In mathematics , an element or member of a Set mathematics set is any one of the distinct objects that make up that set. Sets Writing A 1, 2, 3, 4 ,means that the elements of the set A are the numbers 1, 2, 3 and 4. Sets of elements of A , for example 1, 2 , are subset s of A . Sets can themselves be elements. For example consider the set B 1, 2, 3, 4 nowiki nowiki . The elements of B are not 1, 2, 3, and 4. Rather, there are only three elements of B , namely the numbers 1 and 2, and the set 3, 4 . The elements of a set can be anything. For example, C red, green, blue , is the set whose elements are the colors red, green and blue. Notation and terminology The Relation mathematics relation is an element of , also called set membership , is denoted by . Writing math x in A , math means that x is an element of A . Equivalent expressions are x is a member of A , x belongs to A , math x math is in A and x lies in A . The expressions A includes x and A contains x are also used to mean set membership, however some authors use them to mean instead ... and Its Foundations publisher Academic Press year 1997 isbn 0 12 622760 8 p. 12 ref Logician George ... 2, 4, 8, 10, 12 is finite and equal to 5. The cardinality of P ... , membership or element hood, the axiom of extension, the axiom of separation, and the union axiom Suppes calls it the sum axiom are needed for a more thorough understanding of set element . refend Category Basic concepts in set theory be be x old cs Prvek mno iny de Element Mathematik et Element matemaatika es Elemento de un conjunto fr l ment math matiques ko it Elemento ... nl Element wiskunde ja pt Elemento matem tica ru sl Element matematika ckb fi Alkio joukko oppi sv Element m ngdteori ta th ... more details
In mathematics , a volume element provides a means for Integral integrating a function mathematics function ... coordinates . Thus a volume element is an expression of the form math dV rho u 1,u 2,u 3 ,du 1 ... 1 2 sin u 2 math . The notion of a volume element is not limited to three dimensions in two dimensions it is often known as the area element, and in this setting it is useful for doing surface integral s. Under changes of coordinates, the volume element changes by the absolute value of the Jacobian ... , a volume element typically arises from a volume form a top degree differential form . On a non orientable manifold, the volume element is typically the absolute value of a locally defined volume form it defines a density on a manifold 1 density . Special cases Volume element of a linear subspace ... of linearly independent vectors math X 1, dots,X k. math To find the volume element of the subspace ... X i math math sqrt det X i cdot X j i,j 1 dots k . math Any point p in the subspace can be given coordinates math u 1,u 2, dots,u k math such that math p u 1X 1 cdots u kX k. math At a point p , if we ... defines the volume form in the linear subspace. Volume element of a surface A simple example of a volume element can be explored by considering a two dimensional surface embedded in n dimensional Euclidean ... is just area, and a volume element gives a way to determine the area of parts of the surface. Thus a volume element is an expression of the form math f u 1,u 2 ,du 1 ,du 2 math that allows one to compute ... B int B f u 1,u 2 ,du 1 ,du 2. math Here we will find the volume element on the surface that defines ... now be straightforward to understand how the volume element is invariant under an orientation ... Thus, in either coordinate system, the volume element takes the same expression the expression of the volume element is invariant under a change of coordinates. Note that there was nothing particular ... , math and the volume element is math omega sqrt det g du 1 du 2 r 2 sin u 2 , du 1 du 2. math See ... more details
Element 6 can refer to Carbon element with atomic number 6 Element Six formerly De Beers Industrial Diamond a company specialised in providing superhard material solutions such as synthetic diamond, cubic boron nitride for industrial applications disambig ... more details
Element 0 may refer to Neutronium , sometimes referred to as an element with atomic number 0 Element Zero, or eezo, the primary power source used in the video game series Mass Effect series Mass Effect . disambig ... more details
element. ref name Dume2003 ref name Marcillac2003 cite journal last de Marcillac first P coauthors ... elements A chemical element is a pure chemical substance consisting of one type of atom distinguished ... of elements include carbon , oxygen , aluminium , iron , copper , gold , mercury element mercury ... Synthesis of a New Element with Atomic Number Z 117 author Yu. Ts. Oganessian publisher Physical ... page most abundant element by mass making up the Earth, and oxygen is the most common element in the Earth ... amount of natural nuclear transmutation transformation of one element to another also occurs in the present ... common of such native element minerals native elements are copper , silver , gold , carbon as coal , graphite , or diamonds , sulfur , and mercury element mercury . All but a few of the most inert elements ... on Earth only as compounds, and in the remaining third, often the compound forms of the element are most ... compounds or mixtures, almost every element has at least one important human use. Save for short ... , while a few quite common ones aluminium and titanium are not used. Most organisms share element ... except technetium , element 43 and promethium , element 61, which are unstable but theoretically ... naturally occurring element. ref name Dume2003 cite news title Bismuth breaks half life record for alpha ... name Marcillac2003 cite journal last de Marcillac first P coauthors Coron N, Dambier G, Leblanc J, and Moalic J P year 2003 title Experimental detection of alpha particles from the radioactive decay ... and have to be synthetic element synthesized . As of 2010, there are 118 known elements in this context ... from any other element . ref cite web last Sanderson first K date 17 October 2006 title Heaviest element made again url http www.nature.com news 2006 061016 full 061016 4.html publisher Nature journal Nature News doi 10.1038 news061016 4 ref ref name Schewe cite web last Schewe first P last2 ... non naturally occurring element to be synthesized, in 1937, although trace amounts of technetium ... more details
A Virasoro element is a distinguished element of one of several related mathematical strutures Virasoro algebra Super Virasoro algebra Vertex operator algebra Vertex operator superalgebra mathdab ... more details
element is the n cycle math 1,2,3, dots, n math . ref Harv Humphreys 1992 loc http books.google.com books?id ODfjmOeNLMUC&pg PA75&dq 22coxeter element 22 p. 75 ref The dihedral group Dih sub m ...distinguish Longest element of a Coxeter group In mathematics , the Coxeter number h is the order group theory order of a Coxeter element of an irreducible Coxeter group , hence also of a root system or its Weyl group . It is named after H.S.M. Coxeter . ref Citation title The Coxeter Legacy Reflections and Projections last Coxeter first Harold Scott Macdonald authorlink coauthors Chandler Davis, Erlich W. Ellers year 2006 publisher AMS Bookstore location isbn 0821837222, 9780821837221 page 112 url http books.google.com ?id cKpBGcqpspIC&pg PA107&dq 22Coxeter number 22 22Donald Coxeter 22 postscript ... different ways to define the Coxeter number h of an irreducible root system. A Coxeter element ... element note that conjugate elements have the same order. If the highest root is m sub i ..., 6, 10 H sub 4 sub CDD node 5 node 3 node 3 node 30 2, 12, 20, 30 I sub 2 sub p CDD node p node p 2, p The invariants of the Coxeter group acting on polynomials form a polynomial algebra whose generators ... of a Coxeter element are the numbers e sup 2 i m &minus 1 h sup as m runs through the degrees ... root system onto Coxeter plane, showing 30 fold symmetry. For a given Coxeter element w, there is a unique plane P on which w acts by rotation by 2 h. This is called the Coxeter plane and is the plane on which P has eigenvalues e sup 2 i h sup and e sup &minus 2 i h sup e sup 2 i h ... 1948 , ref name readp2 Harv Reading 2010 loc p. 2 ref and subsequently used in Harv Steinberg 1959 ... element not fixing any root or rather axis not having eigenvalue 1 or &minus 1 , so the projections ... 3 sub . gallery See also Longest element of a Coxeter group Notes reflist References refbegin Citation ... Coxeterjev element ... more details
Orphan date April 2012 The initiator element Inr , sometimes also called initiator motif , is a core promoter that is similar in function to the Pribnow box for prokaryotes or the TATA box for eukaryotes . It has the consensus sequence YYANWYY. efn In nucleic acid notation for DNA, Y p Y rimidine stands for C T cytosine or thymine , which are both pyrimidine s , and W W eak stands for A T adenine or thymine, which both form only two hydrogen bond s ref name Xi cite journal quotes last Xi first Hualin authorlink coauthors Yong Yu, Yutao Fu, Jonathan Foley, Anason Halees, and Zhiping Weng date June 2007 year 2007 title Analysis of overrepresented motifs in human core promoters reveals dual regulatory roles of YY1 journal Genome Research volume 17 issue 6 pages 798 806 pmid 17567998 doi 10.1101 gr.5754707 id url format accessdate laysummary laysource laydate quote pmc 1891339 ref Similarly to the TATA box, the Inr element facilitates the binding of transcription Factor II D TATA binding protein TBP . ref name Xi Notes notelist References reflist Transcription Category DNA Category Regulatory sequences ar es Motivo iniciador ... more details
In probability theory , random element is a generalization of the concept of random variable to more complicated spaces than the simple real line. The concept was introduced by harvs first Maurice last Fr chet authorlink Maurice Fr chet year 1948 txt yes who commented that the development of probability theory and expansion of area of its applications have led to necessity to pass from schemes where random outcomes of experience can be described by number or a finite set of numbers, to schemes where outcomes of experience represent, for example, random vector vectors , function mathematics function s, processes, field mathematics field s, series mathematics series , Transformation geometry transformations , and also Set mathematics sets or collections of sets. The modern day usage of random element frequently assumes the space of values is a topological vector space , often a Banach space Banach or Hilbert space with a specified natural sigma algebra of subsets. Definition Let ,&thinsp ,&thinsp P be a probability space , and E ,&thinsp a measurable space . A random element with values in E is a function nowrap X &thinsp E which is ,&thinsp measurable function measurable . That is, a function X such that for any B &thinsp &thinsp the preimage of B lies in nowrap &thinsp X &thinsp &thinsp B &thinsp &thinsp . Sometimes random elements with values in math E math are called math E math valued random variables. Note if math E, mathcal E mathbb R , mathcal B mathbb R math , where math mathbb R math are the real numbers, and math mathcal B mathbb R math is its Borel algebra , then the definition of random element is the classical definition of random variable . The definition of a random element math X math with values in a Banach space math B math is typically ... Omega rightarrow B math , from a probability space, is a random element if math f circ X math is a random ... de Banach These . Paris. Prokhorov Yu.V. 1999 Random element. Probability and Mathematical statistics ... more details
Response elements are short sequences of DNA within a gene promoter region that are able to bind a specific transcription factor and regulate Transcription genetics transcription of gene s. Examples Examples of response elements include Hormone response element cAMP response element External links MeshName response element Category DNA Biochemistry stub Transcription ... more details
Basic Element may refer to Basic Element company Basic Element music group 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. disambiguation ... more details
Unreferenced stub auto yes date December 2009 Orphan date December 2009 An octatomic element is a chemical element that, under standard conditions for temperature and pressure is stable, when in a configuration of eight atoms grouped together. The canonical example is sulfur , S sub 8 sub , but octaoxygen is also known. See also Diatomic element DEFAULTSORT Octatomic Element Category Molecules Chem stub ... more details
Surface element may refer to Volume form Surfel in 3D computer graphics Differential infinitesimal , an infinitesimal portion of a surface disamb ... more details
level worldwide ref name worldwide http investor.keynote.com phoenix.zhtml?c 78522&p irol newsArticle&ID 1124891&highlight KeyNote Systems Keynote Systems Completes Assessment of Digital Element s IP Intelligence Technology , April 2, 2008 ref . Digital Element utilizes Intelligent Trace Agents ... brings digital element board localised ad task Brand Republic, Thetrainline brings Digital Element ... Digital Element website http www.digitalelement.com Competitors IP2Location http www.ip2location.com ... more details
2005 . class wikitable style font size 95 white space nowrap Element Nuclide Z proton p ...Distinguish2 the 26 monoisotopic element s defined as having only one stable nuclide Image venn diagram AB.svg thumb Set A is the 26 monoisotopic elements and B the 22 mononuclidic elements. The intersection consists of 19 elements that are both, but each set contains elements that are of one sort but not the other. There are 7 monoisotopics that are not mononuclidic, and there are 3 mononuclidics that are not monoisotopic. A mononuclidic element is one of the 22 chemical element s that is found naturally on Earth essentially as a single nuclide which may, or may not, be a stable nuclide . This single nuclide will have a characteristic atomic mass . Thus, the element s Natural abundance natural isotopic abundance is dominated either by one stable isotope or by one very long lived isotope. There are 19 elements in the first category which are both monoisotopic and mononuclidic , and 3 bismuth , ref Until 2003, sup 209 sup Bi was thought to be in the first category. It was then found to have a half life of 10 sup 19 sup years about a billion times the age of the universe. See Bismuth Notable characteristics Bismuth ref thorium and protactinium in the second category mononuclidic but not monoisotopic, since they have zero, not one, stable nuclides . A list of the 22 mononuclidic elements is given at the end of this article. Of the 26 monoisotopic element s that, by definition, have only one stable isotope, there exist 7 26 minus 19 7 which are nevertheless not considered mononuclidic ... 26.981 538 2 phosphorus align center Phosphorus 31 sup 31 sup P align center 15 align center 16 30.973 ... 140 231.035 88 2 radioactive See also Primordial element Primordial nuclide List of nuclides Table of nuclides sorted by half life Table of nuclides Isotope geochemistry Radionuclide Monoisotopic element ... Reflist DEFAULTSORT Mononuclidic Element Category Isotopes Category Chemical element groups ... more details
element s, via nuclear reactor s or particle accelerator s. The half lives of these elements show ... named, use IUPAC s systematic element name s. The naming of transuranic elements may be a source of element naming controversy controversy . Discovery and naming of transuranium elements So far ... element s 1955 . 102. nobelium , No, named after Alfred Nobel 1956 . 103. lawrencium , Lr, named after ... Union , led principally by G. N. Flerov. 105. dubnium , Db, an element that is named after the city ... above are generic names assigned according to a convention the systematic element name s . They will be replaced ... 101 mendelevium Md 102 nobelium No 103 lawrencium Lr col break Transactinide element s 104 rutherfordium ... Uup 116 ununhexium Uuh 117 ununseptium Uus 118 ununoctium Uuo col break Period 8 element s none yet ... of the transactinide element s in the periodic table. Super heavy atoms , super heavy elements ... transuranium elements. The transactinide element s are beginning with rutherfordium atomic number 104 ... 2002 last1 Heenen first1 P. H. last2 Nazarewicz first2 W. journal Europhysics News volume 33 pages ... DEFAULTSORT Transuranium Element Category Nuclear physics Category Chemical element groups bn ca Element transur nic cs Transurany de Transurane el es Elementos ... Element trans uranich hu Transzur n elemek nl Transuraan element ja no Transuran nds Transuran ... Transuraner th tr Uranyum tesi element uk vi Nguy n t si u ... more details
Unreferenced stub auto yes date December 2009 In an electric electrical network circuit , a linear element is an electrical element with a linear relationship between input electricity current and output voltage . Resistor s are the most common example of a linear element other examples include capacitor s, inductor s, and transformer s. Fundamentally nonlinear devices like transistors are often used to build approximately linear circuits. For example, an Operational amplifier op amp is designed to behave like a linear amplifier, as long as its input voltages remain within certain limits. See also Nonlinear element DEFAULTSORT Linear Element Category Electronics terms Electronics stub zh ... more details
Element 80 may refer to Mercury element , atomic number of 80 Element Eighty , rock band from Texas 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
Unreferenced stub date December 2009 In signal theory , a signal element is a part of a Signalling telecommunication signal that is distinguished by its Time duration , magnitude mathematics magnitude , nature the modulation technique used to create the element , relative position to other elements, transition from one signal state to another. The rate at which signal elements are sent is called the symbol rate and is measured in baud . DEFAULTSORT Signal Element Category Data transmission Telecomm stub ... more details
unreferenced date April 2011 In chemistry , a free element is a chemical element that is uncombined with other elements. When using oxidation numbers all atoms of free elements have an oxidation number of 0. For example, in a Nitrogen molecule N2 each nitrogen atom has an oxidation number of 0. The same applies for Hydrogen H2 and all other chemical elements which are not bonded with another element. Category Chemistry chem stub ... more details
In mathematics , especially functional analysis , a self adjoint or hermitian element math A math of a C algebra math mathcal A math is called positive if its spectrum of an operator spectrum math sigma A math consists of non negative real numbers. Moreover, an element math A math of a C algebra math mathcal A math is positive if and only if there is some math B math in math mathcal A math such that math A B B math . A positive element is self adjoint and thus normal element normal . If math T math is a bounded operator bounded linear operator on a Hilbert space math H math , then this notion coincides with the condition that math T math is self adjoint and No need to demand this explicitly, self adjointness follows automatically math langle Tx,x rangle math is non negative for every vector math x math in math H math . Is boundedness needed here? Yes, boundedness is equivalent to continuity Doesn t positivity imply continuity? No, there are non positive linear operators, see below . You mean, there are unbounded positive linear operators. Anyway, in the first place positivity is defined ... linear operator math P math on an inner product space math V math is said to be positive or positive semidefinite if math P S S math for some bounded operator math S math on math V math , and is said ... math P math on math V math to be positive semidefinite are equivalent math P S S math for some bounded operator math S math on math V math , math P T 2 math for some self adjoint operator math T math on math V math , math P math is self adjoint and math langle Pu,u rangle geq 0, forall u in V math . II The following conditions for a bounded operator math P math on math V math to be positive definite are equivalent math P S S math for some non singular bounded operator math S math on math V math , math P T 2 math for some non singular self adjoint operator math T math on math V math , math P math ... publisher Springer Verlag isbn 0 387 97245 5 year 1990 DEFAULTSORT Positive Element Category Functional ... more details
Infobox OS name Element OS logo File Element OS logo.png 200px Element OS logo logo screenshot caption slogan Are You in Your Element? website http www.elementmypc.com www.elementmypc.com family Unix like ... main index.php title Element OS Linux on your HTPC accessdate 1 May 2011 last Discontinued authorlink ... prod template directly the above line is generated by subst prod reason Element OS was a Linux operating ... discontinued ref name DistroWatch cite web url http distrowatch.com table.php?distribution Element title Element accessdate 29 April 2010 last DistroWatch authorlink year 2010 month March ref ref name ... title Element media.OS v1.0 Beta Now Available accessdate 4 May 2010 last Linux Today authorlink year 2010 month January ref ref name GreenHughes cite web url http www.greenhughes.com content element os linux your tv and sofa title Element OS Linux for your TV and sofa accessdate 4 May 2010 last Green ... 2010 02 element os your ultimate entertainment.html title Element OS Your ultimate entertainment ... Element OS was based on Xubuntu and maintained compatibility with the Ubuntu repositories. It used the Advanced Packaging Tool with Element s own custom repositories and the Ubuntu repositories. In addition to the package manager, Element OS incorporated the Allmyapps software center to allow ... title Element HTPC Technology accessdate 29 April 2010 last Element authorlink year undated ref Element employed a customized Xfce interface with similar full screen windowing effects seen on netbook and mobile interfaces such as the Ubuntu Netbook Remix . ref name tech Software Element OS ... main featured apps title Featured Apps accessdate 29 April 2010 last Element authorlink year undated ref Hardware Element OS worked together with Eight Virtues , a hardware reseller, to produce EVTV, a custom built HTPC with Element OS installed. Citation needed date April 2010 References See http ... Xfce Linux distributions Home theater PC application software DEFAULTSORT Element Os Category ... more details
unreferenced date May 2011 Orphan date May 2011 The beam element is a mathematical construct used to model Beam structure beam type structures. The beam is a common structure used in engineering. The frame of a steel building , the frame of a vehicle street lights can all be described by beams. For these reasons the element is used frequently in finite element analysis . The typical beam element assumes all loading is discrete at the ends of the beam. In cases where there is intermediate loading, multiple elements are used. If the intermediate loading is distributed, a load lumping scheme needs to be applied to map the forces to the node. In these situations the beam element fails to give the analytical solution for beam deflection. Provided that a consistent load lumping scheme is applied the element will predict the correct internal forces and displacement at the nodes. Thus by including increasingly more beam elements to a problem, the solution will converge to the exact result. Category Mathematical modeling ... more details
wiktionary element 9 Element 9 may refer to Element 9 music Fluorine disambiguation Short pages monitor This long comment was added to the page to prevent it from being listed on Special Shortpages. It and the accompanying monitoring template were generated via Template Long comment. Please do not remove the monitor template without removing the comment as well. ... more details
Infobox musical artist name Element Eighty image size 200 background group or band origin Tyler, Texas Tyler , Texas , United States genre Independent music Indie , hard rock , groove metal , ref http www.last.fm music Element Eighty ref nu metal years active 2000 &ndash 2006, 2007 &ndash 2010 label Texas Cries br Universal Records website http www.elementeighty.net ElementEighty.net Element Eighty was a four piece nu metal band from Tyler, Texas Tyler , Texas . The band formed in 2000. The band split in 2006, only to be reunited a few months later in 2007. Their first album was named after the element Mercury, which is element eighty on the Periodic Table of the Elements . ref http en.wikipedia.org wiki Mercury element ref History Element Eighty formed in 1998 , and self released their debut album Mercuric album Mercuric on June 21, 2001. In April 2003, the band signed a deal with Universal Music Universal Republic Records . Their self titled album Element Eighty album Element Eighty was released on October 28, 2003. The band toured with such artists as Sevendust , Mudvayne , 3 Doors Down , Slipknot band Slipknot , Shinedown , Korn , Hellyeah , Ill Ni o , Flaw band Flaw , 40 Below Summer and Mushroomhead . Citation needed reason article date November 2007 The song Broken Promises ... in December 2006, Element Eighty have since reunited as of May 2007. They have recently begun recording ... due to personal issues. They have since announced the end of Element Eighty. Ryan Carroll is now ... 95 Date of Release Title Label Jun 21, 2001 Mercuric album Mercuric Self released Oct 28, 2003 Element Eighty album Element Eighty Universal Republic Nov 5, 2005 The Bear album The Bear Texas Cries References ... elementeighty Official Element Eighty Street Team Allmusic class artist id p601794 label Element ... groups disestablished in 2010 de Element Eighty es Element Eighty it Element Eighty nl Element Eighty pl Element Eighty pt Element Eighty ru Element Eighty ... more details
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