Wolfram Library Archive: What's New
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Thousands of pages of information on Mathematica and its applicationsen-usCopyright 2017
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infocenter@wolfram.comwebmaster@wolfram.comWolfram Library Archive: What's Newhttp://library.wolfram.com/images/database/rss_logo.gif
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8831A mathematical method for precisely calculating the radiographic angles of the cup after total hip arthroplasty
http://library.wolfram.com/infocenter/Articles/9694/
Contributed by: Jing-Xin Zhao, Xiu-Yun Su, Ruo-Xiu Xiao, Zhe Zhao, Li-Hai Zhang, Li-Cheng Zhang, Pei-Fu Tang. We established a mathematical method to precisely calculate the radiographic anteversion (RA) and ra- diographic inclination (RI) angles of the acetabular cup based on anterior-posterior (AP) pelvic radio- graphs after total hip arthroplasty. Using Mathematica software, a mathematical ...ArticlesThu, 21 Sep 2017 11:37:52 -0600Optimization of maca (Lepidium meyenii) glucosinolates extraction by genetic algorithms and response surface
http://library.wolfram.com/infocenter/Articles/9693/
Contributed by: Víctor Vásquez-Villalobos, Carmen Rojas-Padilla, Julio Rojas-Naccha, Orlando Hernández-Bracamonte, Julia Vásquez-Angulo, Omar Barreto-Alama. The aim this work was to compare the extraction process optimization of total glucosinolates of maca flour (Lepidium meyenii) (ETGMF) using RS for Box-Behnken (RSBB) Design with that of GA, according to x1: temperature (°C), x2: ethanol (%), ...ArticlesThu, 21 Sep 2017 11:35:52 -0600An Exploratory Study to Detect Ménière's Disease in Conventional MRI Scans Using Radiomics
http://library.wolfram.com/infocenter/Articles/9692/
Contributed by: Elske Larissa van den Burg, Marc van Hoof, A. A. Postma, Anna Maria Louisa Janssen, Robert Jan Stokroos, H. Kindma, R. van de Berg. Objective: The purpose of this exploratory study was to investigate whether a quantitative image analysis of the labyrinth in conventional magnetic resonance imaging (MRI) scans using a radiomics approach showed differences between patients with ...ArticlesThu, 21 Sep 2017 11:33:05 -0600Precision tools and models to narrow in on the 750 GeV diphoton resonance
http://library.wolfram.com/infocenter/Articles/9691/
Contributed by: Florian Staub, Peter Athron, Lorenzo Basso, Mark D. Goodsellf, Dylan Harries, Manuel E. Krauss, Kilian Nickel, Toby Opferkuch, Lorenzo Ubaldi, Avelino Vicente, Alexander Voigt. The hints for a new resonance at 750 GeV from ATLAS and CMS have triggered a significant amount of attention. Since the simplest extensions of the standard model cannot accommodate the observation, many ...ArticlesThu, 21 Sep 2017 11:29:25 -0600New developments in FeynCalc 9.0
http://library.wolfram.com/infocenter/Articles/9690/
Contributed by: Vladyslav Shtabovenko, Rolf Mertig, Frederik Orellana. In this note we report on the new version of FeynCalc, a Mathematica package for symbolic semiautomatic evaluation of Feynman diagrams and algebraic expressions in quantum field theory. The main features of version 9.0 are: improved tensor reduction and partial fractioning of loop integrals, new functions for using FeynCalc ...ArticlesThu, 21 Sep 2017 11:25:54 -0600Identical synchronization of a non‑autonomous unified chaotic system with continuous periodic switch
http://library.wolfram.com/infocenter/Articles/9689/
Contributed by: Behnaz Koocheck Shooshtari, AbdolMohammad Forouzanfar, MohammadReza Molaei. In this article a non-autonomous unified chaotic system with continuous periodic switch between the Chen and Lorenz systems is introduced. Dynamical behaviors of this system are investigated. We consider the identical (complete) synchronization of the bi-directionally coupled between two identical systems ...ArticlesThu, 21 Sep 2017 11:24:40 -0600On an application of symbolic computation and computer graphics to root-finders: The case of multiple roots of unknown multiplicity
http://library.wolfram.com/infocenter/Articles/9688/
Contributed by: Ivan Petković, Beny Neta. The contemporary powerful mathematical software enables a new approach to handling and manipulating complex mathematical expressions and other mathematical objects. Particularly, the use of symbolic computation leads to new contribution to constructing and analyzing numerical algorithms for solving very difficult problems in applied mathematics and ...ArticlesThu, 21 Sep 2017 11:22:21 -0600Grouping discontinuities in representative sets: influence on the stability analysis of slope cuts
http://library.wolfram.com/infocenter/Articles/9687/
Contributed by: A. T. Nguyen, V. Merrien-Soukatchoff, M. Vinches, M. Gasc-Barbier. Based on their orientation, different methods of grouping discontinuities in sets can be used; thus, three grouping methods and their influence on subsequent stability analyses are compared in this study. The first method combines the approaches of Priest, Shanley, Mathab and Yegulalp; the second method consists of ...ArticlesThu, 21 Sep 2017 11:21:14 -0600MathIOmica: An Integrative Platform for Dynamic Omics
http://library.wolfram.com/infocenter/Articles/9686/
Contributed by: G. I. Mias, Tahir Yusufaly, R. Roushangar, Lavida R. K. Brooks, Vikas V. Singh, Christina Christou. Multiple omics data are rapidly becoming available, necessitating the use of new methods to integrate different technologies and interpret the results arising from multimodal assaying. The MathIOmica package for Mathematica provides one of the first extensive introductions to the ...ArticlesThu, 21 Sep 2017 11:19:11 -0600Nonlinear dynamics modeling and simulation of two-wheeled self-balancing vehicle
http://library.wolfram.com/infocenter/Articles/9685/
Contributed by: Yunping Liu, Xijie Huang, Tianmiao Wang, Yonghong Zhang, Xianying Li. Two-wheeled self-balancing vehicle system is a kind of naturally unstable underactuated system with high-rank unstable multivariable strongly coupling complicated dynamic nonlinear property. Nonlinear dynamics modeling and simulation, as a basis of two-wheeled self-balancing vehicle dynamics research, has the ...ArticlesThu, 21 Sep 2017 11:15:13 -0600Motion Polynomials and Planar Linkages
http://library.wolfram.com/infocenter/Articles/9684/
Contributed by: Christoph Koutschan. We present the Mathematica package PlanarLinkages, which provides commands for constructing and visualizing planar linkages that draw a prescribed algebraic curve of genus 0, or more generally, that follow a prescribed rational motion. Since the implemented algorithms are heavily based on the concept of motion polynomials, the functionality of the package also ...ArticlesThu, 21 Sep 2017 11:13:20 -0600Vectorial Platform for Manipulating the Polarization Mode Train Realized with Jones Vectors in Mathematica
http://library.wolfram.com/infocenter/Articles/9683/
Contributed by: Taw Wan Kim, Hee-Joong Yun. A fundamental concept in physics of polarization propagation of electromagnetic waves is newly understood as a cardinal keyword in quantum cryptography transport technology and cosmology. Recently, interactive visualization of the propagation mechanism of polarized electromagnetism in a medium with helicity has received attention from scientists in the ...ArticlesThu, 21 Sep 2017 11:11:54 -0600A morphology-based method for the diagnosis of red blood cells parasitized by Plasmodium malariae and Plasmodium ovale
http://library.wolfram.com/infocenter/Articles/9682/
Contributed by: lireza Karimi, Mahdi Navidbakhsh, Afsaneh Motevalli Haghi, Shahab Faghihi. Background: The morphology of red blood cells (RBCs) is altered significantly during the maturation stages of malaria parasites, which include ring, trophozoite, and schizont. There is dissimilarity in terms of the morphological characteristics of parasitized RBCs infected by the 4 species of Plasmodium, ...ArticlesThu, 21 Sep 2017 11:10:42 -0600Portraying the Effect of Calcium-Binding Proteins on Cytosolic Calcium Concentration Distribution Fractionally in Nerve Cells
http://library.wolfram.com/infocenter/Articles/9681/
Contributed by: Brajesh Kumar Jha, Hardik Joshi, Devanshi D. Dave. Nerve cells like neurons and astrocytes in central nervous system (CNS) take part in the signaling process which means the transformation of the information from one cell to another via signals. The signaling process is affected by various external parameters like buffers calcium- binding proteins, voltage-gated calcium channel. ...ArticlesThu, 21 Sep 2017 11:08:25 -0600Caustics, pseudocaustics and the related illuminated and dark regions with the computational method of quantifier elimination
http://library.wolfram.com/infocenter/Articles/9680/
Contributed by: N. Ioakimidis. The methodofcausticsisapowerfulexperimentalmethodinelasticityandparticularlyinfracture mechanics forcrackproblems.Therelatedmethodofpseudocausticsisalsoofinterest.Hereweapply the computationalmethodofquantifier eliminationimplementedinthecomputeralgebrasystem Mathematica in ordertodetermine(i)thenon-parametricequationandtwopropertiesofthecausticata ...ArticlesThu, 21 Sep 2017 11:06:47 -0600Impact of second-order velocity and thermal slips in the mixed convective peristalsis with carbon nanotubes and porous medium
http://library.wolfram.com/infocenter/Articles/9679/
Contributed by: T. Hayat, Sadaf Nawaz, A. Alsaedi, M. Rafiq. This article aims to investigate the mixed convective peristaltic transport of water-/kerosene-oil-based nanofluids composed of carbon nanotubes (SWCNT and MWCNT) as nanoparticles. An asymmetric inclined channel is considered. An incompressible liquid saturates the porous space. Energy equation involves the viscous dissipation and heat ...ArticlesThu, 21 Sep 2017 11:05:00 -0600Power considerations for trials of two experimental arms versus a standard active control or placebo
http://library.wolfram.com/infocenter/Articles/9678/
Contributed by: Vic Hasselblad. The power of the two-experimental arm trial depends on three choices: (1) when one arm is dropped (if at all); (2) the final testing procedure, assuming no dropping; and (3) the sampling ratio for the three arms. Multiple-arm designs require critical values which were calculated using Mathematica. Power calculations were exact based on probabilities from binomial ...ArticlesThu, 21 Sep 2017 11:03:23 -0600Trading Structures for Regional Economies in CAS Software
http://library.wolfram.com/infocenter/Articles/9677/
Contributed by: George E. Halkos, Kyriaki D. Tsilika. This paper introduces a visual framework in the environment of a computer algebra system for displaying interregional trading patterns in multi-region, multiactivity economies. Interregional input-output tables illustrate spatial and economic interdependencies within interregional trade and are considered a key component in input-output ...ArticlesThu, 21 Sep 2017 11:02:06 -0600Concurrent Cuba
http://library.wolfram.com/infocenter/Articles/9676/
Contributed by: T. Hahn. The parallel version of the multidimensional numerical integration package Cuba is presented and achievable speed-ups discussed. The parallelization is based on the fork/wait POSIX functions, needs no extra software installed, imposes almost no constraints on the integrand function, and works largely automatically.ArticlesThu, 21 Sep 2017 11:00:40 -0600An analytical benchmark and a Mathematica program for MD codes: Testing LAMMPS on the 2nd generation Brenner potential
http://library.wolfram.com/infocenter/Articles/9675/
Contributed by: Antonio Favata, Andrea Micheletti, Seunghwa Ryu, Nicola M. Pugno. An analytical benchmark and a simple consistent Mathematica program are proposed for graphene and carbon nanotubes, that may serve to test any molecular dynamics code implemented with REBO potentials. By exploiting the benchmark, we checked results produced by LAMMPS (Large-scale Atomic/Molecular Massively Parallel ...ArticlesThu, 21 Sep 2017 10:59:40 -0600Closure of the operator product expansion in the non-unitary bootstrap
http://library.wolfram.com/infocenter/Articles/9674/
Contributed by: Ilya Esterlis, A. Liam Fitzpatrick, David M. Ramirez. We use the numerical conformal bootstrap in two dimensions to search for nite, closed sub-algebras of the operator product expansion (OPE), without assuming unitarity. We nd the minimal models as special cases, as well as additional lines of solutions that can be understood in the Coulomb gas formalism. All the solutions we nd ...ArticlesThu, 21 Sep 2017 10:58:14 -0600NEW COMPUTATIONAL APPROACHES FOR BIOPHYSICAL HEAT TRANSFER IN TISSUE UNDER ULTRASONIC WAVES: THE VARIATIONAL ITERATION AND CHEBYSCHEV SPECTRAL SIMULATIONS
http://library.wolfram.com/infocenter/Articles/9673/
Contributed by: Assma F. Elsayed, O. Anwar Bég. A mathematical and numerical study is presented for simulating temperature distribution in a two-dimensional tissue medium using Pennes bioheat transfer equation, when the tissue is subjected to ultrasonic waves. Following nondimensionalization of the governing partial differential equation, a novel variational iteration method (VIM) solution is ...ArticlesThu, 21 Sep 2017 10:56:50 -0600Use of Constraints in the Hierarchical Aggregation Procedure Intramax
http://library.wolfram.com/infocenter/Articles/9672/
Contributed by: Samo Drobne, Mitja LAKNER. Background: Intramax is a hierarchical aggregation procedure for dealing with the multi-level specification problem and with the association issue of data set reduction, but it was used as a functional regionalization procedure many times in the past. Objectives: In this paper, we analyse the simultaneous use of three different constraints in the ...ArticlesThu, 21 Sep 2017 10:55:06 -0600Isoptic surfaces of polyhedra
http://library.wolfram.com/infocenter/Articles/9671/
Contributed by: Géza Csima, Jen˝o Szirmai. The theory of the isoptic curves is widely studied in the Euclidean plane E2(see Cie´slak et al., 1991and Wieleitner, 1908and the references given there). The analogous question was investigated by the authors in the hyperbolic H2and elliptic E2planes (see Csima and Szirmai, 2010,2012,submitted for publication), but in the higher dimensional spaces ...ArticlesThu, 21 Sep 2017 10:52:41 -0600Symbolic Computation Applied to the Study of the Kernel of a Singular Integral OperatorwithNon-Carleman Shift and Conjugation
http://library.wolfram.com/infocenter/Articles/9670/
Contributed by: Ana C. Conceição, Rui C. Marreiros, José C. Pereira. On the Hilbert space L2(T) the singular integral operator with non-Carleman shift and conjugation K = P+ + (aI + AC)P− is considered, where P± are the Cauchy projectors, A = mj =0 a jU j , a, a j , j = 1,m, are continuous functions on the unit circle T, U is the shift operator and C is the operator of complex ...ArticlesThu, 21 Sep 2017 10:50:21 -0600Fusi´on de Im´agenes Multi Foco basado en la Combinaci´on Lineal de Im´agenes utilizando Im´agenes Incrementales
http://library.wolfram.com/infocenter/Articles/9669/
Contributed by: Felix Calderon, Adan Garnica-Carrillo, Juan J. Flores. En este art´ıculo presentamos tres algoritmos para calcular la fusi´on de im´agenes multi foco. Estos algoritmos se basan en la combinaci´on lineal de un par de im´agenes con diferentes niveles de enfoque. Los tres algoritmos maximizan una funci´on lineal con restricciones de coherencia espacial; el objetivo de ...ArticlesThu, 21 Sep 2017 10:49:02 -0600Using differential transform method and Pad´e approximation for solving MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet
http://library.wolfram.com/infocenter/Articles/9668/
Contributed by: Majeed A. Yousif, Bewar A. Mahmood, M. M. Rashidic. The problem of MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet is investigated analytically. Governing equations are reduced to a set of nonlinear ordinary differential equations using the similarity transformations, and solved via an efficient and suitable mathematical technique, named the ...ArticlesThu, 21 Sep 2017 10:44:44 -0600Numerical and exact solutions for time fractional Burgers' equation
http://library.wolfram.com/infocenter/Articles/9667/
Contributed by: Asif Yokus, Dogan Kaya. The main purpose of this paper is to find an exact solution of the traveling wave equation of a nonlinear time fractional Burgers' equation using the expansion method and the Cole-Hopf transformation. For this purpose, a nonlinear time fractional Burgers' equation with the initial conditions considered. The finite difference method (FDM for short) which is ...ArticlesThu, 21 Sep 2017 10:43:18 -0600Research on a Multiple-Receiver Inductively Coupled Power Transfer System for Mooring Buoy Applications
http://library.wolfram.com/infocenter/Articles/9666/
Contributed by: Jiayi Xu, Xingfei Li, Ziming Xie, Huilin Zhang, Tengfei Wu, Cheng Fang. Inductively coupled power transfer (ICPT) systems, which are superior to batteries due to their real-time power supplycapacity have been used in mooring buoys for the purpose of long-term measurements. A multiple-receiver ICPT system for mooring buoys, which contains a mooring cable for transmitting power, is ...ArticlesThu, 21 Sep 2017 10:41:08 -0600COMPUTING SINGULAR POINT QUANTITIES FOR QUASI ANALYTIC SYSTEMS
http://library.wolfram.com/infocenter/Articles/9665/
Contributed by: Yusen Wu. We describe a new algorithm to compute singular point quantities for quasi analytic systems. It is transparent conceptually and efficient computationally with computer algebra software Mathematica 8.0. We demonstrate the application of this approach by deriving center conditions for some quasi quadratic systems. Keywords. Algorithm; Common zero; Quasi analytic system; ...ArticlesThu, 21 Sep 2017 10:38:00 -0600Double power series method for approximating cosmological perturbations
http://library.wolfram.com/infocenter/Articles/9664/
Contributed by: Andrew J. Wren, Karim A. Malik. We introduce a double power series method for finding approximate analytical solutions for systems of differential equations commonly found in cosmological perturbation theory. The method was set out, in a noncosmological context, by Feshchenko, Shkil' and Nikolenko (FSN) in 1966, and is applicable to cases where perturbations are on subhorizon ...ArticlesThu, 21 Sep 2017 10:36:48 -0600Leibniz Algebras Associated with Representations of the Diamond Lie Algebra
http://library.wolfram.com/infocenter/Articles/9663/
Contributed by: Selman Uguz, Iqbol A. Karimjanov, B. A. Omirov. In this paper we describe some Leibniz algebras whose corresponding Lie algebra is four-dimensional Diamond Lie algebra D and the ideal generated by the squares of elements (further denoted by I ) is a right D-module. Using description (Casati et al J. Math. Phys. 51: 033515 (2010)) of representations of algebra D in sl(3,C) and ...ArticlesThu, 21 Sep 2017 10:35:36 -0600Two new applications of tan(F()/2) -expansion method
http://library.wolfram.com/infocenter/Articles/9662/
Contributed by: Yavuz Ugurlu, Ibrahim E. Inan, Hasan Bulut. tIn this study, we consider the tanF()2-expansion methodfor the traveling wave solu-tions of the potential KdV equation (pKdV)and the (3 + 1)-dimensional shallow water waveequation (SWWE). We find some traveling wave solutions such as trigonometric func-tion, hyperbolic function, exponential function solutions. Then, we showthe two ...ArticlesThu, 21 Sep 2017 10:34:00 -0600Flux peaking of 7-12 keV deuterons at channeling in TiD2 crystal and enhancement of neutrons yield in d(d,n)3He reaction
http://library.wolfram.com/infocenter/Articles/9661/
Contributed by: T.A. Tukhfatullin, Yu. L. Pivovarov, G.N. Dudkin, Yu.L. Eikhorn, S.I. Kuznetsov. To study the reactions between light nuclei (dd, pd, d3He, d4He) with an ultralow collision energy, there is a need in the information on the yield of neutrons in the reaction d(d,n)3He versus the angular and spatial distribution of particles during the channeling process in thin crystals. The authors ...ArticlesThu, 21 Sep 2017 10:32:08 -0600Graph-theoretical evaluation of the inelastic propensity rules for molecules with destructive quantum interference
http://library.wolfram.com/infocenter/Articles/9660/
Contributed by: Rudolf Sýkora, Tomáš Novotný. We present a method based on graph theory for the evaluation of the inelastic propensity rules for molecules exhibiting complete destructive quantum interference in their elastic transmission. The method uses an extended adjacency matrix corresponding to the structural graph of the molecule for calculating Green's function between the sites with ...ArticlesThu, 21 Sep 2017 10:30:30 -0600Zeons, Orthozeons, and Graph Colorings
http://library.wolfram.com/infocenter/Articles/9659/
Contributed by: G. Stacey Staples, Tiffany Stellhorn. Nilpotent adjacency matrix methods have proven useful for counting self-avoiding walks (paths, trails, cycles, and circuits) in finite graphs. In the current work, these methods are extended for the first time to problems related to graph colorings. Nilpotent-algebraic formulations of graph coloring problems include necessary and sufficient ...ArticlesThu, 21 Sep 2017 10:29:15 -0600FeynHelpers: Connecting FeynCalc to FIRE and Package-X
http://library.wolfram.com/infocenter/Articles/9658/
Contributed by: Vladyslav Shtabovenko. We present a new interface called FeynHelpers that connects FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and calculations in quantum field theory (QFT) to Package-X and FIRE. The former provides a library of analytic results for scalar 1-loop integrals with up to 4 legs, while the latter is a general-purpose tool ...ArticlesThu, 21 Sep 2017 10:28:04 -0600Computing Maass cusp form on general hyperbolic torus
http://library.wolfram.com/infocenter/Articles/9657/
Contributed by: Nor Syazana Shamsuddin, Hishamuddin Zainuddin, Chan Kar Tim. The bound states of a quantum mechanical system on a punctured hyperbolic torus are described by Maass cusp forms, which are eigenfunctions of the hyperbolic Laplace-Beltrami operator vanishing at infinity. In a recent work by Chan et al. (2013), the computation of Maass cusp forms makes use of the symmetric fundamental ...ArticlesThu, 21 Sep 2017 10:27:11 -0600Rayleigh waves in liquid layer resting over an initially stressed orthotropic half-space under self-weight
http://library.wolfram.com/infocenter/Articles/9656/
Contributed by: Sanjeev Anand Sahu, Soniya Chaudhary, Pradeep Kumar Saroj, Amares Chattopadhyay. The study of surface waves (Rayleigh wave) finds their virtuous applications in a numerous geological and geophysical fields including water, oil, gas, and other subsurface geological probing and exploration. The present paper efforts to investigate the influence of initial stress, Earth magnetism, ...ArticlesThu, 21 Sep 2017 10:25:48 -0600Optimal q-homotopy analysis method for time-space fractional gas dynamics equation
http://library.wolfram.com/infocenter/Articles/9655/
Contributed by: K. M. Saad, E.H. AL-Shareef, Mohamed S. Mohamed, Xiao-Jun Yang. It is well known that the homotopy analysis method is one of the most efficient methods for obtaining analytical or approximate semi-analytical solutions of both linear and non-linear partial differential equations. A more general form of HAM is introduced in this paper, which is called Optimal q-Homotopy Analysis ...ArticlesThu, 21 Sep 2017 10:23:54 -0600MathIOmica-MSViewer: a dynamic viewer for mass spectrometry files for Mathematica
http://library.wolfram.com/infocenter/Articles/9654/
Contributed by: R. Roushangar, G. I. Mias. MathIOmica-MSViewer is an add-on graphical user interface utility for the Mathematica software system which facilitates the visualization and exploration of spectra from open format mass spectrometry files (mzXML and mzML standard community formats). The viewer was designed for simplicity and handling of large mass spectrometry data files. To facilitate ...ArticlesThu, 21 Sep 2017 10:22:29 -0600Traffic model for the interconnection of networks and operators using MPLS-TE
http://library.wolfram.com/infocenter/Articles/9653/
Contributed by: Carlos Mario Restrepo, Octavio José Salcedo-Parra, Juan Manuel Sánchez-Céspedes. In this paper, the main features of MPLS Traffic Engineering are presented to illustrate how telecommunication service providers use them to create interconnections between each other in order to offer telecom services satisfying QoS commitments. Based on previous traffic models, a new model, which ...ArticlesThu, 21 Sep 2017 10:20:51 -0600Symbolic integration with respect to the Haar measure on the unitary groups
http://library.wolfram.com/infocenter/Articles/9652/
Contributed by: Z. Puchala, Jaroslaw Adam Miszczak. We present IntU package for Mathematica computer algebra system. The presented package performs a symbolic integration of polynomial functions over the unitary group with respect to unique normalized Haar measure. We describe a number of special cases which can be used to optimize the calculation speed for some classes of integrals. We also ...ArticlesThu, 21 Sep 2017 10:18:36 -0600Innovative straight formulation for plate in bending
http://library.wolfram.com/infocenter/Articles/9651/
Contributed by: Antonina Pirrotta, Christian Bucher. In this paper it has been introduced an innovative formulation for evaluating the deflection function of a simply supported plate loaded by uniformly distributed edge moments. Framed into Line Element-less Method, this formulation allows the evaluation of solution in terms of deflection, through few lines of algorithm implemented by Mathematica ...ArticlesThu, 21 Sep 2017 10:16:48 -0600Symbolic computation and computer graphics as tools for developing and studying new root-finding methods
http://library.wolfram.com/infocenter/Articles/9650/
Contributed by: I. Petkovic, D. Herceg. Many very difficult problems in applied mathematics and other scientific disciplines can- not be solved without powerful computational systems, such as symbolic computation and computer graphics. In this paper we construct two new families of the fourth order iter- ative methods for finding a multiple real or complex zero of a given function. For devel- ...ArticlesThu, 21 Sep 2017 10:15:23 -0600Package-X 2.0: A Mathematica package for the analytic calculation of one-loop integrals
http://library.wolfram.com/infocenter/Articles/9649/
Contributed by: Hiren H. Patel. This article summarizes new features and enhancements of the first major update of Package-X. Package- X 2.0 can now generate analytic expressions for arbitrarily high rank dimensionally regulated tensor integrals with up to four distinct propagators, each with arbitrary integer weight, near an arbitrary even number of spacetime dimensions, giving UV divergent, IR ...ArticlesThu, 21 Sep 2017 10:14:11 -0600Transient response of an active nonlinear sandwich piezolaminated plate
http://library.wolfram.com/infocenter/Articles/9648/
Contributed by: Atta Oveisi, Tamara Nestorovi ´c. In this paper, the dynamic modelling and active vibration control of a piezolaminated plate with geometrical nonlinearities are investigated using a semi-analytical approach. For ac- tive vibration control purposes, the core orthotropic elastic layer is assumed to be per- fectly bonded with two piezo-layers on its top and bottom surfaces which act ...ArticlesThu, 21 Sep 2017 10:13:19 -0600Approximate Solutions of Schrodinger Equation with Some Diatomic Molecular Interactions Using Nikiforov-Uvarov Method
http://library.wolfram.com/infocenter/Articles/9647/
Contributed by: Ituen B. Okon, Oyebola Popoola, Cecilia N. Isonguyo. We used a tool of conventional Nikiforov-Uvarov method to determine bound state solutions of Schrodinger equation with quantum interaction potential called Hulthen-Yukawa inversely quadratic potential (HYIQP).We obtained the energy eigenvalues and the total normalized wave function.We employed Hellmann-FeynmanTheorem (HFT) to ...ArticlesThu, 21 Sep 2017 10:11:42 -0600ParticleRecognition, a Mathematica GUI interface for analysis of complex shaped nanoparticles in micrographs
http://library.wolfram.com/infocenter/Articles/9646/
Contributed by: Filip Novotný. A Mathematica application providing the user with a graphical interface (GUI) is presented and published, which can be used to interactively explore image filtering and segmentation methods to analyse variously shaped particles in a microscopic image. The application functionality is designed around Mathematica's in-built image processing capability with custom ...ArticlesThu, 21 Sep 2017 10:10:17 -0600Use of a Symbolic Computation Program to Reinforce the Spatial Abilities of Engineering Students
http://library.wolfram.com/infocenter/Articles/9645/
Contributed by: Susana Nieto, Higinio Ramos. This paper presents an initiative that seeks to develop some skills of 3-D visualization by using the capabilities of programming and graphical representation of a computer algebra system, in this case Mathematica. A specific procedure has been developed to allow engineering students to represent the families of curves obtained by cutting the 3-D graph ...ArticlesThu, 21 Sep 2017 10:08:52 -0600Using Computational Visualizations of the Charge Density To Guide First-Year Chemistry Students through the Chemical Bond
http://library.wolfram.com/infocenter/Articles/9644/
Contributed by: Jonathan Miorelli, Allison Caster, Mark E. Eberhart. The chemical bond concept is the foundation of the molecular sciences. Therefore, helping students gain a clear physical representation of chemical bonding is necessary for progress in chemistry. Bond Explorer, an activity that utilizes the three-dimensional (3D) plotting functionality of Mathematica, is intended to provide a ...ArticlesThu, 21 Sep 2017 10:07:27 -0600Efficient numerical solution to vacuum decay with many fields
http://library.wolfram.com/infocenter/Articles/9643/
Contributed by: Ali Masoumi, Ken D. Olum, Benjamin Shlaer. Finding numerical solutions describing bubble nucleation is notoriously dicult in more than one eld space dimension. Traditional shooting methods fail because of the extreme non-linearity of eld evolution over a macroscopic distance as a function of initial conditions. Minimization methods tend to become either slow or imprecise for ...ArticlesThu, 21 Sep 2017 10:05:57 -0600rdml: A Mathematica package for parsing and importing Real‑Time qPCR data
http://library.wolfram.com/infocenter/Articles/9642/
Contributed by: Ramiro Magno, Isabel Duarte, Raquel P. Andrade, Isabel Palmeirim. Objective: The purpose and objective of the research presented is to provide a package for easy importing of Real- Time PCR data markup language (RDML) data to Mathematica. Results: Real-Time qPCR is the most widely used experimental method for the accurate quantification of gene expression. To enable the ...ArticlesThu, 21 Sep 2017 10:04:08 -0600First-exit problem of MDOF strongly nonlinear oscillators under wide-band random excitations without internal resonances
http://library.wolfram.com/infocenter/Articles/9641/
Contributed by: Jun Lan, Yong-Jun Wu. The first-exit problem of strongly nonlinear oscillators with multi-degrees-of-freedom (MDOF) is studied theoretically in this paper. The excitations are modelled as wide-band random noises. When there is no internal resonance, the equations of motion of the original system are reduced to a set of averaged Itô stochastic differential equations (SDEs) after ...ArticlesThu, 21 Sep 2017 10:02:01 -0600Development of a set of benchmark problems to verify numerical methods for solving burnup equations
http://library.wolfram.com/infocenter/Articles/9640/
Contributed by: Daniel Lago, Farzad Rahnema. A comprehensive set of transmutation chain benchmark problems for numerically validating methods for solving burnup equations was created. These benchmark problems were designed to challenge both traditional and modern numerical methods used to solve the complex set of ordinary differential equations used for tracking the change in nuclide ...ArticlesThu, 21 Sep 2017 10:00:31 -0600Dynamics of a double mathematical pendulum with variable mass in dimensionless coordinates
http://library.wolfram.com/infocenter/Articles/9639/
Contributed by: Rafał Kwiatkowski, Tadeusz J. Hoffmann, Andrzej Kołodziej. The article presents an analysis of the dynamics of a double mathematical pendulum with variable mass. In the analyzed system, with time, under the influence of gravity, the mass of the upper member of pendulum decreases and the mass of the lower member of pendulum increases. The total mass of the system doesn't ...ArticlesThu, 21 Sep 2017 09:58:41 -0600Application of Computer Algebra for the Reconstruction of Surfaces from Their Photometric Stereo Images
http://library.wolfram.com/infocenter/Articles/9638/
Contributed by: R. Kozera, A. N. Prokopenya. The problem of reconstructing a Lambertian surface from its two photometric stereo images is discussed. Previously, the solution to this problem was only obtained for a special choice of two light source directions. In this paper, using the computer algebra system Mathematica, the necessary and sufficient conditions for the unique reconstruction of the ...ArticlesThu, 21 Sep 2017 09:56:54 -0600Axisymmetric analysis of a thermoelastic isotropic half-space under buried sources in displacement and temperature potentials
http://library.wolfram.com/infocenter/Articles/9637/
Contributed by: Hamidreza Mahmoodi Kordkheili, Gholamreza Ghodrati Amiri, Mahmood Hosseini. Analytical and numerical investigations have been made to determine the solution of a thermoelastic isotropic half-space under buried mechanical load and heat ux based on Biot's coupled thermoelasticity. Using a scalar poten- tial function, the coupled governing equations have been uncoupled and a sixth ...ArticlesThu, 21 Sep 2017 09:55:34 -0600The portrait of eikonal instability in Lovelock theories
http://library.wolfram.com/infocenter/Articles/9636/
Contributed by: R.A. Konoplya, A. Zhidenko. Perturbations and eikonal instabilities of black holes and branes in the Einstein- Gauss-Bonnet theory and its Lovelock generalization were considered in the literature for several particular cases, where the asymptotic conditions ( at, dS, AdS), the number of spacetime dimensions D, non-vanishing coupling constants (1, 2, 3 etc.) and other ...ArticlesThu, 21 Sep 2017 09:53:35 -0600Analytical method for calculation of deviations from intended dosages during multi‑infusion
http://library.wolfram.com/infocenter/Articles/9635/
Contributed by: Maurits K. Konings, Roland A. Snijder, Joris H. Radermacher, Annemoon M. Timmerman. Background: In this paper, a new method is presented that combines mechanical compliance effects with Poiseuille flow and push-out effects ('dead volume') in one single mathematical framework for calculating dosing errors in multi-infusion set-ups. In contrast to existing numerical methods, our ...ArticlesThu, 21 Sep 2017 09:49:59 -0600On sample size determination based on a Bayesian index of superiority for two independent binomial proportions
http://library.wolfram.com/infocenter/Articles/9634/
Contributed by: Yohel Kawasaki. In clinical study, calculation for sample size is often done using the frequentist framework. However, several methods of calculation using the Bayesian framework have been proposed. In this paper, we propose a method for the determination of sample sizes using the index 𝜃 = P 𝜋1 > 𝜋2X1, X2 , where X1 and X2 denote the binomial ...ArticlesThu, 21 Sep 2017 09:48:17 -0600Geometrical and spatial effects on fiber network connectivity
http://library.wolfram.com/infocenter/Articles/9633/
Contributed by: Alp Karakoc, Eero Hiltunen, Jouni Paltakari. For fibrous materials such as nonwoven fabrics, paper and paperboards, inter-fiber bonds play a critical role by holding fibers, thus providing internal cohesion. Being a physical phenomenon, inter-fiber bonds occur at every fiber crossing and can be also geometrically detected. In relation to the idea, a statistical geometrical model ...ArticlesThu, 21 Sep 2017 09:47:05 -060041 Counterexamples to property (B) of the discrete time bomber problem
http://library.wolfram.com/infocenter/Articles/9632/
Contributed by: Takashi Kamihigashi. The discrete time 'bomber problem' has been one of the longest standing open problems in operations research. In particular, the validity of one of the natural monotonicity conjectures-known as property (B)-has been an unresolved issue since 1968. In this paper we report 41 counterexamples to property (B) of this problem. We have found them by computing the ...ArticlesThu, 21 Sep 2017 09:45:42 -0600Group-theoretical search for rows or columns of the lepton mixing matrix
http://library.wolfram.com/infocenter/Articles/9631/
Contributed by: Darius Jurcˇiukonis, Luís Lavoura. We have used the SmallGroups library of groups, together with the computer algebra systems GAP and Mathematica, to search for groups with a three-dimensional irreducible representation in which one of the group generators has a twice-degenerate eigenvalue while another generator has nondegenerate eigenvalues. By assuming one of these group ...ArticlesThu, 21 Sep 2017 09:43:53 -0600The Optimal Homotopy Analysis Method for solving linear optimal control problems
http://library.wolfram.com/infocenter/Articles/9630/
Contributed by: Wenjaun Jia, Xiqin He, Liangdong Guo. In this paper, an Optimal Homotopy Analysis Method (Optimal HAM) is applied to solve the linear optimal control problems (OCPs), which have a quadratic performance index. This approach contains at most two convergence-control parameters which depend on the control system and is computationally rather efficient. A squared residual error for the ...ArticlesThu, 21 Sep 2017 09:42:24 -0600High-temperature series expansion for spin-1/2 Heisenberg models
http://library.wolfram.com/infocenter/Articles/9629/
Contributed by: Andreas Hehn, Natalija van Well, Matthias Troyer. We present a high-temperature series expansion code for spin-1/2 Heisenberg models on arbitrary lattices. As an example we demonstrate how to use the application for an anisotropic triangular lattice with two independent couplings J1 and J2 and calculate the high-temperature series of the magnetic susceptibility and the static ...ArticlesThu, 21 Sep 2017 09:40:58 -0600Mixed convection peristaltic motion of copper-water nanomaterial with velocity slip effects in a curved channel
http://library.wolfram.com/infocenter/Articles/9628/
Contributed by: T. Hayat, S. Farooq, A. Alsaedi. Background and objective : The primary objective of present analysis is to model the peristalsis of copper-water based nanoliquid in the presence of first order velocity and thermal slip conditions in a curved channel. Mixed convection, viscous dissipation and heat generation/absorption are also accounted. Method : Mathematical formulation is ...ArticlesThu, 21 Sep 2017 09:39:27 -0600Climate change effects and their interactions: An analysis aiming at policy implications
http://library.wolfram.com/infocenter/Articles/9627/
Contributed by: George E. Halkos, Kyriaki D. Tsilika. In this study we provide a computerized graph structure for synthesizing and displaying the data on a region's ecosystem-economic system. By applying Mathematica-based graph modeling we create a causal network of the synergistic impact mechanism among certain climate related factors. Our computational approach identifies a climate factor that ...ArticlesThu, 21 Sep 2017 09:38:11 -0600Shear waves in elastic medium with void pores welded between vertically inhomogeneous and anisotropic magnetoelastic semi-infinite media
http://library.wolfram.com/infocenter/Articles/9626/
Contributed by: Shishir Gupta, Mostaid Ahmed, Abhijit Pramanik. The paper intends to study the propagation of horizontally polarized shear waves in an elastic medium with void pores constrained between a vertically inhomogeneous and an anisotropic magnetoelastic semi-infinite media. Elasto-dynamical equations of elastic medium with void pores and magnetoelastic solid have been employed to ...ArticlesThu, 21 Sep 2017 09:36:51 -0600Scattering from metamaterial coated nihility sphere
http://library.wolfram.com/infocenter/Articles/9625/
Contributed by: Abdul Ghaffar, M. H. Hussan, Majeed A. Alkanhal, Sajjad ur Rehman. Background: To show the Back-Scattering efficiencies of nihility sphere become non-zero, scattering from metamaterial coated nihility sphere has been carried out in the presented work. Methods: The field phasors are expanded in terms of spherical wave vector function along with assumed scattering coefficients. ...ArticlesThu, 21 Sep 2017 09:35:09 -0600Numerical simulations to the nonlinear model of interpersonal Relationships with time fractional derivative
http://library.wolfram.com/infocenter/Articles/9624/
Contributed by: Muharrem Tuncay Gencoglu, Haci Mehmet Baskonus, Hasan Bulut. The main aim of this manuscript is to obtain numerical solutions for the nonlinear model of interpersonal relationships with time fractional derivative. The variational iteration method is theoretically implemented and numerically conducted only to yield the desired solutions. Numerical simulations of desired solutions ...ArticlesThu, 21 Sep 2017 09:33:05 -0600Transformation of generalized multiple Riemann zeta type sums with repeated arguments
http://library.wolfram.com/infocenter/Articles/9623/
Contributed by: Marian Genčev. The aim of this paper is the study of a transformation dealing with the general K-fold infinite series of the form n1≥···≥nK≥1 K j=1 anj , especially those, where an=R(n)is a rational function satisfying certain simple conditions. These sums represent the direct generalization of the well-known multi-ple Riemann zeta-star function with ...ArticlesThu, 21 Sep 2017 09:31:44 -0600Methods for Modeling Brassinosteroid-Mediated Signaling in Plant Development
http://library.wolfram.com/infocenter/Articles/9622/
Contributed by: David Frigola, Ana I. Caño-Delgado, Marta Ibañes. Mathematical modeling of biological processes is a useful tool to draw conclusions that are contained in the data, but not directly reachable, as well as to make predictions and select the most efficient follow-up experiments. Here we outline a method to model systems of a few proteins that interact transcriptionally and/or ...ArticlesThu, 21 Sep 2017 09:30:48 -0600Mean-field behavior for nearest-neighbor percolation in d > 10
http://library.wolfram.com/infocenter/Articles/9621/
Contributed by: Robert Fitzner, Remco van der Hofstad. We prove that nearest-neighbor percolation in dimensions d 11 displays mean-field behavior by proving that the infrared bound holds, in turn implying the finiteness of the percolation triangle diagram. The finiteness of the triangle implies the existence and mean-field values of various critical exponents, such as = 1; = 1; = 2. We also ...ArticlesThu, 21 Sep 2017 09:28:47 -0600The geometrically nonlinear Cosserat micropolar shear-stretch energy. Part II: Non-classical energy-minimizing microrotations in 3D and their computational validation
http://library.wolfram.com/infocenter/Articles/9620/
Contributed by: Andreas Fischle, Patrizio Neff. In any geometrically nonlinear, isotropic and quadratic Cosserat micropolar extended continuum model formulated in the deformation gradient field F := ∇ϕ : → GL+(n) and the microrotation field R : → SO(n), the shear-stretch energy is necessarily of the form Wμ,μc (R ; F) := μ sym(RT F − 1) 2 + ...ArticlesThu, 21 Sep 2017 09:27:15 -0600Modeling multi-mutation and drug resistance: analysis of some case studies
http://library.wolfram.com/infocenter/Articles/9619/
Contributed by: Mitra Shojania Feizabadi. Background: Drug-induced resistance is one the major obstacles that may lead to therapeutic failure during cancer treatment. Different genetic alterations occur when tumor cells divide. Among new generations of tumor cells, some may express intrinsic resistance to a specific chemotherapeutic agent. Also, some tumor cells may carry a gene that can develop ...ArticlesThu, 21 Sep 2017 09:25:32 -0600Symbolic derivation of Runge-Kutta-Nyström type order conditions and methods for solving y = f (x, y )
http://library.wolfram.com/infocenter/Articles/9618/
Contributed by: I. Th Famelis, Ch Tsitouras. In this work we study the Runge-Kutta-Nyström (RKN) type methods for the solution of a special third order initial value problems. Based on rooted trees the relative order con- ditions theory is presented introducing a new set of SN-trees named 3 whose elements' enumeration is given. A Mathematica package, that furnishes instantly order conditions of ...ArticlesThu, 21 Sep 2017 09:24:18 -0600QSWalk: A Mathematica package for quantum stochastic walks on arbitrary graphs
http://library.wolfram.com/infocenter/Articles/9617/
Contributed by: P. E. Falloon, Jeremy Rodriguez, Jingbo B. Wang. We present a Mathematica package, QSWalk, to simulate the time evaluation of Quantum Stochastic Walks (QSWs) on arbitrary directed and weighted graphs. QSWs are a generalization of continuous time quantum walks that incorporate both coherent and incoherent dynamics and as such, include both quantum walks and classical random walks ...ArticlesThu, 21 Sep 2017 09:22:59 -0600Nonexistence of twenty-fourth power residue addition sets
http://library.wolfram.com/infocenter/Articles/9616/
Contributed by: Ron Evans, mark Van Veen. Let n >1be an integer, and let Fpdenote a field of pelements for a prime p ≡1(modn). By 2015, the question of existence or nonexistence of n-th power residue difference sets in Fphad been settled for all n <24. We settle the case n =24by proving the nonexistence of 24-th power residue difference sets in Fp. We also prove the nonexistence of ...ArticlesThu, 21 Sep 2017 09:21:30 -0600Nordhaus-Gaddum and other bounds for the sum of squares of the positive eigenvalues of a graph
http://library.wolfram.com/infocenter/Articles/9615/
Contributed by: Clive Elphick, Mustapha Aouchiche. Terpai [21]proved the Nordhaus-Gaddum bound that μ(G) +μ(G) ≤4n/3 −1, where μ(G)is the spectral radius of a graph Gwith nvertices. Let s+denote the sum of the squares of the positive eigenvalues of G. We prove that s+(G)+s+(G)<√2nand conjecture that s+(G)+s+(G)≤4n/3 −1. We have used AutoGraphiX ...ArticlesThu, 21 Sep 2017 09:20:09 -0600Isochronicity for a Z2-equivariant cubic system
http://library.wolfram.com/infocenter/Articles/9614/
Contributed by: Chaoxiong Du, Yirong Liu. This paper is concerned with the bi-isochronous centers problem for a cubic systems in Z2- equivariant vector field. Being based on bi-centers condition, we compute the period constants and obtain the periodic constants basis for each center condition separately of eleven conditions by symbolic computation and numerical analysis with help of the computer ...ArticlesThu, 21 Sep 2017 09:18:16 -0600Zeon Roots
http://library.wolfram.com/infocenter/Articles/9613/
Contributed by: Lisa M. Dollar, G. Stacey Staples. Zeon algebras can be thought of as commutative analogues of fermion algebras, and they can be constructed as subalgebras within Clifford algebras of appropriate signature. Their inherent combinatorial properties make them useful for applications in graph enumeration problems and evaluating functions defined on partitions. In this paper, kth roots ...ArticlesThu, 21 Sep 2017 09:16:44 -0600E6Tensors: A Mathematica package for E6 Tensors
http://library.wolfram.com/infocenter/Articles/9612/
Contributed by: Thomas Deppisch. We present the Mathematica package E6Tensors, a tool for explicit tensor calculations in E6 gauge theories. In addition to matrix expressions for the group generators of E6, it provides structure constants, various higher rank tensors and expressions for the representations 27, 78, 351 and 351′ . This paper comes along with a short manual including ...ArticlesThu, 21 Sep 2017 09:15:05 -0600Dark Soliton Solutions of Klein-Gordon-Zakharov Equation in (1+2) Dimensions
http://library.wolfram.com/infocenter/Articles/9611/
Contributed by: Seyma Tuluce Demiray, Hasan Bulut. This study base on dark soliton solutions of Klein-Gordon-Zakharov (KGZ) equation in (1+2) dimensions. The generalized Kudryashov method (GKM) which is one of the analytical methods has been handled for finding exact solutions of KGZ equation in (1+2) dimensions. By using this method, dark soliton solutions of this equation have been obtained. ...ArticlesThu, 21 Sep 2017 09:13:17 -0600New soliton solutions of Davey-Stewartson equation with power-law nonlinearity
http://library.wolfram.com/infocenter/Articles/9610/
Contributed by: Seyma Tuluce Demiray, Hasan Bulut. This study is related to new soliton solutions of Davey-Stewartson equation (DSE) with power-law nonlinearity. The generalized Kudryashov method which is one of the analytical methods has been used for finding exact solutions of this equation. By using this method, dark soliton solutions of DSE have been found. Also, by using Mathematica Release ...ArticlesThu, 21 Sep 2017 09:11:09 -0600Feynman rules for the Standard Model Effective Field Theory in R-gauges
http://library.wolfram.com/infocenter/Articles/9609/
Contributed by: A. Dede, W. Materkowska, M. Paraskevas, J. Rosiek, K. Suxho. We assume that New Physics effects are parametrized within the Standard Model Effective Field Theory (SMEFT) written in a complete basis of gauge invariant operators up to dimension 6, commonly referred to as 'Warsaw basis'. We discuss all steps necessary to obtain a consistent transition to the spontaneously broken ...ArticlesThu, 21 Sep 2017 09:09:16 -0600FormTracer. A mathematica tracing package using FORM
http://library.wolfram.com/infocenter/Articles/9608/
Contributed by: Anton K. Cyrol, Mario Mitter, Nils Strodthoff. We present FormTracer, a high-performance, general purpose, easy-to-use Mathematica tracing package which uses FORM. It supports arbitrary space and spinor dimensions as well as an arbitrary number of simple compact Lie groups. While keeping the usability of the Mathematica interface, it relies on the efficiency of FORM. An additional ...ArticlesWed, 20 Sep 2017 17:17:47 -0600ManeParse: A Mathematica reader for Parton Distribution Functions
http://library.wolfram.com/infocenter/Articles/9607/
Contributed by: Douglas B. Clarkson, E. Godat, Fredrick I. Olness. Parton Distribution Functions (PDFs) are essential non-perturbative inputs for calculation of any observable with hadronic initial states. These PDFs are released by individual groups as discrete grids as a function of the Bjorken-x and energy scale Q. The LHAPDF project maintains a repository of PDFs from various groups in a new ...ArticlesWed, 20 Sep 2017 17:16:33 -0600Vectorlike fermions and Higgs effective field theory revisited
http://library.wolfram.com/infocenter/Articles/9606/
Contributed by: Chien-Ye Chen. Heavy vectorlike quarks (VLQs) appear in many models of beyond the Standard Model physics. Direct experimental searches require these new quarks to be heavy, ≳800-1000 GeV. We perform a global fit of the parameters of simple VLQ models in minimal representations of SUð2ÞL to precision data and Higgs rates. An interesting connection between anomalous Zb¯b ...ArticlesWed, 20 Sep 2017 17:15:16 -0600DsixTools: the standard model effective field theory toolkit
http://library.wolfram.com/infocenter/Articles/9605/
Contributed by: Alejandro Celis, Javier Fuentes-Martin, Avelino Vicente, Javier Virto. We present DsixTools, a Mathematica package for the handling of the dimension-six standard model effective field theory. Among other features, DsixTools allows the user to perform the full one-loop renormalization group evolution of the Wilson coefficients in the Warsaw basis. This is achieved thanks to the ...ArticlesWed, 20 Sep 2017 17:14:18 -0600A computer tool for a minimax criterion in binary response and heteroscedastic simple linear regression models
http://library.wolfram.com/infocenter/Articles/9604/
Contributed by: V. Casero-Alonso, J. Lopez-Fidalgo, B. Torsney. Background and objective: Binary response models are used in many real applications. For these models the Fisher information matrix (FIM) is proportional to the FIM of a weighted simple linear regression model. The same is also true when the weight function has a finite integral. Thus, optimal designs for one binary model are also ...ArticlesWed, 20 Sep 2017 17:12:45 -0600The Use of cone Beam computed Tomography in Assessing the Insertion of Bone conduction hearing Implants
http://library.wolfram.com/infocenter/Articles/9603/
Contributed by: Tim George Ate Calon, Martin Lars Johansson, Elske Larissa van den Burg, Anna Maria Louisa Janssen, Marc van Hoof, Robert Jan Stokroos. ObjectiveThis study aimed to compare postoperative cone beam CT (CBCT) imaging to implant stability quotient (ISQ) measurement and direct caliper measurements as a suitable technique to assess bone conduction hearing implant (BCHI) seating and ...ArticlesWed, 20 Sep 2017 17:11:11 -0600Operator mixing in deformed D1D5 CFT and the OPE on the cover
http://library.wolfram.com/infocenter/Articles/9602/
Contributed by: Benjamin A. Burrington, Ian T. Jardine, Amanda W. Peet. We consider the D1D5 CFT near the orbifold point and develop methods for computing the mixing of untwisted operators to first order by using the OPE on the covering surface. We argue that the OPE on the cover encodes both the structure constants for the orbifold CFT and the explicit form of the mixing operators. We show this ...ArticlesWed, 20 Sep 2017 17:07:45 -0600New solitary and optical wave structures to the (1 + 1)-dimensional combined KdV-mKdV equation
http://library.wolfram.com/infocenter/Articles/9601/
Contributed by: Hasan Bulut, Tukur Abdulkadir Sulaiman, Haci Mehmet Baskonus, Anna A. Sandulyak. In this article, we employ the sine-Gordon expansion method to construct a new solitary and optical wave structures to the (1 + 1)-dimensional combined KdV-mKdV equation. Sine- Gordon expansion method is developed based on the travelling wave transformation u(x, y) = U(), = (x − ct) and the ...ArticlesWed, 20 Sep 2017 17:05:55 -0600Application of the Modified Exponential Function Method to the Cahn-Allen Equation
http://library.wolfram.com/infocenter/Articles/9600/
Contributed by: Hasan Bulut. In this study, we have applied the modified exp -expansion function method to the Cahn-Allen equation. We have obtained some new analytical solutions such hyperbolic function solutions. Then, we have constructed the two and three dimensional surfaces for all analytical solutions obtained in this ...ArticlesWed, 20 Sep 2017 17:04:37 -0600On the new hyperbolic and trigonometric structures to the simplified MCH and SRLW equations
http://library.wolfram.com/infocenter/Articles/9599/
Contributed by: Hasan Bulut, Tukur Abdulkadir Sulaiman, Fevzi Erdogan, Haci Mehmet Baskonus. With the aid of theWolfram Mathematica software, the powerful sine-Gordon expansion method is used in constructing some new solutions to the two well-known nonlinear models, namely, the simplified modified Camassa-Holm and symmetric regularized long-wave equations. We obtain some novel complex, ...ArticlesWed, 20 Sep 2017 17:03:24 -0600SpinDynamica: Symbolic and numerical magnetic resonance in a Mathematica environment.
http://library.wolfram.com/infocenter/Articles/9598/
Contributed by: Christian Bengs, Malcolm H. Levitt. SpinDynamica is a set of Mathematica packages for performing numerical and symbolic analysis of a wide range of magnetic resonance experiments and phenomena. An overview of the SpinDynamica architecture and functionality is given, with some simple representative examples.ArticlesWed, 20 Sep 2017 17:01:50 -0600Functions' algebra in nonlinear control: computational aspects and software
http://library.wolfram.com/infocenter/Articles/9597/
Contributed by: Juri Belikov, Arvo Kaldmäe, Vadim Kaparin, Ülle Kotta, Alexey Ye. Shumksy, Maris Tõnsoa, Alexey N. Zhirabok. The paper describes the Mathematica-based software for studying nonlinear control systems. The software relies on an algebraic method, called functions' algebra. The advantage of this approach, over well-known linear algebraic and differential geometric methods is that it ...ArticlesWed, 20 Sep 2017 16:58:49 -0600Functions' algebra in nonlinear control: computational aspects and software
http://library.wolfram.com/infocenter/Articles/9596/
The paper describes the Mathematica-based software for studying nonlinear control systems. The software relies on an algebraic method, called functions' algebra. The advantage of this approach, over well-known linear algebraic and differential geometric methods is that it is applicable to certain non-smooth systems. The drawback is that the computations are more complicated since the approach ...ArticlesWed, 20 Sep 2017 16:58:13 -0600An approximate solution based on Jacobi polynomials for time-fractional convection-diffusion equation
http://library.wolfram.com/infocenter/Articles/9595/
Contributed by: M. Behroozifar, A. Sazmand. In this article, we present a numerical method to numerically solve a time-fractional convection-diffusion equation. Our method is based on the operational matrices of shifted Jacobi polynomials. At first, problem is converted to a homogeneous problem by interpo- lation and afterward an integro-differential equation is yielded. Then we approximate the ...ArticlesWed, 20 Sep 2017 16:55:43 -0600On the novel wave behaviors to the coupled nonlinear Maccari's system with complex structure
http://library.wolfram.com/infocenter/Articles/9594/
Contributed by: Haci Mehmet Baskonus, Tukur Abdulkadir Sulaiman, Hasan Bulut. In this paper, we seek for the new soliton solutions to the coupled nonlinear Maccari's system by using sine-Gordon expansion method. Sine-Gordon expansion method is based on sine-Gordon Eq. (2.1) and a travelling wave transformation. We obtain new complex hyperbolic functions solutions to this system with help of ...ArticlesWed, 20 Sep 2017 16:54:41 -0600New Complex and Hyperbolic Function Solutions to the Generalized Double Combined Sinh-Cosh-Gordon Equation
http://library.wolfram.com/infocenter/Articles/9593/
Contributed by: Haci Mehmet Baskonus. In this study, we have applied the improved Bernoulli sub-equation function method to the generalized double combined Sinh-Cosh-Gordon equation. This method gives new analytical solutions such as complex and hyperbolic function solutions to the problem considered in this paper. Then, we plot the three and two dimensional surfaces of analytical solutions by ...ArticlesWed, 20 Sep 2017 16:53:10 -0600ANALYSIS OF THE NEW TECHNIQUE TO SOLUTION OF FRACTIONAL WAVE- AND HEAT-LIKE EQUATION
http://library.wolfram.com/infocenter/Articles/9592/
Contributed by: Dumitru Baleanu. We have applied the new approach of homotopic perturbation method (NHPM) for wave- and heat-like equation featuring time-fractional derivative. A combination of NHPM and multiple fractional power series form has been used the first time to present analytical solution. In order to illustrate the simplicity and ability of the suggested approach, some specific and ...ArticlesWed, 20 Sep 2017 16:51:02 -0600Assessment of discontinuous rock slope stability with block theory and numerical modeling: a case study for the South Pars Gas Complex, Assalouyeh, Iran
http://library.wolfram.com/infocenter/Articles/9591/
Contributed by: Mohammad Azarafza, Ebrahim Asghari-Kaljahi, Haluk Akgu¨n. In this study, a geotechnical model has been used to analyze the stability of a discontinuous rock slope. The main idea behind block theory is that it disregards many different combinations of discontinuities and directly identifies and considers critical rock blocks known as ''key blocks''. The rock slope used as a case ...ArticlesWed, 20 Sep 2017 16:49:45 -0600Dynamic Behavior of Axially Functionally Graded Pipes Conveying Fluid
http://library.wolfram.com/infocenter/Articles/9590/
Contributed by: Chen An, Jian Su. Dynamic behavior of axially functionally graded (FG) pipes conveying fluid was investigated numerically by using the generalized integral transformtechnique (GITT). The transverse vibration equation was integral transformed into a coupled systemof secondorder differential equations in the temporal variable.The Mathematica's built-in function, NDSolve, was ...ArticlesWed, 20 Sep 2017 16:47:35 -0600A semi-analytical iterative method for solving nonlinear thin film flow problems
http://library.wolfram.com/infocenter/Articles/9589/
Contributed by: M.-A. Al-Jawary. This paper presents a new implementation of a reliable iterative method proposed by Temimi and Ansari namely (TAM) for approximate solutions of a nonlinear problem that arises in the thin film flow of a third grade fluid on a moving belt. The solution is obtained in the form of a series that converges to the exact solution with easily computed components, without ...ArticlesWed, 20 Sep 2017 16:46:18 -0600Approximate solutions of bright and dark optical solitons in birefrigent fibers
http://library.wolfram.com/infocenter/Articles/9588/
Contributed by: Maysaa Mohamed Al Qurashi, Zeliha S. Korpinar, Mustafa Inc. In this article, the residual power series method (RPSM) for solving the nonlinear Schrödinger equation is introduced. Residual power series algorithm gets Maclaurin expansion of the numerical soliton solutions to birefringent fibers. Dark and singular numerical optical soliton solutions are listed for these ...ArticlesWed, 20 Sep 2017 16:44:57 -0600Physical hydrodynamic propulsion model study on creeping viscous flow through a ciliated porous tube
http://library.wolfram.com/infocenter/Articles/9587/
Contributed by: NOREEN SHER AKBAR, ADIL WAHID BUTT, D. Tripathi, O. Anwar Bég. The present investigation focusses on a mathematical study of creeping viscous flow induced by metachronal wave propagation in a horizontal ciliated tube containing porous media. Creeping flow limitations are imposed, i.e. inertial forces are small compared to viscous forces and therefore a very low Reynolds number (Re ...ArticlesWed, 20 Sep 2017 16:42:38 -0600BCM-2.0 - The new version of computer code ''Basic Channeling with Mathematica
http://library.wolfram.com/infocenter/Articles/9586/
Contributed by: S.V. Abdrashitov, O.V. Bogdanov, K.B. Korotchenko, Yu. L. Pivovarov, E.I. Rozhkova, T.A. Tukhfatullin, Yu.L. Eikhorn. The new symbolic-numerical code devoted to investigation of the channeling phenomena in periodic potential of a crystal has been developed. The code has been written in Wolfram Language taking advantage of analytical programming method. Newly developed different ...ArticlesWed, 20 Sep 2017 16:40:13 -0600Simulation of the approximate solutions of the time-fractional multi-term wave equations
http://library.wolfram.com/infocenter/Articles/9585/
Contributed by: E. A. Abdel-Rehim, A. M. A. El-Sayed, A. S. Hashem. In this paper, simulations of the approximation solutions of time-fractional wave, forced wave (shear wave), and damped wave equations are given. The common finite difference rules besides the backward Grünwald-Letnikov scheme are used to find the approximation solution of these models. The paper discusses also the effects of the ...ArticlesWed, 20 Sep 2017 16:38:12 -0600New acoustic wave behaviors to the Davey-Stewartson equation with power-law nonlinearity arising in fluid dynamics
http://library.wolfram.com/infocenter/Articles/9584/
Contributed by: Haci Mehmet Baskonus. This manuscript investigates the new acoustic wave behaviors of the Davey-Stewartson equation with power-law nonlinearity with the help of sine-Gordon expansion method. This technique yields many new acoustic wave behaviors such as hyperbolic, exponential and complex function structures to the problem considered.WolframMathematica 9 has been used throughout ...ArticlesWed, 20 Sep 2017 16:35:55 -0600A finite-strain solid-shell using local L¨owdin frames and least-squares strains
http://library.wolfram.com/infocenter/Articles/9582/
Contributed by: P. Areias, C. A. Mota Soares, T. Rabczuk, J. Garc¸˜ao. A finite-strain solid-shell element is proposed. It is based on least-squares in-plane assumed strains, assumed natural transverse shear and normal strains. The singular value decomposition (SVD) is used to define local (integration-point) orthogonal frames-ofreference solely from the Jacobian matrix. The complete ...ArticlesWed, 20 Sep 2017 16:33:31 -0600An analytic approach to sunset diagrams in chiral perturbation theory: Theory and practice
http://library.wolfram.com/infocenter/Articles/9581/
Contributed by: B. B. Ananthanarayan, Johan Bijnens, Shayan Ghosh, Aditya Hebbar. We demonstrate the use of several code implementations of the Mellin-Barnes method available in the public domain to derive analytic expressions for the sunset diagrams that arise in the two-loop contribution to the pion mass and decay constant in three-flavoured chiral perturbation theory. We also provide results ...ArticlesWed, 20 Sep 2017 16:31:11 -0600Processing Digital Images and Calculation of Beam Emittance (Pepper-Pot Method for the Krion Source)
http://library.wolfram.com/infocenter/Articles/9580/
Contributed by: V. S. Alexandrov, E. E. Donets, E. V. Nyukhalova, A. K. Kaminsky, S. N. Sedykh, A. V. Tuzikov, A. V. Philippov. Programs for the pre-processing of photographs of beam images on the mask based on Wolfram Mathematica and Origin software are described. Angles of rotation around the axis and in the vertical plane are taken into account in the generation of the file with image ...ArticlesWed, 20 Sep 2017 16:28:55 -0600A way of computer use in mathematics teaching -The effectiveness that visualization brings-
http://library.wolfram.com/infocenter/Articles/9579/
Contributed by: Shuichi Yamamoto, Naonori Ishii. We report a class of the mathematics in which an animation technology (calculating and plotting capabilities) of the software Mathematica is utilized. This class is taught for university students in a computer laboratory during a second semester. It is our purpose to make a student realize the usefulness and the importance of mathematics easily ...ArticlesTue, 19 Sep 2017 16:21:11 -0600Mathematics Education through Mathematica - On Visually Connected Understanding of Mathematical Properties -
http://library.wolfram.com/infocenter/Articles/9578/
Contributed by: Shuichi Yamamoto. ArticlesTue, 19 Sep 2017 16:17:56 -0600New facts concerning the approximation of the inverse Langevin function
http://library.wolfram.com/infocenter/Articles/9577/
Contributed by: Radosław Jedynak. The inverse Langevin function is an integral component for statistically-based network models which describe rubber-like materials. This function is very important from theoretical and practical points of view in variety of scientific fields like rheology, theory of magnetism and polymer science. It cannot be expressed in an explicit form and directly used ...ArticlesMon, 18 Sep 2017 16:58:07 -0600Riemannian Geometry and Tensor Analysis
http://library.wolfram.com/infocenter/MathSource/9576/
Contributed by: Rolf Sulanke. The notebook 'Pseudo-Riemannian Geometry and Tensor-Anaslysis' can be used as an interactive textbook introducing into this part of differential geometry. It continues the item 'An Interactive Textbook on Euclidean Differential Geometry', MathSource 9115, but it may be used indepedently of the mentioned textbook as a starting point for applications of Mathematica in ...MathSource: Packages and ProgramsMon, 28 Aug 2017 16:45:05 -0600