Wolfram Library Archive: What's New
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Thousands of pages of information on Mathematica and its applicationsen-usCopyright 2016
Wolfram Research, Inc.Tue, 24 May 2016 20:08:45 -0500
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8831Mathematica LAB:Experiments oriented high school math exploring sets for creative engineering talents
http://library.wolfram.com/infocenter/Books/9461/
Contributed by: Jang hoon Lee. Even though you don't know any Mathematica commands, you can create dynamic operation using the Manipulate function on which you have programmed with Mathematica. It consists of 20 high school mathematical curriculum chapters in depth, and 60 experimental data on enrichment math program for creative mathematical exploration activitiesBooksTue, 24 May 2016 09:25:51 -0600Future Math with Mathematica
http://library.wolfram.com/infocenter/Books/9460/
Contributed by: Young Ick Kim. It introduces for Mathematica novice the recipe to deal with how to run programs, functions, Edit menu, and explains the list of the important factors that play a key role as symbolic computation.BooksTue, 24 May 2016 09:21:11 -0600Geospatial Algebraic Computations, Theory and Applications, Third Edition
http://library.wolfram.com/infocenter/Books/9459/
Contributed by: Joseph Awange, Béla Paláncz. Improved geospatial instrumentation and technology such as in laser scanning has now resulted in millions of data being collected, e.g., point clouds. It is in realization that such huge amount of data requires efficient and robust mathematical solutions that this third edition of the book extends the second edition by introducing three new chapters: ...BooksWed, 18 May 2016 11:47:20 -0600Tendencias Tecnologicas em Computacao e Informatica
http://library.wolfram.com/infocenter/Books/9458/
Contributed by: Leandro Augusto Da Silva, Valeria Farinazzo Martins, Joao Soares De Oliviera Neto. BooksWed, 18 May 2016 11:40:49 -0600The End of Error: Unum Computing
http://library.wolfram.com/infocenter/Books/9457/
Contributed by: John L. Gustafson. Written by one of the foremost experts in high-performance computing and the inventor of Gustafson's Law, The End of Error: Unum Computing explains a new approach to computer arithmetic: the universal number (unum). The unum encompasses all IEEE floating-point formats as well as fixed-point and exact integer arithmetic. This new number type obtains more accurate ...BooksWed, 18 May 2016 11:31:23 -0600Classification of Elementary Cellular Automata Up to Topological Conjugacy
http://library.wolfram.com/infocenter/Conferences/9456/
Contributed by: Jeremias Epperlein. Topological conjugacy is the natural notion of isomorphism in topological dynamics. It can be used as a very fine grained classification scheme for cellular automata. In this article, we investigate different invariants for topological conjugacy in order to distinguish between non-conjugate systems. In particular we show how to compute the cardinality of the ...Conference ProceedingsWed, 11 May 2016 16:14:55 -0600Hard Core via PCA: Entropy Bounds
http://library.wolfram.com/infocenter/Articles/9455/
Contributed by: Kari Eloranta. We establish bounds for the entropy of the Hard Core Model/Independent Sets on a few 2-d lattices. Our PCA-based sequential fill-in method yields an increasing sequence of lower bounds for the topological entropy. Additionally the procedure gives some insight on the support of the measure of maximal entropy. The method also applies to other lattices and models with ...ArticlesWed, 11 May 2016 16:12:54 -0600Computer Algebra and Symbolic Processing in Modern Telecommunication Applications:A New Kind of Survey
http://library.wolfram.com/infocenter/Articles/9454/
Contributed by: Vlastimir D. Pavlovic, Vladimir Mladenovic, Miroslav D. Lutovac. The task of the theory domain is to develop methods to solve practical problems, organizes and makes intelligible field of knowledge on which it is based. In order to solve them, it is needed to be considered as part of a logical structure, and they need to understand the structures which solve it.The main tools, ...ArticlesWed, 11 May 2016 16:09:44 -0600Voltage Multistability and Pulse Emergency Control for Distribution System With Power Flow Reversal
http://library.wolfram.com/infocenter/Articles/9453/
Contributed by: Hung D. Nguyen, Konstantin Turitsyn. High levels of penetration of distributed generation and aggressive reactive power compensation may result in the reversal of power flows in future distribution grids. The voltage stability of these operating conditions may be very different from the more traditional power consumption regime. This paper focuses on the demonstration of ...ArticlesWed, 11 May 2016 15:52:53 -0600Analytical Derivation of the Fuss Relations for Bicentric Hendecagon and Dodecagon
http://library.wolfram.com/infocenter/Articles/9452/
Contributed by: M. Orlic, Z. Kaliman. In this article we present analytical derivation of the Fuss relations for n = 11 (hendecagon) and n = 12 (dodecagon). We base our derivation on the Poncelet closure theorem for bicentric polygons, which states that if a bicentric n-gon exists on two circles then every point on the outer circle is the vertex of same bicentric n-gon. We have used Wolfram ...ArticlesWed, 11 May 2016 15:51:12 -0600Local integrand representations of all two-loop amplitudes in planar SYM
http://library.wolfram.com/infocenter/Articles/9451/
Contributed by: Jacob L. Bourjaily, Jaroslav Trnka. We use generalized unitarity at the integrand-level to directly construct local, manifestly dual-conformally invariant formulae for all two-loop scattering amplitudes in planar, maximally supersymmetric Yang-Mills theory (SYM). This representation separates contributions into manifestly finite and manifestly divergent terms - in a way that ...ArticlesWed, 11 May 2016 15:49:38 -0600Fast spectral source integration in black hole perturbation calculations
http://library.wolfram.com/infocenter/Articles/9450/
Contributed by: Seth Hopper, Erik Forseth, Thomas Osburn, Charles R. Evans. This paper presents a new technique for achieving spectral accuracy and fast computational performance in a class of black hole perturbation and gravitational self-force calculations involving extreme mass ratios and generic orbits. Called spectral source integration (SSI), this method should see widespread future use in ...ArticlesWed, 11 May 2016 15:48:06 -0600Breaking classical Lie groups to finite subgroups - an automated approach
http://library.wolfram.com/infocenter/Articles/9449/
Contributed by: Maximilian Fallbacher. The decomposition of representations of compact classical Lie groups into representations of finite sub-groups is discussed. AMATHEMATICApackage is presented that can be used to compute these branching rules using the Weyl character formula. For some low order finite groups including A4and (27)general analytical formulas are presented for the branching ...ArticlesWed, 11 May 2016 15:46:01 -0600Analysis of the Stability of Relative Equilibriums of a Prolate Axisymmetric Gyrostat by Symbolic-Numerical Modeling
http://library.wolfram.com/infocenter/Articles/9448/
Contributed by: A. V. Banshchikov, S. V. Chaikin. Applying Lyapunov's approach to the investigation of the stability of the motion according to first order approximation equations, the regions are singled out in the space of the inputed parameters where the stability, instability, or gyroscopic stabilization of relative equilibriums of a prolate axisymmetric orbital gyrostat with a constant ...ArticlesWed, 11 May 2016 15:44:31 -0600Algebraic computations of general observer quantities using Mathematica
http://library.wolfram.com/infocenter/Articles/9447/
Contributed by: A. H. Hasmani, Ravi Panchal. Mathematica program for various general observer quantities in the general theory of relativity has been developed which uses coordinate system, metric tensor and unit timelike velocity vector as input.ArticlesWed, 11 May 2016 15:42:31 -0600Vectorial Polarization Modes Platform Realized with Jones Vectors in Mathematica
http://library.wolfram.com/infocenter/Articles/9446/
Contributed by: Yong-Dae Choi, Hee-Joong Yun. The fundamental concept in physics of polarization propagation of electromagnetic waves is newly understood to be a cardinal keyword in quantum cryptography transport technology and the Standard Model. Interactive visualization of the propagation mechanism of polarized electromagnetism in a medium with its helicity has received attention recently from ...ArticlesWed, 11 May 2016 15:40:09 -0600Global Chaos Synchronization of New Chaotic System using Linear Active Control
http://library.wolfram.com/infocenter/Articles/9445/
Contributed by: ISRAR AHMAD, AZIZAN BIN SAABAN, ADYDA BINTI IBRAHIM, MOHAMMAD SHAHZAD. Chaos synchronization is a procedure where one chaotic oscillator is forced to adjust the properties of another chaotic oscillator for all future states. This research paper studies and investigates the global chaos synchronization problem of two identical chaotic systems and two non-identical chaotic systems ...ArticlesWed, 11 May 2016 15:38:20 -0600Correction of Gravimetric Geoid Using Symbolic Regression
http://library.wolfram.com/infocenter/Articles/9444/
Contributed by: Béla Paláncz, Joseph Awange, Lajos Völgyesi. In this study, the problem of geoid correction based on GPS ellipsoidal height measurements is solved via symbolic regression (SR). In this case, when the quality of the approximation is overriding, SR employing Keijzer expansion to generate initial trial function population can supersede traditional techniques, such as parametric ...ArticlesWed, 11 May 2016 15:36:13 -0600Automatic implementation of the numerical Taylor series method:A Mathematica and Sage approach
http://library.wolfram.com/infocenter/Articles/9443/
Contributed by: A. Abad, R. Barrio, M. Marco-Buzunariz, M. Rodríguez. In the last few years, the requirements in the numerical solution of ordinary differential equations in physics and in dynamical systems have pointed to new kind of methods capable to maintain geometric properties of the equations, or looking for high-precision, or solving variational equations. One method that can solve most ...ArticlesWed, 11 May 2016 15:33:45 -0600Dynamic behavior of pipes conveying gas-liquid two-phase flow
http://library.wolfram.com/infocenter/Articles/9442/
Contributed by: Chen An, Jian Su. In this paper, the dynamic behavior of pipes conveying gas-liquid two-phase flow was analytically andnumerically investigated on the basis of the generalized integral transform technique (GITT). The use ofthe GITT approach in the analysis of the transverse vibration equation lead to a coupled system of secondorder differential equations in the dimensionless ...ArticlesWed, 11 May 2016 15:30:35 -0600Designing and building a permanent magnet Zeeman slower for calcium atoms using a 3D printer
http://library.wolfram.com/infocenter/Articles/9441/
Contributed by: Alexandria Parsagian, Michaela Kleinert. We present the design of a Zeeman slower for calcium atoms using permanent magnets instead of more traditional electromagnets and the novel technique of 3D printing to create a very robust and flexible structure for these magnets. Zeeman slowers are ideal tools to slow atoms from several hundreds of meters per second to just a few tens of ...ArticlesWed, 11 May 2016 15:29:04 -0600Quantum spectral curve as a tool for a perturbative quantum field theory
http://library.wolfram.com/infocenter/Articles/9440/
Contributed by: Christian Marboe, Dmytro Volin. An iterative procedure perturbatively solving the quantum spectral curve of planar N=4SYM for any operator in the sl(2) sector is presented. AMathematicanotebook executing this procedure is enclosed. The obtained results include 10-loop computations of the conformal dimensions of more than ten different operators. We prove that the conformal ...ArticlesWed, 11 May 2016 15:24:02 -0600On the complex structures of Kundu-Eckhaus equation via improved Bernoulli sub-equation function method
http://library.wolfram.com/infocenter/Articles/9439/
Contributed by: Haci Mehmet Baskonus, Hasan Bulut. In this study, we obtain some new complex analytical solutions to the Kundu-Eckhaus equation which seems in the quantum field theory, weakly nonlinear dispersive water waves and nonlinear optics using improved Bernoulli sub-equation function method. After we have mentioned the general structure of improved Bernoulli sub-equation function method, ...ArticlesWed, 11 May 2016 15:22:33 -0600Analytical studies on the (1 + 1)- dimensional nonlinear Dispersive Modified Benjamin-Bona-Mahony equation defined by seismic sea waves
http://library.wolfram.com/infocenter/Articles/9438/
Contributed by: Haci Mehmet Baskonus, Hasan Bulut. In this study, we have studied to obtain some new analytical solutions to the (1 + 1)-dimensional nonlinear Dispersive Modified Benjamin- Bona-Mahony equation by using modified exp-function method. We have submitted the general structure of modified exp-function method. We have founded some new analytical solutions such as hyperbolic and rational ...ArticlesWed, 11 May 2016 15:21:09 -060012 loops and triple wrapping in ABJM theory from integrability
http://library.wolfram.com/infocenter/Articles/9437/
Contributed by: Lorenzo Anselmetti, Diego Bombardelli, Andrea Cavagli`, Roberto Tateo. Adapting a method recently proposed by C. Marboe and D. Volin for N=4 super-Yang-Mills, we develop an algorithm for a systematic weak coupling expansion of the spectrum of anomalous dimensions in the sl(2)-like sector of planar N=6 super-Chern- Simons. The method relies on the Quantum Spectral Curve formulation ...ArticlesWed, 11 May 2016 15:18:48 -0600BEST DB Editor
http://library.wolfram.com/infocenter/TechNotes/9436/
Contributed by: Ariel Sepúlveda. BEST DB Editor is a multi-platform database editor designed to preserve data quality by avoiding common data entry mistakes while efficiently automating common data entry processes.BEST DB Editor 10 requires Mathematica 10 or CDF Player 10 and is available for Windows and Mac.Technical NotesTue, 10 May 2016 16:27:58 -0600Getting Started with Wolfram Language and Mathematica for Raspberry Pi
http://library.wolfram.com/infocenter/Books/9435/
Contributed by: Agus Kurniawan. Raspberry Pi with Raspbian OS has built-in Wolfram Language and Mathematica. This book for Kindle helps you to get started with Wolfram Mathematica programming in Raspberry Pi environment. The following is highlight topic in this book: * Preparing Development Environment * Essentials of Wolfram and Mathematica Programming Language * Computational Mathematics * GPIO ...BooksThu, 05 May 2016 15:37:27 -0600Boundary Integral Equation Methods and Numerical Solutions: Thin Plates on an Elastic Foundation
http://library.wolfram.com/infocenter/Books/9434/
Contributed by: Christian Constanda, Dale Doty, William Hamill. This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation. The solutions of these problems are obtained both analytically―by means of direct and indirect boundary integral ...BooksWed, 04 May 2016 16:50:01 -0600Micromechanics with Mathematica
http://library.wolfram.com/infocenter/Books/9433/
Contributed by: Seiichi Nomura. Demonstrates the simplicity and effectiveness of Mathematica as the solution to practical problems in composite materials. Designed for those who need to learn how micromechanical approaches can help understand the behaviour of bodies with voids, inclusions, defects, this book is perfect for readers without a programming background. Thoroughly introducing the ...BooksWed, 04 May 2016 16:44:58 -0600Explorations in Complex Analysis
http://library.wolfram.com/infocenter/Books/9432/
Contributed by: Michael A. Brilleslyper, Michael J. Dorff, Jane M. McDougall, James S. Rolf, Lisbeth E. Schaubroeck, Richard L. Stankewitz, Kenneth Stephenson. This book is written for mathematics students who have encountered basic complex analysis and want to explore more advanced project and/or research topics. It could be used as (a) a supplement for a standard undergraduate complex analysis ...BooksWed, 04 May 2016 16:39:48 -0600Methoden der Bioinformatik: Eine Einführung zur Anwendung in Biologie und Medizin, 2 Auflage
http://library.wolfram.com/infocenter/Books/9431/
Contributed by: Marc-Thorsten Hütt, Manuel Dehnert. The authors provide an introduction from mathematical foundations to the concrete methods of bioinformatics. The book addresses all those who wish to apply bioinformatic methods and software packages beyond seeing them as 'Black Boxes'. A special feature is the step-by-step implementation of important bioinformatics algorithms in the ...BooksWed, 04 May 2016 16:32:12 -0600multiBondPlot: Plotting organic molecules
http://library.wolfram.com/infocenter/MathSource/9430/
Contributed by: Bianca Eifert. Organic molecules can have single, double or triple bonds between atoms. The multiBondPlot function uses the bond multiplicity as found in ChemicalData[] or in a MOL file, and returns a 3D plot of the molecule with multiple bonds.MathSource: Packages and ProgramsWed, 04 May 2016 10:45:10 -0600Mathematica Basic Training Course
http://library.wolfram.com/infocenter/Books/9429/
Contributed by: Hanlong Li, Ying Sui, Shuxian Miu, Ting Han. Mathematica is a famous mathematical software in the world. 'Mathematica basic training course' was written based on the latest version 10.0. By a large selection of examples, it explains the basic functions of Mathematica's symbolic computation, graphics, high-precision calculations, program design and so on. It introduces the ...BooksTue, 03 May 2016 13:47:16 -0600Mathematica-Based Digital Physics
http://library.wolfram.com/infocenter/Books/9428/
Contributed by: Junqin Jiang. The digital physics based on Mathematica' has four chapters, including electric fields, magnetic fields, numerical solution and trajectory of dynamics differential equation, and quantum mechanics. In addition, it has two appendices. The research methods and programming design ideas in many examples have important teaching and academic value. The readers can master ...BooksTue, 03 May 2016 09:51:52 -0600Toolbox for Mathematics, Mathematica Basic
http://library.wolfram.com/infocenter/Books/9427/
Contributed by: Etsuo Miyaoka. Mathematica is a very powerful software that is widely used in manufacturers, research institutes, and universities as their definitive computing system, as well as by individuals. This book illustrates how Mathematica deals with what students learned at the high school and the beginning college levels of mathematics, by comparing the mathematical expressions and ...BooksFri, 29 Apr 2016 10:51:13 -0600Income Support Benefits Law (augmented edition)
http://library.wolfram.com/infocenter/Books/9426/
Contributed by: Konosuke KIMURA. Mathematica is used to create the programs, graphs, and visualizations for: * combining income tax and social security * linear graduated tax table * Pareto index to indicate the income gap * calculating income tax revenue and annual expenditure for income support benefitsBooksFri, 29 Apr 2016 10:44:23 -0600Basic Mathematica Primer
http://library.wolfram.com/infocenter/Books/9425/
Contributed by: Seong-Deog Yang, Jang hoon Lee, Jiwon Hwang, Chae Yeong Lee, Myeong Hwan An. Fundamental Introduction to Mathematica. Rich source code that you can easily try along with friendly instructions for novices, summarized the basic knowledge of mathematics systematically.BooksFri, 29 Apr 2016 10:35:41 -0600Angular Fock coefficients: Refinement and further development
http://library.wolfram.com/infocenter/Articles/9424/
Contributed by: Evgeny Z. Liverts, Nir Barnea. The angular coefficients ψk,p(α,θ) of the Fock expansion characterizing the S-state wave function of the two-electron atomic system are calculated in hyperspherical angular coordinates α and θ. To solve the problem the Fock recurrence relations separated into the independent individual equations associated with definite power ...ArticlesTue, 26 Apr 2016 16:02:19 -0600A Simple Quantum Integro-Differential Solver (SQuIDS)
http://library.wolfram.com/infocenter/Articles/9423/
Contributed by: Carlos A. Argüelles Delgado, J. Salvador, Christopher N. Weaver. Simple Quantum Integro-Differential Solver (SQuIDS) is a C++ code designed to solve semi-analytically the evolution of a set of density matrices and scalar functions. This is done efficiently by expressing all operators in an SU(N) basis. SQuIDS provides a base class from which users can derive new classes to include ...ArticlesTue, 26 Apr 2016 16:00:40 -0600SecDec-3.0: Numerical evaluation of multi-scale integrals beyond one loop
http://library.wolfram.com/infocenter/Articles/9422/
Contributed by: Sophia Borowkaa, Gudrun Heinrich, S. P. Jones, M. Kerner, J. Schlenk, T. Zirke. SecDec is a program which can be used for the factorization of dimensionally regulated poles from parametric integrals, in particular multi-loop integrals, and the subsequent numerical evaluation of the finite coefficients. Here we present version 3.0 of the program, which has major improvements ...ArticlesTue, 26 Apr 2016 15:57:19 -0600Maximal noiseless code rates for collective rotation channels on qudits
http://library.wolfram.com/infocenter/Articles/9421/
Contributed by: Chi-Kwong Li, Mikio Nakahara, Yiu-Tung Poon, Nung-Sing Sze. We study noiseless subsystems on collective rotation channels of qudits, i.e., quantum channels with operators in the set E(d, n) = {U⊗n : U ∈ SU(d)}. This is done by analyzing the decomposition of the algebra A(d, n) generated by E(d, n). We summarize the results for the channels on qubits (d = 2) and obtain ...ArticlesTue, 26 Apr 2016 15:52:32 -0600Experimental and Theoretical Study of Multicomponent Batch Distillation
http://library.wolfram.com/infocenter/Articles/9420/
Contributed by: Housam Binous, Mamdouh A Al-Harthi, Ahmed Bellagi. We present in this pedagogical paper several important aspects of multi-component batch distillation. These later include: (1) Experimental implementation and results of a simple multi-component batch distillation; (2) Theoretical prediction of temperature and composition evolution with time; and (3) Liquid-vapor equilibrium ...ArticlesTue, 26 Apr 2016 15:50:05 -0600MBsums - A Mathematica PACKAGE FOR THE REPRESENTATION OF MELLIN-BARNES INTEGRALS BY MULTIPLE SUMS
http://library.wolfram.com/infocenter/Articles/9419/
Contributed by: Michal Ochman, Tord Riemann. Feynman integrals may be represented by the Mathematica packages AMBRE and MB as multiple Mellin-Barnes integrals. With the Mathematica package MBsums we transform these Mellin-Barnes integrals into multiple sums.ArticlesTue, 26 Apr 2016 15:47:59 -0600Pedagogical View of Model Metabolic Cycles
http://library.wolfram.com/infocenter/Articles/9418/
Contributed by: Victor Garcia-Herrero, Antonio Sillero. The main purpose of this study was to present a simplified view of model metabolic cycles. Although the models have been elaborated with the Mathematica Program, and using a system of differential equations, the main conclusions were presented in a rather intuitive way, easily understandable by students of general courses of Biochemistry, ...ArticlesTue, 26 Apr 2016 15:44:40 -0600On the collinear point L3 in the generalized relativistic R3BP
http://library.wolfram.com/infocenter/Articles/9417/
Contributed by: F.A. Abd El-Salam, S.E. Abd El-Bar. The photogravitational oblate restricted three-body problem is carried out within the post- Newtonian framework. The primaries are assumed to be oblate as well as radiant sources. The perturbed location of the collinear point L3 is computed. A series form of L3 location is obtained as a new analytical results. In order to introduce a ...ArticlesTue, 26 Apr 2016 15:43:01 -0600Computing decay rates for new physics theories with FeynRules and MadGraph 5_aMC@NLO
http://library.wolfram.com/infocenter/Articles/9416/
Contributed by: Johan Alwall, Claude Duhr, Benjamin Fuks, Olivier Mattelaer, Deniz Gizem Öztürk, Chia-Hsien Shen. We present new features of the FeynRules and MadGraph 5_aMC@NLO programs for the automatic computation of decay widths that consistently include channels of arbitrary final-state multiplicity. The implementations are generic enough so that they can be used in the framework of any ...ArticlesTue, 26 Apr 2016 15:31:37 -0600Package-X: A Mathematica package for the analytic calculation of one-loop integrals
http://library.wolfram.com/infocenter/Articles/9415/
Contributed by: Hiren H. Patel. Package-X, a Mathematica package for the analytic computation of one-loop integrals dimensionally regulated near 4 spacetime dimensions is described. Package-X computes arbitrarily high rank tensor integrals with up to three propagators, and gives compact expressions of UV divergent, IR divergent, and finite parts for any kinematic configuration involving ...ArticlesTue, 26 Apr 2016 15:29:06 -0600Automatic evaluation of UV and R2 terms for beyond the Standard Model Lagrangians: A proof-of-principle
http://library.wolfram.com/infocenter/Articles/9414/
Contributed by: Celine Degrande. The computation of renormalized one-loop amplitudes in quantum field theory requires not only the knowledge of the Lagrangian density and the corresponding Feynman rules, but also that of the ultraviolet counterterms. More in general, and depending also on the method used in the actual computation of the one-loop amplitudes, additional interactions might be ...ArticlesTue, 26 Apr 2016 15:24:21 -0600Datum Planes Based on a Constrained L1 Norm
http://library.wolfram.com/infocenter/Articles/9412/
Contributed by: Craig M. Shakarji, Vijay Srinivasan. This paper has two major goals. First, we present an algorithm for establishing planar datums suitable for a default in tolerancing standards. The algorithm is based on a constrained minimization search based on the L1 (L1) norm after forming a convex surface from the original surface or sampled points. We prove that the problem reduces to a ...ArticlesTue, 26 Apr 2016 15:20:06 -0600NMR of 133Cs+ in stretched hydrogels: One-dimensional, z- and NOESY spectra, and probing the ion's environment in erythrocytes
http://library.wolfram.com/infocenter/Articles/9411/
Contributed by: Philip W. Kuchel, Dmitry Shishmarev, Max Puckeridge, Malcolm H. Levitt, Christoph Naumann, B. E. Chapman. 133Cs nuclear magnetic resonance (NMR) spectroscopy was conducted on 133Cs+ in gelatin hydrogels that were either relaxed or stretched. Stretching generated a septet from this spin-7/2 nucleus, and its nuclear magnetic relaxation was studied via z-spectra, and two-dimensional ...ArticlesTue, 26 Apr 2016 15:15:24 -0600On the Complex and Hyperbolic Structures for the (2 + 1)-Dimensional Boussinesq Water Equation
http://library.wolfram.com/infocenter/Articles/9410/
Contributed by: Figen Özpinar, Haci Mehmet Baskonus, Hasan Bulut. In this study, we have applied the modified exppWpqq-expansion function method to the (2 + 1)-dimensional Boussinesq water equation. We have obtained some new analytical solutions such as exponential function, complex function and hyperbolic function solutions. It has been observed that all analytical solutions have been verified ...ArticlesTue, 26 Apr 2016 15:01:56 -0600On the optimal use of isotherm models for the characterization of biosorption of lead onto algae
http://library.wolfram.com/infocenter/Articles/9409/
Contributed by: F. Brouers, Tariq J. Al-Musawi. For the first time we apply a new method based on the mathematical derivation of some known isotherm from the Burr function which describes many birth-death (sorption-desorption) phenomena in ecology and economy. Therefore, in this study the experimental isotherm data of biosorption of Pb(II) onto algae was modeled to Langmuir, Hill-Sips, ...ArticlesTue, 26 Apr 2016 14:57:13 -0600Computing observables in curved multifield models of inflation | A guide (with code) to the transport method
http://library.wolfram.com/infocenter/Articles/9408/
Contributed by: Mafalda Dias, Jonathan Frazer, David Seery. We describe how to apply the transport method to compute in inflationary observables in a broad range of multiple-field models. The method is efficient and encompasses scenarios with curved field-space metrics, violations of slow-roll conditions and turns of the trajectory in field space. It can be used for an arbitrary mass spectrum, ...ArticlesTue, 26 Apr 2016 14:55:22 -0600Effect of slip on Herschel-Bulkley fluid flow through narrow tubes
http://library.wolfram.com/infocenter/Articles/9407/
Contributed by: Nallapu Santhosh, G. Radhakrishnamacharya, Ali J. Chamkha. A two-fluid model of Herschel-Bulkley fluid flow through tubes of small diameters and slip at the wall is studied. It is assumed that the core region consists of Herschel-Bulkley fluid and Newtonian fluid in the peripheral region. Following the analysis of Chaturani and Upadhya, the equations of motion have been linearized ...ArticlesTue, 26 Apr 2016 14:50:40 -0600