. ref http www.continuitas.org intro.html Aline& 93 i, Mario. The PaleolithicContinuityTheory ..., an informal workgroup of scholars who support the PaleolithicContinuityTheory has been held online ... www.continuitas.org intro.html Alinei, Mario. The PaleolithicContinuityTheory on Indo European Origins ... with the PaleolithicContinuityTheory PCT is the historical reconstruction proposed by Alinei ... Theory summary ref Arguing that continuity is the archeologist s easiest pursuit, Alinei ... . Il Mulino, Bologna, 2003 summary . ref The PaleolithicContinuity hypothesis reverses the Kurgan ... Tongue , a journal dedicated to the reconstruction of Paleolithic language, judging Alinei s theory ... industry are very debatable. Alinei s core theorycontinuity from the Palaeolithic , runs into a serious ... Indo European Urheimat hypotheses Indigenous Aryan Theory Regional Continuity Model Polygenism References ... the continuitytheory . Quaderni di Semantica 21, 2000, pp. 21 50. Alinei, Mario 2002 ...Indo European topics sprotected2 primary sources date October 2011 undue date October 2011 The PaleolithicContinuityTheory or PCT , Italian La teoria della continuit , since 2010 relabelled as the PaleolithicContinuity Paradigm or PCP , is a hypothesis suggesting that the Proto Indo European language PIE can be traced back to the Upper Paleolithic , several millennia earlier than the Chalcolithic ... is Mario Alinei , who advanced the theory in his Origini delle Lingue d Europa , published ... in Europe and Asia from Africa in the Upper Paleolithic . ref name continuitas Employing lexical ... ref name continuitas Continuity is the basic pattern of European prehistory and the basic working ... of human evolution. Archaeological frontiers coincide with linguistic frontiers. The continuitytheory draws on a Continuity Model CM , positing the presence of IE and non IE peoples and languages in Europe from Paleolithic times and allowing for minor invasions and infiltrations of local scope ... more details
Continuitytheory How elders find wisdom in spite of it all url http www.asaging.org at at 214 continuity.html accessdate 2007 12 16 ref According to this theory , older adults try to maintain this continuity ... journal author Atchley R. C. year 1989 title A continuitytheory of normal aging journal The Gerontologist volume 29 pages 183 190 issue 2 pmid 2519525 ref The continuitytheory is one of three major ... theory , with which the continuitytheory comes to odds, and the Activity theory aging activity theory upon which the continuitytheory modifies and elaborates. Unlike the other two theories, the continuitytheory uses a life course perspective to define normal aging. The continuitytheory can be classified as a micro level theory because it pertains to the individual, and more specifically it can ... try to obtain a state of Social equilibrium equilibrium . History The continuitytheory originated ... L. Sprott encyclopedia Encyclopedia of Aging title ContinuityTheory edition 4th year 2006 publisher ... of social activity in relation to life satisfaction . The continuitytheory was formerly ... article entitled A ContinuityTheory of Normal Aging, in The Gerontologist in which he substantially developed the theory. In this article, he expanded the continuitytheory to explain the development ... his theory in his book Continuity and Adaptation in Aging Creating Positive Experiences . ref ... theory feminist theories also attack the continuitytheory for defining normal aging around a male ... R. C. year 1989 title A continuitytheory of normal aging journal The Gerontologist volume 29 pages ...for the anthropological theory Multiregional origin of modern humans Image IMG 0996 Lhasa Barkhor.jpg thumb 250px right An elderly Tibet an woman holding a prayer wheel demonstrates the continuitytheory. Despite their age, older adults generally maintain the same traditions and beliefs. The continuitytheory of normal Aging life cycle aging states that older adults will usually maintain the same activities ... more details
Paleolithic The Paleolithic or Pal olithic Age , Era or Period , is a prehistoric period of human history ... Toth first2 Kathy last2 Schick year 2007 volume Volume 3 contribution 21 Overview of Paleolithic ... ref The Paleolithic era is followed by the Mesolithic . The date of the Paleolithic Mesolithic boundary may vary by locality as much as several thousand years. During the Paleolithic, humans ... books?id aJgp94zNwNQC&printsec frontcover PPA8 Page 6 12 ref The Paleolithic is characterized ... artifacts of the Paleolithic era are known as paleolith s. Humankind gradually evolved from ... behaviorally and anatomically modern humans Homo sapiens sapiens during the Paleolithic era. ref ... the end of the Paleolithic, specifically the Middle and or Upper Paleolithic, humans began to produce ... cite book url http books.google.com ?id xCa5zfefWVUC&printsec frontcover&vq Middle Paleolithic title ..., from http www.sciencedaily.com releases 2006 11 061130081347.htm ref The climate during the Paleolithic ... fluctuated between warm and cool temperatures. The term wikt PaleolithicPaleolithic was coined by archaeologist ... to the Paleolithic. Human evolution File Homo heidelbergensis Cranium 5.jpg thumb This human skull cranium , of Homo heidelbergensis , a Lower Paleolithic predecessor to Homo neanderthalensis and possibly ... File AntarcticaDomeCSnow.jpg thumb left The Paleolithic climate consisted of a set of glacial and interglacial periods The climate of the Paleolithic Period spanned two geologic epochs known ... seas were frozen. During the late Upper Paleolithic Latest Pleistocene c. 18,000 BP, the Beringa land .... Retrieved February 14, 2008. ref The ice age ended with the end of the Paleolithic era the end ... in size, resulting in a drop in population. The small populations were then hunted out by Paleolithic ... as Paleolithic geoclimatic episodes ref Gamble, Clive 1990 , El poblamiento Paleol tico de Europa, Barcelona ... on evidence found at Terra Amata in Nice, France Nice , France and dated to the Lower Paleolithic c ... more details
wiktionary continuityContinuity may refer to In mathematics The opposing concept to Discrete mathematics discreteness common examples include Continuous probability distribution or random variable in probability and statistics Continuous game , a generalization of games used in game theory Law of Continuity , a heuristic principle of Gottfried Leibniz Continuous function in particular Continuity topology , a generalization to functions between topological spaces Scott continuity , for functions between posets Continuity set theory , for functions between ordinals Continuity category theory , for functors Graph continuity , for payoff functions in game theoryContinuity theorem may refer to one of two results L vy s continuity theorem on random variables Kolmogorov continuity theorem on stochastic processes In geometry Parametric continuity , for parametrised curves Geometric continuity , a concept primarily applied to the conic sections and related shapes Continuity equation for application in electromagnetic theory, fluid dynamics and quantum mechanics Other uses Continuity album , an album by electronic indie group Wedlock Continuity of Operations Plan , a United States Federal initiative to ensure that agencies are able to continue performance of essential functions under a broad range of circumstances Continuity fiction , the consistency of the characteristics of persons, plot, objects, places and events seen by the reader or viewer Continuity supervisor or script supervisor, a member of a film crew responsible for maintaining continuity of the motion picture Continuity broadcasting , messages other than advertisements played by broadcasters between programmes An unbroken Electrical network electrical path in an electronic circuit or connector Health care continuity In ethnography and ethnic nationalism, ethnic continuity or indigenism In materials science a colloid ... wave is an electromagnetic wave of constant amplitude and frequency Continuity editing , a film ... more details
the late Lower Paleolithic but this theory is widely questioned in the scientific community. Cut marks ...Image Gabillou Sorcier.png right 150px thumb Picture of a half animal half human in a Paleolithic cave ... hybrid hybrid figures as evidence for early shamanic practices during the PaleolithicPaleolithic Religious behaviour is thought to have emerged by the Upper Paleolithic , before 30,000 ... as religious or as ancestral to religious behaviour reach back into the Middle Paleolithic ... have had separate histories of development during the Middle Paleolithic before combining into religion ... experience in the Lower Paleolithic significantly earlier than 300,000 years ago, pre Homo ... aboutornet1.html About OriginsNet by James Harrod ref Middle Paleolithic The Middle Paleolithic Middle Stone Age spans the period from 300,000 to 50,000 years ago. Some of the earliest ... that Middle Paleolithic societies such as that of the Neanderthals may also have practiced the earliest .... Emil B chler in particular suggests based on archeological evidence from Middle Paleolithic caves that a widespread Middle Paleolithic Neanderthal bear worship bear cult existed Reference idWunn2000 Wunn, 2000 , p. 434 435 . A claim that evidence was found for Middle Paleolithic animal worship ... Upper Paleolithic period such as the bear cult may have had their origins in these hypothetical Middle Paleolithic animal cults. ref name Narr cite web url http concise.britannica.com ... Paleolithic intertwined with hunting rites. ref name Narr For instance archeological evidence from ... 100,000 years. Upper Paleolithic File Wien NHM Venus von Willendorf.jpg right thumb The Venus of Willendorf , a statue thought to have had a religious function for Paleolithic peoples Other scholars ... from the middle to the Upper Paleolithic . Increasing evidence of burial with grave goods and the appearance of anthropomorphic images and cave paintings may suggest that humans in the Upper Paleolithic ... more details
Paleolithic but this theory is widely questioned in the scientific community. Cut marks on Neanderthal ... year old M1 & M2 phases at Blombos cave. Paleolithic 232 The Middle Paleolithic or Middle Palaeolithic is the second subdivision of the Paleolithic or Old Stone Age as it is understood in Europe , Africa and Asia . The term Middle Stone Age is used as an equivalent or a synonym for the Middle Paleolithic ... millerwood MillerWood c08.pdf page 768 ref The Middle Paleolithic and the Middle Stone Age broadly .... The Middle Paleolithic Middle Stone Age was succeeded by the Upper Paleolithic subdivision which ... Age Middle Paleolithic around 100,000 or 70,000 years ago and began to replace earlier pre existent ... Paleolithic Middle Stone Age undisputed evidence of behavioral modernity, however, only becomes common during the following Upper Paleolithic period. ref name Miller2006 Middle Paleolithic burials ... and archeologists, such as Philip Lieberman , to believe that Middle Paleolithic cultures ... of artistic expression during the Paleolithic period comes from Middle Paleolithic Middle Stone Age ... of Tan Tan and the patterns found on elephant bones from Bilzingsleben Paleolithic site ... to the start of the Middle Paleolithic period. ref http encarta.msn.com encyclopedia 761566394 13 ... Ideas that changed the world by Felipe Fernandez Armesto ref and raw materials during the Middle Paleolithic ... group trade may have appeared during the Middle Paleolithic because trade between bands would have ... scientist at Zagros Paleolithic Museum Evidence from archeology and comparative ethnography indicates that Middle Paleolithic Middle Stone Age people lived in small egalitarian band societies similar to those of Upper Paleolithic societies and some existent Hunter gatherers such as the Bushmen Kung ... societies took care of the elderly members of their societies during the Middle Paleolithic. ref ... may have arisen in Middle Paleolithic societies because of a need to distribute resources such as food ... more details
Cleanup date March 2008 Refimprove date March 2008 Paleolithic Europe refers to the Paleolithic period of Europe , a prehistory prehistoric era distinguished by the development of the first stone tool s and which covers roughly 99 of human technological history. ref name Thoth&Schick cite book title Handbook of Paleoanthropology url http www.springerlink.com content u68378621542472j author Nicholas Toth and Kathy Schick year 2007 publisher Springer Berlin Heidelberg isbn 978 3 540 32474 4 Print 978 ... the paleolithic began 2.6 million years ago.&dq the paleolithic began 2.6 million years ago. year 1989 ... ref Homo erectus and Homo heidelbergensis evolved in Paleolithic Europe long before the emergence of modern ... BCE in the Prehistoric Balkans Balkans . details Prehistoric Europe Paleolithic Lower Paleolithic ... technology since c. 300,000 BP . Middle Paleolithic Eventually these European Homo erectus ... technique for a long time and they may have first settled Europe while this Mid Paleolithic technique ... that the Middle Paleolithic Neanderthal inhabitants of Europe may have made and used musical ... I cave , cited by Morley, p. 47 ref Upper Paleolithic Ancient Upper Paleolithic The bearers of most or all Upper Paleolithic technologies were H. sapiens . Some locally developed transitional cultures Szletian in Central Europe and Chatelperronian in the Southwest use clearly Upper Paleolithic technologies ... appear during this phase. Middle Upper Paleolithic Around 32,000, the Gravettian culture appears ... from the Middle East, Anatolia, and the Balkans. A theory suggests they carried the Haplogroup I ... Upper Paleolithic Around 17,000 BCE, Europe witnesses the appearance of a new culture, known as Magdalenian ... Europe, epi Gravettian cultures continue evolving locally. With the Magdalenian culture, Paleolithic ... of Europe Neolithic Europe Prehistoric Europe References Reflist External links Links to Paleolithic ... of Europe Category Paleolithic Category Prehistoric Europe pl Paleolit w Europie ... more details
File Laussel.jpg thumb 225px Venus of Laussel , an Upper Paleolithic Aurignacian carving. Paleolithic 233 The Upper Paleolithic or Upper Palaeolithic , and also in some contexts Late Stone Age is the third and last subdivision of the Paleolithic or Old Stone Age as it is understood in Europe, Africa and Asia. Very broadly, it dates to between 40,000 and 9th millennium BCE 10,000 years ago, roughly coinciding with the appearance of behavioral modernity and before the advent of agriculture . The terms Late Stone Age and Upper Paleolithic refer to the same periods. For historical reasons, Stone Age usually refers to the period in Africa, whereas Upper Paleolithic is generally used when referring ... , Jul 1998 ref This shift from Middle to Upper Paleolithic is called the Upper Paleolithic Revolution ... Paleolithic Artistic work blossomed, with Venus figurine s, cave painting, carvings and engravings ... No Last Word on Language Origins , Bellarmine University ref This theory is not widely ... levels, though the climate was wetter. This period saw the Upper Paleolithic give way to the start of the following ... of the no doubt busy human activity along Europe s coasts in the Upper Paleolithic is therefore ... Map of findings of Upper Paleolithic art in Europe. Image Venus de Brassempouy.jpg thumb The Venus ... Alps , earliest figurative art Venus of Schelklingen , beginning Aurignacian the first Paleolithic flutes ... extinction . earliest evidence of paleolithic warfare warfare 12 000 BCE 11,500 BCE 10,000 BCE ... Image Wells Reindeer Age articles.png thumb Reindeer Age articles The Upper Paleolithic in the Franco ... uprevolution.php The Upper Paleolithic Revolution http www.iabrno.cz agalerie aagalery.htm Picture Gallery of the Paleolithic reconstructional palaeoethnology , Libor Bal k at the Czech Academy of Sciences, the Institute of Archaeology in Brno, The Center for Paleolithic and Paleoethnological Research Category Upper Paleolithic Category Pleistocene Category Millennia als Jungpal olithikum ... more details
About a modern nutritional approach information on the dietary practices of Paleolithic humans Paleolithic Diet and nutrition File Brazilian bouillabaisse.jpg thumb 300px Paleolithic style dish seafood stew The paleolithic diet abbreviated paleo diet or paleodiet , also popularly referred to as the caveman ... during the Paleolithic era a period of about 2.5 million years duration that ended around 10,000 years ago with the development of agriculture. In common usage, such terms as the Paleolithic ... Paleolithic diet consists mainly of fish, grass fed pasture raised meats, vegetables, fruit, root ... Paleolithic Food Groups journal Journal of the American Nutraceutical Association volume 5 issue 5 pages ... Paleolithic nutrition is based on the premise that modern human s are genetically Adaptation adapted to the diet of their Paleolithic ancestors and that human genetics have scarcely changed since the dawn ... similar to those of Paleolithic hunter gatherer s are largely free of diseases of affluence ... 40 chapter Paleolithic diet chapterurl http books.google.com books?id JUcjUGBV6kC&pg PA139&lpg PA139 ... 119 23 pmid 11817904 ref and that two small prospective studies of the Paleolithic diet in humans have ... 10.1038 ejcn.2009.4 title Metabolic and physiologic improvements from consuming a paleolithic, hunter ... name Elton2008 and are not likely to accurately reflect the features of ancient Paleolithic diets. ref ... authorlink1 Marion Nestle title Paleolithic diets a sceptical view journal Nutrition Bulletin .... ref name usn2012bdo Loren Cordain, a proponent of a low carbohydrate Paleolithic diet, responded ... Walter L. Voegtlin was one of the first to suggest that following a diet similar to that of the Paleolithic ... are carnivorous animals and that the ancestral Paleolithic diet was that of a carnivore chiefly fats ... Konner , both of Emory University , published a key paper on Paleolithic nutrition in the New England ... first2 Melvin authorlink2 Melvin Konner title Paleolithic Nutrition A Consideration of Its Nature and Current ... more details
width 30px sea black outline indicates present day Japan The Nihongo Japanese Paleolithic period ... , Shinanomachi, Nagano . Pre J mon Paleolithic period, 30,000 BC. Tokyo National Museum . The Japanese Paleolithic is also unique in that it incorporates the earliest known ground stone tools and polished ... particularly benefited from it. Because of this originality, the Japanese Paleolithic period in Japan does not exactly match the traditional definition of Paleolithic based on stone technology chipped stone tools . Japanese Paleolithic tool implements thus display Mesolithic and Neolithic traits as early as 30,000 BC. Paleoanthropology Citations missing date March 2008 The Paleolithic populations ... of Hokkaid , appear to be the descendants of these Paleolithic populations, and display features ... as part of that early Paleolithic human stock. Genetic analysis on today s populations is not clear ... population today derives from the aboriginal Paleolithic J mon ancestry, with the remainder coming from later migrations from the continent, especially during the Yayoi . Archaeology of the Paleolithic period The study of the Paleolithic period in Japan was not begun until quite recently the first Paleolithic site was discovered right after the end of World War II . Due to the previous ... Paleolithic find by Tadahiro Aizawa , around 5,000 Paleolithic sites have been discovered, some of them at existing J mon archaeological sites. The study of the Japanese Paleolithic period is characterized ... the reputation of Japanese archaeology of the Paleolithic was heavily damaged by a scandal. The Mainichi ... periods Japanese Paleolithic Hoax References references Further references The History and Geography ... of Japan Category Ancient Japan Japanese Paleolithic Category Paleolithic Category Prehistoric Asia ... more details
A paleolithic lifestyle also known as paleo or primal lifestyle refers to living as humans did in the paleolithic era Old Stone Age , or attempting to recreate such a lifestyle in the present day. The rationale for such an approach is that human evolution humans have evolved for millions of years in a paleolithic environment. Therefore, their body and mind can be expected to be perfectly adapted to the concomitant hunter gatherer lifestyle. Agriculture , on the other hand, only appeared about 10 000 years ago at the beginning of the neolithic era , and industrial society only about 200 years ago. Proponents of a paleolithic lifestyle assert that insufficient time has passed for humans to adapt to the changes brought by farming and industrialization, leading to a misfit between modern lifestyle and the human genome. While small number of cultures in the world continue to live a paleolithic ... elements of a paleolithic lifestyle. ref P. Bethge 2010 http www.spiegel.de international zeitgeist ... 4 , 739 749 ref The movement is primarily associated with the paleolithic diet , but also includes going barefoot , and replicating a paleolithic exercise routine, or involve paleolithic survival skills ... is a natural lifestyle, given the evidence that paleolithic people and most present day hunter ... our modern lifestyle more in line with the one of our paleolithic ancestors, authors inspired ..., A. 2010 . The New Evolution Diet What Our Paleolithic Ancestors Can Teach Us about Weight Loss, Fitness ... of meat, fish, vegetables and fruit, while avoiding most forms of food not in existence in paleolithic ... ?q node 127 Evolutionary Well Being the paleolithic model , by Francis Heylighen http www.arthurdevany.com .... See also Ishi last contacted Native American, source of many paleolithic skills Evolutionary psychology ... on the way hunter gatherer childcare produces mental health and happiness DEFAULTSORT Paleolithic Lifestyle Category Paleolithic Category Lifestyle fi Luonnonmukaisuus ... more details
lifestyle that would remain dominant throughout the Paleolithic into the Mesolithic . The unlocking ... Paleolithic have been knapped using a Levallois technique, suggesting that Neanderthal Man Neanderthals ... . Whether control of fire and earliest paleolithic burial burials date to this period or only appear during the Middle Paleolithic is an open question. Also in Europe, there appeared a type of human ..., it does not appear in southeast Asia. Transition to the Middle Paleolithic see Homo rhodesiensis Anatomically ... to grow more complex, with prepared core technique lithics, earliest instances of paleolithic ... University Bloomington Category Lower Paleolithic ar ast Paleol ticu Inferior ... more details
A number of flute s dating to the Paleolithic Europe European Upper Paleolithic have been discovered. The undisputed claims are all products of the Aurignacian archaeological culture , beginning about 40,000 to 35,000 years ago, and have been found in the Swabian Alb region of Germany . These flutes represent the earliest known musical instrument s and provide valuable evidence of prehistoric music . The presence of these flutes demonstrates that a developed musical tradition existed from the earliest period of modern human presence in Europe. ref name NYTimes cite journal last Wilford first John N. authorlink coauthors title Flutes Offer Clues to Stone Age Music journal The New York Times volume 459 issue 7244 pages 248 52 publisher location date June 24, 2009 url http www.nytimes.com 2009 06 25 science 25flute.html accessdate June 29, 2009 issn doi 10.1038 nature07995 id pmid 19444215 ref Early flutes File PiscalDivjeBabe.jpg thumb The Divje Babe flute The artifact known as the Divje Babe flute , discovered in Slovenia in 1995, has been claimed as the oldest flute, though this is disputed. The artifact is a cave bear femur , approximately 43,000 years old, that has been pierced with spaced holes. Its discoverer suggested the holes were man made and that there may have been four originally before the item was damaged. ref name Turk1997 cite book title Mousterienska Koscena Piscal in druge najdbe iz Divjih Bab I v Sloveniji Mousterian Bone Flute and other finds from Divje babe I Cave site in Slovenia author Turk, Ivan, ed. publisher Znanstvenoraziskovalni Center Sazu, Ljubljana, Slovenia year 1997 isbn 961 6182 29 3 ref However, other scientists have argued that the holes are the result of chewing by a carnivore rather than by human design. ref name Derrico cite journal ... Gei enkl sterle cave. See also Art of the Upper Paleolithic References reflist External links 35.000 ... played on Divje Babe flute by Ljuben Dimkaroski Category Ancient music Category Upper Paleolithic ... more details
In measure theory , a continuity set of a measure is any Borel set B such that math mu partial B 0 ,. math The class of all continuity sets for given measure forms a Ring of sets ring . ref Cuppens, R. 1975 Decomposition of multivariate probability. Academic Press, New York. ref Similarly, for a random variable X a set B is called continuity set if math Pr X in partial B 0, math otherwise B is called the discontinuity set . The collection of all discontinuity sets is sparse set sparse . In particular, given any collection of sets B sub sub with pairwise disjoint boundaries, all but at most countably many of them will be the continuity sets. ref van der Vaart 1998 Asymptotic statistics. Cambridge University Press. ISBN 978 0 521 78450 4. Page 7 ref The continuity set C f of a function f is the set of points where f is continuous. References reflist Category Measure theory mathanalysis stub ... more details
In mathematics and statistics , the continuity theorem may refer to one of the following results the L vy continuity theorem on random variable s the Kolmogorov continuity theorem on stochastic processes . See also Continuity disambiguation Disambig math ... more details
Refimprove date November 2009 Original research date March 2010 Continuity editing is the predominant ... s and television program s. The purpose of continuity editing is to smooth over the inherent discontinuity ..., logical coherence is achieved by cutting to continuity, which emphasizes smooth transition of time and space. However, some films incorporate cutting to continuity into a more complex classical cutting technique, one which also tries to show psychological continuity of shots. The Montage filmmaking ... physical action for its continuity. Common techniques of continuity editing Continuity editing can be divided into two categories temporal continuity and spatial continuity. Within each category, specific techniques will work against a sense of continuity. In other words, techniques can cause ... style. The important ways to preserve temporal continuity are avoiding the Ellipsis narrative ... on action technique. An ellipsis is an apparent break in natural time continuity as it is implied in the film s story. The simplest way to maintain temporal continuity is to shoot and use all action involved ... would prove necessary, elimination of it altogether would best preserve any film s temporal continuity ... continuous. Match on action technique can preserve temporal continuity where there is a uniform ... views, while maintaining temporal continuity by being sure that the second shot shows the arm of the subject ... scene would be a flashback. The montage technique is one that implies no real temporal continuity ... continuity to overall continuity of a film is spatial continuity. And like temporal continuity ... the space in which the action is occurring. Its theory is that it is difficult for a viewer to become ... rule, eyeline match, and the previously discussed match on action, spatial continuity is attainable ... contradicting the continuity tools, one can take advantage of crosscutting and the jump cut . Cross ... may not become particularly disoriented, but under the principle of spatial continuity editing ... more details
In probability theory , if a random variable X has a binomial distribution with parameters n and p , i.e., X is distributed as the number of successes in n independent Bernoulli trial s with probability p of success on each trial, then math P X leq x P X x 1 math for any x 0, 1, 2, ... n . If np and n 1 &minus p are large sometimes taken to mean 5 , then the probability above is fairly well approximated by math P Y leq x 1 2 math where Y is a normal distribution normally distributed random variable with the same expected value and the same variance as X , i.e., E Y np and var Y np 1 &minus p . This addition of 1 2 to x is a continuity correction . A continuity correction can also be applied when other discrete distributions supported on the integers are approximated by the normal distribution. For example, if X has a Poisson distribution with expected value then the variance of X is also , and math P X leq x P X x 1 approx P Y leq x 1 2 math if Y is normally distributed with expectation and variance both . Applications Before the ready availability of statistical software having the ability to evaluate probability distribution functions accurately, continuity corrections played an important role in the practical application of statistical hypothesis test statistical tests in which the test statistic has a discrete distribution it was a special importance for manual calculations. A particular example of this is the binomial test , involving the binomial distribution , as in checking whether a coin is fair . Where extreme accuracy is not necessary, computer calculations for some ranges of parameters may still rely on using continuity corrections to improve accuracy while retaining simplicity. See also Yates s correction for continuity References Devore, Jay L., Probability and Statistics for Engineering and the Sciences , Fourth Edition, Duxbury Press, 1995. Feller, W ..., Vol. 16 No. 4, Page 319 329, 1945. Category Probability theory Category Statistical tests Category ... more details
In mathematical analysis , a modulus of continuity is a function math omega 0, infty to 0, infty math used to measure quantitatively the uniform continuity of functions. So, a function math f I to R math admits math omega math as a modulus of continuity if and only if math f x f y leq omega x y , math for all math x math and math y math in the domain of math f math . Since moduli of continuity are required ... a modulus of continuity. Moreover, relevance to the notion is given by the fact that sets of functions sharing the same modulus of continuity are exactly equicontinuity equicontinuous families ... omega t kt alpha math describe the H lder continuity , the modulus math textstyle omega t kt , log ... of limit Uniform continuity math epsilon, delta math definition of uniform continuity . The same ... of these notions allows to describe quantitatively the continuity at a point in terms of moduli of continuity. A special role is played by concave moduli of continuity, especially in connection ... between metric spaces, it is equivalent to admit a modulus of continuity that is either concave, or subadditive ..., the existence of such special moduli of continuity for a uniformly continuous function is always ensured ... continuous function on a general metric space admits a concave modulus of continuity if and only ... X math . Formal definition Formally, a modulus of continuity is any real extended valued function ... t omega 0 0. math Moduli of continuity are mainly used to give a quantitative account both of the continuity at a point, and of the uniform continuity, for functions between metric spaces, according ... modulus of continuity at the point math x in X math if and only if, math forall x in X d Y f x ,f x leq omega d X x,x . math Also, math f math admits math omega math as global modulus of continuity ... omega math is a modulus of continuity resp., at math x math for math f math , or shortly, math .... Elementary facts If math f math has math omega math as modulus of continuity and math omega 1 ... more details
measure theory equivalent . Thus absolute continuity induces a partial ordering of such equivalence ..., using Lebesgue integration and absolute continuity . For real valued functions on the real line two interrelated notions appear, absolute continuity of functions and absolute continuity of measures ... to the Radon Nikodym derivative , or density , of a measure. Absolute continuity of functions ... continuous. Absolute continuity of functions is a smoothness property which is stricter than continuous function continuity and uniform continuity . Definition Let I be an interval mathematics ... the two notions of absolute continuity Relation between the two notions of absolute continuity . Properties ... function is uniform continuity uniformly continuous and, therefore, Continuous function continuous . Every Lipschitz continuity Lipschitz continuous function mathematics function is absolutely ... Every absolutely continuous function is uniform continuity uniformly continuous and, therefore, Continuous function continuous . Every Lipschitz continuity Lipschitz continuous function mathematics function ... d tau mbox for all s, t subseteq I. math Absolute continuity of measures Definition A measure mathematics ... measure it is absolutely continuous &mdash then absolute continuity with respect to Lebesgue measure ... continuity Relation between the two notions of absolute continuity . Any other function satisfying ... . In symbols math mu ll nu iff left nu A 0 Rightarrow mu A 0 right . math Absolute continuity of measures ... continuity A finite measure on Borel set Borel subsets of the real line is absolutely continuous ... continuous with respect to the Lebesgue measure. If the absolute continuity holds then the Radon ... continuity still holds. ref harvnb Nielsen 1997 loc Proposition 15.7 on page 252 harvnb Athreya Lahiri ... B. last2 Lahiri first2 Soumendra N. title Measure theory and probability theory publisher Springer ... and measure theory publisher Wiley Interscience year 1997 isbn 0 471 59518 7 citation last Royden ... more details
A continuity offense is one of two main categories of basketball offenses, the other being motion offense . Continuity offenses are characterized by a pattern of movement, cuts, screens and passes which eventually leads back to the starting formation. At this point the pattern of movement is repeated, hence the name continuity offense. The most well known continuity offenses are the shuffle offense , flex offense , the wheel offense and John Wooden s UCLA cut . See also motion offense References Reflist Category Basketball terminology Category Basketball strategy ... more details
. Electromagnetism Main Charge conservation 3 currents In electromagnetic theory , the continuity equation ...A continuity equation in physics is an equation that describes the transport of a conserved quantity ... their respective appropriate conditions, a variety of physical phenomena may be described using continuity equations. Continuity equations are the stronger local form of conservation law s. All the examples of continuity equations below express the same idea, which is roughly that the total amount of the conserved ... place to place. Any continuity equation can be expressed in an integral form in terms of a flux ... operator which applies at a point. Continuity equations underlie more specific transport equations such as the convection ... . General equation Preliminary description File Continuity eqn open surface.svg 400px 400px right thumb Illustration of how flux f passes through open surfaces S vector S , flat or curved. File Continuity ..., the blue lines are the flux lines of q . As stated above, the idea behind the continuity equation ... V , math which has the dimension quantity L sup 3 sup . There are different ways to conceive the continuity ... sub . File Continuity eqn quantities.svg 250px 250px right thumb Illustration of q , , and f , and the effective ... f with may be used in the continuity equation. Elementary vector form Consider the case when the surfaces ... field can be applied, dimensional analysis leads to this form of the continuity equation math ... general cases, independent of whether a velocity field can be used or not, the continuity equation ... form The differential form for a general continuity equation is using the same q , and f as above ... to as a sources and sinks respectively. This general equation may be used to derive any continuity equation, ranging from as simple as the volume continuity equation to as complicated as the Navier ... mathematical form to the continuity equation, but are not usually called by the term continuity ... , this translates to 0, and the continuity equation is math frac partial varphi partial t nabla ... more details
In mathematical analysis , Lipschitz continuity , named after Rudolf Lipschitz , is a strong form of uniform continuity for function mathematics function s. Intuitively, a Lipschitz continuous function is limited in how fast it can change for every pair of points on the graph of this function, the absolute value of the slope of the line connecting them is no greater than a definite real number this bound is called the function s Lipschitz constant or modulus of continuity modulus of uniform continuity . In the theory of differential equation s, Lipschitz continuity is the central condition of the Picard Lindel f theorem which guarantees the existence and uniqueness of the solution to an initial value problem . A special type of Lipschitz continuity, called contraction mapping contraction , is used in the Banach fixed point theorem . The concept of Lipschitz continuity is well defined on metric space s. A generalization of Lipschitz continuity is called H lder continuity . Definitions Image Lipschitz continuity.png thumb For a Lipschitz continuous function, there is a double cone shown in white whose vertex can be translated along the graph, so that the graph always remains entirely outside the cone. Given two metric space s X , d sub X sub and Y , d sub Y sub , where d sub X sub denotes the metric mathematics metric on the set X and d sub Y sub is the metric on set Y for example, Y might be the set of real number s R with the metric d sub Y sub x , y x y , and X might be a subset of R , a function math displaystyle f X to Y math is called Lipschitz continuous if there exists a real constant K 0 such that, for all x sub 1 sub and x sub 2 sub in X , math d Y f x 1 , f x 2 le ... Citation last1 Robbin first1 Joel W. title Continuity and Uniform Continuity url http www.math.wisc.edu robbin 521dir cont.pdf ref as well as H lder continuity H lder continuous of class C sup 0, ... sub . See also Dini continuity Modulus of continuity References reflist Category Lipschitz maps Category ... more details
In electronics , a continuity test is the checking of an electric circuit to see if current electricity current flows that it is in fact a complete circuit . A continuity test is performed by placing a small voltage wired in series with an LED or noise producing component such as a Loudspeakers Piezoelectric speakers piezoelectric speaker across the chosen path. If electron flow is inhibited by broken conductors, damaged components, or excessive electrical resistance resistance , the circuit is open . Devices that can be used to perform continuity tests include multimeter s which measure current and specialized continuity tester s which are cheaper, more basic devices, generally with a simple light bulb that lights up when current flows. An important application is the continuity test of a bundle of wires so as to find the two ends belonging to a particular one of these wires there will be a negligible resistance between the right ends, and only between the right ends. External links http www.acmehowto.com howto homemaintenance electrical continuitytest.php acmehowto.com continuity test Category Hardware testing ... more details
IT Service Continuity is a specific form of business continuity planning . It is the process of assessing and managing risks associated with information technology IT departments. It involves the evaluation of values, threats, risk s, vulnerabilities and development of countermeasures to ensure continuation in the event of an IT services disruption. IT Service Continuity planning may make use of any combination of recovery and or restoration strategies including hot, warm, cold standby data centres or servers high availability services within the same or across multiple data centres services may be active active or active passive it may utilise a ship on demand, shared services or cloud services, or other approach. IT Service Continuity, in itself, does not prescribe or refer to any one strategy. This terminology is mainly used in Western countries. In 2008 the BSI Group British Standards Institution launched a specific standard connected and supporting the Business Continuity Standard BS 25999 titled BS25777 specifically to align ICT Service Continuity with Business Continuity. The BSI standard can be implemented separately from, or conjointly with, the ITIL methodology. Category Business continuity and disaster recovery Category Information technology management Category Technical terminology comp stub ... more details
Digital continuity is the ability to maintain the digital information of a creator in such a way that the information ... Digital Continuity year 1999 publisher Getty Publications isbn 0892365838 ref It focuses on making ... digital continuity include information management , Risk assessment Risk assessment in information ... conversion. Digital continuity management is particularly important to organisations that have a duty ... continuity title Achieving digital continuity date 4 June 2010 publisher State of New South Wales accessdate 18 December 2010 ref . Digital continuity is also an important issue for organisations ... in This Library? History of the Book and Digital Continuity journal Journal of Education for Library and Information Science volume 43 issue 3 pages 197 204 id hdl 10150 105488 ref Focus of digital continuity The focus of digital continuity differs from that of digital preservation and business continuity ... issues. Business continuity focuses on making sure that critical business functions will be available ... Continuity publisher Journal of Organizational Computing and Electronic Commerce url http dx.doi.org 10.1080.10919390701294012 accessdate 22 October 2011 ref Digital continuity is concerned ... usable will be different depending on each organization s needs. For the purposes of digital continuity ... title Understanding Digital Continuity publisher The National Archives accessdate 21 December 2010 ref ... it is about trust that it is what it says it is. Digital continuity projects The National Archives in the United Kingdom began a digital continuity project for public use in 2007. The project is based ... for action All employees in the organization need to be aware of the digital continuity project and have an understanding of what digital continuity means for the information they create. This step ... have the potential to deliver continuity. Step 2 Define your digital continuity requirements Ensure ... risks to digital continuity This step involves a digital continuity risk assessment which highlights ... more details
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