21. Albeverio , Liang : Asymptotic Expansions For The Laplace Approximations Of Sums by S Albeverio 2005 - Cited by 6 - Related articles http://projecteuclid.org/euclid.aop/1108141728

Log in Title Author(s) Abstract Subject Keyword All Fields FullText more options Home Browse Search ... next Asymptotic expansions for the Laplace approximations of sums of Banach space-valued random variables Sergio Albeverio and Song Liang Source: Ann. Probab. Volume 33, Number 1 (2005), 300-336. Abstract Let X i i N , be i.i.d. B -valued random variables, where B B into R . An asymptotic evaluation of Z n E (exp( n i n X i n ))), up to a factor (1+ o (1)), has been gotten in Bolthausen [ Probab. Theory Related Fields Probab. Theory Related Fields Z n as n Primary Subjects: Keywords: Laplace approximation asymptotic expansions i.i.d. random vectors Banach space-valued random variables Full-text: Open access Screen Optimized PDF File (260 KB) Links and Identifiers Permanent link to this document: http://projecteuclid.org/euclid.aop/1108141728 Digital Object Identifier: doi:10.1214/009117904000001017 Mathematical Reviews number (MathSciNet): Zentralblatt MATH identifier: back to Table of Contents References Albeverio, S. (1997). Wiener and Feynman-path integrals and their applications. In

22. Scitopia Topic Page For Approximations And Expansions Strongcontrast expansions and approximations for the effective Exponential asymptotic expansions and approximations of the unstable and stable http://www.scitopia.org/topicpages/a/approximations and expansions.html

23. Taylor Series - Wikipedia, The Free Encyclopedia The Kerala school of astronomy and mathematics further expanded his works with various series expansions and rational approximations until the 16th century. http://en.wikipedia.org/wiki/Taylor_series

Taylor series From Wikipedia, the free encyclopedia Jump to: navigation search "Series expansion" redirects here. For other notions of the term, see series (mathematics) As the degree of the Taylor polynomial rises, it approaches the correct function. This image shows sin x (in black) and Taylor approximations, polynomials of degree and The exponential function (in blue), and the sum of the first n +1 terms of its Taylor series at (in red). In mathematics , the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. The Taylor series was formally introduced by the English mathematician Brook Taylor in 1715. If the series is centered at zero, the series is also called a Maclaurin series, named after the Scottish mathematician Colin Maclaurin who made extensive use of this special case of Taylor's series in the 18th century. It is common practice to use a finite number of terms of the series to approximate a function. The Taylor series may be regarded as the limit of the Taylor polynomials Contents Definition Examples History Analytic functions ... edit Definition The Taylor series of a real or complex function x ) that is infinitely differentiable in a neighborhood of a real or complex number a is the power series which can be written in the more compact sigma notation as where n ! denotes the factorial of n and n a ) denotes the n th derivative of evaluated at the point a . The zeroth derivative of is defined to be itself and x a a , the series is also called a

24. Change In Topics In CA Classical Analysis Special functions, orthogonal polynomials, harmonic analysis, ODE's, differential relations, calculus of variations, approximations, expansions http://cio.nist.gov/esd/emaildir/lists/opsftalk/msg00050.html

Change in topics in CA To opsftalk@wins.uva.nl Subject Change in topics in CA From greg@matching.math.ucdavis.edu Date: Fri, 12 Jun 1998 15:42:16 -0400 Content-Length: 394 Content-Type: text/plain; charset="us-ascii" Sender: owner-opsftalk Hi. At the request of the SIAM interest group in special functions and orthogonal polynomials, I changed the list of topics for CA at the Front and I request the same change at xxx: CA* Classical Analysis Special functions, orthogonal polynomials, harmonic analysis, ODE's, differential relations, calculus of variations, approximations, expansions, asymptotics Greg Prev by Date: Ratios of orthogonal polynomials Next by Date: Fw: 2-D Chebyshev Polynomial Regression Prev by thread: Fw: 2-D Chebyshev Polynomial Regression Next by thread: Ratios of orthogonal polynomials Date Index Thread Index list-master@nist.gov

25. Wikipedia:WikiProject Mathematics/PlanetMath Exchange/41-XX Approximations And E 41XX Approximations and expansions. This list will be periodically updated http://en.wikipedia.org/wiki/Wikipedia:WikiProject_Mathematics/PlanetMath_Exchan

Wikipedia:WikiProject Mathematics/PlanetMath Exchange/41-XX Approximations and expansions From Wikipedia, the free encyclopedia Wikipedia:WikiProject Mathematics PlanetMath Exchange Jump to: navigation search This page provides a list of all articles available at PlanetMath in the following topic: 41-XX Approximations and expansions This list will be periodically updated. Each entry in the list has three fields: PM WP Status status entries are: Status means PM article N not needed A adequately covered C copied M merged NC needs copying NM needs merging Please update the WP and Status fields as appropriate. if the WP field is correct please remove the qualifier "guess". If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link. If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry. If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable. Don't forget to include the relevant template if you copy over text or feel like an external link is warranted See the main page for examples and usage criteria.

26. Benedict College Physics And Engineering Department - Physics Introduction to Lagrange's equations, tensor algebra, and analytical techniques such as approximations, expansions, and dimensional analysis. Three 1hour lecture periods. http://www.benedict.edu/divisions/acadaf/sch-science/phys_engineer/physics/bc_ph

Physics and Engineering Dept. Blackboard Degree Programs Physics ... Transportation Programs Faculty Homepages Syllabi/Course Outlines Student Organizations Contact Us Physics and Engineering Dept. PHYSICS COURSES STEM 111, 112, 211, 212, 311, 312, 411, 412 Seminars credit 1 hr. ea. Phys 140 General Earth Science credit 4 hrs. This course is an introductory survey of the earth and its environment. Subjects include physical and historical geology, meteorology, oceanography, planet earth, and the solar system. Three 1-hour lecture periods and one 2-hour laboratory period. Phys 141 General Physical Science Credit 4hrs. General Physical Science is an integrated basic survey of the physical sciences including physics, chemistry, geology, astronomy and meteorology. Laboratory exercises parallel and supplement the work in the classroom. Three 1-hour lecture periods and one 2-hour laboratory period. Phys 241 General Physics I credit 4 hrs. This course covers the fundamentals of physics including mechanics, waves, and heat. Three 1-hour lecture periods and one 2-hour laboratory period. Prerequisite: Math 138 and Math140. Phys 242 General Physics II credit 4 hrs.

27. 41: Approximations And Expansions Jan 14, 2000 Approximations and expansions primarily concern the approximation of classes of real functions by functions of special types. http://www.math.niu.edu/~rusin/known-math/index/41-XX.html

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 41: Approximations and expansions Introduction Approximations and expansions primarily concern the approximation of classes of real functions by functions of special types. This includes approximations by linear functions, polynomials (not just the Taylor polynomials), rational functions, and so on; approximations by trigonometric polynomials is separated into Fourier analysis (below). Topics include criteria for goodness of fit, error bounds, stability upon change of approximating family, and preservation of functional characteristics (e.g. differentiability) under approximation. Effective techniques for specific kinds of approximation are also prized. This is also the area covering interpolation and splines. History Applications and related fields For all approximation theory in the complex domain, See 30Exx, 30E05, and 30E10; for all trigonometric approximation and interpolation, see 42Axx, 42A10, and 42A15; for numerical approximation, See 65Dxx This image slightly hand-edited for clarity.

28. Index Via Los Alamos Preprint Hierarchy System Special functions, orthogonal polynomials, harmonic analysis, ODEs, differential relations, calculus of variations, approximations, expansions, asymptotics http://www.math.niu.edu/~rusin/known-math/index/LANL.html

Search Subject Index MathMap Tour ... Help! Index using Los Alamos Preprint-Server Classifications Here are the subdivisions of mathematics classified according to the system used at the Los Alamos preprint-server. The LANL archive is largely an amalgam of independently-founded specialty archives, and thus is not necessarily comprehensive in scope nor non-duplicative nor arranged according to any single system. (Other specialty preprint servers are mentioned on the corresponding index pages at this site.) We provide links here to what appear to be the best-matching index pages at this site to each of the 31 subject classes at LANL. You can go directly back to the index arranged according to the AMS/Zbl Mathematics Subject Classification system used to organize materials at this site. There are also separate categories at LANL for Computer Science Physics , and "Nonlinear Sciences" [Adaptation, Noise, and Self-Organizing Systems / Chaotic Dynamics / Cellular Automata and Lattice Gases / Nonlinear Sciences / Pattern Formation and Solitons / Exactly Solvable and Integrable Systems ] The remainder of this page is taken nearly verbatim from http://xxx.lanl.gov/new/math.html

29. A GENERAL THEOREM IN THE THEORY OF ASYMPTOTIC EXPANSIONS AS File Format PDF/Adobe Acrobat Quick View http://cowles.econ.yale.edu/korora/phillips/pubs/art/a010.pdf

30. Methodology And Computing In Applied Probability the editorial policy of attracting papers which represent a broad range of interests * Algorithms * Approximations * Asymptotic Approximations Expansions http://old.library.georgetown.edu/newjour/m/msg03204.html

NewJour Home NewJour: M Search Subject Prev ... Subject Next Methodology and Computing in Applied Probability Methodology and Computing in Applied Probability http://www.springerlink.com/link.asp?id=103281 NewJour Home NewJour: M Search ... Subject Next

31. Strong-contrast Expansions And Approximations For The Effective File Format PDF/Adobe Acrobat Quick View http://cherrypit.princeton.edu/papers/paper-213.pdf

32. 1998 RUTCOR Research Reports 2198 Approximations, Expansions and Univalued Representations of Multifunctions , Darinka Dentcheva 22-98 The Matrix Volume, Surface Integrals and Probability Distributions http://rutcor.rutgers.edu/~rrr/1998.html

1998 RUTCOR Research Reports ABSTRACTS Closed Sets and Generators in Ternary Hamming Spaces , Endre Boros, Peter L. Hammer, Federica Ricca and Bruno Simeone On the Complexity of Generation in Ternary Hamming Spaces , Endre Boros, Peter L. Hammer, Federica Ricca and Bruno Simeone Optimal cell flipping to minimize channel density in VLSI design and pseudo-Boolean optimization , Endre Boros, Peter L. Hammer, Michel Minoux and David J. Rader, Jr. Sequential Control Specification with TL and NCES , Luz E. Pinzon, Hans-Michael Hanisch and Mohsen A. Jafari Convexity and Logical Analysis of Data , Oya Ekin, Peter L. Hammer and Alexander Kogan Equational Theories of Boolean Functions , Oya Ekin, Stephan Foldes, Peter L. Hammer and Lisa Hellerstein On Stochastic Dominance and MeanSemideviation Models , Wlodzimierz Ogryczak and Andrzej Ruszczynski Semilattices distributive over a max operation , Stephan Foldes and Gerasimos Meletiou Another Proof of the Brocard Angle Limit Theorem , Stephan Foldes Constraint Aggregation in Infinite-Dimensional Spaces and Applications , Arkadii V. Kryazhimskii and Andrzej Ruszczynski

33. Approximation Of Quadratic Irrationals And Their Pierce Expansions File Format PDF/Adobe Acrobat Quick View http://www.recercat.net/bitstream/2072/321/1/171.pdf

34. Methodology And Computing In Applied Probability (JournalSeek) exclusive but to demonstrate the editorial policy of attracting papers which represent a broad range of interests Algorithms Approximations Asymptotic Approximations Expansions http://journalseek.net/cgi-bin/journalseek/journalsearch.cgi?field=issn&quer

35. Approximations, Expansions And Univalued Representations Of Multifunctions by D Dentcheva 2001 - Cited by 8 - Related articles http://portal.acm.org/citation.cfm?id=380093.380107

36. ILC Class Au approximations, expansions aun sinusoidal basis functions Fourier analysis aun3 through Fourier transform http://www.iskoi.org/ilc/no.php?no=au

37. Analytical Expansion And Numerical Approximation Of The Fermi-Dirac Integrals {\ by FG Lether 2000 - Cited by 2 - Related articles http://portal.acm.org/citation.cfm?id=507871

38. Transforming Upper-Division Undergraduate Electricity Magnetism I For example Realworld contexts Articulating expected answer Making sense of final answer Approximations, expansions, estimations…  10 weekly tutorials* under http://www.colorado.edu/physics/EducationIssues/talks_posters/08_poster_SVC_PERC

39. Local-density Approximation, Hierarchy Of Equations, Functional File Format PDF/Adobe Acrobat Quick View http://www.unc.edu/~shubin/PDFs/PRA_1996_3.pdf

40. Intute - Full Record - Classical Analysis And ODEs Front For The Mathematics ArX ordinary differential equations; special functions; orthogonal polynomials; harmonic analysis; ODEs; differential relations; calculus of variations; approximations; expansions; http://www.intute.ac.uk/cgi-bin/fullrecord.pl?handle=984397469-11332

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