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Browsing Mathematics by Title

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  • The Asymmetric Active Coupler: Stable Nonlinear Supermodes and Directed Transport 
    Kominis, Yannis; Bountis, Tassos; Flach, Sergej (Scientific Reports, 2016-09-19)
    We consider the asymmetric active coupler (AAC) consisting of two coupled dissimilar waveguides with gain and loss. We show that under generic conditions, not restricted by parity-time symmetry, there exist finite-power, ...
  • The gamma half-Cauchy distribution: Properties and applications 
    Alzaatreh, Ayman; Mansoory, M.; Tahirz, M. H.; Zubair, M.; Ghazalik, Shakir Ali (Hacettepe Journal of Mathematics and Statistics, 2016)
    A new distribution, namely, the Gamma-Half-Cauchy distribution is proposed. Various properties of the Gamma-Half-Cauchy distribution are studied in detail such as limiting behavior, moments, mean deviations and Shannon ...
  • The implementation of the computer system Aleks for placement in mathematical courses at Nazarbayev university 
    Adaricheva, Kira; Assylbekov, Zh. (Nazarbayev University School of Science and Technology, 2013)
    The ALEKS computer system, well-known on the American con- tinent as an individualized teaching tool and placement test into a series of high school and college level courses, was implemented by the Mathematics Department ...
  • The logistic-X family of distributions and its applications 
    Tahir, M. H.; Cordeiro, Gauss M.; Alzaatreh, Ayman; Mansoor, M.; Zubair, M. (Communications in Statistics - Theory and Methods, 2016-12-16)
    The logistic distribution has a prominent role in the theory and practice of statistics. We introduce a new family of continuous distributions generated from a logistic random variable called the logistic-X family. Its ...
  • Variations on Barbalat's lemma 
    Farkas, Bálint; Wegner, Sven Ake (American Mathematical Monthly, 2016-10-01)
    It is not hard to prove that a uniformly continuous real function, whose integral up to infinity exists, vanishes at infinity, and it is probably little known that this statement runs under the name "Barbalat's lemma." In ...
  • Well-Posedness of the Nonlinear Schrödinger Equation 
    Orumbayeva, Sara (Nazarbayev University School of Science and Technology, 2019-08-07)
    The Nonlinear Schrödinger equation (NLSE) is a prototypical example of nonlinear partial differential equation. It is commonly used to describe propagation of light in nonlinear optical fibers and is of great importance ...