self ref for the splitting of Wikipedia articles Wikipedia SplittingSplitting may refer to Splitting psychology Lumpers and splitters , in classification or taxonomy Mathematics Heegard splittingSplitting field Splitting principle Splitting theorem Splitting lemma See also Split disambiguation Splitter disambiguation disambig de Splitting ... more details
No footnotes date April 2011 Mergeto Wood splitting date December 2011 Infobox tool name Splitting maul image Maul 1.jpg image size 200px caption Woodsplitting maul other name Wood maul br Wood mall Block Buster Typically used anywhere wood is chopped classification Hand tool types used with related Sledge hammer br Axe br War hammer A splitting maul also known as a block buster , block splitter or Godevil , is a heavy, long handled axe used for splitting a piece of wood along its grain. One side of its head is like a sledgehammer , and the other side is like an axe . Tools Wedged mauls A typical maul for wood splitting will have a head weighing in region of 4 kg 8 lbs . Traditionally, mauls have a Wedge mechanical device wedge shaped head, but some modern versions have cone geometry conical heads or swiveling sub wedges. The original maul resembles an axe but with a broader head. For splitting wood, this tool is much better than a typical axe. The weight of it is more advantageous ... Maul. Separate wedges Splitting may also be done with a separate wedge and a large hammer. As this allows ... of England the word maul denotes this tool with a very heavy wooden head. It is also known as a beetle ... cut section of log, usually standing on end atop a splitting stump or other suitable base. Most cut sections can be split in a single downward chop of the maul, splitting the wood apart along its ... one or two additional full lift chops. Another technique for splitting upright logs of thicker diameter ... axe dsc00844.jpg thumb Hydraulic splitting machine The hammer side of the maul is often used in wood splitting when combined with a splitting wedge, driving the wedge into the wood in the same ... a suitable splitting base is one of the most important components to splitting wood with a maul. Wood ... splitting the wood to bend over during the swing, which causes back fatigue. The best bases are a flush ... than that of the diameter of the wood placed atop it for splitting, and the base should be placed on firm ... more details
Wood splitting is an ancient technique used in carpentry for making sturdy wooden objects. Unlike sawmill wood sawing , the wood is split along the grain using tools such as hammer and Wedge mechanical device Splitting maul ... Advantages The advantages of splitting wood along its grain, rather than sawing it is that the wood is much stronger. Due to this, it was historically used for building ships ie viking ship drekars , traditional ski s, ref Happy People A year in the Taiga ref ... Mergefrom Splitting maul Wood splitting tools date December 2011 Mergefrom Splitting maul Wood splitting techniques date December 2011 References http home.online.no joeolavl viking norse shipbuilding.htm Wood splitting technique used in viking ship construction reflist Category Skills Category Occupations Category Woodworking ... more details
Paper splitting is a method of preserving brittle papers often found in library and archive archival materials. In this process the front and back of a sheet of paper are split apart. A piece of acid free paper is placed between these two sides of an acidic sheet before the pages are reconnected. The intention is to reduce the acid deterioration in the paper. A paper splitting machine has been developed, but is not in wide use. Further reading 1 A discussion of the Folger Shakespeare Library s use of paper slitting in conservation http www.folger.edu Content About Us Conservation Lab Treatment Examples Paper Splitting and the Trevelyon Manuscript.cfm 2 The Library of Congress on paper splitting http www.loc.gov preserv rt projects paper split.html DEFAULTSORT Paper Splitting Category Preservation library and archival science Category Conservation and restoration cs t pen pap ru de Papierspaltverfahren ... more details
Unreferenced date October 2006 Orphan date November 2009 Image Splitting Image 01 cover.jpg right thumb 250px Cover of the first issue Splitting Image is a 2 issues comic book limited series created in 1993 by Don Simpson and published by Image Comics . It, however, also means two split halves of the same tree which provide an exact likeness of each other. References http comicbookdb.com title.php?ID 3819 Splitting Image comicbookdb Category Image Comics titles Image Comics stub ... more details
Splitting Images may refer to List of Danny Phantom episodes Season 1 2004 2005 A Danny Phantom Episode Split Personalities computer game The 1980s video game disambig ... more details
Embryo splitting may refer to when spontaneous, the natural way in which identical twins are formed. when artificially induced, a method of cloning . See Cloning Methods disambig ... more details
For the physics concept Nuclear fission Infobox album See Wikipedia WikiProject Albums Name Splitting the Atom Type EP Artist Massive Attack Cover Massive Attack Splitting the Atom.jpg Released 4 October 2009 ref name 7digital cite web url http www.7digital.com artists massive attack splitting the atom title Massive Attack Splitting The Atom MP3 Downloads publisher 7digital accessdate 8 October 2009 ref Recorded Genre Electronica Length 22 24 Label Producer Last album Collected Massive Attack album Collected br 2006 This album Splitting the Atom br 2009 Next album Heligoland album Heligoland br 2010 Album ratings rev1 Pitchfork Media rev1score 4.4 10 ref http pitchfork.com reviews albums 13574 splitting the atom Pitchfork Media review ref Automatically generated by DASHBot Splitting the Atom is an Extended play EP by Massive Attack . It was released as a music download download on 4 October 2009, ref name 7digital and on vinyl limited to 1,000 copies worldwide on 19 October 2009. ref name VinylFactory cite web url http www.thevinylfactory.com shop index.php massive attack.html title Massive Attack Splitting the Atom publisher The Vinyl Factory date accessdate 26 October 2009 ref The EP contains four new songs, two of which are remixes and all of which contain guest vocalists. The title track features guest vocals by Horace Andy and keyboards by Damon Albarn and was premiered on BBC Radio 1 on 25 August 2009. ref http www.songfacts.com detail.php?id 18475 Splitting The Atom Songfacts ref The track is featured on the band s fifth album Heligoland album Heligoland . Bulletproof ... . Citation needed date November 2009 The Splitting the Atom track appears on the soundtrack of FIFA ... tracklist title1 Splitting the Atom note1 featuring Horace Andy length1 5 13 title2 Pray for Rain ... Splitting The Atom Category Massive Attack albums Category 2009 EPs pl Splitting the Atom ru Splitting the Atom uk Splitting the Atom simple Splitting the Atom ... more details
Infobox musical artist See Wikipedia WikiProject Musicians name Splitting Adam image splitting adam band.jpg caption Left to Right Thompson, Rob, Antonio, Jordo, Seren image size background group or band ... Splitting Adam is a Canadian Rock music contemporary rock ref TV Week clipping http www.splittingadam.com sa epk.htm Splitting Adam Retrieved on 22 December 2009 ref band from Vancouver consisting of five ... guitar and Jordo drums . In 2000, Splitting Adam licensed two songs to NBC ref Canoe.ca http clive.canoe.ca IndieBands band1862.html Indie Band Splitting Adam Retrieved on 22 December 2009 ref for use ... http www.youthink.ca yt music splitting adam shares their gift Splitting Adam Shares Their Gift 1 ... 2009 28 July 2009 ref Los Angeles Philharmonic , and San Diego Symphony Orchestra. Splitting Adam ... Package . The name Splitting Adam comes from the discussion surrounding human creation the theory of evolution splitting the atom versus a literal Genesis creation myth biblical interpretation Adam and Eve . Awards and nominations Image vgl kitchener.jpg thumb right 200px Splitting Adam Video ... garage to Grammys 21 December 2009 ref br 52nd Grammy Awards Package Best Recording Package Splitting ... Package http lovelypackage.com splitting adam Splitting Adam 14 August 2009 ref Lotus Award Gold ... book link4 Lotus Awards Annual 2009 p.15 Retrieved on 21 December 2009 ref Design Best Packaging Splitting ... ref The ELAN s http www.theelans.com 2009 vgls splitting adam will perform at the elan awards VGL s Splitting ... Listen filename Splitting Adam On My Own clip.ogg title On My Own Splitting Adam 2008 format Ogg ... by Jeff Dawson music producer Jeff Dawson 2009 Splitting Adam Produced by Joe Cruz and Jeff Dawson music producer Jeff Dawson ref Last.fm http www.last.fm music Splitting Adam wiki?ver 1 Splitting Adam ... from Canada References Reflist 2 External links http www.splittingadam.com Splitting Adam Official website http www.myspace.com splittingadam Splitting Adam at MySpace DEFAULTSORT Splitting Adam ... more details
nofootnotes date June 2011 Income splitting is the legal concept of fusing a marriage married couple into a single economic entity for purposes of tax filing status. In the United States , this filing status is called married filing jointly. For a married couple, if both members earn the same income they would have a higher income tax liability under income splitting because under progressive taxation the other spouse s income is added on top and is the extra income and thus all subject to the tax rates at the top. This is what is called the marriage penalty in United States American tax rhetoric ... tax rates under income splitting, the sole earner married couple has a lower tax liability than the sum ..., income splitting would penalize dual earners and benefit single breadwinning couples. On the other hand, eliminating the marriage penalty would entail ruling out the income splitting idea. These two ... choice. Income splitting is the default behaviour in countries which allow or require spouses ... that allows for an optimal income tax distribution including tax rebate shifts. Income splitting ... splitting since one half of the income of one spouse could be attributed to the other spouse. This led ... the passage of de jure income splitting. Joint filling by couples is not permitted in other ... splitting to reduce taxes in these jurisdictions. For those who own their own company, hiring family ... the tax burden to be reduced. Income splitting is currently a matter of debate in Canada . Joint ... income trust s, finance minister Jim Flaherty introduced income splitting for seniors in 2006. The primary advantage of income splitting is that it reflects that the household rather than the individual ... splitting is becoming less common globally, and, since 1970, it has been abolished in seven of the cotries ... splitting.html CBC.ca Income splitting Frequently Asked Questions http www2.sunlife.ca pfs2 pfs2 tpl ... Cut your household s tax bill using income splitting DEFAULTSORT Income Splitting ... more details
Image Splitting Storm.jpg thumb right 300px Evolution of a Splitting Thunderstorm, With the Left Moving Storm Visibly Weaker A splitting storm is a term used to describe a thunderstorm that splits into two separate storms with divergent paths. One storm is referred to as the left mover , and one is referred to as the right mover . The left mover is more likely to weaken and dissipate, but on rare occasions will intensify into a very severe and anticyclonic ally clockwise rotating supercell thunderstorm . The right moving storm has the highest potential of becoming a severe thunderstorm or a supercell. References General references http www.srh.noaa.gov oun severewx glossary4.php www.srh.noaa.gov Category Storm climate stub ... more details
Unreferenced date December 2009 In mathematics , and more specifically in homological algebra , the splitting lemma states that in any abelian category , the following statements for short exact sequence are Equivalence relation equivalent . Given a short exact sequence with maps q and r math 0 rightarrow A overset q longrightarrow B overset r longrightarrow C rightarrow 0 math one writes the additional arrows t and u for maps that may not exist math 0 rightarrow A q atop longrightarrow atop longleftarrow atop t B r atop longrightarrow atop longleftarrow atop u C rightarrow 0. math Then TFAE the following are equivalent 1. left split there exists a Morphism map t B A such that tq is the identity function identity on A , 2. right split there exists a map u C B such that ru is the identity on C , 3. direct sum B is isomorphic to the biproduct direct sum of A and C , with q being the natural injection of A and r being the natural projection onto C . The short exact sequence is called split if any of the above statements hold. The word map refers to morphisms in the abelian category we are working in, not mappings between sets. It allows one to refine the first isomorphism theorem the first isomorphism theorem states that in the above short exact sequence, math C cong B q A math if the sequence splits, then math B q A oplus u C cong A oplus C math , and the first isomorphism theorem is just the projection onto C . It is a categorical generalization of the rank nullity theorem in the form math V approx ker T oplus operatorname im ,T math in linear algebra . Proof First, to show that 3 ... . So B is again the direct sum of A and C . Non abelian groups In the form stated here, the splitting ... with the natural injection math C to A times C math gives an injection math C to B math splitting ... of the right splitting need not be normal. What is true in this case is that B is a semidirect ... map, not the identity. DEFAULTSORT Splitting Lemma Category Homological algebra Category ... more details
refimprove date May 2010 Vote splitting is an election electoral effect in which the distribution of votes ..., and increases the chance of winning for a dissimilar candidate. Vote splitting most easily occurs ... candidate A1 or A2. Runoff voting methods are less vulnerable to vote splitting compared to plurality voting. ref name fobes2006 Pairwise counting Condorcet method s minimize vote splitting effects. ref name fobes2006 A well known effect of vote splitting is the spoiler effect , in which a popular ... takes advantage of vote splitting to defeat a popular candidate by supporting another similar candidate. Vote splitting is one possible cause for an electoral system failing the independence of clones or independence of irrelevant alternatives fairness criteria. Vote splitting and electoral systems Different electoral system s have different levels of vulnerability to vote splitting. Vote splitting ... the vote splitting effect compared to plurality voting, but vote splitting still occurs because the full preferences of voters are not collected. Runoff voting is less vulnerable to vote splitting, yet vote splitting can occur in any round of runoff voting. Although instant runoff voting IRV uses ... as in multiple rounds of voting, so this method does not reduce the vote splitting effect compared to runoff voting . Vote splitting rarely occurs when the chosen electoral system uses preferential voting ... Vote splitting rarely occurs when using pairwise counting methods because they do not involve ... by step distribution of votes that facilitates vote splitting in other voting methods. When preferential ... to vote splitting. Vote splitting also can occur in situations that do not involve strategic ... the current contestants. In the United States vote splitting commonly occurs in primary elections ... Elections explains why plurality and runoff voting methods are vulnerable to vote splitting. ref The purpose of primary elections is to eliminate vote splitting among candidates in the same party. If primary ... more details
Infobox album See Wikipedia WikiProject Albums Name Splitting Headache Type Studio Artist Down to Nothing Cover Splitting Headache.jpg Alt Released July 12, 2005 Recorded Genre Hardcore Punk ref name All Music cite web url Allmusic class album id r784646 pure url yes title Allmusic accessdate 2009 11 02 ref Length Label Thorp Records Producer Last album Save It for the Birds br 2003 This album Splitting Headache br 2005 Next album The Most album The Most br 2007 Album ratings rev1 Allmusic rev1score Rating 4 5 ref Mason, Stewart. Allmusic class album id r784646 pure url yes Splitting Headache Review . Allmusic.com. ref Automatically generated by DASHBot Splitting Headache is the second album by straight edge hardcore punk band Down to Nothing . Track listing Go Ahead Wit Yo Fake Ass 0 52 Us V. Eachother 1 49 I Can t Believe My Eyes 2 29 Smash It 0 54 Burn III 1 55 Unbreakable 2 22 Home Sweet Home 1 39 We re on the Run 1 54 Risk It 0 56 Skate & Annoy, Vol. 2.0 Skate or Die 0 11 I m So Lucky 1 48 References Reflist Category 2005 albums Category Down to Nothing albums 2000s punk rock album stub ... more details
Fee splitting is the practice of sharing fees with professional colleagues, such as physicians or lawyers, in return for being sent referrals http www.answers.com topic fee splitting . Fee splitting in medicine and healthcare This is essentially the payment of a commission to the referrer with the express intention of ensuring that the referring doctor directs referrals of patients to the payee. In most parts of the world, the practice is considered unethical and unacceptable, hence fee splitting is often covert. The reason it is believed not to be in the interests of patients is because it represents a conflict of interest which may adversely affect patient care and well being, since patients will not necessarily be referred to the most appropriate doctor to provide their on going care but will instead be referred to those doctors or hospitals with whom the referring doctor has a fee splitting or commission payment type of arrangement. Fee splitting in the USA The situation in the USA is not entirely clear. http www.time.com time magazine article 0,9171,771534 2,00.html According to the World Medical Association http www.wma.net e meetings leaders1.htm , The AMA Code provides that payment ... which compensate physicians for referral of patients are engaged in fee splitting, which is unethical ... Newsletter 1997 lists Offering, giving or receiving a fee for the referral of a patient fee splitting ... Physicians Conflicts of Interest by Marc A. Rodwin, forms of fee splitting and commission ... have no published view on the issue of fee splitting, and in fact the Joint Commission stopped trying ... operate to a similar level of standards when working outside of the USA. Fee splitting in the United Kingdom Fee splitting and similar practices are considered unequivocally unacceptable for the medical ... and dis jan 1970.pdf This is not to say that it does not happen. Fee splitting in other countries Fee splitting in the medical profession of various sorts has been alleged in Malta , http www.maltatoday.com.mt ... more details
In the mathematics mathematical field of geometric topology , a Heegaard splitting is a decomposition ... a Heegaard splitting , and their common boundary H is called the Heegaard surface of the splitting ... if it is does not bound a disc on the surface. A Heegaard splitting is reducible if there is an essential simple closed curve math alpha math on H which bounds a disk in both V and in W . A splitting is irreducible if it is not reducible. It follows from Heegaard splitting Theorems Haken s Lemma that in a irreducible manifold reducible manifold every splitting is reducible. A Heegaard splitting ... beta math intersect exactly once. It follows from Heegaard splitting Theorems Waldhausen s Theorem that every reducible splitting of an irreducible manifold is stabilized. A Heegaard splitting ... math on H where math alpha math bounds a disk in V and math beta math bounds a disk in W . A splitting is strongly irreducible if it is not weakly reducible. A Heegaard splitting is minimal or minimal genus if there is no other splitting of the ambient three manifold of lower genus . The minimal value g of the splitting surface is the Heegaard genus of M . Generalized Heegaard splittings A generalized Heegaard splitting of M is a decomposition into compression body compression bodies math V ... i sub and W sub i sub is allowed to have more than one component. A generalized Heegaard splitting ... Heegaard splitting is the multi set c S i , where the index runs over the Heegaard surfaces in the generalized splitting. These multi sets can be well ordered by lexicographical ordering monotonically decreasing . A generalized Heegaard splitting is thin if its complexity is minimal. Examples Three ... zero splitting of math S 3 math . Conversely, by Alexander s Trick , all manifolds admitting a genus zero splitting are homeomorphic to math S 3 math . Under the usual identification of math mathbb ... T 2 math . This is the standard genus one splitting of math S 3 math . See also the discussion at Hopf ... more details
Muhammad The splitting of the moon lang ar was a miracle attributed to Muhammad in Islam ic tradition. ref Muhammad. Encyclop dia Britannica . 2007. Encyclop dia Britannica Online, p.13 ref Qur an had described splitting of the moon 1400 years ago Sura Al Qamar, verse 1 3 The HOUR of Judgment is nigh and the moon did split. And if they see a sign they turn away, and say This is transient magic. 17 Sura Al Qamar Qur an verse in Arabic The incident is mentioned in Muslim traditions as the Asbab al nuzul context of revelation asb b an nuz l for the Qur an ic sura verse cite quran 54 1 2 style nosup expand no where some Muslim commentators accept the historicity of the miracle and some reject it. Citation needed date August 2011 . Early traditions supporting a literal interpretation are transmitted on the authority of companions of Muhammad such as Ibn Abbas , Anas bin Malik , Abdullah bin Masud and others. ref name kathir ref According to Muhammad ibn Jarir al Tabari al Tabari , all the expositors ahl al ta wil agree on essentially this same account ... Al Zamakhshari , a famous commentator of the Qur an, acknowledged the splitting of the moon as one of Muhammad s miracles. But he also suggested that the splitting might take place only on the Islamic ... to the splitting of the moon at the Islamic view of the Last Judgment day of judgment . ref name ..., the word Saa at also means spiritual revolution, so the event also symbolized the end of the Pagan ... in two. ref name Annemarie Schimmel The Islamic scholar Al Ghazali wrote the following about the splitting of the moon As for the splitting of the moon, it was a nighttime sign that occurred while ... to two miracles attributed to Muhammad in tradition, i.e. the splitting of the moon which shows ... , for the miracle of splitting the Sea, retold in the Qur an Muhammad before Medina Cheraman Perumal ... more details
Splitting also called all or nothing thinking in cognitive distortion may mean two things splitting of the mind, and splitting of mental concepts or black and white thinking . The latter is thinking purely ... . In psychoanalysis , there are the concepts of splitting of the self as well as splitting of the Id ... concept . Relationships Splitting creates instability in relationships, because one person can be viewed ... by these oscillations, because the therapist too can become the target of splitting. To overcome ... Gould, J.R., Prentice, N.M. & Ainslie, R. C. 1996 . The splitting index construction of a scale measuring the defense mechanism of splitting. Journal of personality assessment, 66 2 , 414 430 ref Splitting ... disorder , Camouflaged Aggression , that t hrough this splitting mechanism, the narcissist can ... regulation that have been helpful for individuals who struggle with the consequences of splitting. ref ... which dominates the good representation . ref Siegel, J.P. 2006 . Dyadic splitting in partner relational ... People matching the diagnostic criteria for narcissistic personality disorder also use splitting as a central .... Given the narcissist s perverse sense of entitlement and splitting. . . s he can be equally geared ... The cognitive habit of splitting also implies the use of other related defense mechanisms, namely ... injury . ref Siegel, J.P. 2006 . Dyadic splitting in partner relational disorders. Journal of Family Psychology, 20 3 , 418 422 ref Janet and Freud Main Pierre Janet Sigmund Freud Splitting ... and I followed his example when we took splitting of the mind and dissociation of the personality as the centre ... ref However he also differentiated between our view and Janet s. We do not derive the psychical splitting ... repression repression , splitting moved to the background of Freud s thought for some years, being largely reserved for cases of double personality The cases described as splitting of consciousness ... paper of 1938, Splitting of the Ego in the Process of Defence , took up the same theme, and in his ... more details
Quadrupole splitting is an example of a hyperfine structure hyperfine interaction found in gamma ray spectroscopy , in the circumstance where nuclei with a non radially symmetric shape that is, with a spin quantum number greater than 1 2 are found immersed in an external electric field gradient. It splits a state into two, producing a doublet in the M ssbauer spectroscopy Mossbauer spectrum , and the separation between the states can be used to measure the sign and strength of this electric field gradient, which is affected by the chemical environment of the nuclei. ref http www.cmp.liv.ac.uk frink thesis thesis node18.html Electric quadrupole splitting ref References references Category Atomic physics ... more details
In mathematics, a Frobenius splitting , introduced by harvs txt author1 link Vikram Bhagvandas Mehta last Mehta last2 Ramanthan author2 link Annamalai Ramanathan year 1985 , is a splitting of the injective morphism O sub X sub F sub sub O sub X sub from a structure sheaf O sub X sub of a characteristic p 0 variety X to its image F sub sub O sub X sub under the Frobenius endomorphism F sub sub . The concept is named after Ferdinand Georg Frobenius . harvtxt Brion Kumar 2005 give a detailed discussion of Frobenius splittings. A fundamental property of Frobenius split projective scheme s X is that the higher cohomology H sup i sup X , L i 0 of ample line bundle s L vanishes. References Citation last1 Brion first1 Michel last2 Kumar first2 Shrawan title Frobenius splitting methods in geometry and representation theory publisher Birkh user Boston location Boston, MA series Progress in Mathematics isbn 978 0 8176 4191 7 doi 10.1007 b137486 mr 2107324 year 2005 volume 231 Citation last1 Mehta first1 V. B. last2 Ramanathan first2 A. title Frobenius splitting and cohomology vanishing for Schubert varieties doi 10.2307 1971368 mr 799251 year 1985 journal Annals of Mathematics Annals of Mathematics. Second Series issn 0003 486X volume 122 issue 1 pages 27 40 External links http sites.google.com site frobeniussplitting Conference on Frobenius splitting in algebraic geometry, commutative algebra, and representation theory at Michigan, 2010. Category Algebraic geometry ... more details
splitting refers to the practice of modifying a Tablet pharmacy tablet , capsule pharmacy capsule ... of Dosage Units , United States Pharmacopeial Convention, 20 April 2007 ref A 2002 study of pill splitting ... 120081,1 doi 10.1331 108658002763508498 ref Cost savings Pill splitting can ... or nearly the same price as a 5 mg tablet. Splitting a 10 mg tablet allows the patient ... for pill splitting br As listed in 2002 Stanford study width 40 Medication width 60 Drug class ... States in which he evaluates pill splitting for potential cost savings and clinical appropriateness ... cite journal author Stafford RS, Radley DC title The potential of pill splitting to achieve cost ... splitting with many splitting into multiple pieces. Hydrodiuril and Oretic crumbled. Lipitor did ... of pill splitting catches on journal Manag Care volume 12 issue 2 pages 36 8 year 2003 month February ... cite journal author Cohen JS title Tablet splitting imperfect perhaps, but better than excessive dosing ..., pill splitting is an effective way to cut out of pocket prescription costs, yet there are many risks to pill splitting so it is suggested to consult a physician first. Physicians should ..., and referrals to assistance programs, pill or tablet splitting provides an effective way of reducing ... on the grounds that Kaiser s mandatory pill splitting policy endangers patients health solely ... v. Kaiser Permanente pill splitting Dec. 6, 2000 Bot generated title ref ref http www.tlpj.org briefs timmis kaiser.htm TLPJ Briefs Timmis v. Kaiser Permanente pill splitting April 22, 2001 Bot generated ... The emergency physician Charles Phillips, MD who originally spotted the massive pill splitting within ... organizations to either stop pill splitting due to greatly uneven weights or force proper informed consent for patients. Dr. Phillips believes that pill splitting is unsafe in all diseases, as the fragments ... Who date May 2011 get tired of splitting and take the double dose every other day which is very dangerous ... more details
In mathematics , binary splitting is a technique for speeding up numerical evaluation of many types of series mathematics series with rational terms. In particular, it can be used to evaluate hypergeometric series at rational points. Given a series math S a,b sum n a b frac p n q n math where p sub n sub and q sub n sub are integers, the goal of binary splitting is to compute integers P a , b and Q a , b such that math S a,b frac P a,b Q a,b . math The splitting consists of setting m a b 2 and recursively computing P a , b and Q a , b from P a , m , P m , b , Q a , m , and Q m , b . When a and b are sufficiently close, P a , b and Q a , b can be computed directly from p sub a sub ...p sub b sub and q sub a sub ...q sub b sub . Binary splitting requires more memory than direct term by term summation, but is asymptotically faster since the sizes of all occurring subproducts are reduced. Additionally, whereas the most naive evaluation scheme for a rational series uses a full precision division for each term in the series, binary splitting requires only one final division at the target precision this is not only faster, but conveniently eliminates rounding errors. To take full advantage of the scheme, fast multiplication algorithms such as Toom Cook multiplication Toom Cook and Sch nhage Strassen algorithm Sch nhage Strassen must be used with ordinary O n sup 2 sup multiplication, binary splitting may render no speedup at all or be slower. Since all subdivisions of the series can be computed independently of each other, binary splitting lends well to parallelization and checkpointing . In a less specific sense, binary splitting may also refer to any divide and conquer algorithm that always divides the problem in two halves. References Xavier Gourdon & Pascal Sebah. http numbers.computation.free.fr Constants Algorithms splitting.html Binary splitting method David V. Chudnovsky & Gregory V. Chudnovsky. Computer algebra in the service of mathematical physics and number ... more details
The splitting theorem is a classical theorem in Riemannian geometry . It states that if a complete Riemannian manifold M with Ricci curvature math rm Ric M ge 0 math has a straight line, i.e., a geodesic &gamma such that math d gamma u , gamma v u v math for all math u, v in mathbb R , math then it is isometric to a product space math mathbb R times L, math where math L math is a Riemannian manifold with math rm Ric L ge 0. math The theorem was proved by Jeff Cheeger and Detlef Gromoll , based on an earlier result of Victor Andreevich Toponogov , which required non negative sectional curvature . References Jeff Cheeger Detlef Gromoll, The splitting theorem for manifolds of nonnegative Ricci curvature , Journal of Differential Geometry 6 1971 72 , 119&ndash 128. MathSciNet id 0303460 V. A. Toponogov, Riemann spaces with curvature bounded below Russian , Uspehi Mat. Nauk 14 1959 , no. 1 85 , 87&ndash 130. MathSciNet id 0103510 Category Theorems in Riemannian geometry ... more details
For animals with natural splitting Forked tongue globalize USA date December 2010 Image Tongue split.jpg thumb A woman s split tongue Tongue bifurcation , splitting or forking , is a type of body modification in which the tongue is cut centrally from its tip to as far back as the underside base, forking the end. In the late 1990s tongue splitting was almost unheard of, but is now considered a common alteration among body modification enthusiasts. Process There are several methods used to split tongues cutting with a scalpel, cauterizing and tying off. It is performed by oral surgeons, plastic surgeons, body modification practitioners or done oneself, but only oral and plastic surgeons are licensed. Before splitting with any method, some choose to have a well healed tongue piercing where the back end of the split is intended to be. This ideally prevents the tongue from healing forward from the back of the cut, which would result in a split that is not as deep as desired. When using the scalpel method, the tongue is cut down the middle with a scalpel and each half is stitched or sutured along the cut edge. This helps prevent the sides from healing back to each other and also achieves ... www.ishiboo.com danny Mods tonguesplit A Tongue Splitting Experience ref The tongue generally heals ... habits. Splitting is reversible but the reversal is even more painful than the tongue splitting procedure .... ref http www.ethicsdaily.com news.php?viewStory 2625 Ethics Daily Tongue SplittingSplitting ... of tongue splitting will vary greatly depending on the country and within those countries, individual ... military image and explicitly include tongue splitting or forking as examples. ref http www.loc.gov ... Summer 2005 ref Illinois was the first state in the U.S. to make tongue splitting illegal in 2003. Since ... US and State Codes Search ref In 2009, the Australian state of Victoria enacted a ban on splitting ... reflist DEFAULTSORT Tongue Splitting Category Body modification Category Tongue bg ... more details
In mathematics , the splitting principle is a technique used to reduce questions about vector bundle s to the case of line bundle s. In the theory of vector bundles, one often wishes to simplify computations, say of Chern classes . Often computations are well understood for line bundles and for direct sums of line bundles. In this case the splitting principle can be quite useful. Theorem Splitting Principle Let math xi colon E rightarrow X math be a vector bundle of rank math n math over a manifold math X math . There exists a space math Y Fl E math , called the flag bundle associated to math E math , and a map math p colon Y rightarrow X math such that the induced cohomology homomorphism math p colon H X rightarrow H Y math is injective, and the pullback bundle math p xi colon p E rightarrow Y math breaks up as a direct sum of line bundles math p E L 1 oplus L 2 oplus cdots oplus L n. math The line bundles math L i math or their first characteristic class are called Chern roots. The fact that math p colon H X rightarrow H Y math is injective means that any equation which holds in math H Y math say between various Chern classes also holds in math H X math . The point is that these equations are easier to understand for direct sums of line bundles than for arbitrary vector bundles, so equations should be understood in math Y math and then pushed down to math X math . Symmetric polynomial Under the splitting principle, characteristic classes correspond to symmetric polynomials and for the Euler class , alternating polynomials in the class of line bundles. The Chern class es and Pontryagin class es correspond to symmetric polynomials they are symmetric polynomials in the corresponding classes of line bundles math p k math is the k th symmetric polynomial in the math p 1 math of the line bundles, and so forth . The Euler class is an invariant of an oriented vector bundle, and thus ... . See also K theory Grothendieck splitting principle for holomorphic vector bundles on the complex ... more details
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