Wolfram Library Archive: What's New
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Thousands of pages of information on Mathematica and its applicationsen-usCopyright 2014
Wolfram Research, Inc.Fri, 25 Apr 2014 02:52:52 -0500
infocenter@wolfram.comwebmaster@wolfram.comWolfram Library Archive: What's Newhttp://library.wolfram.com/images/database/rss_logo.gif
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8831Locking-free compressible quadrilateral finite elements: Poisson's ratio-dependent vector interpolants
http://library.wolfram.com/infocenter/Articles/8870/
Contributed by: Gautam Dasgupta. In any high-quality viscoplastic calculation, the objectivity related to shape and constitutive parameter indifference is desirable, especially when a continuous deformation into concavity is tracked. In the physical x−y frame, quadratic displacement vectors-explicitly coupled via Poisson's ratio-encompass bar and Euler-Bernoulli beam modes. Analytically, ...ArticlesFri, 18 Apr 2014 11:37:04 -0600Symbolic computation of the Moore-Penrose inverse using the LDL∗ decomposition of the polynomial matrix
http://library.wolfram.com/infocenter/Articles/8869/
Contributed by: Milan B. Tasi´c, Ivan P. Stanimirovi´c. The full-rank LDL∗ decomposition of a polynomial Hermitian matrix is examined. Explicit formulae are given evaluating the coefficients of matrices lij and djj. Also, a new method is developed, based on the LDL∗ factorization of the matrix product A∗A, for symbolic computation of the Moore-Penrose inverse matrix. The paper ...ArticlesFri, 18 Apr 2014 11:33:51 -0600Peristaltic motion of third grade fluid in curved channel
http://library.wolfram.com/infocenter/Articles/8868/
Contributed by: S. Hina, M. Mustafa, T. Hayat, F. E. ALSAADI. Analysis is performed to study the slip effects on the peristaltic flow of non-Newtonian fluid in a curved channel with wall properties. The resulting nonlinear partial differential equations are transformed to a single ordinary differential equation in a stream function by using the assumptions of long wavelength and low Reynolds ...ArticlesFri, 18 Apr 2014 11:22:30 -0600SYNTHESIS OF SLOT AERIAL GRIDS WITH HAUSDORFF-TYPE DIRECTIVE PATTERNS { IMPLEMENTATION IN PROGRAMMING ENVIRONMENT MATHEMATICA
http://library.wolfram.com/infocenter/Articles/8867/
Contributed by: Nikolay Kyurkchiev, Andrey Andreev. In this paper a procedure for synthesis of aerial grids with Hausdor-type directive patterns is given. Software implementation of algorithm in MATHE- MATICA package and numerical examples are presented.ArticlesFri, 18 Apr 2014 11:18:37 -0600MT: A Mathematica package to compute convolutions
http://library.wolfram.com/infocenter/Articles/8866/
Contributed by: Maik Höschele, Jens Hoff, Alexey Pak, Matthias Steinhauser, Takahiro Ueda. We introduce the Mathematica package MT which can be used to compute, both analytically and numerically, convolutions involving harmonic polylogarithms, polynomials or generalized functions. As applications contributions to next-to-next-to-next-to leading order Higgs boson production and the Drell-Yan ...ArticlesFri, 18 Apr 2014 10:42:00 -0600Radiation properties of a uniaxial chiral quadratic inhomogeneous slab under oblique incidence
http://library.wolfram.com/infocenter/Articles/8865/
Contributed by: Abdul Ghaffar, Muhammad Arif, Qaisar Abbas Naqvi, Majeed A. Alkanhal. In this paper, the focussing of the transmitted electromagnetic field through a quadric inhomogeneous slab of lossless uniaxial chiral medium is derived using transmission coefficient under oblique incidence. The inhomogeneity in the uniaxial chiral slab has been incorporated through permittivity parameter. ...ArticlesFri, 18 Apr 2014 10:38:20 -0600SOME REMARKS ON NON-PLANAR FEYNMAN DIAGRAMS
http://library.wolfram.com/infocenter/Articles/8864/
Contributed by: Krzysztof Bielas, Ievgen Dubovyk, Janusz Gluza, Tord Riemann. Two criteria for planarity of a Feynman diagram upon its propagators (momentum flows) are presented. Instructive Mathematica programs that solve the problem and examples are provided. A simple geometric argument is used to show that while one can planarize non-planar graphs by embedding them on higher-genus surfaces (in ...ArticlesFri, 18 Apr 2014 10:32:43 -0600VIRTUAL CORRECTIONS TO THE NLO SPLITTING FUNCTIONS FOR MONTE CARLO: THE NON-SINGLET CASE
http://library.wolfram.com/infocenter/Articles/8863/
Contributed by: O. Gituliar, S. Jadach, A. Kusina, M. Skrzypek. Construction of a QCD cascade at the NLO level requires recalculation of the splitting functions in a different manner. We describe the calculation of some of the virtual contributions to the non-singlet splitting function. In order to be compatible with the earlier calculated real contributions, the principal value prescription for ...ArticlesWed, 02 Apr 2014 12:36:55 -0600A martian case study of segmenting images automatically for granulometry and sedimentology, Part 2: Assessment
http://library.wolfram.com/infocenter/Articles/8862/
Contributed by: Suniti Karunatillake, Scott M. McLennan, Kenneth E. Herkenhoff, Jonathan M. Husch, Craig Hardgrove, J.R. Skok. In a companion work, we bridge the gap between mature segmentation software used in terrestrial sedimentology and emergent planetary segmentation with an original algorithm optimized to segment whole images from the Microscopic Imager (MI) of the Mars Exploration Rovers ...ArticlesWed, 02 Apr 2014 12:31:37 -0600Adjoint Polynomial Formulas for Nonlinear State-Space Realization
http://library.wolfram.com/infocenter/Articles/8861/
Contributed by: Juri Belikov, Ülle Kotta, Maris Tõnsoa. This paper focuses on computational aspects of the realization of nonlinear multi-input multi-output systems. Instead of the algorithmic solutions, provided in earlier works, the explicit formulas are presented, which enable to compute the differentials of the state coordinates directly from the polynomial description of the nonlinear ...ArticlesWed, 02 Apr 2014 12:26:34 -0600Analytical formulas for shear and bulk viscosities in relativistic gaseous mixtures with constant cross sections
http://library.wolfram.com/infocenter/Articles/8860/
Contributed by: Oleg Moroz. Using Mathematica package, we derive analytical closed-form expressions for the shear and the bulk viscosity coefficients in multicomponent relativistic gases with constant cross sections, being the relativistic generalization for the hard spheres model. Some of them are cumbersome and require symbolic manipulations in an algebraic package. The constant cross sections ...ArticlesWed, 02 Apr 2014 12:23:42 -0600LEM for twisted re-entrant angle sections
http://library.wolfram.com/infocenter/Articles/8859/
Contributed by: Antonina Pirrotta. In this paper an innovative numerical method named as line element-less method, LEM, for finding solution of torsion problem has been extended to all shaped sections, including sections possessing re-entrant angles at their boundary. The response solution in terms of shear stress field or Prandtl function or warping function in all domain and for any kind of ...ArticlesWed, 02 Apr 2014 12:21:34 -0600Computer algebra systems coming of age: Dynamic simulation andoptimization of DAE systems in Mathematica
http://library.wolfram.com/infocenter/Articles/8858/
Contributed by: A K. W. Navarro, V.S. Vassiliadis. In this article, DAEparser and SQPsolver, new Computer Algebra System packages specialized in Differential-Algebraic Equations for Mathematica are presented. These packages joint capabilities for dynamical system analysis, simulation and dynamic optimization through the direct sequential approach are presented with examples and case studies ...ArticlesWed, 02 Apr 2014 12:17:51 -0600Understanding the Singlet and Triplet States in Magnetic Resonance
http://library.wolfram.com/infocenter/Articles/8857/
Contributed by: KAZ NAGASHIMA, S. SENDHIL VELAN. Long-lived spin states of magnetic resonance can extend the coherence of magnetic moments beyond the time scale defined by the spin-lattice relaxation time, T1, which was once believed to be an unchangeable limit of the life span. The characteristic of this relatively new finding is the formation of an antisymmetric energy state in a coupled spin ...ArticlesWed, 02 Apr 2014 12:13:46 -0600Combined Effects of Thermophoresis and Chemical Reaction on Magnetohydrodynamics Mixed Convection Flow
http://library.wolfram.com/infocenter/Articles/8856/
Contributed by: P. K. Kunda, K. Das, S. Jana. The steady two-dimensional MHD mixed convective heat and mass transfer flow of a viscous incompressible electrically conducting second grade fluid past a semi-infinite stretching sheet in the presence of thermal radiation with chemical reaction and thermophoresis is analyzed numerically. Similarity solutions for the transformed governing equations are ...ArticlesWed, 02 Apr 2014 12:08:42 -0600A Mathematica interface to NNPDFs
http://library.wolfram.com/infocenter/Articles/8855/
Contributed by: Nathan P. Hartland, Emanuele R. Nocera. We present a Mathematica interface for handling the parton distribution functions of the NNDPF Collaboration, available from the NNPDF hepforge website http://nnpdf.hepforge.org/. As a case study we briefly summarise the first PDF set which includes all relevant LHC data, NNPDF2.3, and demonstrate the use of our new Mathematica interface.ArticlesWed, 02 Apr 2014 12:04:32 -0600A model for incorporating computation without changing the course: An example from middle-division classical mechanics
http://library.wolfram.com/infocenter/Articles/8854/
Contributed by: Marcos D. Caballero, Steven J. Pollock. Although much of the research done by modern physicists would be impossible without the use of computers, today's physics curricula do not generally reflect their importance and utility. To more tightly connect undergraduate preparation with professional practice, we integrated computational instruction into middle-division classical ...ArticlesWed, 02 Apr 2014 11:57:52 -0600Practical Linear Algebra, A Geometry Toolbox, third edition
http://library.wolfram.com/infocenter/Books/8853/
Contributed by: Gerald Farin, Dianne Hansford. Through many examples and real-world applications, Practical Linear Algebra: A Geometry Toolbox, Third Edition teaches undergraduate-level linear algebra in a comprehensive, geometric, and algorithmic way. Designed for a one-semester linear algebra course at the undergraduate level, the book gives instructors the option of tailoring the course for ...BooksWed, 02 Apr 2014 10:37:48 -0600Updating webplot which shows baseline
http://library.wolfram.com/infocenter/MathSource/8852/
Contributed by: Raja Kountanya. I was looking for a way to show a 'web' plot, that is, a plot which shows the change of 5 variables with changes in 3 variables. I also wanted to show the baseline and the updated plot in one place in an interactive Manipulate. Of course, I would need to turn ContinuousAction->False so that the baseline does not update on the fly. The trick was to use a dummy ...MathSource: Packages and ProgramsTue, 01 Apr 2014 15:23:21 -0600