107,827 research outputs found

    Kuznetsov independence for interval-valued expectations and sets of probability distributions: Properties and algorithms

    No full text
    Kuznetsov independence of variables X and Y means that, for any pair of bounded functions f(X) and g(Y), E[f(X)g(Y)]=E[f(X)] *times* E[g(Y)], where E[.] denotes interval-valued expectation and *times* denotes interval multiplication. We present properties of Kuznetsov independence for several variables, and connect it with other concepts of independence in the literature; in particular we show that strong extensions are always included in sets of probability distributions whose lower and upper expectations satisfy Kuznetsov independence. We introduce an algorithm that computes lower expectations subject to judgments of Kuznetsov independence by mixing column generation techniques with nonlinear programming. Finally, we define a concept of conditional Kuznetsov independence, and study its graphoid properties

    The Improved (G’/G)-Expansion Method for the (2+1)-Dimensional Modified Zakharov-Kuznetsov Equation

    Get PDF
    we apply the improved (G′/G)-expansion method for constructing abundant new exact traveling wave solutions of the (2+1)-dimensional Modified Zakharov-Kuznetsov equation. In addition, G″+λG′+μG=0 together with b(α)=∑q=−wwpq(G′/G)q is employed in this method, where pq (q=0,±1,±2,…,±w), λ and μ are constants. Moreover, the obtained solutions including solitons and periodic solutions are described by three different families. Also, it is noteworthy to mention out that, some of our solutions are coincided with already published results, if parameters taken particular values. Furthermore, the graphical presentations are demonstrated for some of newly obtained solutions

    Pavelius Kuznetsov & Levenstein 1988

    No full text
    Pavelius Kuznetsov & Levenstein, 1988 Type species: Pavelius uschakovi Kuznetsov & Levenstein, 1988 Generic diagnosis (emended). Prostomium without lobes or glandular ridges. Buccal tentacles smooth. Four pairs of branchiae. Notochaetae in segment II present, followed by fifteen thoracic chaetigers. Twelve thoracic uncinigers. Two intermediate uncinigers. Males with one pair of nephridial papillae above notopodia of first thoracic unciniger. Remarks. The generic diagnosis was emended to accommodate our findings in the newly described species. The genus was described lacking notopodial rudiments, which we found in the intermediate uncinigers and first abdominal unciniger. The large nephridial papillae above the notopodia of the first thoracic unciniger only seem to occur in male specimens. We do not follow Jirkov (2001, 2011), who suggested to synonymize Pavelius with Phyllocomus Grube, 1878. Phyllocomus is characterized by strongly modified branchiae and a very large number of abdominal uncinigers.Published as part of Reuscher, Michael G. & Fiege, Dieter, 2016, Ampharetidae (Annelida: Polychaeta) from cold seeps off Pakistan and hydrothermal vents off Taiwan, with the description of three new species, pp. 197-208 in Zootaxa 4139 (2) on page 204, DOI: 10.11646/zootaxa.4139.2.4, http://zenodo.org/record/26211

    New (G′/G)-expansion method and its application to the Zakharov-Kuznetsov–Benjamin-Bona-Mahony (ZK–BBM) equation

    No full text
    AbstractIn this article, new (G′/G)-expansion method is used to look for the traveling wave solutions of nonlinear evolution equations and abundant traveling wave solutions to the Zakharov-Kuznetsov–Benjamin-Bona-Mahony equation are constructed. The performance of the method is reliable, useful and gives more new general exact solutions than the existing methods

    SPT 2004 - Symmetry and Perturbation Theory

    No full text
    SPT 2004 Symmetry and Perturbation Theory 30 May - 6 June 2004, Cala Gonone (Sardinia, Italy) Scientific Committee: S. Abenda (Bologna, I), D. Bambusi (Milano, I), G. Cicogna (Pisa, I), A. Degasperis (Roma, I), G. Gaeta (Milano, I), V. Kuznetsov (Leeds, UK), G. Marmo (Napoli, I), P. Olver (Minneapolis, USA), J.P. Ortega (Besançon, F), S. Rauch (Linkoping, S), E. Sousa Dias (Lisboa, P), S. Terracini (Milano, I), F. Verhulst (Utrecht, NL), S. Walcher (Aachen, D), B. Zhilinskii (Dunquerque, F) Organizing Commitee: A. Degasperis (Roma), G. Gaeta (Milano), B. Prinari (Lecce), S. Terracini (Milano) The conference is the fifth of a series begun in 1996. The principal aim of the series of conference is to join together researchers from areas of pure and applied mathematics, physics and chemistry to present their most recent and innovative achievements in the field of symmetries, perturbation and integrable systems. Conference proceedings are published by World Scientific

    P.G. Kuznetsov and the Problem of Sustainable Development of Humanity in the Nature - Society - Man System

    Get PDF
    This book is devoted to the formation and development of scientific and engineering views on topical issues of sustainable development in the "nature - society - man" system. It is especially important in the context of the global systemic crisis, when the need for new scientific ideas and innovative engineering solutions is urgent. The paper briefly provides the legacy of outstanding Russian scientist Pobisk G. Kuznetsov in the field of science and engineering for sustainable development. It shows the possibility of scientific solutions for extremely complex issues of sustainable development. The book is intended for students, post-graduate students, young scientists and a wide range of specialists in scientific, technical and social areas, interested in the problem of designing and managing sustainable innovative development in the "nature - society - man" system. This work is supported by Russian Foundation for Basic Research (project #12—06—00286—a) and Kazakhstan Ministry of Science and Education (according to "Intellectual potential of the country" priority; topic: "Rationale, development and implementation of research and educational training programs in the design and management of sustainable and innovative energy-ecological development in the regions, sectors and enterprises of the Republic of Kazakhstan")

    dataset

    No full text
    Numbers on digital platform revenu

    Prime Fano threefolds of genus 12 with a GmG_m-action

    No full text
    We give an explicit construction of prime Fano threefolds of genus 12 with aGmG_m-action, describe their isomorphism classes and automorphism groups.Comment: 14 pages, LaTeX, updated version, to appear in \'Epijournal de G\'eom\'etrie Alg\'ebrique, Vol. 2 (2018), Article Nr.

    Lie Symmetry Analysis, Nonlinear Self-adjointness and Conservation Laws To an Extended (2+1)-Dimensional Zakharov–Kuznetsov–Burgers Equation

    Get PDF
    (2+1)-dimensional Zakharov-Kuznetsov-Bergers EquationLie Symmetry AnalysisNonlinear Self-adjointnessConservation LawsWang, G, Fakhar K. (2015). Lie symmetry analysis, nonlinear self-adjointness and conservation laws to an extended (2+1)-dimensional Zakharov-Kuznetsov-Burgers equation. Computers & Fluids, 119, 22 September 2015, Pages 143-148. “The final publication is available at Springer via : http://dx.doi.org/10.1016/j.compfluid.2015.06.033Peer reviewedFurthermore, the author may only post his/her version provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be provided by inserting the DOI number of the article in the following sentence: “The final publication is available at Springer via http://dx.doi.org/[insert DOI]”."Must link to publisher version with DOI Author's post-print must be released with a Creative Commons Attribution Non-Commercial No Derivatives LicensePeer reviewedThis work is embargoed until October 1, 2017
    corecore