7,649 research outputs found

    Chebyshev Type Integral Inequalities Involving the Fractional Hypergeometric Operators

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    By making use of the fractional hypergeometric operators, we establish certain new fractional integral inequalities for synchronous functions which are related to the weighted version of the Chebyshev functional. Some consequent results and special cases of the main results are also pointed out

    On the Design and Analysis of Parallel and Distributed Algorithms

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    Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide distributed processing using distributed file systems and processing units, while network is modeled as minimum cost spanning tree. On the other hand, the parallel processing chooses different language platforms, data parallel vs. parallel programming, and GPUs. Processing units, memory elements and storage are connected through dynamic distributed networks in the form of spanning trees. The article presents foundational algorithms, analysis, and efficiency considerations.Comment: 9 page

    On the D0D^0 -- DsD_s lifetime difference and τ→7π+ντ\tau\to 7\pi + \nu_\tau decays

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    In this paper we discuss some aspects of inclusive decays of charmed mesons and also decays of the τ\tau lepton into ντ+7π\nu_\tau + 7\pi. We find that phase space effects are likely to explain the observed lifetime ratio τ(Ds+)/τ(D0)\tau(D_s^+) / \tau(D^0) = 1.17. In particular one need not appeal to a large annihilation contribution in the inclusive D0D^0 decay which, being absent in Ds+D_s^+ decays could also contribute to the enhanced D0D^0 decay rate relative to that of the Ds+D_s^+. Examining a separate problem, we find that the rate for τ→ντ+7π\tau\to \nu_\tau + 7\pi is almost completely dominated by the tiny phase space for the final eight particle state. Using an effective chiral Lagrangian to estimate the matrix element yields a branching ratio into the channel of interest far smaller than the present upper bound.Comment: No figure

    Palladium nanocatalysts encapsulated on porous silica @ magnetic carbon-coated cobalt nanoparticles for sustainable hydrogenations of nitroarenes, alkenes and alkynes

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    Palladium nanoparticles were impregnated on porous silica shell carbon-coated cobalt nanoparticles, resulting in a magnetically retrievable material that was evaluated in the catalytic hydrogenation of nitroarenes, alkenes and alkynes. The prepared material was characterized by HR-XRD, HR-TEM, elemental mapping EDX, ICP-OES and XPS analyses, revealing highly dispersed palladium nanoparticles within the porous platform that could account for the high activity observed. Mild reaction conditions, easy retrievability of the catalyst with the aid of an external magnet, recycling in four runs with a total leaching of 19 ppm (1.2 % of the initially employed Pd amount), and high stability makes this material attractive for sustainable and environmentally benign applications

    Certain Expansion Formulae Involving a Basic Analogue of Fox’s H-Function

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    Certain expansion formulae for a basic analogue of the Fox’s H-function have been derived by the applications of the q-Leibniz rule for the Weyl type q-derivatives of a product of two functions. Expansion formulae involving a basic analogue of Meijer’s G-function and MacRobert’s E-function have been derived as special cases of the main results

    Annual radial growth cycle of grapevine trunk in the tropics

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    The annual radial trunk growth cycle in V. vinifera var. Anab-e-Shahi was studied in the tropics where the vines are pruned twice a year. Although vines grow continuously without any period of dormancy, a consistant pattern of maximum girth increment from April to September altemating with negligible increment from October to March was observed. The rate of annual girth increment was high during juvenile period and steadily decreased later. There is further need to study the physiology of growth and fruiting of tropical grapevines under conditions of nondormancy as modified by two prunings in a year.Der jährliche Wachstumszyklus der Stammdicke von Reben in den TropenDie Rebensorte Anab-e-Shahi (Vitis vinifera) wird in den Tropen jährlich zweimal geschnitten. Der jährliche Wachstumszyklus der Stammdicke unter diesen Bedingungen wurde untersucht. Obgleich die Reben kontinuierlich - ohne jede Ruheperiode - wachsen, wurde durchweg von April bis September ein maximaler Zuwachs des Stammumfanges und von Oktober bis März nur ein unbedeutendes Dickenwachstum festgestellt. Die jährliche Zuwachsrate des Stammumfanges war beim jungen Weinstock hoch; später nahm sie ständig ab. Weitere Untersuchungen zur Physiologie des Wachstums und der Fruchtentwicklung von Reben unter tropischen Bedingungen, d. h. ohne Zwischenschaltung einer Ruheperiode und modifiziert durch zweimaligen Rebschnitt, sind erforderlich
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