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Articles 1 - 28 of 28
Full-Text Articles in Entire DC Network
The Second Hull Of A Knotted Curve, Jason Cantarella, Greg Kuperberg, Robert B. Kusner, John M. Sullivan
The Second Hull Of A Knotted Curve, Jason Cantarella, Greg Kuperberg, Robert B. Kusner, John M. Sullivan
Robert Kusner
The convex hull of a set K in space consists of points which are, in a certain sense, "surrounded" by K. When K is a closed curve, we define its higher hulls, consisting of points which are "multiply surrounded" by the curve. Our main theorem shows that if a curve is knotted then it has a nonempty second hull. This provides a new proof of the Fary/Milnor theorem that every knotted curve has total curvature at least 4pi.
Exact Multiplicity For Periodic Solutions Of Duffing Type, Hongbin Chen, Yi Li, Xiaojie Hou
Exact Multiplicity For Periodic Solutions Of Duffing Type, Hongbin Chen, Yi Li, Xiaojie Hou
Yi Li
In this paper, we study the following Duffing-type equation: x″+cx′+g(t,x)=h(t),
where g(t,x) is a 2π-periodic continuous function in t and concave–convex in x, and h(t) is a small continuous 2π-periodic function. The exact multiplicity and stability of periodic solutions are obtained.
The Global Dynamics Of Isothermal Chemical Systems With Critical Nonlinearity, Yi Li, Yuanwei Qi
The Global Dynamics Of Isothermal Chemical Systems With Critical Nonlinearity, Yi Li, Yuanwei Qi
Yi Li
In this paper, we study the Cauchy problem of a cubic autocatalytic chemical reaction system u1,t = u1,xx − uα1 uβ2, u2,t = du2,xx+ uα1 uβ2 with non-negative initial data, where the exponents α,β satisfy 1<α,β<2, α+β = 3 and the constant d>0 is the Lewis number. Our purpose is to study the global dynamics of solutions under mild decay of initial data as |x|→∞. We show the exact large time behaviour of solutions which is universal.
Investigations Of Nonstandard, Mickens-Type, Finite-Difference Schemes For Singular Boundary Value Problems In Cylindrical Or Spherical Coordinates, Ron Buckmire
Ron Buckmire
No abstract provided.
Balanced Configurations Of Lattice Vectors And Gkz-Rational Toric Fourfolds In P^6, Eduardo Cattani, Alicia Dickenstein
Balanced Configurations Of Lattice Vectors And Gkz-Rational Toric Fourfolds In P^6, Eduardo Cattani, Alicia Dickenstein
Eduardo Cattani
We introduce a notion of balanced configurations of vectors. This is motivated by the study of rational A-hypergeometric functions in the sense of Gelfand, Kapranov and Zelevinsky. We classify balanced configurations of seven plane vectors up to GL(2,R)-equivalence and deduce that the only gkz-rational toric four-folds in P6 are those varieties associated with an essential Cayley configuration. We show that in this case, all rational A-hypergeometric functions may be described in terms of toric residues. This follows from studying a suitable hyperplane arrangement.
Benefits Of A Comprehensive Undergraduate Teaching Assistant Program, Christopher Goff, Brigitte Lahme
Benefits Of A Comprehensive Undergraduate Teaching Assistant Program, Christopher Goff, Brigitte Lahme
Christopher Goff
Plane-Wave Impulse Approximation Extraction Of The Neutron Magnetic Form Factor From Quasielastic 3He → (E,E') At Q2=0.3 To 0.6(Gev/C)2, W. Xu, B. Anderson, L. Auberbach, T. Averett, W. Bertozzi, T. Black, J. Calarco, L. Cardman, G. D. Cates, Z. W. Chai, J. P. Chen, S. Choi, E. Chudakov, S. Churchwell, G. S. Corrado, C. Crawford, D. Dale, A. Deur, P. Djawotho, T. W. Donnelly, D. Dutta, J. M. Finn, H. Gao, R. Gilman, A. V. Glamazdin, C. Glashausser, W. Glockle, J. Golak, J. Gomez, V. G. Gorbenko, J. O. Hansen, F. W. Hersman, D. W. Higinbotham, R. Holmes, C. R. Howell, E. Hughes, B. Humensky, S. Incerti, C. W. De Jager, J. S. Jensen, X. Jiang, C. E. Jones, M. Jones, R. Kahl, H. Kamada, A. Kievsky, I. Kominis, W. Korsch, K. Kramer, G. Kumbartzki, M. Kuss, Enkeleida K. Lakuriqi, M. Liang, N. Liyanage, J. Lerose, S. Malov, D. J. Margaziotis, J. W. Martin, K. Mccormick, R. D. Mckeown, K. Mcilhany, Z. E. Meziani, R. Michaels, G. W. Miller, J. Mitchell, S. Nanda, E. Pace, T. Pavlin, G. G. Petratos, R. I. Pomatsalyuk, D. Pripstein, D. Prout, R. D. Ransome, Y. Roblin, M. Rvachev, A. Saha, G. Salme, M. Schnee, T. Shin, K. Slifer, P. A. Souder, S. Strauch, R Suleiman, M. Sutter, B. Tipton, L. Todor, M. Viviani, B. Vlahovic, J. Watson, C. F. Williamson, H. Witala, B. Wojtsekhowski, F. Xiong, J. Yeh, P. Zolnierczuk
Plane-Wave Impulse Approximation Extraction Of The Neutron Magnetic Form Factor From Quasielastic 3He → (E,E') At Q2=0.3 To 0.6(Gev/C)2, W. Xu, B. Anderson, L. Auberbach, T. Averett, W. Bertozzi, T. Black, J. Calarco, L. Cardman, G. D. Cates, Z. W. Chai, J. P. Chen, S. Choi, E. Chudakov, S. Churchwell, G. S. Corrado, C. Crawford, D. Dale, A. Deur, P. Djawotho, T. W. Donnelly, D. Dutta, J. M. Finn, H. Gao, R. Gilman, A. V. Glamazdin, C. Glashausser, W. Glockle, J. Golak, J. Gomez, V. G. Gorbenko, J. O. Hansen, F. W. Hersman, D. W. Higinbotham, R. Holmes, C. R. Howell, E. Hughes, B. Humensky, S. Incerti, C. W. De Jager, J. S. Jensen, X. Jiang, C. E. Jones, M. Jones, R. Kahl, H. Kamada, A. Kievsky, I. Kominis, W. Korsch, K. Kramer, G. Kumbartzki, M. Kuss, Enkeleida K. Lakuriqi, M. Liang, N. Liyanage, J. Lerose, S. Malov, D. J. Margaziotis, J. W. Martin, K. Mccormick, R. D. Mckeown, K. Mcilhany, Z. E. Meziani, R. Michaels, G. W. Miller, J. Mitchell, S. Nanda, E. Pace, T. Pavlin, G. G. Petratos, R. I. Pomatsalyuk, D. Pripstein, D. Prout, R. D. Ransome, Y. Roblin, M. Rvachev, A. Saha, G. Salme, M. Schnee, T. Shin, K. Slifer, P. A. Souder, S. Strauch, R Suleiman, M. Sutter, B. Tipton, L. Todor, M. Viviani, B. Vlahovic, J. Watson, C. F. Williamson, H. Witala, B. Wojtsekhowski, F. Xiong, J. Yeh, P. Zolnierczuk
Enkeleida K. Lakuriqi
A high precision measurement of the transverse spin-dependent asymmetry AT' in 3He→(e,e') quasielastic scattering was performed in Hall A at Jefferson Lab at values of the squared four-momentum transfer, Q2, between 0.1 and 0.6 (GeV/c)2.AT' is sensitive to the neutron magnetic form factor, GnM. Values of GnM at Q2=0.1 and 0.2(GeV/c)2, extracted using Faddeev calculations, were reported previously. Here, we report the extraction of GnM for the remaining Q2 values in the range from 0.3 to 0.6(GeV/c)2 using a …
Nonlinear Equations And Wavelets, Andrei Ludu
Radial Basis Function Interpolation: Numerical And Analytical Developments, Grady Wright
Radial Basis Function Interpolation: Numerical And Analytical Developments, Grady Wright
Grady Wright
The Radial Basis Function (RBF) method is one of the primary tools for interpolating multidimensional scattered data. The methods' ability to handle arbitrarily scattered data, to easily generalize to several space dimensions, and to provide spectral accuracy have made it particularly popular in several different types of applications. Some of the more recent of these applications include cartography, neural networks, medical imaging, and the numerical solution of partial differential equations (PDEs). In this thesis we study three issues with the RBF method that have received very little attention in the literature.
First, we focus on the behavior of RBF interpolants …
Relations Between $\Lambda{\Rm Bv}$ And ${\Rm Bv}(P(N)\Uparrow\Infty)$ Classes Of Functions, Ushangi Goginava
Relations Between $\Lambda{\Rm Bv}$ And ${\Rm Bv}(P(N)\Uparrow\Infty)$ Classes Of Functions, Ushangi Goginava
Ushangi Goginava
No abstract provided.
On The Uniform Convergence And $L$-Convergence Of Double Fourier Series With Respect To The Walsh-Kaczmarz System, Ushangi Goginava
On The Uniform Convergence And $L$-Convergence Of Double Fourier Series With Respect To The Walsh-Kaczmarz System, Ushangi Goginava
Ushangi Goginava
No abstract provided.
Evaluation Of Dedekind Sums, Eisenstein Cocycles, And Special Values Of L-Functions, Pe Gunnells, R Sczech
Evaluation Of Dedekind Sums, Eisenstein Cocycles, And Special Values Of L-Functions, Pe Gunnells, R Sczech
Paul Gunnells
We define higher-dimensional Dedekind sums that generalize the classical Dedekind-Rademacher sums as well as Zagier's sums, and we show how to compute them effectively using a generalization of the continued-fraction algorithm. We present two applications. First, we show how to express special values of partial zeta functions associated to totally real number fields in terms of these sums via the Eisenstein cocycle introduced by R. Sczech. Hence we obtain a polynomial time algorithm for computing these special values. Second, we show how to use our techniques to compute certain special values of the Witten zeta function, and we compute some …
Sensorimotor Coordination And The Structure Of Space, Gin Mccollum
Sensorimotor Coordination And The Structure Of Space, Gin Mccollum
Gin McCollum
Embedded in neural and behavioral organization is a structure of sensorimotor space. Both this embedded spatial structure and the structure of physical space inform sensorimotor control. This paper reviews studies in which the gravitational vertical and horizontal are crucial. The mathematical expressions of spatial geometry in these studies indicate methods for investigating sensorimotor control in freefall.
In freefall, the spatial structure introduced by gravitation – the distinction between vertical and horizontal – does not exist. However, an astronaut arriving in space carries the physiologically-embedded distinction between horizontal and vertical learned on earth. The physiological organization based on this distinction collapses …
Perturbation Of Global Solution Curves For Semilinear Problems, Philip Korman, Yi Li, Tiancheng Ouyang
Perturbation Of Global Solution Curves For Semilinear Problems, Philip Korman, Yi Li, Tiancheng Ouyang
Yi Li
We revisit the question of exact multiplicity of positive solutions for a class of Dirichlet problems for cubic-like nonlinearities, which we studied in 161. Instead of computing the direction of bifurcation as we did in [6], we use an indirect approach, and study the evolution of turning points. We give conditions under which the critical (turning) points continue on smooth curves, which allows us to reduce the problem to the easier case of f (0) = 0. We show that the smallest root of f (u) does not have to be restricted.
Multiple Solutions For An Inhomogeneous Semilinear Elliptic Equation In Rn, Yinbin Deng, Yi Li, Xuejin Zhao
Multiple Solutions For An Inhomogeneous Semilinear Elliptic Equation In Rn, Yinbin Deng, Yi Li, Xuejin Zhao
Yi Li
No abstract provided.
Assessing The Impacts Of Global Climate Changeon Forest Pests, J. A. Logan, J. Reniere, James A. Powell
Assessing The Impacts Of Global Climate Changeon Forest Pests, J. A. Logan, J. Reniere, James A. Powell
James A. Powell
No abstract provided.
Boundary-Type Quadrature And Boundary Element Method, Tian-Xiao He
Boundary-Type Quadrature And Boundary Element Method, Tian-Xiao He
Tian-Xiao He
In this paper, we apply a boundary-type quadrature technique to derive a type of boundary element scheme, which is used to solve the boundary-value problems of partial differential equations.Numerical examples for solving the exterior boundary-value problem of Helmholtz equation by using the spline approximation and the spline wavelet approximation are given.
Analytical Upstream Collocation Solution Of A Forced Steady-State Convection-Diffusion Equation, Stephen Brill
Analytical Upstream Collocation Solution Of A Forced Steady-State Convection-Diffusion Equation, Stephen Brill
Stephen H. Brill
We give herein formulas for the solution of the Hermite collocation discretization of a nonhomogeneous steady-state convection-diffusion equation in one spatial dimension and with constant coefficients, defined on a uniform mesh, with Dirichlet boundary conditions. The accuracy of the method is enhanced by employing "upsteam weighting" of the convective term in an optimal way. We discuss also the issue of where to optimally sample the forcing function. Computational examples illustrate the efficacy of the optimal upstream weighting technique combined with optimal sampling of the forcing function.
Length-Preserving Transformations On Polygons, Brad Ballinger
Length-Preserving Transformations On Polygons, Brad Ballinger
Brad Ballinger
Spectral Distribution Of Hermitian Toeplitz Matrices Formally Generated By Rational Functions, William F. Trench
Spectral Distribution Of Hermitian Toeplitz Matrices Formally Generated By Rational Functions, William F. Trench
William F. Trench
No abstract provided.
A Note On Asymptotic Zero Distribution Of Orthogonal Polynomials, William F. Trench
A Note On Asymptotic Zero Distribution Of Orthogonal Polynomials, William F. Trench
William F. Trench
No abstract provided.
A Family Of Isomorphic Fusion Algebras Of Twisted Quantum Doubles Of Finite Groups, Christopher Goff
A Family Of Isomorphic Fusion Algebras Of Twisted Quantum Doubles Of Finite Groups, Christopher Goff
Christopher Goff
Absolute Equal Distribution Of The Spectra Of Hermitian Matrices, William F. Trench
Absolute Equal Distribution Of The Spectra Of Hermitian Matrices, William F. Trench
William F. Trench
No abstract provided.
Absolute Equal Distribution Of Families Of Finite Sets, William F. Trench
Absolute Equal Distribution Of Families Of Finite Sets, William F. Trench
William F. Trench
No abstract provided.
Open Problems From The Linz2000 Closing Session, Lawrence N. Stout
Open Problems From The Linz2000 Closing Session, Lawrence N. Stout
Lawrence N. Stout
No abstract provided.
Strukturationen Der Interaktivität, Rudolf Kaehr
Linear Perturbations Of A Nonoscillatory Second Order Differential Equation Ii, William F. Trench
Linear Perturbations Of A Nonoscillatory Second Order Differential Equation Ii, William F. Trench
William F. Trench
No abstract provided.
Uniform Convergence Of Cesàro Means Of Negative Order Of Double Walsh-Fourier Series, Ushangi Goginava
Uniform Convergence Of Cesàro Means Of Negative Order Of Double Walsh-Fourier Series, Ushangi Goginava
Ushangi Goginava
No abstract provided.