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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…
Kyongyob Min
Respiratory variables, including tidal volume and respiratory rate, display significant variability. The probability density function (PDF) of respiratory variables has been shown to contain clinical information and can predict the risk for exacerbation in as…
Rafal Golab, Daniel Bachniak, Krzysztof Bzowski, Lukasz Madej
The main goal of the present research is to realize a sensitivity analysis of the developed complex micro scale austenite ( γ ) to ferrite ( α ) phase transformation model. The proposed solution is implemented in the developed Cellular Automata Framework that…
Gabriela Hinojosa, David Torres, Rogelio Valdez
Given a cubic knot K , there exists a projection of the Euclidean space R 3 onto a suitable plane such that p ( K ) is a knot diagram and it can be described in a discrete way as a cycle permutation. Using this fact, we develop an algorithm for computing some…
Taiki Takahashi, Ruokang Han
Anomalies in decision over time (e.g., “ hyperbolic time discounting ” ) and under risk (e.g., Allais paradox and hyperbolic probability discounting) have been attracting attention in behavioral and neuroeconomics. We have proposed that psychophysical time co…
Hong Wang, Hong-Bo Yue, Xi-E Chen
In many practical situation, some of the attribute values for an object may be interval and set-valued. This paper introduces the interval and set-valued information systems and decision systems. According to the semantic relation of attribute values, interva…
Chi-Fai Lo
We have applied the Lie-Trotter operator splitting method to model the dynamics of both the sum and difference of two correlated constant elasticity of variance (CEV) stochastic variables. Within the Lie-Trotter splitting approximation, both the sum and diffe…
Yiting Huang, Minling Zheng
This paper presents a numerical scheme for space fractional diffusion equations (SFDEs) based on pseudo-spectral method. In this approach, using the Guass-Lobatto nodes, the unknown function is approximated by orthogonal polynomials or interpolation polynomia…
Buheeerdun Yang, Pingjun Hou, Masayuki Kageyama
This paper is a sequel to Kageyama et al . [1], in which a Markov-type hybrid process has been constructed and the corresponding discounted total reward has been characterized by the recursive equation. The objective of this paper is to formulate a hybrid dec…
Tejas A. Desai
Logistic regression is usually used to model probabilities of categorical responses as functions of covariates. However, the link connecting the probabilities to the covariates is non-linear. We show in this paper that when the cross-classification of all the…
Tohru Morita, Ken-ichi Sato
In a preceding paper, we discussed the solution of Laplace’s differential equation by using operational calculus in the framework of distribution theory. We there studied the solution of that differential equation with an inhomogeneous term, and also a fracti…
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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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