speciality literature. ref for instance in Michael George Zabetakis 1965 work, which remains one of the most widely cited sources of flammability data. ref ref Mashuga 1998 ref ref Crowl 2003 ref The same information can be depicted in a normal orthogonal diagram, showing only two substances, implicitly using that the sum of all three components ... of fuels. Understanding flammability diagrams Triangular diagrams are not commonplace. The easiest ... this is shown as the blue air line. The upper and lower flammability limits of methane in air are located ... as the red stoichiometric line. The upper and lower flammability limits of methane in oxygen are located on the methane axis, as shown. The actual envelope defining the flammability zone can only be determined based on experiments. The envelope will pass through the upper and lower flammability ... oxygen concentration LOC . gallery Image Flammability diagram methane 1 w air line.png Triangular ... will lie on the blue air line Image Flammability diagram methane 2 w stoich line.png Any stoichiometric mixture of methane and oxygen will lie on the red stoichiometric line Image Flammability diagram methane.png The actual flammability envelope defining flammable mixtures of methane Image Flammability ... Diagrams for multicomponent mixtures coming See also Ternary plot Flammability limits Sources cite book last Zabetakis first Michael G. authorlink Michael George Zabetakis coauthors title Flammability ... KE title Flammability of mixed gases journal Report of Investigations volume RI 8709 issue pages publisher ... coauthors Crowl DA title Application of the flammability diagram for evaluation of fire and explosion ... more details
To the Limit may refer to To the Limit 1995 film To the Limit , a 1995 American action film To the Limit 1997 film To the Limit , a 1997 Spanish film To the Limit 2007 film To the Limit , a 2007 German film disambiguation ... more details
wiktionary A limit can be Limit mathematics Limit of a function Limit of a sequence One sided limitLimit superior and limit inferior Net topology Limit of a net Limit point Limit category theory Direct limit and Inverse limit A Constraint disambiguation constraint mathematical, physical, economical, legal, etc. in the form of an inequality mathematics inequality , such as Chandrasekhar limit Greisen Zatsepin Kuzmin limit Budget constraint Speed limit Age of consent An extreme value or boundary, such as High frequency limit A limit order is a type of Order exchange order to buy a security at no more or sell at no less than a specific price on an exchange. Other uses, such as The Limit , a 1980s band Limit music in just intonation In BDSM , limits BDSM limits are activities that a partner feels strongly about, and to which special attention must be paid. limits.h , the header of a general purpose standard library of the C programming language Els L mits , a village in the municipality of La Jonquera, Catalonia Spain See also Limited disambiguation Limitless disambiguation Unlimited disambiguation disambig de Limit es L mite fr Limite he ja nn Grense no Grense ru zh ... more details
No Limit can refer to In music No Limit Records , a record label founded by business mogul Master P No Limit Art Pepper album No Limit Art Pepper album , a 1976 jazz album by saxophonist Art Pepper No Limit Mari Iijima album No Limit Mari Iijima album , a 1999 album by Japanese singer, songwriter and voice actress Mari Iijima No Limit song No Limit song , a 1993 single by Belgian Dutch music group 2 Unlimited later covered by German pop group beFour No Limit , a song by Front Line Assembly from their album Gashed Senses & Crossfire In film No Limit 1931 film No Limit 1931 film , starring Clara Bow No Limit 1935 film No Limit 1935 film , a comedy about the Isle of Man TT Race, starring George Formby and Florence Desmond No Limit 2006 film No Limit 2006 film , a documentary about the professional poker tournament circuit In sports A professional wrestling tag team Tetsuya Nait and Yujiro Takahashi A discipline of freediving No limit may also be A Betting poker No limit poker betting term disambig de Liste von Pokerbegriffen N fr No limit nl No Limit sv No limit ... more details
Infobox musical artist See Wikipedia WikiProject Musicians Name The Limit Img Img capt Background group or band Alias Origin Netherlands Genre Jazz Funk , Post Disco , R&B , Club music Club Dance , Synthpop , Pop Rock Years active 1980 Instrument Label Arista, Portrait Past members Bernard Oattes, Rob Van Schalk The Limit was a 1980s musical group composed of Netherlands Dutch producers Bernard Oattes and Rob Van Schalk . They released a full length album in 1984, which yielded the hit Say Yeah . The song peaked at 17 on the UK Singles Chart ref Search for The Limit performed at http www.everyhit.com searchsec.php Everyhit.com database on August 1, 2008. ref and at 7 on the U.S. Billboard magazine Billboard Dance Club Play chart. ref Allmusic class artist id p363216 charts awards pure url yes Charts at Allmusic ref Discography ref http www.discogs.com artist Limit 2C The 2 The Limit at Discogs . Retrieved on 10 7 2009 . ref Albums class wikitable Year Album name Label Format width 70 Billboard 200 1985 in music 1985 The Limit Portrait Records Portrait flagicon UK LP album LP , CD align center 2009 in music 2009 The Limit Portrait Records Portrait flagicon UK LP album LP , CD align center Songs class wikitable Year Song name Label width 70 Hot Dance Club Songs US Dance width 70 UK Singles Chart UK Pop 1980 in music 1980 Photomania FFR align center align center 1982 in music 1982 Crimes Of Passion Ariola align center align center 1982 in music 1982 She s So Divine Arista align center align center 1984 in music 1984 Say Yeah Portrait align center 7 align center 17 1985 in music 1985 Destiny Portrait align center align center References reflist DEFAULTSORT Limit, The Category Funk musical groups Category Dutch musical groups Category Freestyle musicians Category Electro musicians Category Arista Records artists Category 1980s music groups Category Synthpop Netherlands band stub ... more details
Infobox Single Name There s No Limit Cover Deanacartertheresnolimit.jpg Cover size Caption Artist Deana Carter from Album I m Just a Girl Released October 14, 2002 Format Recorded Genre Country music Country Length 3 29 Label Arista Nashville Writer Deana Carter, Randy Scruggs Producer Certification Last single Ruby Brown BR 1999 This single There s No Limit BR 2002 Next single I m Just a Girl BR 2003 Misc External music video http www.cmt.com videos deana carter 59113 theres no limit.jhtml There s No Limit at CMT.com There s No Limit is the title of a song recorded by United States American country music country artist Deana Carter . It was released as the lead off single for her fourth studio album, I m Just a Girl . The song peaked at 14 on the US Country Hot Country Songs chart, her biggest hit on the chart since How Do I Get There topped the chart in 1997, and is her last single to make the Top 20. Content The song, written by Deana Carter with Randy Scruggs, is a moderate up tempo backed by electric guitar with occasional harpsichord fills. Its lyrics are essentially of how Carter tells her male lover that she will do anything for him If it s a long, long road, baby, I ll walk it If it s a mountain high, baby, I ll cross it If it s a deep blue sky, you know, I ll jump out in it There s nothin I would not do for you, there s no limit Music video A music video was released for the song, directed by Randee St. Nicholas. In the video, Carter and her boyfriend are seen talking on the phone. Carter sings and plays her guitar in her bedroom, and is later joined by her boyfriend ... plays. The video for There s No Limit topped the Country Music Television CMT Top Twenty Countdown ... performance There s No Limit debuted at 54 on the U.S. Billboard Hot Country Singles & Tracks chart ... Songs There s No Limit Oct 26 2002 ref After 24 weeks on the chart, it peaked at 14 in April 2003. ref ... 3049057&cdi 7982010&cid 04 2F05 2F2003 Billboard Hot Country Songs There s No Limit Apr 5 2003 ... more details
In mathematics , the limit inferior also called infimum limit , liminf , inferior limit , lower limit , or inner limit and limit superior also called supremum limit , limsup , superior limit , upper limit , or outer limit of a sequence can be thought of as limiting i.e., eventual and extreme bounds on the sequence. The limit inferior and limit superior of a function mathematics function can be thought of in a similar fashion see limit of a function . The limit inferior and limit superior of a set are the infimum and supremum of the set s limit point s, respectively. In general, when there are multiple ... of limit superior and limit inferior. The sequence x sub n sub is shown in blue. The two red curves approach the limit superior and limit inferior of x sub n sub , shown as solid red lines to the right. In this case, the sequence accumulates around the two limits. The superior limit is the larger of the two, and the inferior limit is the smaller of the two. The inferior and superior limits only agree when the sequence is convergent i.e., when there is a single limit . Definition for sequences The limit inferior of a sequence x sub n sub is defined by math liminf n to infty x n lim n to infty ... , inf ,x m m geq n , n geq 0 , . math Similarly, the limit superior of x sub n sub is defined by math ... x n math are sometimes used. If the terms in the sequence are real numbers, the limit superior and limit inferior always exist, as real numbers or i.e., on the extended real number line . More ... and infimum infima exist, such as in a complete lattice . Whenever the ordinary limit exists, the limit inferior and limit superior are both equal to it therefore, each can be considered a generalization of the ordinary limit which is primarily interesting in cases where the limit does not exist. Whenever ... a sequence only in the limit the sequence may exceed the bound. However, with big O notation the sequence can only exceed the bound in a finite prefix of the sequence, whereas the limit superior ... more details
Limit theorem may refer to Central limit theorem , in probability theory Edgeworth s limit theorem , in economics disambig Category Mathematical disambiguation ... more details
Take It to the Limit may refer to Take It to the Limit Eagles song Take It to the Limit Eagles song Take It to the Limit Hinder album Take It to the Limit Hinder album , or the title song Take It to the Limit Willie Nelson album Take It to the Limit Willie Nelson album , by Willie Nelson and Waylon Jennings includes a cover of the Eagles song disambig it Take It to the Limit ... more details
pp semi indef wiktionary The Sky s the Limit may refer to tocright Music Sky s the Limit The Temptations album Sky s the Limit The Temptations album , 1971 Sky s the Limit Magic album Sky s the Limit Magic album , or the title song The Sky s the Limit Horizon album The Sky s the Limit Horizon album , 2002 The Sky s the Limit Blackhawk album The Sky s the Limit Blackhawk album , 1998 Sky s the Limit song Sky s the Limit song , a song by The Notorious B.I.G. Sky s the Limit Ola Svensson song Sky s the Limit Ola Svensson song , 2009 The Sky s the Limit song The Sky s the Limit song , a song by Jason Der lo Sky s the Limit, an early project of Mae co founder Dave Elkins Film and television The Sky s the Limit 1938 film The Sky s the Limit 1938 film , a 1938 British film The Sky s the Limit film The Sky s the Limit film , a 1943 musical comedy starring Fred Astaire The Sky s the Limit 1975 film , a film featuring Richard Arlen The Sky s the Limit game show The Sky s the Limit game show , a 1970s UK TV game show The Sky s the Limit Only Fools and Horses The Sky s the Limit Only Fools and Horses , an episode of Only Fools and Horses The Sky s the Limit Star Trek The Sky s the Limit Star Trek , a collection of Star Trek spin off fiction Short story collections short stories based on the Star Trek franchise See also Da Sky s da Limit , a 2002 album by Big Pokey Skies the Limit , a song by Fleetwood Mac from Behind the Mask album Behind the Mask disambig ... more details
Hot Limit may refer to Hot Limit High and Mighty Color song , the T.M.Revolution s 1998 song covered by High and Mighty Color Hot Limit manga , a Japanese manga disambig ... more details
In mathematics , a subsequential limit of a sequence is the limit of some subsequence . Every subsequential limit is a cluster point , but not conversely. In first countable spaces, the two concepts coincide. The supremum of the set of all subsequential limits of some sequence is called the limit superior, or limsup. Similarly, the infimum of such a set is called the limit inferior, or liminf. See limit superior and limit inferior . It can be shown that if X,d is a metric space and there is a Cauchy sequence such that there is a subsequence converging to some x, then the sequence also converges to x. Mathanalysis stub Category Limits bs Grani na vrijednost podniza zh ... more details
Quantum limit in physics refers to a limit on measurement accuracy at quantum scales ref Vladimir Borisovich Braginski and Farid Ya. Khalili. Quantum Measurement. 1995. ref . It may refer to the minimum level of quantum noise which is obtainable without squeezed light states. For instance, the sensitivity of optical measurements has a standard quantum limit ref M. T. Jaekel and S. Reynaud, Quantum limits in interferometric measurements , Europhys. Lett. 13, 301. 1990. ref . There is additionally a quantum limit for phase noise , reachable only by a laser at high noise frequencies. In spectroscopy, the shortest wavelength in an X ray spectrum is called the quantum limit ref Donald Stover Piston, The Polarization of X rays from Thin Targets. 1935. ref See also Classical limit Heisenberg limit Relativistic limit References references physics stub Category Physics ru ... more details
In computability theory , a function is called limit computable if it is the limit of a uniformly computable sequence of functions. The terms computable in the limit and limit recursive are also used. One can think of limit computable functions as those admitting an eventually correct computable guessing procedure at their true value. A set is limit computable just when it s characteristic function is limit computable. If the sequence is uniformly computable relative to D then the function is limit computable in D . Formal definition A total function function math r x math is limit computable if there is a total ... hat r x,s math The total function function math r x math is limit computable in D if there is a total ... to be computable in the limit if and only if its characteristic function is computable in the limit. In contrast, the set is computable set computable if and only if it is computable in the limit ... a value of t large enough the math phi t,i math has stabilized. Limit Lemma The limit lemma states that a set of natural numbers is limit computable if and only if the set is computable from math 0 math the Turing jump of the empty set . The relativized limit lemma states that a set is limit computable in math D math if and only if it is computable from math D math . Note that the limit lemma ... hat r x math relative to math 0 math to an index for some math hat r x,s math that has limit math hat r x math . Proof of the limit lemma As math 0 math is a computably enumerable set it must be computable in the limit itself as we can define the computable function math displaystyle hat r x ... whose limit math r x math as math s math goes to infinity is the characteristic function of math 0 math . It therefore suffices to show that if limit computability is preserved by Turing reduction ... math X s math with limit math X math . Suppose that math Y z phi X z math for some Turing reduction ... in at most math s t math steps to math phi X z math . Hence math Y s z math has a limit of math ... more details
Merge limit load date August 2010 Limit load is the maximum load that a structure can safely carry. It s the load at which the structure is in a state of incipient plastic collapse. As the load on the structure increases, the displacements increases linearly in the elastic range till the load attains the yield value. Beyond this, the load displacement response becomes non linear and the plastic or irreversible part of the displacement increases steadily with the applied load. Plasticity spreads throughout the solid and at the limit load, the plastic zone becomes very large and the displacements become unbounded and the component is said to have collapsed. Bounding Theorems of Plastic Limit Load Analysis These theorems provide a way to calculate limit loads without having to solve the boundary value problem in continuum mechanics . Finite element analysis provides an alternative way to estimate limit loads. Any load above the limit load will lead to the formation of plastic plastic hinge hinge in the structure. Engineer s use limit states to define and check a structure s performance. References http www.engin.brown.edu courses En222 Notes limitanal limitanal.htm Brown University Engineering Notes DEFAULTSORT Limit Loads Category Structural engineering Category Continuum mechanics standard stub it Carico limite ... more details
File Limit cycle Poincare map.svg thumb 250px right Attracting limit cycle and its Poincare map In mathematics , in the area of dynamical systems , a limit cycle on a plane or a two dimensional manifold the original definition is not valid in 3D, since the periodic orbit could be neutrally stable and non isolated along the 3d direction is a closed trajectory in phase space having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches negative infinity. Such behavior is exhibited in some nonlinear systems . In the case where all the neighbouring trajectories approach the limit cycle as time approaches infinity, it is called a stable manifold stable or attractive limit cycle limit cycle . If instead all neighbouring trajectories approach it as time approaches negative infinity, it is an unstable or non attractive limit cycle limit cycle . Stable limit cycles imply self sustained oscillations . Any small perturbation from the closed trajectory would cause the system to return to the limit cycle, making the system stick to the limit cycle. Image VanDerPolPhaseSpace.png right 250px thumb Stable limit cycle for the Van der Pol oscillator As seen in the figure, trajectories for various initial states of this system converge to the limit cycle. Hence, this system exhibits self sustained oscillations. The number of limit cycles of a polynomial differential equation is the main object of the second part of Hilbert s sixteenth problem . Bendixson Dulac theorem Bendixson s theorem and the Poincar Bendixson theorem predict the absence or existence, respectively, of limit cycles of two dimensional nonlinear dynamical ... 6722 title limit cycle Steven H. Strogatz, Nonlinear Dynamics and Chaos , Addison Wesley publishing ... Equations and Dynamical Systems , Springer Verlag, 2006. Arthur Mattuck, Limit Cycles Existence ... Limit sets ar fr Cycle limite nl Limietcykel ja pl Cykl graniczny ru ... more details
Unreferenced date December 2009 A credit limit is the maximum amount of Credit finance credit that a financial institution or other lender will extend to a debtor for a particular line of credit sometimes called a credit line, line of credit, or a tradeline . For example, it is the most that a credit card company will allow a card holder to take out at once on a card. This limit is based on a variety of factors ranging from an individual s ability to make interest payments, an organization s cashflow and or ability to repay the principal, to the credit standards employed by the lender. A credit limit is also based on the borrower s recoverable assets in the event of default. Credit limits are most often seen by consumers in the form of revolving lines of credit known as credit cards. They are also used in the extension of open account credit terms from business to business. Other examples include HELOC home equity lines of credit , residential mortgages owner occupier home loans with redraw facilities, a commercial line of credit or a Bank guarantee. The limit imposed in most cases is fixed for the life of the product, except in the case of credit cards that may be raised upon each application received by the card holder or offer by the card issuer. Over the limit fee Many creditors will charge an over the limit fee as a penalty for anyone who exceeds the available line of credit, should the creditor allow this to occur. The over the limit fee is considered to be credit card debt and is an obligation of the consumer to pay just like all other parts of the balance. Maxed out A line of credit that has exceeded its limit is said to be maxed out . While the line of credit is maxed ... to enable it to fall below the limit, the creditor agrees to extend the limit, or the creditor allows one or more additional purchases with the charging of an over the limit fee. Credit card concepts DEFAULTSORT Credit Limit Category Credit card terminology sv Kreditgr ns ... more details
dablink This is an overview of the idea of a limit in mathematics. For specific uses of a limit, see limit of a sequence and limit of a function . In mathematics , the concept of a limit is used to describe ... The concept of limit allows one to, in a complete space, define a new point from a Cauchy sequence ... continuity , derivative s and integral s. The concept of a limit of a sequence is further generalized to the concept of a limit of a net topology topological net , and is closely related to limit category theory limit and direct limit in category theory . In formulas, limit is usually abbreviated as lim as in lim a sub n sub a or represented by the right arrow as in a sub n sub a . Limit of a function main Limit of a function Image L mite 01.svg thumb right Whenever a point x is within units of c , f x is within units of L Image Limit at infinity graph.png thumb right For all x S , f x ... close to c . In that case, it can be stated that the limit of f of x , as x approaches c , is L ... 1.999 undef 2.001 2.010 2.100 Thus, f x can be made arbitrarily close to the limit of 2 just by making x sufficiently close to 1. Karl Weierstrass formalized the definition of the limit of a function into what became known as the , definition of limit in the 19th century. In addition to limits at finite ... large. In this case, the limit of f x as x approaches infinity is 2. In mathematical notation, math lim x to infty f x 2. math Limit of a sequence main Limit of a sequence Consider the following sequence 1.79, 1.799, 1.7999,... It can be observed that the numbers are approaching 1.8, the limit ... be stated that the real number L is the limit of this sequence, namely math lim n to infty x ... of the sequence get as close as needed to the limit, since the absolute value x sub n sub L is the distance between x sub n sub and L . Not every sequence has a limit if it does, it is called ... sequence has only one limit. The limit of a sequence and the limit of a function are closely ... more details
Wikify date December 2010 orphan date June 2010 The ballistic limit is the velocity required for a particular projectile to reliably penetrate a particular piece of armor . In other words, a given projectile will not defeat a given target when the projectile velocity is lower than the ballistic limit ref name carlucci cite book author Donald E. Carlucci, Sidney S. Jacobson title Ballistics Theory and Design of Guns and Ammunition publisher CRC Press year 2008 pages 310 isbn 978 1 4200 6618 0 url accessdate ref . Other than referral to the armor, the ballistic limit is known as limit velocity ref name carlucci . Ballistic Limit For a given bullet type, the velocity at which the bullet is expected to perforate the armor 50 of the time, the ballistic limit is typically denoted as the V50 value. The ballistic limit equation for laminates, as derived by Reid and Wen ref SR Reid, HM Wen. Perforation of FRP laminates and sandwich panels subjected to missile impact . In SR Reid, G Zhou, editors. Impact behaviour of fibre reinforced composite materials and structures . Cambridge Woodhead Publishers Ltd. 2000. In G Reyes Villanueva, WJ Cantwell 2004 . The high velocity impact response of composite and FML reinforced sandwich structures . Composites Science and Technology 64 35 54. doi 10.1016 S0266 3538 03 00197 0 . ref br math V b frac pi , Gamma , sqrt rho t , sigma e ,D 2 ,T 4 ,m left 1 sqrt 1 frac 8 ,m pi , Gamma 2 , rho t ,D 2 ,T , right math br where math V b , math is the ballistic limit math Gamma , math is a projectile constant determined experimentally math rho t , math is the density of the laminate math sigma e , math is the static linear elastic compression limit math D , math is the diameter of the projectile math T , math is the thickness of the laminate math m , math is the mass of the projectile References Reflist External links http www.answers.com topic ballistic limit DEFAULTSORT Ballistic Limit Category Ballistics weapon stub engineering stub ... more details
In mathematics , limit cardinals are certain cardinal number s. A cardinal number is a weak limit cardinal ... successor operations. These cardinals are sometimes called simply limit cardinals when the context is clear. A cardinal is a strong limit cardinal if cannot be reached by repeated powerset operations. This means that is nonzero and, for all , 2 sup sup . Every strong limit cardinal is also a weak limit cardinal, because sup sup 2 sup sup for every cardinal . The first infinite cardinal, math aleph 0 math Aleph number Aleph naught aleph naught , is a strong limit cardinal, and hence also a weak limit cardinal. Constructions One way to construct limit cardinals is via the union operation math aleph omega math is a weak limit cardinal, defined as the union of all the alephs before it and in general math aleph lambda math for any limit ordinal is a weak limit cardinal. The beth number operation can be used to obtain strong limit cardinals. This operation is a map from ... ordinal equinumerous with the powerset If &lambda is a limit ordinal, math beth lambda bigcup ... bigcup n omega beth n math is a strong limit cardinal of cofinality &omega . More generally, given ... limit cardinal. Thus there are arbitrarily large strong limit cardinals. Relationship with ordinal ... math is a weak limit cardinal. Because math aleph alpha aleph alpha ,, math if &lambda is a successor ordinal then math aleph lambda math is not a weak limit. Conversely, if a cardinal &kappa is a successor ..., math aleph lambda math is a weak limit cardinal if and only if &lambda is zero or a limit ordinal. Although the ordinal subscript tells whether a cardinal is a weak limit, it does not tell whether a cardinal is a strong limit. For example, ZFC proves that math aleph omega math is a weak limit cardinal, but neither proves nor disproves that math aleph omega math is a strong limit cardinal ... for every infinite cardinal &kappa . Under this hypothesis, the notions of weak and strong limit ... more details
Unreferenced stub auto yes date December 2009 File 2D Random Walk 400x400.ogv thumb right 300px An animated example of a Brownian motion like random walk on a torus . In the scaling limit, random walk approaches the Wiener process according to Donsker s theorem . In physics or mathematics , the scaling limit is a term applied to the behaviour of a lattice model physics lattice model in the limit of the lattice spacing going to zero. A lattice model which approximates a Continuum theory continuum quantum field theory in the limit as the lattice spacing goes to zero corresponds to finding a second order phase transition of the model. This is the scaling limit of the model. It is often useful to use lattice models to approximate real world processes, such as Brownian motion . Indeed, according to Donsker s theorem , the discrete random walk would, in the scaling limit, approach the true Brownian motion . See also Universality classes DEFAULTSORT Scaling Limit Category Lattice models Category Renormalization group Category Critical phenomena Quantum stub ... more details
unreferenced date March 2011 wikify date March 2011 In various financial markets, a price limit is as one may surmise from the title a specified maximum amount that a price may deviate in the sense of being legitimately tradeable in a specified period. For example, certain commodity futures are only permitted to deviate by a certain number of ticks or by a certain percentage per day. Similarly, index futures are often permitted to move a certain amount before the cash market opens. The general but not universal practice is every so often to ascertain a round number of ticks corresponding roughly to a fixed percentage move and to fix them as the limit for some time. It ought to be noted that these are not the only limits upon price for example almost all markets specify the maximum amount that price can jump in one order and also prevent limit orders being submitted that are a certain distance away from currently trading prices When a price is at the highest possible, it is limit up , and at the lowest possible it is limit down . Very often, especially in commodities, the price may be locked limit up or down that is to say in the example of limit up that the commodity is heavily bid at that level and there are no offers there and no trades going through. The purpose of all these measures is to maintain an orderly market. It ought to be noted, however, that there is some controversy, in particular with respect to price discovery. Category Financial markets finance stub ... more details
In mathematics , a limit point or accumulation point of a set mathematics set S in a topological space ... of a Limit mathematics limit and is the underpinning of concepts such as closed set and topological closure . Indeed, a set is closed if and only if it contains all of its limit points, and the topological closure operation can be thought of as an operation that enriches a set by adding its limit .... Definition Let S be a subset of a topological space X . A point x in X is a limit point of S if every ... form of the definition to show that a point is a limit point and to use the general neighbourhood form of the definition to derive facts from a known limit point. Alternatively, if the space X is sequential space sequential , we may say that x &isin X is a limit point of S if and only if there is an sequence &omega sequence of points in S x whose limit of a sequence limit is x hence, x is called a limit point . Types of limit points If every open set containing x contains infinitely many points of S then x is a specific type of limit point called a accumulation point of S . If every open set containing x contains uncountably many points of S then x is a specific type of limit point ... is a specific type of limit point called a visible anchor complete accumulation point of S . A point ... is a limit of some subsequence of the sequence x sub n sub sub n N sub . The concept ... of both condensation points and accumulation points. Clustering and limit points are also defined ... is sometimes called a limit set . Some facts We have the following characterisation of limit points x is a limit point of S if and only if it is in the closure topology closure of S x . Proof We use ... the set. Now, x is a limit point of S , if and only if every neighbourhood of x contains a point ... is in the closure of S x . If we use L S to denote the set of limit points of S , then we have the following ..., x is a limit point of S and x is in L S . Right subset If x is in S , then every neighbourhood of x ... more details
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