Paul N. Patrone1,2,∗ Russel E. Caflisch3,† and Dionisios Margetis4‡ Department of Physics, and Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, Maryland 20742, USA Center for Nanoscale Science and Technology, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA Department of Mathematics, and Institute for Pure and Appl...

Recently, Flores-Franulič et al. [A note on fuzzy integral inequality of Stolarsky type, Applied Mathematics and Computation 208 (2008) 55-59] proved the Stolarsky’s inequality for the Sugeno integral on the special class of continuous and strictly monotone functions. This result can be generalized to a general class of fuzzy convex functions in this paper. We also give a fuzzy integral inequal...

By Harry Buhrman, Matthias Christandl, Falk Unger, Stephanie Wehner and Andreas Winter 1 University of Amsterdam 2 Centrum voor Wiskunde en Informatica, Kruislaan 413, 1098 SJ Amsterdam, The Netherlands 3 Centre for Quantum Computation, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom 4 Department of Mathemat...

one may find out the application‎ ‎of mathematics in the areas of ecology‎, ‎biology‎, ‎environmental‎ ‎sciences etc‎. ‎mathematics is particulary used in the problem of‎ ‎predator-prey known as lotka-volterra predator-prey equations.‎ ‎indeed‎, ‎differential equations is employed very much in many areas‎ ‎of other sciences‎. ‎however‎, ‎most of natural problems involve some‎ ‎unknown functions...

A mathematical proof of how fast the diameters of a triangle mesh tend to zero after repeated trisection Francisco Perdomo a,b, Ángel Plaza a,b,∗, Eduardo Quevedo c, José P. Suárez a,d a Division of Mathematics, Graphics and Computation (MAGiC). IUMA, Information and Communication Systems, University of Las Palmas de Gran Canaria (ULPGC), Spain b Department of Mathematics, (ULPGC), Spain c Depa...

1 Department of Mathematics, Institute for Physical Science & Technology and Center for Scientific Computation And Mathematical Modeling (CSCAMM), University of Maryland College Park, MD 20742-3289 [email protected] 2 Department of Mathematics University of California Davis, CA 95616 [email protected] “Hyperbolic Problems: Theory, Numerics, Applications”, Proceedings of the 9th Inter...

Matthias Maier, ∗ Marios Mattheakis, † Efthimios Kaxiras, 3 Mitchell Luskin, and Dionisios Margetis School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455, USA School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA Department of Mathematics, and Insti...

Department of Mathematics, Center for Quantitative Sciences in Biomedicine, Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695, United States Max Planck Institute for Biochemistry, 82152 Martinsried, Germany Department of Molecular and Cellular Biology, The University of Arizona,Tucson, AZ 85721, United States Department of Applied Mathematics, Sch...

Systems of polynomial equations arise throughout mathematics, engineering, and the sciences. It is therefore a fundamental problem both in mathematics and in application areas to find the solution sets of polynomial systems. The focus of this paper is to compare two fundamentally different approaches to computing and representing the solutions of polynomial systems: numerical homotopy continuat...

The recent rise of “computer-assisted” and “experimental” mathematics raises intriguing questions as to the future role of computation in mathematics. These results also draw into question the traditional distinctions that have been drawn between formal proof and computationally-assisted proof. This article explores these questions in the context of the growing consensus among computer technolo...