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Successful 2012-10-30 - (2012-01-30) - Broucke R.A. and Cefola P.J.: On the Equinoctial Orbit Elements.
Celestial Mechanics Vol 5, 1972 - ISSN 0008-8714
Subscriptions at TUDelft Library: Celestial Mechanics - Celestial Mechanics and Dynamical Astronomy - Subscription at UUtrecht Library
Successful 2012-10-30 - (2012-01-30) - Luminet J.-P. et al.: Dodecahedral Space topology as an Explanation for Weak Wide-Angle- (...).
Nature 425 (2003): 593-595
Successful 2012-10-30 - (2012-01-24) - Herman Batelaan and Akira Tonomura: The Aharonov–Bohm effects: Variations on a subtle theme.
Physics Today, September 2009, page 38 - Permalink http://dx.doi.org/10.1063/1.3226854
URL TUDelft subscription to "Physics Today" - URL UUtrecht subscription to "Physics Today"
The notion, introduced 50 years ago, that electrons could be affected by electromagnetic potentials without coming in contact with actual force fields was received with a skepticism that has spawned a flourishing of experimental tests and expansions of the original idea.
Successful - 2012-01-24 - (2012-10-05) - Amir Haji-Akbari et al.: Disordered, quasicrystalline and crystalline phases of densely packed tetrahedra.
Nature 462, 773-777 (10 December 2009) | doi:10.1038/nature08641; Received 5 July 2009; Accepted 3 November 2009
URL TUDelft Subscription to "Nature" - URL UUtrecht subscription to "Nature"
Successful - 2012-01-24 - (2012-01-04) - Herb Kunze et al.: Fractal-Based Methods in Analysis. book online at Springer through BibTUD -
Editorial Reviews
From the Back Cover
The idea of modeling the behavior of phenomena at multiple scales has become a useful tool in both pure and applied mathematics.
Fractal-based techniques lie at the heart of this area, as fractals are inherently multiscale objects; they very often describe nonlinear phenomena better than traditional mathematical models. In many cases they have been used for solving inverse problems arising in models described by systems of differential equations and dynamical systems.
"Fractal-Based Methods in Analysis" draws together, for the first time in book form, methods and results from almost twenty years of research in this topic, including new viewpoints and results in many of the chapters.
For each topic the theoretical framework is carefully explained using examples and applications.
The second chapter on basic iterated function systems theory is designed to be used as the basis for a course and includes many exercises. This chapter, along with the three background appendices on topological and metric spaces, measure theory, and basic results from set-valued analysis, make the book suitable for self-study or as a source book for a graduate course.
The other chapters illustrate many extensions and applications of fractal-based methods to different areas.
This book is intended for graduate students and researchers in applied mathematics, engineering and social sciences.
Herb Kunze is a Professor in the Department of Mathematics and Statistics, University of Guelph.
Davide La Torre is an Associate Professor in the Department of Economics, Business and Statistics, University of Milan.
Franklin Mendivil is a Professor in the Department of Mathematics and Statistics, Acadia University.
Edward R. Vrscay is a Professor in the Department of Applied Mathematics, Faculty of Mathematics, University of Waterloo.
A major focus of their research is fractals and their applications.
About the Authors
Franklin Mendivil is a Professor in the Department of Mathematics and Statistics at Acadia University;
Herb Kunze is a Professor in the Department of Mathematics and Statistics at Guelph University;
Davide La Torre is an Associate Professor in the Department of Economics, Business and Statistics at University of Milan;
Edward R. Vrscay is a Professor at the University of Waterloo.
Successful - 2012-01-24 - (2011-12-17) - Adrian Cho: First Solid Signs of the Higgs Boson Could Be Announced Next Week.
Science 9 December 2011 - Vol. 334 no. 6061 p. 1334 - DOI: 10.1126/science.334.6061.1334
URL TUDelft Subscription to "Science" - URL UUtrecht subscription to "Science"
Summary: Next week, physicists working with the world's biggest atom smasher—the Large Hadron Collider (LHC) at the European particle physics laboratory, CERN—will report the latest results of searches for the Higgs, the key to physicists' explanation of how all particles get their mass. Nobody expects a definitive claim of discovery, but given the amount of data the LHC has produced in 2 years of running, some physicists say that—if it's there—the Higgs should begin to emerge from "background"
particle collisions like a sapling rising above the grass.
Related full article at http://news.sciencemag.org/sciencenow/2011/12/in-search-for-higgs-boson-physic.html?ref=em&elq=08be7fd7d8a4493d86107c6f8c2d9d43
Successful - 2011-12-14 - (2011-12-14) - F.. C. Frank: Orientation mapping. Metallurgical and Materials transactions A, Vol 19 Nr 3 March 1988 p 403-408 (URL)
Successful - 2011-09-06 - (2011-09-05) - F. Buekenhout, M. Parker: The number of nets of the regular convex polytopes in dimension <= 4.
Discrete Mathematics, Volume 186, Issues 1-3, 15 May 1998, Pages 69-94
Link into TUDelft library: http://discover.tudelft.nl:8888/recordview/view?recordId=aleph%3A000420515&language=en
Successful - 2011-08-05 - (2011-08-05) - Irene Polo Blanco: A classical approach to the study of Archimedean four-dimensional polytopes.
Mathematische Semesterberichte (at Utrecht University Library), Volume 55, Number 2, 2008, 107-111 - also at SpringerLink
Related: Jon González
Sánchez
Successful - 2011-05-26 - (2011-05-03) - Hajja M. and Walker P.: Equifacial tetrahedra. International Journal of Mathematical Education in Science and Technology, Volume 32, Number 4, 1 July 2001, pp. 501-508(8)
Abstract
In this article, the authors havebrought together a number of results on centres of tetrahedra, some ofwhich are new and others scattered through the literature, as explainedin section 6. In several cases, new and more accessible proofs havebeen given. In particular, a description given of how the variouscentres coincide for the class of equifacial tetrahedra (also commonlyrefered to as isosceles tetrahedra), and are distinct otherwise.
Availble at BibTUD under URL http://sfx.tudelft.nl:8888/sfx_local?url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&ctx_enc=info:ofi/enc:UTF-8&ctx_ver=Z39.88-2004&rfr_id=info:sid/sfxit.com:azlist&sfx.ignore_date_threshold=1&rft.object_id=954925264202
and also as a hardcopy
Available at BibUU under THIS URL - No hardcopy at BibUU; electronic only
Successful - 2011-05-26 - (2011-04-20) - Ron Goldman: Understanding quaternions. Graphical Models Vol 73, Issue 2, March 2011 - ISSN 524-0703
Abstract
Quaternion multiplication can be applied to rotate vectors in3-dimensions. Therefore in Computer Graphics, quaternions are sometimesused in place of matrices to represent rotations in 3-dimensions. Yetwhile the formal algebra of quaternions is well-known in the Graphicscommunity, the derivations of the formulas for this algebra and thegeometric principles underlying this algebra are not well understood.
The goals of this paper are:
i.To provide a fresh, geometricinterpretation of quaternions, appropriate for contemporary ComputerGraphics;
ii.To derive the formula for quaternion multiplication fromfirst principles;
iii.To present better ways to visualize quaternions,and the effect of quaternion multiplication on points and vectors in3-dimensions based on insights from the algebra and geometry ofmultiplication in the complex plane;
iv.To develop simple, intuitiveproofs of the sandwiching formulas for rotation and reflection;
v.Toshow how to apply sandwiching to compute perspective projections.
InPart I of this paper, we investigate the algebra of quaternionmultiplication and focus in particular on topics i and ii.
In Part IIwe apply our insights from Part I to analyze the geometry of quaternionmultiplication with special emphasis on topics iii, iv and v.
Successful - 2011-05-26 - (2010-08-11) - Mehmet Koca et al: Group theoretical analysis of 600-cell and 120-cell 4D polytopes with quaternions.
J Phys. A: Math. Theor. (Journal of Physics A: Mathematical and Theoretical): 40 7633 - http://iopscience.iop.org/1751-8121/40/27/013/pdf/1751-8121_40_27_013.pdf - http://iopscience.iop.org/1751-8121/40/27/013/
Abstract
600-cell{3, 3, 5} and 120-cell {5, 3, 3} four-dimensional dual polytopesrelevant to quasicrystallography have been studied with thequaternionic representation of the Coxeter group W(H4). The maximal subgroups W(SU(5)):Z2and W(H3) × Z2of W(H4) play important roles in the analysis of cell structures of the dual polytopes. In particular, the Weyl–Coxeter group W(SU(4)) is used
to determine the tetrahedral cells of the polytope {3, 3, 5}, and the Coxeter group W(H3)is used for the dodecahedral cells of {5, 3, 3}. Using the Liealgebraic techniques in terms of quaternions, we explicitly constructcell structures forming the vertices of the 4D polytopes.
Successful - 2011-01-24 - (2010-07-28) - http://www.jstor.org/pss/1999601 - Lee A. Rubel: Some research problems about algebraic differential equations.
Transactions of the American Mathematical Society Vol 280 Nr 1, November1983, pp 43-52
Abstract
Twenty-four new research problems are posed, and their background and partial solutions are sketched. Many of these problems are in the (somewhat unexpected) area of interaction between algebraic differential equations, topology, and mathematical logic.
Successful - 2010-11-01 - (2010-10-11) - James Clerk Maxwell: Matter and Motion. - aanvragen bij BibTUD via http://discover.tudelft.nl:8888/recordview/view?recordId=aleph%3A000788088&language=en en dezelfde dag ophalen
Online op http://rack1.ul.cs.cmu.edu/is/maxmm/
Successful - 2010-07-28 - (2010-06-30) - Schur multipliers of some sporadic simple groups by Robert L. Griess, Jr.
University of Michigan, Ann Arbor, Michigan 48104, U.S.A.
Received 26 September 1972.
Available online 2 September 2004.
ABSTRACT: We determine the Schur multipliers of
several of the sporadic simple groups, and in one case get an upper
bound. The groups treated are those of Held, Suzuki, Fischer, and
Conway
At TUDelft Library: http://www.sciencedirect.com/science?_ob=ArticleListURL&_method=list&_ArticleListID=1414261853&_sort=r
&view=c&_acct=C000050221&_version=1&_urlVersion=0&_userid=10&md5=b9f4113fb4a2a4941e409c38678722e7
Refers to conjugacy classes of Co0.
Successful - 2010-06-29 - 2010-06-13 - http://www.springerlink.com/content/4437w77tx2m82377/ -
An Algorithm to Decompose n-Dimensional Rotations into Planar Rotations
found in Google as
An Algorithm to Decompose n-Dimensional Rotations into Planar ...
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