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# Topic: Element mathematics

 Element (mathematics) - Wikipedia, the free encyclopedia In mathematics, an element (also called a member) is an object contained in a set (or more generally a class). The elements of B are not 1, 2, 3, and 4. The number of elements in a particular set is a property known as cardinality, informally this is the size of a set. en.wikipedia.org /wiki/Element_(mathematics)   (293 words)

 Element (mathematics) -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-18) Groups of elements of A, for example, are (A set whose members are members of another set; a set contained within another set) subsets of A. The (An abstraction belonging to or characteristic of two entities or parts together) relation "is an element of", also called set membership, is denoted by "∈", and writing "x ∈ A", means that x is an element of A. The number of elements in a particular set is a property known as (additional info and facts about cardinality) cardinality, informally this is the size of a set. www.absoluteastronomy.com /encyclopedia/e/el/element_(mathematics).htm   (293 words)

 Mathematics Closure (mathematics) In mathematics, the closure C(X) of an object X is defined to be the smallest object that both inc... Degeneracy (mathematics) In mathematics, a degenerate case is a limiting case in which a class of object changes its nat... Mathematics Mathematics is commonly defined as the study of Philosophy of mathematics. www.brainyencyclopedia.com /topics/mathematics.html   (2391 words)

 Element - Wikipedia, the free encyclopedia Chemical element, the class of atoms with the same number of protons in the nucleus Electrical element, any device (such as an inductor, resistor, capacitor, conductor, line, or cathode ray tube) with terminals at which it may be connected directly with other devices. Element (mathematics), a member of a set or class en.wikipedia.org /wiki/Element   (284 words)

 Element (mathematics) - Open Encyclopedia   (Site not responding. Last check: 2007-10-18) ru:Элемент множества In mathematics, an element (also called a member) is an object contained in a set (or more generally a class). For example, C = {red, green, blue}, is the set whose elements are the colors red, green and blue. The relation "is an element of", also called set membership, is denoted by "∈", and writing "x ∈ A", means that x is an element of A. open-encyclopedia.com /Element_(mathematics)   (285 words)

 Element - Wikipedia, the free encyclopedia Classical element, in ancient times believed to be the realm wherein all matter in the universe existed and whereof all matter consisted. Five elements (Chinese philosophy), the basis of the universe according to Chinese Taoism Five elements (Japanese philosophy), the basis of the universe according to Japanese philosophy en.wikipedia.org /wiki/Elements   (284 words)

 Encyclopedia: Element In mathematics: A chemical element, often called simply element, is the class of atoms which contain the same number of protons. Tattva are a way of directly experiencing the 5 alchemical elements, so are therefore the logical progression of the previous elemental grade where the elements were first discussed and symbolic ways of working with them described. The Elements (1959) is a song by Tom Lehrer that recites the names of all the chemical elements that were known at the time of writing, up to number 102, nobelium. www.nationmaster.com /encyclopedia/Element   (670 words)

 [No title] It was during Davies time as the Head of the Department of Mathematics that calculus was taught to all cadets and later used in the development of the science and engineering courses. Under his guidance a mathematics consulting element was established that allowed faculty members and students to support the research needs of the Army. His areas of research interest in mathematics include applying mathematics to solving problems in science, numerical computing, the theory of numbers and their properties, and the history of mathematics. www.dean.usma.edu /math/about/history/briefdh.htm   (761 words)

 Element   (Site not responding. Last check: 2007-10-18) Classical element — in ancient times believed to be the realm wherein all matter in the universe existed and whereof all matter consisted. Five Elements — held by Chinese Taoism to be the basis of the universe. Euclid's Elements — a mathematical treatise on geometry by Euclid. www.worldhistory.com /wiki/E/Element.htm   (281 words)

 Maximal element - TheBestLinks.com - Analysis, Directed set, Mathematics, Partially ordered set, ...   (Site not responding. Last check: 2007-10-18) In mathematics, especially in order theory, a maximal element of a subset S of some partially ordered set is an element of S that is not smaller than any other element in S. This example also shows that maximal elements are usually not unique and that it is well possible for an element to be both maximal and minimal at the same time. Yet, in a totally ordered set, the terms maximal element and greatest element coincide, which is why both terms are used interchangeably in fields like analysis where only total orders are considered. www.thebestlinks.com /Maximal.html   (444 words)

 ipedia.com: Element (mathematics) Article   (Site not responding. Last check: 2007-10-18) In mathematics, an element is an object contained in a class, often a set. The elements of this set are 1, 2, 3 and 4 respectively. Here the elements of this set are 1, 2, and, where the set is a single element of Y by itself. www.ipedia.com /element__mathematics_.html   (422 words)

 math lessons - Identity element In mathematics, an identity element (or neutral element) is a special type of element of a set with respect to a binary operation on that set. Then an element e of S is called a left identity if e * a = a for all a in S, and a right identity if a * e = a for all a in S. If S has only two elements, e and f, and the operation * is defined by e * e = f * e = e and f * f = e * f = f, then both e and f are left identities, but there is no right or two-sided identity. www.mathdaily.com /lessons/Identity_element   (374 words)

 Euclid's Elements, Introduction Euclid's Elements form one of the most beautiful and influential works of science in the history of humankind. The Elements have been studied 24 centuries in many languages starting, of course, in the original Greek, then in Arabic, Latin, and many modern languages. In mathematics, especially, nothing is considered to be known until it is proved. aleph0.clarku.edu /~djoyce/java/elements/elements.html   (428 words)

 Electronic Theses and Dissertations - new.etd In that instance, the contained text is the name of the school to which the citation author submitted the cited material (be it a thesis, dissertation, project report, or otherwise). In the context of a committee approval type element, it is the name of the committee member. Element type head may be used to define an alternate title to this section of the ETD. www.oasis-open.org /cover/etd-dtd.html   (3658 words)

 [No title] J. Douglas, Z. Cai and X. Ye, A Stable Quadrilateral nonconforming Element for the Navier-Stokes Equations, Calcolo, 36 (1999) 215-232. Z. Cai and X. Ye, A Least-Squares Finite Element Approximation for the Compressible Stokes Equations, Numer. J. Wang and X. Ye, Superconvergence of finite element approximations for the Stokes problem by least squares surface fitting, SIAM J. Numer. www.ualr.edu /xxye/pub.htm   (682 words)

 SMU Math Research Colloquium, Spring, 2000   (Site not responding. Last check: 2007-10-18) The mortar finite element method ([1, 2, 3]) is a non-conforming domain decomposition technique which helps to accomplish such a modeling task. In this talk, the hp-version of the non-conforming technique developed in [3, 4, 8, 9] will be discussed where the stability and convergence were shown to be "uniform" in terms of "both" the polynomial degree "and" the mesh refinement used, without assuming quasiuniformity for the meshes. The numerical analysis of the mortar finite element method relies on the coercivity of the bilinear form and an evaluation of approximation and consistency error terms ([5, 6, 7]). www.smu.edu /math/colloquium/f01/abs.seshaiyer.html   (450 words)

 DBQuant   (Site not responding. Last check: 2007-10-18) In the first phase we are seeking pump-priming finance from the EPSRC Mathematics and Engineering programmes for four projects on the theme of stochastic and computational partial differential equations. This money is needed to pay for scientific meetings, research visitors and for RAs, for Mathematics in the area of stochastic partial differential equations and for Engineering in the area of computational partial differential equations for each year. The fourth project would be in the Mathematics of Finance with Dr. Mark Kelbert as Co-Director, involving Engineering through Professor Roger Owen, and Professor Barndoff-Nielsen (Aarhus, Denmark, Director of MaPhySto Centre for mathematical physics and stochastics, and a member of the European Academy of Science) and staff from Mathematics and Economics Departments. www.dbconvertibles.com /dbquant/prospectus_irima.html   (1093 words)

 [No title]   (Site not responding. Last check: 2007-10-18) We understand that some of the critical elements for the key principles may still be under consideration and may not yet be final State policy by the January 31 due date. For each of the elements listed in the following chart, States should indicate the current implementation status in their State using the following legend: F: State has a final policy, approved by all the required entities in the State (e.g., State Board of Education, State Legislature), for implementing this element in its accountability system. For mathematics, the percent proficient for the school with the 20th percentile student was 57.61%. www.ed.gov /admins/lead/account/stateplans03/akcsa.txt   (15275 words)

 Document Type Defini... The content of the link element gives an authored preview of where the link ``goesto,'' such as the author name and year for a bibliographic reference, or ``See...'' or ``See also...'' Omitting the content may indicate that a footnote is the destination. References to a floating object are made with the link element, whose ``goesto'' attribute names the identifier in the floating object element. Elements within the inclusion set may appear at any level of nesting below the point at which they occur. etd.vt.edu /etd-ml/dtdetds.htm   (4083 words)

 math lessons - Partial function In mathematics and computer science, a partial function from the domain X to the codomain Y is a binary relation over X and Y which associates with every element in the set X at most one element in the set Y. If a partial function associates with every element in its domain precisely one element of its codomain, then it is termed a total function, or simply a "function" as traditionally understood in mathematics. This above diagram does not represent a "well-defined" function because the element 1 in X is not associated with anything. www.mathdaily.com /lessons/Partial_function   (158 words)

 Mathematics and Computers in Simulation.   (Site not responding. Last check: 2007-10-18) O.M. Aamo, T.I. Fossen, Finite element modelling of mooring lines, Mathematics and Computers in Simulation 53 (4-6) (2000) pp. Adomian, Solving the mathematical models of neurosciences and medicine, Mathematics and Computers in Simulation 40 (1-2) (1995) pp. Agosteo, C. Birattari, A. Foglio Para, M. Silari, L. Ulrici, FLUKA simulations and measurements for a dump for a 250 GeV/c hadron beam, Mathematics and Computers in Simulation 55 (1-3) (2001) pp. elsevier.com /cdweb/journals/03784754/viewer.htt?viewtype=authors&...   (584 words)

 Amazon.co.uk: Introductory Functional Analysis: With Applications to Boundary-Value Problems and Finite Elements (Texts ...   (Site not responding. Last check: 2007-10-18) The book is intended for use by senior undergraduate and graduate students in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Readers of this book can expect to obtain a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method. It is not very demanding on mathematical procedures, but lays out the nessary concepts in a very logical progression for Engineers and none math majors, though some math people may not like it. www.amazon.co.uk /exec/obidos/ASIN/0387983074   (574 words)

 The Finite Element Method for Engineers This is a revision of a text that has sold well and has been well-received by the technical community as a practical guide. With applications and examples, the text explains how the finite element method can be applied to numerous and diverse areas of mechanics problems and analysis. The finite element method is a standard area of study at most universities and this book is a useful and reliable tool for students and practitioners alike. www.allbookstores.com /book/0471370789   (192 words)

 presentations   (Site not responding. Last check: 2007-10-18) Demkowicz, L.F.,"Two-Dimensional Infinite Element for Maxwell's Equations", Mathematics of Finite Elements and Applications, Brunel, GB, June 22-25, 1999. Demkowicz, L.F., "Adaptive hp-Finite Element Modeling for Maxwell's Equations", University of Wales at Swansea, GB, June 11, 1999. Mathematical Aspects," IFIP Conference on Modelling and Optimization of Distributed Parameter Systems with Applications to Engineering, Warsaw, July 1995. www.ticam.utexas.edu /~leszek/presentations.html   (2132 words)

 Mathematics of the Finite Element Method The objective of this course is to introduce the finite element method using ANSYS and FLOTRAN and their procedures. The integration over the interior surface area on an element is canceled by the integration on the neighboring element. The integrations over each element are approximated by a single value in a linear element or by the average over the Gauss points in a quadratic element. math.nist.gov /mcsd/savg/tutorial/ansys/FEM   (643 words)

 Mathematics and Computers in Simulation.   (Site not responding. Last check: 2007-10-18) Idczak, Necessary optimality conditions for a nonlinear continuous n-dimensional Roesser model, Mathematics and Computers in Simulation 41 (1-2) (1996) pp. Walter, L. Pronzato, On the identifiability and distinguishability of nonlinear parametric models, Mathematics and Computers in Simulation 42 (2-3) (1996) pp. Xiangqiao Yan, Youshan Wang, Xijin Feng, Study for the endurance of radial truck tires with finite element modeling, Mathematics and Computers in Simulation 59 (6) (2002) pp. www.elsevier.com /cdweb/journals/03784754/viewer.htt?viewtype=authors&rangeselected=88   (672 words)

 Mathematical Background In many applications, the elements are never defined, but are left as abstractions that could be represented in many different ways in the human brain, on a piece of paper, or in computer storage. A sequence of two elements is sometimes called an ordered pair; a sequence of three elements, a triple; a sequence of four, a quadruple; a sequence of five, a quintuple; and a sequence of n elements, an n-tuple. In mathematics, the element x is called the argument, and f(x) is called the result or the image of x under the mapping f. www.jfsowa.com /logic/math.htm   (14436 words)

 [No title]   (Site not responding. Last check: 2007-10-18) Finite Element Circus, Syracuse, Syracuse University, Oct. 16 2004. Finite Element Circus, Newark, University of Delaware, March 30-31, 2001. Finite Element Circus, Rutgers University, October 20-21, 2000. www.math.purdue.edu /~pjh/Mydata/cv.html   (847 words)

 Manil Suri's Homepage   (Site not responding. Last check: 2007-10-18) In addition to our Carnegie Foundation classification of Doctoral/Research- Extensive (which places us in the top 4% of national universities research-wise), we were also written up in the New York Times (October 14, 2000) for our outstanding success in graduating minority students in Mathematics and Science (one of the highest in the country). Finite element methods for elliptic problems, in particular the p version and hp version. Conference in honor of the 65th birthday of Professor Barna Szabo which was held in May/June 2000, organized by Professor Zohar Yosibash and myself. www.math.umbc.edu /~suri   (514 words)

 Home Page - Professor B. Q. Guo Best Approximation of the p-version of the Boundary Element Method in the Framework of the Jacobi-weighted Besov spaces. Mathematics for Graduate Students in China, held in Fudan University, Shanghai, State of the Art in the h-p Version of the Finite Element Method. home.cc.umanitoba.ca /~guo/invited_speaker.htm   (298 words)

 FEM Books-Fundamentals Mathematical Aspects of Finite Element Methods, Galligani, I. and Magenes, E., eds., 1977, CP Mathematical Aspects of Finite Elements in Partial Differential Equations, De Boor, C., ed., 1974, CP Variational and Finite Element Methods, A Symbolic Computation Approach, Beltzer, A. There are also other books where one or more chapters dealing with the finite element technique are included on the subject Fundamentals and Mathematical Aspects in general. ohio.ikp.liu.se /fe/fund.html   (1969 words)

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