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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Bechir Mahamat Acyl, Shuangping Tao, Omer Khalill
In this paper, we prove the boundedness of Calderón-Zygmund singular integral operators T Ω on grand Herz spaces with variable exponent under some conditions.
Hans Werner Schürmann, Valery Serov
A subset of traveling wave solutions of the quintic complex Ginzburg-Landau equation (QCGLE) is presented in compact form. The approach consists of the following parts: 1) Reduction of the QCGLE to a system of two ordinary differential equations (ODEs) by a t…
Isaac Fried
Considered in this note are numerical tracking algorithms for the accurate following of implicit curves. We start with a fixed point on the curve, and then systematically place on it additional points, one after the other. In this note we first go over the ba…
Gene Whyman
The Newcomb-Benford law, which describes the uneven distribution of the frequencies of digits in data sets, is by its nature probabilistic. Therefore, the main goal of this work was to derive formulas for the permissible deviations of the above frequencies (c…
Mohammad Shaha Alam Patwary, Soma Chowdhury Biswas
Bangladesh, a developing country, gained success towards the fifth-millennium development goals target of reducing its maternal mortality ratio by three quarters by 2015, but yet worked more on it for further reduction of maternal mortality. In this light, th…
Ning Zhao
We employ graph parameter, the rupture degree, to measure the vulnerability of k -uniform hypergraph G k . For the k-uniform hypergraph G k underlying a non-complete graph G = ( V , E ), its rupture degree r ( G k ) is defined as r ( G k ) = max{ ω ( G k - X…
José Bavio, Carina Fernández, Patricia Fernández, Beatriz Marrón
In this study, we analyze how vitamin D (VD) serum levels flow with latitude and throughout seasons of the year within a population sample over three years, taking into account that VD is mainly photosynthesized in the skin from sun exposure. Vitamin D levels…
Qing Li
In classic mechanics, the force is the interaction of matter, and it is also the basic reason for accelerated motion of objects. In general relativity, the force is no longer the interaction of objects, but the result of curvature of space and time. In this p…
Jan Vrbik
In most textbooks, lens aberrations are usually described in the briefest possible manner, without any attempt for their proper derivation. At the same time, monographs which do go into more detail are often inaccessible to most students and non-specialists i…
Abdelkrim Barbara, El Houcine Rami, Elhoussine Azroul
We consider, for a bounded open domain Ω in R n and a function u : Ω → R m , the quasilinear elliptic system: (1). We generalize the system ( QES ) ( f , g ) in considering a right hand side depending on the jacobian matrix Du . Here, the star in ( QES ) ( f…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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