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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…
Hunida Malaikah, Jawaher Faisal Al-Abdali
Financial systems are inherently complex, exhibiting memory effects, nonlinearity, and evolving dynamics that cannot be adequately captured by traditional differential models. This study introduces a novel financial system modeled using variable-order fractio…
Gary C. McDonald, Jezerca Hodaj
This article provides the operating characteristics (OCs) of two subset selection rules for exponential populations having a common known scale parameter and possibly differing threshold parameters. One selection rule is based on the minimum sample values and…
Lumiao Wang, Ziye Liu
In the field of machine learning, support vector machine (SVM) is popular for its powerful performance in classification tasks. However, this method could be adversely affected by data containing noise. One of the main reasons is that many loss functions are…
Amod Agashe
The usual chain rule is for compositions of functions from R n to R m , for some m and n . We consider functions whose domains and codomains are products of various R n ’s, and introduce the notion of a partial Jacobian matrix, using which we formulate a chai…
Can Xu, Jianping Li, Junliang Lu
The coupled Gross-Pitaevskii equations are the basic model describing the phenomenon of Bose-Einstein condensation. Therefore, the research on the coupled Gross-Pitaevskii equations is very important. One of the main tasks of studying the coupled Gross-Pitaev…
Sheng Zhao
A new Base-X Conjecture was introduced in this paper, and Collatz Conjecture is just one case of Base-X Conjecture - Base-3 (Ternary). Based on Base-X number system property and Collatz Conjecture iteration, it has been proved that for any positive integer D…
Shengmei Lv, Ziyu An
Researching Supereulerian index of a graph G is NP-hard. In this paper, we consider Supereulerian indices of some classes of graphs, Supereulerian index means the minimum integer k of iterated line graph L k ( G ) of a graph G such that L k ( G ) is Supereule…
Wei Xie, Shitian Liu
Let G be a finite group and let T ( G ) be the sum of codegrees of complex irreducible characters of a group G . Say f ( G ) = T ( G ) | G | . We prove that a finite group G such that for all proper subgroup H , 1.1 < f ( H ) < 1.3 , is solvable.
Xiangshuai Dong
Brualdi and Goldwasser characterized the Laplacian permanents of trees. In this paper, we study the Laplacian permanents of trees. We characterize some Laplacian permanents of trees. The Laplacian ratio of G is the Laplacian permanent of G divided by the prod…
Ping Xie, Hao Xu
In this paper, the Isometric Mapping (ISOMAP) algorithm is applied to recognize oracle bone inscription images. First, the sample set undergoes denoising and size normalization as preprocessing steps. Subsequently, a gray-value matrix is extracted from the im…
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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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