Wolfram Library Archive: What's New
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Thousands of pages of information on Mathematica and its applicationsen-usCopyright 2014
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8831Solutions Manual to Accompany Ordinary Differential Equations
http://library.wolfram.com/infocenter/Books/8945/
Contributed by: Michael D. Greenberg. Features a balance between theory, proofs, and examples and provides applications across diverse fields of study Ordinary Differential Equations presents a thorough discussion of first-order differential equations and progresses to equations of higher order. The book transitions smoothly from first-order to higher-order equations, allowing readers to develop ...BooksMon, 21 Jul 2014 15:19:30 -0600Computer Algebra in Quantum Field Theory: Integration, Summation and Special Functions
http://library.wolfram.com/infocenter/Books/8944/
The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from ...BooksMon, 21 Jul 2014 15:16:18 -0600Oversampling A/D Converters with Improved Signal Transfer Functions
http://library.wolfram.com/infocenter/Books/8943/
Contributed by: Bupesh Pandita. This book describes techniques for designing complex, discrete-time ΔΣ ADCs with signal-transfer functions that significantly filter interfering signals. The book provides an understanding of theory, issues, and implementation of discrete complex ΔΣ ADCs. The concepts developed in each chapter are further explained by applying them to a target ...BooksMon, 21 Jul 2014 15:12:19 -0600Introduction to Quantitative Methods for Financial Markets
http://library.wolfram.com/infocenter/Books/8942/
Contributed by: Hansjorg Albrecher, Andreas Binder, Volkmar Lautscham, Philipp Mayer. Swaps, futures, options, structured instruments - a wide range of derivative products is traded in today's financial markets. Analyzing, pricing and managing such products often requires fairly sophisticated quantitative tools and methods. This book serves as an introduction to financial mathematics with special ...BooksMon, 21 Jul 2014 15:08:21 -0600Particle and Particle Systems Characterization: Small-Angle Scattering (SAS) Applications
http://library.wolfram.com/infocenter/Books/8941/
Contributed by: Wilfried Gille. Small-angle scattering (SAS) is the premier technique for the characterization of disordered nanoscale particle ensembles. SAS is produced by the particle as a whole and does not depend in any way on the internal crystal structure of the particle. Since the first applications of X-ray scattering in the 1930s, SAS has developed into a standard method in the field of ...BooksMon, 21 Jul 2014 15:02:34 -0600Gravitational collisions and the quark-gluon plasma
http://library.wolfram.com/infocenter/Articles/8940/
Contributed by: Wilke van der Schee. This thesis addresses the thermalisation of heavy-ion collisions within the context of the AdS/CFT duality. The first part clarifies the numerical set-up and studies the relaxation of far-from-equilibrium modes in homogeneous systems. Less trivially we then study colliding shock waves and uncover a transparent regime where the strongly coupled shocks initially ...ArticlesThu, 17 Jul 2014 11:45:10 -0600Cyclic, Simple and Indecomposable Three-fold Triple Systems
http://library.wolfram.com/infocenter/Articles/8939/
Contributed by: Nabil Shalaby, Bradley Sheppard, Daniela Silvesan. In 2000, Rees and Shalaby constructed simple indecomposable two-fold cyclic triple systems for all v congruent to 0, 1, 3, 4, 7, and 9 (mod 12) where v = 4 or v>11, using Skolem-type sequences. We construct, using Skolem-type sequences, three-fold triple systems having the properties of being cyclic, simple, and indecomposable ...ArticlesThu, 17 Jul 2014 11:42:09 -0600New Physics Contributions to the Muon Anomalous Magnetic Moment: A Numerical Code
http://library.wolfram.com/infocenter/Articles/8938/
Contributed by: Farinaldo S. Queiroz, William Shepherd. We consider the contributions of individual new particles to the anomalous magnetic moment of the muon, utilizing the generic framework of simplified models. We also present analytic results for all possible one-loop contributions, allowing easy application of these results for more complete models which predict more than one particle ...ArticlesThu, 17 Jul 2014 11:38:55 -0600A Flavor Kit for BSM models
http://library.wolfram.com/infocenter/Articles/8937/
Contributed by: W. Porod, F. Staub, Avelino Vicente. We present a new kit for the study of flavor observables in models beyond the standard model. The setup is based on the public codes SARAH and SPheno and allows for an easy implementation of new observables. The Wilson coefficients of the corresponding operators in the effective Lagrangian are computed by SPheno modules written by SARAH. New ...ArticlesThu, 17 Jul 2014 11:36:54 -0600A family of density expansions for Lévy-type processes
http://library.wolfram.com/infocenter/Articles/8936/
Contributed by: Matthew Lorig, Stefano Pagliarani, Andrea Pascucci. We consider a defaultable asset whose risk-neutral pricing dynamics are described by an exponential Levy-type martingale subject to default. This class of models allows for local volatility, local default intensity, and a locally dependent Levy measure. Generalizing and extending the novel adjoint expansion technique of ...ArticlesThu, 17 Jul 2014 11:34:33 -0600Analytic matrix elements for the two-electron atomic basis with logarithmic terms
http://library.wolfram.com/infocenter/Articles/8935/
Contributed by: Evgeny Z. Liverts, Nir Barnea. The two-electron problem for the helium-like atom/ions in S-state is considered. The basis containing the integer powers of lnr, where r is a radial variable of the Fock expansion, is studied. In this basis, the analytic expressions for the matrix elements of the corresponding Hamiltonian are presented. These expressions include only special ...ArticlesThu, 17 Jul 2014 11:32:35 -0600LOOL: Mathematica package for evaluating leading order one loop functions
http://library.wolfram.com/infocenter/Articles/8934/
Contributed by: Amon Ilakovac, Luka Popov. One-loop functions with loop masses larger than external masses and momenta can always be expanded in terms of external masses and momenta. The precision requested for observables determines the number of the expansion terms retained in the evaluation. The evaluation of these expansion terms turns out to be much simpler than the exact evaluation of the ...ArticlesThu, 17 Jul 2014 11:26:57 -0600Classification of Rota-Baxter operators on semigroup algebras of order two and three
http://library.wolfram.com/infocenter/Articles/8933/
Contributed by: Li Guo, Markus Rosenkranz, Shanghua Zheng. In this paper we determine all the Rota-Baxter operators of weight zero on semigroup algebras of order two and three with the help of computer algebra. We determine the matrices for these Rota-Baxter operators by directly solving the defining equations of the operators. We also produce a Mathematica procedure to predict and verify these ...ArticlesThu, 17 Jul 2014 11:24:51 -0600Introduction to Classical Density Functional Theory by Computational Experiment
http://library.wolfram.com/infocenter/Articles/8932/
Contributed by: Guillaume Jeanmairet, Nicolas Levy, Maximilien Levesque, Daniel Borgis. We present here an introductory practical course to classical density functional theory (cDFT). Density functional theories, whether quantum or classical, rely largely on nonintuitive abstract concepts and applied mathematics. They are nevertheless a powerful tool and an active field of research in physics and ...ArticlesThu, 17 Jul 2014 11:22:35 -0600FlexibleSUSY -- A spectrum generator generator for supersymmetric models
http://library.wolfram.com/infocenter/Articles/8931/
Contributed by: Peter Athron, Jae-hyeon Park, Dominik Stockinger, Alexander Voigt. We introduce FlexibleSUSY, a Mathematica and C++ package, which generates a fast, precise C++ spectrum generator for any SUSY model specified by the user. The generated code is designed with both speed and modularity in mind, making it easy to adapt and extend with new features. The model is specified by supplying ...ArticlesThu, 17 Jul 2014 10:57:08 -0600The Mathematica Package for Calculation of One-Loop Penguins in FCNC Processes
http://library.wolfram.com/infocenter/Articles/8930/
Contributed by: A.V. Bednyakov, S.H. Tanyildizi. In this work, we present a Mathematica package Peng4BSM@LO which calculates the contributions to the Wilson Coefficients of certain effective operators originating from the one-loop penguin Feynman diagrams. Both vector and scalar external legs are considered. The key feature of our package is the ability to find the corresponding expressions in ...ArticlesThu, 17 Jul 2014 10:54:25 -0600SpinorsExtras - Mathematica implementation of massive spinor-helicity formalism
http://library.wolfram.com/infocenter/Articles/8929/
Contributed by: Jakub Kuczmarski. We present SpinorsExtras package implementing massive spinor-helicity formalism in Mathematica on top of S@M package. Package defines new objects for Mathematica - massive spinors and reference, associated and polarization vectors. Various properties of introduced symbols and relations among them are implemented together with functions to manipulate and ...ArticlesThu, 17 Jul 2014 10:52:16 -0600Mass-corrections to double-Higgs production & TopoID
http://library.wolfram.com/infocenter/Conferences/8928/
Contributed by: Jonathan Grigo, Jens Hoff. We consider power corrections due to a finite top quark mass M_t to the production of a Higgs boson pair within the Standard Model at next-to-leading order (NLO) in QCD. Previous calculations for this process and at this precision were done in the limit of an inifinitely heavy top quark. Our results for the inclusive production cross section at NLO ...Conference ProceedingsThu, 17 Jul 2014 10:44:03 -0600Higher-Order Corrections in QCD Evolution Equations and Tools for Their Calculation
http://library.wolfram.com/infocenter/Articles/8927/
Contributed by: O. Gituliar. In this thesis we calculate the NLO one-loop virtual contributions to the QCD DGLAP splitting functions in a form suitable for Monte Carlo simulations. We use the standard technique based on the factorization properties of mass singularities in the light-cone axial gauge \cite{EGMPR79,CFP80} but we propose a modification to this approach by introducing a New Principal ...ArticlesThu, 17 Jul 2014 10:38:43 -0600Top-down and bottom-up excursions beyond the Standard Model: The example of left-right symmetries in supersymmetry
http://library.wolfram.com/infocenter/Articles/8926/
Contributed by: Adam Alloul. In this Ph.D thesis three main projects are presented. In the first one the phenomenology associated with the neutralinos and charginos sector of the left-right symmetric supersymmetric model is explored. After a detailed motivation of the study and construction of such models, it is shown that these models can be easily discovered in multi-leptonic final states as ...ArticlesThu, 17 Jul 2014 10:32:50 -0600Months4Mathematica
http://library.wolfram.com/infocenter/MathSource/8925/
Contributed by: John Hendrickson. Package with a few extra astronomical / calendar / epoch features that mathematica does not have.supports multiple calendars (julian, gregorian, synodic, anomalistic) supports JDN conveniently, shows moon phase est. NEW: supports day number from 0 of any calendar too many (new/different) functions to list.conversion all-way between supported calendarssupports ...MathSource: Packages and ProgramsMon, 14 Jul 2014 10:22:44 -0600geodetic-geocentric-XYZ-equations
http://library.wolfram.com/infocenter/MathSource/8924/
Contributed by: John Hendrickson. 1) list of geocentric <> geodetic <> XYZ equations *2) quick plots using them (3d poly globe)3) wikipedia article summarizing the above4) one equation is by author of this paper. shows that using (new) geometry observation, Heiskanen and Moritz or Ferrari equations were not necessary as the problem is not inheirently recursive as they suggested. (see ...MathSource: Packages and ProgramsMon, 14 Jul 2014 10:15:19 -0600