Wolfram Library Archive: What's New
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Wolfram Library Archive: What's New
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DeepCube
http://library.wolfram.com/infocenter/MathSource/9205/
Contributed by: Lou Palumbo. DeepCube is a computer simulation of a generalized 3D cube puzzle. Inspired by the popular and timetested Rubik's Cube, it extends the original 3x3x3 cube concept to cube lengths ranging from 1 through 9. Additionally, it models the motions and orientations of interior as well as exterior subcubes, each with all six of their faces viewable and appropriately colored. ...
MathSource: Packages and Programs
Mon, 29 Jun 2015 11:23:42 0600

New travelling wave solutions for coupled fractional variant Boussinesq equation and approximate long water wave equation
http://library.wolfram.com/infocenter/Articles/9204/
Contributed by: Limei Yan. Purpose  The purpose of this paper is to apply the fractional subequation method to research on coupled fractional variant Boussinesq equation and fractional approximate long water wave equation. Design/methodology/approach  The algorithm is implemented with the aid of fractional Ricatti equation and the symbol computational system Mathematica. Findings  New ...
Articles
Tue, 23 Jun 2015 17:12:44 0600

Mathematica tools for uncertainty analysis
http://library.wolfram.com/infocenter/Articles/9203/
Contributed by: M. D. Mikhailov, V Y Aibe. Some functions of the author´s Mathematica 9 package are presented. Links are given to the author´s interactive demonstrations. Mathematica supports 143 types of statistical distribution covering not only metrology but almost all statistical areas. The Supplement 1 to the ISO GUM mentions that analytical methods are ideal ones, but assume they are ...
Articles
Tue, 23 Jun 2015 17:10:40 0600

Thermoelastic Analysis of Functionally Graded Rotating Disks with Variable Thickness Involving NonUniform Heat Source
http://library.wolfram.com/infocenter/Articles/9202/
Contributed by: S.Y. Leu, L.C. Chien. The research aims to investigate thermoelastic behavior of functionally graded rotating disks with variable thickness involving a nonuniform heat source. We assume material properties and thickness of rotating disks to vary in the radial direction. Axisymmetric thermal loads including nonuniform heat source, heat flux, and temperature boundary conditions ...
Articles
Tue, 23 Jun 2015 17:08:50 0600

A Return Stroke NOx Production Model
http://library.wolfram.com/infocenter/Articles/9201/
Contributed by: WILLIAM J. KOSHAK, RICHARD J. SOLAKIEWICZ, HAROLD S. PETERSON. A model is introduced for estimating the nitrogen oxides (NOx 5 NO 1 NO2) production from a lightning return stroke channel. A realistic modified transmission line model return stroke current is assumed to propagate vertically upward along a stepped leader channel of 0.1cmradius. With additional assumptions about the ...
Articles
Tue, 23 Jun 2015 17:06:06 0600

Conditions for the parameters of the block graph of quasisymmetric designs
http://library.wolfram.com/infocenter/Articles/9200/
Contributed by: Rajendra M. Pawale, Mohan S. Shrikhande, Shubhada M. Nyayate. A quasisymmetric design (QSD) is a 2(v; k; ) design with intersection numbers x and y with x < y. The block graph of such a design is formed on its blocks with two distinct blocks being adjacent if they intersect in y points. It is well known that the block graph of a QSD is a strongly regular graph (SRG) with ...
Articles
Tue, 23 Jun 2015 17:03:37 0600

Two interacting ellipsoidal inhomogeneities: Applications in geoscience
http://library.wolfram.com/infocenter/Articles/9199/
Contributed by: Houman Bedayat, Arash Dahi Taleghani. We developed a method and presented it as a Mathematica code to calculate the stress and strain fields inside and outside of two interacting ellipsoidal inhomogeneities with arbitrary orientation with respect to each other, using the Eshelby technique. The Eshelby technique can be used to determine the elastic fields in and around these ...
Articles
Tue, 23 Jun 2015 17:01:09 0600

Simulation of a Quantum Algorithm for Phase Estimation
http://library.wolfram.com/infocenter/Articles/9198/
Contributed by: A. N. Prokopenya. A quantum algorithm for estimating the phase, which determines the eigenvalue of a unitary operator, is discussed. It is assumed that the eigenvector of this operator and the corresponding quantum circuit are given. The memory register where the approximate phase value is stored consists of n qubits, which makes it possible to determine the phase accurate to 2n ...
Articles
Tue, 23 Jun 2015 16:58:42 0600

CLASSIFICATION OF 4DIMENSIONAL HOMOGENEOUS WEAKLY EINSTEIN MANIFOLDS
http://library.wolfram.com/infocenter/Articles/9197/
Contributed by: Teresa AriasMarco, Oldřich Kowalski. Y.Euh, J. Park and K. Sekigawa were the first authors who defined the concept of a weakly Einstein Riemannian manifold as a modification of that of an Einstein Riemannian manifold. The defining formula is expressed in terms of the Riemannian scalar invariants of degree two. This concept was inspired by that of a superEinstein manifold ...
Articles
Tue, 23 Jun 2015 16:56:40 0600

Links and Planar Diagram Codes
http://library.wolfram.com/infocenter/Articles/9196/
Contributed by: Matt Mastin. In this paper we formalize a combinatorial object for describing link diagrams called a Planar Diagram Code (PDCode). PDcodes are used by the KnotTheory Mathematica package developed by BarNatan et al. We present the set of PDcodes as a standalone object and discuss its relationship with link diagrams. We give an explicit algorithm for reconstructing a knot ...
Articles
Tue, 23 Jun 2015 16:53:47 0600

A new visualization and conceptualization of categorical longitudinal development:measurement invariance and change
http://library.wolfram.com/infocenter/Articles/9195/
Contributed by: Jan Boom. The Overlapping Waves Model (OWM) is a metaphor introduced by Siegler (1996) to illustrate a typical sequence of increasing and decreasing use of strategies during development. Going beyond metaphor, a new model synthesized from Latent Growth Modeling (LGM) and Item Response Theory (IRT) will be presented to analyze such categorical longitudinal data. Use of strategies ...
Articles
Tue, 23 Jun 2015 16:42:42 0600

On the equilibrium point L1 in the photogravitational oblate relativistic R3BP with application on Sunplanet systems
http://library.wolfram.com/infocenter/Articles/9194/
Contributed by: F.A. Abd ElSalam, D. A. Katour, M. O. Shaker. In the present article the effects of the relativistic, photogravitational and oblateness perturbations in restricted threebody problem, in brief R3BP are investigated. The relativistic effects and the dynamical shape of both radiant primaries are taken into account. The perturbed location of the collinear point L1 is computed. ...
Articles
Tue, 23 Jun 2015 16:40:34 0600

FIRE5: A C++ implementation of Feynman Integral REduction
http://library.wolfram.com/infocenter/Articles/9193/
Contributed by: A.V. Smirnov. In this paper the C++ version of FIRE is presented  a powerful program performing Feynman integral reduction to master integrals. All previous versions used only Wolfram Mathematica, the current version mostly uses Wolfram Mathematica as a frontend. However, the most complicated part, the reduction itself can now be done by C++, which significantly improves the ...
Articles
Tue, 23 Jun 2015 16:36:02 0600

HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematicabased packages for the differential reduction of generalized hypergeometric functions: Horntype hypergeometric functions of two variables
http://library.wolfram.com/infocenter/Articles/9192/
Contributed by: Vladimir V. Bytev, Bernd A. Kniehl. HYPERDIRE is a project devoted to the creation of a set of Mathematicabased programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horntype hypergeometric functions of two variables, including 30 functions.
Articles
Tue, 23 Jun 2015 16:34:30 0600

A Mathematica package for calculation of oneloop penguins in FCNC processes
http://library.wolfram.com/infocenter/Articles/9191/
Contributed by: A.V. Bednyakov, cSükrü Hanif Tanyldz. In this work, we present a Mathematica package Peng4BSM@LO which calculates the contributions to the Wilson Coe±cients of certain e®ective operators originating from the oneloop penguin Feynman diagrams. Both vector and scalar external legs are considered. The key feature of our package is the ability to Żnd the corresponding expressions ...
Articles
Tue, 23 Jun 2015 16:32:39 0600

On a fourthorder matrix method for computing polar decomposition
http://library.wolfram.com/infocenter/Articles/9190/
Contributed by: Farhad Khaksar Haghani, Fazlollah Soleymani. The purpose of this article is to study the construction of a higherorder matrix method for computing polar decomposition of any arbitrary matrix. It is shown analytically that the new method is convergent and possesses fourth order. The results of the paper are illustrated by numerical examples.
Articles
Tue, 23 Jun 2015 16:30:51 0600

Approximation of the exponential integral (well function) using sampling methods
http://library.wolfram.com/infocenter/Articles/9189/
Contributed by: Husam Musa Baalousha. Exponential integral (also known as well function) is often used in hydrogeology to solve Theis and Hantush equations. Many methods have been developed to approximate the exponential integral. Most of these methods are based on numerical approximations and are valid for a certain range of the argument value. This paper presents a new approach to approximate ...
Articles
Tue, 23 Jun 2015 16:28:28 0600

The heterogeneity statistic I2 can be biased in small metaanalyses
http://library.wolfram.com/infocenter/Articles/9188/
Contributed by: Paul T. von Hippel. Background: Estimated effects vary across studies, partly because of random sampling error and partly because of heterogeneity. In metaanalysis, the fraction of variance that is due to heterogeneity is estimated by the statistic I2. We calculate the bias of I2, focusing on the situation where the number of studies in the metaanalysis is small. Small ...
Articles
Tue, 23 Jun 2015 16:26:26 0600

Application of the HAMbased Mathematica package BVPh 2.0 on MHD FalknerSkan flow of nanofluid
http://library.wolfram.com/infocenter/Articles/9187/
Contributed by: U. Farooq, Y.L. Zhao, T. Hayat, A. Alsaedi, Shijun Liao. Many boundarylayer flows are governed by one or coupled nonlinear ordinary differential equations (ODEs). Currently, a Mathematica package BVPh 2.0 is issued for nonlinear boundaryvalue/eigenvalue problems with boundary conditions at multiple points. The BVPh 2.0 is based on an analytic approximation method for highly ...
Articles
Tue, 23 Jun 2015 16:24:05 0600

anQCD: A Mathematica package for calculations in general analytic QCD models
http://library.wolfram.com/infocenter/Articles/9186/
Contributed by: C. Ayala, Gorazd Cvetič. We provide a Mathematica package that evaluates the QCD analytic couplings (in the complex domain) Aν (Q2), which are analytic analogs of the powers a(Q2)ν of the underlying perturbative QCD (pQCD) coupling a(Q2) ≡ αs(Q2)/π, in three analytic QCD models (anQCD): Fractional Analytic Perturbation Theory (FAPT), Twodelta ...
Articles
Tue, 23 Jun 2015 16:21:24 0600

FlexibleSUSYA spectrum generator generator for supersymmetric models
http://library.wolfram.com/infocenter/Articles/9185/
Contributed by: Peter Athron, Jaehyeon Park, Dominik Stockinger, Alexander Voigt. Weintroduce FlexibleSUSY, a Mathematica and C++ package, which generates a fast, precise C++ spectrum generator for any SUSY model specified by the user. The generated code is designed with both speed and modularity in mind, making it easy to adapt and extend with new features. The model is specified by supplying ...
Articles
Tue, 23 Jun 2015 16:19:29 0600

A new definition for defuzzification of generalized fuzzy numbers and its application
http://library.wolfram.com/infocenter/Articles/9184/
Contributed by: H. Rouhparvar, A. Panahi. In this paper, a new approach for defuzzification of generalized fuzzy numbers is established. This method uses the incentre point of a triangle where the three bisector lines of its angles meet. Coordinates of incentre point can also be easily calculated by the 'Mathematica' package to solve problems of defuzzification and ranking fuzzy numbers. Some ...
Articles
Tue, 23 Jun 2015 16:16:28 0600

StrainModeler:A MATHEMATICA™based program for 3D analysis of finite and progressive strain
http://library.wolfram.com/infocenter/Articles/9183/
Contributed by: N. C. BobilloAres, J. Aller, F. Bastida, Omar Menéndez, Richard J. Lisle. StrainModeler is a program constructed in the Mathematica™ environment that performs 3D progressive strain calculations for lines and planes undergoing any sequence of homogeneous deformations. The main inputs to the system define the initial line or plane to be deformed and the deformation sequence to be ...
Articles
Tue, 23 Jun 2015 16:13:18 0600

Chebyshev Orthogonal Collocation Technique to Solve Transport Phenomena Problems With Matlab and Mathematica
http://library.wolfram.com/infocenter/Articles/9182/
Contributed by: Housam Binous, ABDULLAH A. SHAIKH, Ahmed Bellagi. We present in this pedagogical paper an alternative numerical method for the resolution of transport phenomena problems encountered in the teaching of the required course on transport phenomena in the graduate chemical engineering curricula. Based on the Chebyshev orthogonal collocation technique implemented in Matlab1 and ...
Articles
Tue, 23 Jun 2015 16:10:09 0600

Introduction of the ArcLength Continuation Technique in the Chemical Engineering Graduate Program at KFUPM
http://library.wolfram.com/infocenter/Articles/9181/
Contributed by: Housam Binous, ABDULLAH A. SHAIKH. The present paper describes the arclength continuation method; a mathematical technique that can solve a wide variety of chemical engineering problems. Several case studies involving distillation, reaction engineering, and thermodynamics are treated with the help of this method. The approach is powerful enough to elucidate situations when ...
Articles
Tue, 23 Jun 2015 16:08:17 0600

Numerical analysis of galactic rotation curves
http://library.wolfram.com/infocenter/Articles/9180/
Contributed by: G. Scelza, A. Stabile. In this paper we present the discussion on the salient points of the computational analysis that are at the basis of the paper Rotation Curves of Galaxies by Fourth Order Gravity (Stabile and Scelza, Phys. Rev. D, 84:124023, 2011). In fact in this paper any galactic component (bulge, disk and Dark matter component) required an onerous numerical computation ...
Articles
Tue, 23 Jun 2015 16:05:37 0600

Finite strain quadrilateral shell using leastsquares fit of relative Lagrangian inplane strains
http://library.wolfram.com/infocenter/Articles/9179/
Contributed by: P. Areias, T. Rabczuk, J.M. Césarde Sá, J.E. Garçăo. This work presents a finite strain quadrilateral element with leastsquares assumed inplane shear strains (in covariant/contravariant coordinates) and classical transverse shear assumed strains. It is an alternative to enhancedassumedstrain (EAS) formulation and, in contrast to this, produces an element satisfying ab initio ...
Articles
Tue, 23 Jun 2015 16:01:52 0600

Extension of Mathematica System Functionality
http://library.wolfram.com/infocenter/Books/9178/
Contributed by: Viktor Aladjev, V. A. Vaganov. Systems of computer mathematics find more and more broad application in a number of natural, economical and social fields. These systems are rather important tools for scientists, teachers, researchers and engineers, very well combining symbolical methods with advanced computing methods. One of leaders among means of this class undoubtedly is the ...
Books
Tue, 23 Jun 2015 10:51:50 0600

A Primer of NMR Theory with Calculations in Mathematica
http://library.wolfram.com/infocenter/Books/9177/
Contributed by: Alan J. Benesi. Presents the theory of NMR enhanced with Mathematica© notebooks * Provides short, focused chapters with brief explanations of welldefined topics with an emphasis on a mathematical description * Presents essential results from quantum mechanics concisely and for easy use in predicting and simulating the results of NMR experiments * Includes Mathematica notebooks ...
Books
Tue, 23 Jun 2015 10:45:36 0600

MembraneWorlds
http://library.wolfram.com/infocenter/MathSource/9176/
Contributed by: Mikael Beuthe. MembraneWorlds illustrates the membrane approach to computing viscoelastic tidal (and load) Love numbers of 'membrane worlds', i.e. icy satellites having a subsurface ocean under a thin crust. These numbers are relevant to crust thickness estimates, tidal tectonics, tidal dissipation, true polar wander, tides in Titan's seas, atmospheric loading etc. In contrast ...
MathSource: Packages and Programs
Thu, 18 Jun 2015 14:47:13 0600

Stability of pressureloaded functionally graded cylindrical shells with inelastic material properties
http://library.wolfram.com/infocenter/Articles/9175/
Contributed by: Huaiwei Huang, Qiang Han. Few researches have focused on elastoplastic mechanical performances of functionally graded plates and shells. In this paper, elastoplastic and plastic buckling behaviors of externally pressured cylindrical shells made from functionally graded materials are investigated by using Donnell shell theory. Either J2J2 flow theory or J2J2 deformation theory ...
Articles
Wed, 17 Jun 2015 16:28:05 0600

LieARTA Mathematica application for Lie algebras and representation theory
http://library.wolfram.com/infocenter/Articles/9174/
Contributed by: Robert Feger, Thomas W. Kephart. We present the Mathematica application ''LieART'' (Lie Algebras and Representation Theory) for computations frequently encountered in Lie algebras and representation theory, such as tensor product decomposition and subalgebra branching of irreducible representations. LieART can handle all classical and exceptional Lie algebras. It computes root ...
Articles
Wed, 17 Jun 2015 16:22:03 0600