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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus…
Walter Schubert, 1 1
This article deals with a molecular geometry imaging platform capable of mapping the spatial protein-colocalisation and anti-colocalisation code of large molecular systems at a time. The platform called molecular unlimited systems imaging cycler (MUSIC) robot…
Kazuyuki Fujii
We elucidate a practical method in Deep Learning called the minibatch which is very useful to avoid local minima. The mathematical structure of this method is, however, a bit obscure. We emphasize that a certain condition, which is not explicitly stated in or…
Sankhanil Dey, Ranjan Ghosh
4-bit linear relations play an important role in cryptanalysis of 4-bit crypto S-boxes. 4-bit finite differences have also been a major part of cryptanalysis of 4-bit S-boxes. Existence of all 4-bit linear relations have been counted for all of 16 input and 1…
Natalia Inozemtseva, Jaroslav Dittrich, Vladimir Inozemtsev
We propose the exact solution of the equation in separated variable which appears in the process of constructing solutions to the quantum Calogero-Moser three-particle problem with elliptic two-particle potential . This solution is found for special values of…
Wenkui He, Otto Richter
The principle aim of this work is to simulate the invasion of two invasive mosquito species Aedes aegypti and Aedes albopictus in central Europe at a landscape scale. The spatial-temporal dynamics of invasion is investigated in dependence of predation pressur…
Sie Long Kek, Sy Yi Sim, Wah June Leong, Kok Lay Teo
In this paper, a computational approach is proposed for solving the discrete-time nonlinear optimal control problem, which is disturbed by a sequence of random noises. Because of the exact solution of such optimal control problem is impossible to be obtained,…
Petros Kelkile Desalegn, Samuel Mwalili, John Mango
We present in this article an epidemic model with saturated in metapopulation setting. We develop the mathematical modelling of HIV transmission among adults in Metapopulation setting. We discussed the positivity of the system. We calculated the reproduction…
Akio Matsumoto, Keiko Nakayama, Ferenc Szidarovszky
It is well-known that Goodwin ’ s nonlinear delay accelerator model can generate diverse oscillations ( i.e ., smooth and sawtooth oscillations). It is, however, less-known what conditions are needed for these dynamics to emerge. In this study, using a piecew…
Ahmet Oğuz Balcı, Neşet Aydin, Selin Türkmen
In this paper, it is defined that left *- α -derivation, generalized left * - α -derivation and * - α -derivation, generalized * - α -derivation of a * -ring where α is a homomorphism. The results which proved for generalized left * -derivation of R in [1] ar…
Fei Ye, Xian Luo, Wanzhou Ye
In this paper, we proposed an iterative reweighted <i>l</i><sub>1</sub> penalty regression approach to solve the line spectral estimation problem. In each iteration process, we first use the ideal of Bayesian lasso to update the sparse vectors ; the derivativ…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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