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Name
International Journal of Mathematics and Mathematical Sciences
Type
Journal
Items
4972 Publications
Compatibility
not available
OAI-PMH
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  • A Combinatorial proof of a partition identity of Andrews and Stanley

    In his paper, “On a partition function of Richard Stanley,” George Andrews proves a certain partition identity analytically and asks for a combinatorial proof.This paper provides the requested combinatorial proof.

    Optimal Control of Multiple Transmission of Water-Borne Diseases

    A controlled SIWR model was considered which was an extension of the simple SIR model by adjoining a compartment ( 𝑊 ) that tracks the pathogen concentration in the water. New infections arise both through exposure to contaminated water as well as by the classical SIR person-person transmission pathway. The controls represent an immune boosting and pathogen suppressing drugs. The objective function is based on a combination of minimizing the number of infected individuals and the cost of the ...

    Completion of probabilistic normed spaces

    We prove that every probabilistic normed space, either according to the original definition given by Šerstnev, or according to the recent one introduced by Alsina, Schweizer and Sklar, has a completion.

    Characterization of convergence in fuzzy topological spaces

    In a fuzzy topology on a set X, the limit of a prefilter (i.e. a filter in the lattice [0,1]X) is calculated from the fuzzy closure. In this way convergence is derived from a fuzzy topology. In our paper we start with any rule “lim” which to any prefilter 𝔇 on X assigns, a function lim𝔇∈[0,1]X. We give necessary and sufficient conditions for the function 𝔇→lim𝔇 in order that it can be derived from a fuzzy topology.

    On generation and propagation of tsunamis in a shallow running ocean

    A theory is presented of the generation and propagation of the two and the three dimensional tsunamis in a shallow running ocean due to the action of an arbitrary ocean floor or ocean surface disturbance. Integral solutions for both two and three dimensional problems are obtained by using the generalized Fourier and Laplace transforms. An asymptotic analysis is carried out for the investigation of the principal features of the free surface elevation. It is found that the propagation of the ts...
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