Distinguish2 the Negligible function Unreferenced date December 2006 Essay like date December 2007 wiktionary negligibleNegligible refers to the quantities so small that they can be ignored neglected when studying the larger effect. Although related to the more mathematical concepts of infinitesimal , the idea of negligibility is particularly useful in practical disciplines like physics, chemistry, mechanical and electronic engineering, computer programming and in everyday decision making. A quantity can be said to be negligible when it is safe to ignore neglect it in the present case , within ... considered negligible are the electrical resistance of a wire, and the mass of the electrons ... regarded as insignificant because their magnitude is so small as to be negligible. Given ... and then identify negligible terms. An example would be a car moving at 10 km h along a straight ... has to be included, weight, engine, reaction and friction. Air resistance is negligible and can ... and 5.001 V will produce errors that in themselves are negligible for the practical purposes of the remaining ... of 2 A, it must be no more than 0.001 or one milliohm. The voltage source with its negligible 1 m output impedance will produce voltages that only deviate from 5.0 V by negligible amounts ... are negligible compared to the specification at this point. It is an important part of the engineer ... in airline flight, as well as those involved in visiting foreign countries, are negligible compared ... not suffer from the vagaries of the negligible but this is not the case in at least two areas. Representation ... approximate so closely to real numbers as to produce only negligible errors under most circumstances ... point rounding of the values. There are many other ways that assumptions about the negligible ... &mdash and so that should be caught, handled or declared of negligible interest &mdash at each point ... Experimental error Negligible function div Category Engineering concepts fr N gligeable ... more details
Wiktionary negligibleNegligible may refer to Negligible having an insignificant effect In mathematics, the Negligible function disambig Short pages monitor This long comment was added to the page to prevent it being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Longcomment. Please do not remove the monitor template without removing the comment as well. ... more details
Refimprove date December 2009 See also Generic property In mathematics , a negligible set is a set that is small ... measure theory integral of a measurable function . Negligible sets define several useful concepts ..., it is generally only necessary that the negligible sets form an ideal set theory ideal that is, that the empty set be negligible, the union set theory union of two negligible sets be negligible, and any subset of a negligible set be negligible. For some purposes, we also need this ideal to be a sigma ideal , so that countable unions of negligible sets are also negligible. If I and J are both ideals of subset s of the same set mathematics set X , then one may speak of I negligible and J negligible subsets. The opposite of a negligible set is a generic property , which has various forms. Definition A subset math A math of math Omega math is negligible ref Billingsley, P. Probability and Measure ... of natural number s, and let a subset of N be negligible iff if it is finite set finite . Then the negligible ... set, every subset will be negligible, which is not a very useful notion. Or let X be an uncountable set , and let a subset of X be negligible if it is countable set countable . Then the negligible sets ... a subset of X be negligible if it is m null set null . Then the negligible sets form a sigma ... the measure may be rather pathalogical. Let X be a topological space , and let a subset be negligible ... a set is nowhere dense if it is not dense set dense in any open set . Then the negligible sets form a sigma ideal. X is a Baire space if the interior topology interior of every such negligible set is empty. Let X be a directed set , and let a subset of X be negligible if it has an upper bound . Then the negligible ... of N . In a coarse structure , the controlled sets are negligible. Derived concepts Let X be a set mathematics set , and let I be an ideal of negligible subset s of X . If p is a proposition about ... set theory complement of a negligible set. That is, p may not always be true, but it s false ... more details
Negligible senescence refers to the lack of symptoms of aging in a few select animals. More specifically, negligibly senescent animals do not have measurable reductions in their reproductive capability with age, or measurable functional decline with age. Death rates in negligibly senescent animals do not increase with age as they do in Senescence senescent organisms. There are strong scientific grounds to state that humans of advanced ages ref http longevity science.org Mortality Deceleration.html ref are also having negligible senescence phenomena. Some fish, such as some varieties of sturgeon and rockfish, and some tortoises and turtles ref Miller, J. 2001. Escaping senescence demographic data from the three toed box turtle Terrapene carolina triunguis . Exp Gerontol 36 4 6 829 32. ref are thought to be negligibly senescent. The age of a captured fish specimen can be measured by examining growth patterns similar to tree rings on the otoliths parts of motion sensing organs . ref Bennett, J. 1882. Confirmation on longevity in Sebastes diploproa pisces Scorpaenidae from 210Pb 226Ra measurements in otoliths . Maritime Biology 71 209 215. ref Study of negligibly senescent animals may provide clues that lead to better understanding of the aging process ref Guerin, J. 2004. Emerging area of aging research long lived animals with negligible senescence . Ann N Y Acad Sci. 1019 518 20. ref and influence evolution of ageing theories of aging . The phenomenon of negligible senescence in some animals is a traditional argument for attempting to achieve similar negligible senescence in humans ... immortality Strategies for Engineered Negligible Senescence http translate.google.ru translate?sl ru&tl ... More detailed Wiki article on negligible senescence translated from Russian References reflist senescence DEFAULTSORT Negligible Senescence Category Aging Category Biological evolution ru Negligible senescence uk Negligible senescence ... more details
otheruses negligible onlyinclude In mathematics, a negligible function is a Function mathematics function math mu x mathbb N rightarrow mathbb R math such that for every positive integer c there exists an integer N sub c sub such that for all x N sub c sub , math mu x frac 1 x c . math onlyinclude Equivalently, we may also use the following definition. A function math mu x mathbb N rightarrow mathbb R math is negligible , if for every positive polynomial poly there exists an integer N sub poly sub 0 such that for all x N sub poly sub math mu x frac 1 text poly x . math History The concept of negligibility can find its trace back to sound models of analysis. Though the concepts of continuous function continuity and infinitesimal became important in mathematics during Isaac Newton Newton and Gottfried Leibniz Leibniz s time 1680s , they were not well defined until late 1810s. The first reasonably rigorous definition of continuity in mathematical analysis was due to Bernard Bolzano , who wrote in 1817 the modern definition of continuity. Lately Augustin Louis Cauchy Cauchy , Karl Weierstrass Weierstrass and Eduard Heine Heine also defined as follows with all numbers in the real number domain math mathbb R math Continuous function A function math f x mathbb R rightarrow mathbb R math is continuous at math x x 0 math if for every math epsilon 0 math ... poly x math where math poly x math is a positive polynomial. This leads to the definitions of negligible ... as math 1 poly x math with a constant polynomial this shows that negligible functions are a subset ... pseudorandom bits from truly random bits is negligible in terms of the input math x math cryptographic ..., if an attack succeeds in violating a security condition only with negligible probability, and the attack ... still remains negligible. In practice one might want to have more concrete security concrete functions ... publisher Mathematics Studies 84, North Holland isbn 0 444 86830 5 See also Negligible set ... more details
Strategies for Engineered Negligible Senescence SENS is the term coined by British biogerontologist Aubrey de Grey for the diverse range of Regenerative medicine regenerative medical therapies, either planned or currently in development ref Research Themes January 20, 2012 . http www.sens.org sens research research themes . SENS Foundation website ref , for the periodical repair of all age related damage to human tissue with the ultimate purpose of maintaining a state of negligible senescence in the patient, thereby postponing age associated disease for as long as the therapies are reapplied. ref name EndingAging de Grey, Aubrey Rae, Michael September 2007 . Ending Aging The Rejuvenation Breakthroughs that Could Reverse Human Aging in Our Lifetime . New York, NY St. Martin s Press, 416 pp. ISBN 0312367066. ref The term negligible senescence was first used in the early 1990s by professor Caleb Finch to describe organisms such as lobsters and hydra s, which do not show symptoms of aging. The term engineered negligible senescence first appeared in print in Aubrey de Grey s 1999 book The Mitochondrial Free Radical Theory of Aging , ref name isbn1587061554 de Grey, Aubrey November 2003 . The Mitochondrial ... constitute negligible senescence cell loss or atrophy without replacement , ref name pmid11976218 .... June 2004 . Strategies for Engineered Negligible Senescence Why Genuine Control of Aging May Be Foreseeable ... SENS conference was held in September 2005 and was simply called Strategies for Engineered Negligible ... Negligible Senescence SENS , Second Conference September 7 11, 2005 . Methuselah Foundation ... for Engineered Negligible Senescence SENS , Third Conference September 6 10, 2007 . Methuselah Foundation ... in England, organized by de Grey. ref cite web title Strategies for Engineered Negligible Senescence ... Negligible Senescence Covering the SENS4 conference work Research in the biology of aging publisher ... 0312367066. DEFAULTSORT Strategies For Engineered Negligible Senescence Category Aging Category Regenerative ... more details
In cryptography , the security parameter is a variable that measures the input size of the problem. Both the resource requirements of the cryptographic algorithm or protocol as well as the adversary cryptography adversary s probability of breaking security are expressed in terms of the security parameter. The security parameter size n is usually expressed in Unary numeral system unary representation i.e. a n long string of bits 1 so that the cryptographic algorithm execution efficiency can be polynomial time in the length of the input size. Typical security parameters The length, in bits, of the key used in a cryptographic scheme. See also Key size Negligible function cryptography Negligible function Category Cryptography crypto stub ... more details
Unreferenced stub auto yes date December 2009 A political party with a negligible electoral support relative to the total national electorate is often described as a fringe party . While some fringe parties are List of frivolous political parties frivolous , this is by no means universally the case and precedents exist for fringe parties and movements becoming mainstream . Category Political parties DEFAULTSORT Fringe Party Poli org stub ... more details
Luzerner Kantonalbank is the cantonal bank and the dominant retail banking group in the Swiss canton of Canton of Lucerne Lucerne , with a market share of 50 60 . It is main focus on financing small businesses and personal mortgages in the local economy, the bank has avoided some of the issues facing its larger peers in Switzerland and non performing loans remain at negligible levels. Switzerland bank stub Banks of Switzerland Category Banks of Switzerland de Luzerner Kantonalbank ... more details
Wiktionary sens Sens is a town and commune in France. Sens or SENS may also refer to Ottawa Senators , a National Hockey League NHL ice hockey team. Strategies for Engineered Negligible Senescence , a regenerative medicine proposal. SENS Foundation , a non profit organization based in California, USA co founded by Aubrey de Grey to carry on Strategies for Engineered Negligible Senescence SENS based research programs and public relations work for the acceptance of and interest in scientific rejuvenation research. S.E.N.S. , a Japan Japanese instrumental group. Daewoo Sens , a Ukraine Ukrainian version of the Daewoo Lanos automobile. Samsung Sens , a laptop computer series from Samsung . System Event Notification Service , a part of the Microsoft Windows operating system . Sens or Se s is also a surname surname Sens Maksims Se s born 1985 , Latvian footballer disambig de Sens fr Sens ko SENS pl Sens ro Sens uk ... more details
In computational complexity , if math scriptstyle D n n in mathbb N math and math scriptstyle E n n in mathbb N math are two distribution ensemble s indexed by a security parameter n which usually refers to the length of the input , then we say they are computationally indistinguishable if for any Uniformity complexity non uniform probabilistic polynomial time algorithm A , the following quantity is a negligible function cryptography negligible function in n math delta n left Pr x gets D n A x 1 Pr x gets E n A x 1 right . math In other words, for every efficient algorithm A , its behavior does not significantly change when given samples according to D sub n sub or E sub n sub . planetmath id 3457 title computationally indistinguishable References Donald Beaver and Silvio Micali and Phillip Rogaway, The Round Complexity of Secure Protocols Extended Abstract , 1990, pp. 503 513 S. Goldwasser and S. Micali. Probabilistic Encryption. JCSS, 28 2 270 299, 1984 O. Goldreich. Foundations of Cryptography Volume 2 Basic Applications. Cambridge University Press, 2004. Jonathan Katz, Yehuda Lindell, Introduction to Modern Cryptography Principles and Protocols, Chapman & Hall CRC, 2007 External links Yehuda Lindell. Introduction to Cryptography lecture notes http u.cs.biu.ac.il lindell 89 656 main 89 656.html Category Algorithmic information theory comp sci theory stub crypto stub ... more details
Nofootnotes date February 2009 Refimprove date February 2009 In mathematics , in the area of classical potential theory , polar sets are the negligible sets , similar to the way in which sets of measure zero are the negligible set s in measure theory . Definition A set math Z math in math R n math where math n ge 2 math is a polar set if there is a non constant subharmonic function math u math on math R n math such that math Z subseteq x u x infty . math Note that there are other equivalent ways in which polar sets may be defined, such as by replacing subharmonic by superharmonic , and math infty math by math infty math in the definition above. Properties The most important properties of polar sets are A singleton set in math R n math is polar. A countable set in math R n math is polar. The union of a countable collection of polar sets is polar. A polar set has Lebesgue measure zero in math R n. math See also Pluripolar set References J. L. Doob. Classical Potential Theory and Its Probabilistic Counterpart , Springer Verlag, Berlin Heidelberg New York, ISBN 3 540 41206 9. L. L. Helms 1975 . Introduction to potential theory . R. E. Krieger ISBN 0 88275 224 3. planetmath reference id 6020 title Polar set Category Subharmonic functions mathanalysis stub zh ... more details
In telecommunication , the term steady state condition has the following meanings In a communications telecommunications circuit circuit , a condition in which some specified characteristic of a condition, such as a value, rate, periodicity, or amplitude, exhibits only negligible change over an arbitrarily long period. In an electric circuit , the condition that exists after all initial transients or fluctuating conditions have damped out, and all currents, voltages, or fields remain essentially constant, or oscillate uniformly. In fiber optics , synonym for equilibrium mode distribution . References FS1037C MS188 Category Telecommunications terms telecomm term stub ... more details
lunar crater data latitude 4.9 N or S N longitude 32.3 E or W E diameter 6 km depth 1.1 km colong 328 eponym Otto Wallach Wallach is a tiny moon lunar impact crater located in the eastern Mare Tranquillitatis . It is a circular, bowl shaped feature with a negligible interior floor the inner walls just slope down to the mid point of the crater. Wallach is located to the northeast of the crater Maskelyne crater Maskelyne , near some low ridges in the lunar mare . It was previously identified as Maskelyne H before being given a name by the International Astronomical Union IAU . References Lunar crater references Category Impact craters on the Moon Moon crater stub de Wallach Mondkrater fa it Wallach cratere ... more details
Multiple issues context October 2009 notability March 2010 original research March 2010 Unreferenced date December 2009 In computer programming the improbability factor is a situation where a problem exists in a Computer system system . citation needed date March 2010 Frequently, the programmer s are aware of the problem, but they are not allowed to fix the problem, solely because the chances of the problem ever surfacing are supposedly negligible compared to other problems that could be solved with the programmers time and money. As a result, the problem may still occur and do heavy damage due to Murphy s law . The improbability factor is an example of an anti pattern . DEFAULTSORT Improbability Factor Category Anti patterns Compsci stub ... more details
Unreferenced stub auto yes date December 2009 In video , skip field recording is a process in which only one field video field one half of a video frame frame of video is recorded in order to conserve recording media space. For some kinds of recording, the quality loss of not using both fields of video is fairly negligible, it results in the loss of half of possible vertical video resolution and temporal resolution. It was a common method used in early telerecording systems, as well as early and current non professional industrial videotape formats such as CV 2000 and Cartrivision . DEFAULTSORT Skip Field Category Film and video technology Filming stub ... more details
The Levy Mises equations also called flow rules describe the relationship between Shear stress stress and Strain materials science strain for an ideal Plasticity physics plastic solid where the Elasticity physics elastic strains are negligible. The generalized Levy Mises equation can be written as math frac mathbf d varepsilon 1 sigma 1 frac mathbf d varepsilon 2 sigma 2 frac mathbf d varepsilon 3 sigma 3 mathbf d lambda math Category Materials science Category Continuum mechanics Category Solid mechanics mathapplied stub fa ... more details
Let the statistical difference ref Amit Sahai, Salil P. Vadhan A complete problem for statistical zero knowledge. J. ACM 50 2 196 249 2003 ref between two distributions math X math and math Y math be defined as math Delta X,Y frac 1 2 sum a Pr X alpha Pr Y alpha math . We say that two probability ensembles math X k k in N math and math Y k k in N math are statistically close if math Delta X k,Y k math is a negligible function in math k math . Statistical difference is based on the L1 norm . References references See also Zero knowledge proof Category Cryptography crypto stub ... more details
In solid mechanics , quasistatic loading refers to loading where inertial effects are negligible . In other words time and Mass inertial mass are irrelevant. ref cite web last Yavari first Arash title quasi static loading iMechanica url http imechanica.org node 8437 work A static load is time independent. A dynamic load is time dependent and for which inertial effects cannot be ignored. A quasi static load is time dependent but is slow enough such that inertial effects can be ignored. Note that a load quasi static for a given structure made of some material may not be quasi static for another structure made of a different material accessdate 10 April 2011 ref References references Category Solid mechanics classicalmechanics stub ... more details
Notability Web date July 2008 Primarysources date June 2008 With visibility of gays and Lesbians being negligible in traditional media within Japan, GAYJAPANNEWS was launched in 2005 as the first news service specializing in LGBT issues from around the world in the Japanese Language. The site is primarily in Japanese but with some English available. See also Gay rights in Japan Homosexuality in Japan Shinjuku ni ch me , Tokyo List of LGBT events References div class references small references div External links http gayjapannews.com index english.htm GayJapanNews Bilingual coord missing Japan LGBT in Japan Category Gay villages in Japan Category LGBT related media in Japan ja ... more details
one source date February 2012 During sampling of Particulate matter particulate materials , correct sampling is defined in Gy s sampling theory as a sampling scenario in which all particles in a population have the same probability of ending up in the sample. ref name Gy1979 P. M. Gy 1979 , Sampling of Particulate Materials theory and practice. Elsevier Amsterdam, 431 pp. ref The concentration of the property of interest in a sample can be a Bias statistics biased estimate for the concentration of the property of interest in the population from which the sample is drawn. Although generally non zero, for correct sampling this bias is thought to be negligible. ref name Gy1979 See also Particulate matter sampler Statistical sampling Gy s sampling theory References Reflist Category Sampling statistics Category Particulates Category Meteorological instrumentation and equipment statistics stub ... more details
File Tobruk Agedabia road2.jpg thumb legend 000099 Via Balbia br legend 990000 Tobruk Ajdabiya Road Tobruk Ajdabiya Road is an asphalt road linking Tobruk and Ajdabiya , in the Cyrenaica region of northeastern Libya . It is used primarily by travelers between Tripoli and Toburk. The road has shortened the distance between Tobruk and Ajdabiya to about 410 km 256 mi , from 610 km 388 mi via the Libyan Coastal Highway Via Balbia . However, because the social relations between Tobruk and Ajdabiya are almost nonexistent, the traffic on the road is negligible. Category Roads in Libya Category Al Wahat District Category Tobruk Category Cyrenaica ar de W stenstra e Tobruk Adschdabiya ... more details
Orphan date March 2011 Interface Logic Model ILM is a technique to model blocks in hierarchal VLSI implementation flow. The advantage of ILM is that entire path clock to clock path is visible at top level for interface nets unlike traditional block based hierarchal implementation flow. That gives better accuracy in analysis for interface nets at negligible additional memory and runtime overhead. File Flat ilm block view vlsi 600x540.tiff References http www.emba.uvm.edu jswift uvm class notes phys syn.pdf Introduction to Physical Compiler and ILM Flow Category Integrated circuits ... more details
The National Civic Union Spanish language Spanish Uni n C vica Nacional , UCN was a small centrist political party in Bolivia . The National Civic Union was founded in 1964 . This party of recent origin was allegedly financed by the governmrnt of V ctor Paz Estenssoro to provide a token opposition, because other opposition parties boycotted the election on 31 May 1964 . ref Hispanic American report. Vol 17 1 9. 1964. P. 442. ref The National Civic Union presented any candidates for the 10 Senate and 36 Chamber of Deputies seats up for election, but it garnered only a negligible vote. ref Elections in the Americas a data handbook ed. by Dieter Nohlen, Vol. 2. Oxford u.a. Oxford Univ. Press, 2005. P.150. ref Notes reflist Category Political parties in Bolivia Category Political parties established in 1964 ... more details
dicdef In probability theory , given a probability space math Omega, mathcal F , mathbb P math , a Filtration mathematics filtration math mathbb F mathcal F t t geq 0 math is said to satisfy the usual hypotheses if ref Pascucci, Andrea. Pde and Martingale Methods in Option Pricing . Berlin Springer, 2011. ref math mathcal F 0 math contains all math mathbb P math negligible events. math mathbb F math is Right continuous Directional continuity right continuous . References Reflist Category Probability theory probability stub ... more details
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