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Developing A Primary Healthcare Diagnosis System Based On Natural Language Processing, Ahmad A. Alzahrani
Developing A Primary Healthcare Diagnosis System Based On Natural Language Processing, Ahmad A. Alzahrani
Applied Mathematics & Information Sciences
A machine learning (ML) algorithm is a complex algorithm that automates based on experience. Artificial intelligence (AI) is a subfield of machine learning (ML) that builds computer networks that can execute activities that would normally need cognitive functions. Artificial intelligence and chatbots are two revolutionary technologies that have altered the way patients and clinicians view healthcare. A diagnostic is needed to kind the system of healthcare is more participatory. Chabot was created utilizing the most up-to- date machine learning methods, including the decision tree algorithm, to assist users in making a diagnosis of their disease based on their symptoms. The …
Ethereum Blockchain Based E-Voting System For Jordan Parliament Elections, Mohammad Malkawi, Muneer Bani Yaseen, Doaa Habeebalah
Ethereum Blockchain Based E-Voting System For Jordan Parliament Elections, Mohammad Malkawi, Muneer Bani Yaseen, Doaa Habeebalah
Applied Mathematics & Information Sciences
This paper presents an Ethereum-based E-Voting System (EBVS) applied for the parliamentary election system in the country of Jordan. The proposed EBVS system implements a uniquely structured voting process, where a voter must first vote for a menu, which represents a party or a group of candidates, and then to cast a vote for one or more members within the menu. This study addresses performance issues, including time and one of Ethereum main parameters (the gas consumption). The EBVS system provides new algorithms and methods, which enable votes to be casted within a specific period for each voter in a …
A New Normal Regression With Medical Applications, Nicollas S. S Da Costa, Gauss M. Cordeiro
A New Normal Regression With Medical Applications, Nicollas S. S Da Costa, Gauss M. Cordeiro
Applied Mathematics & Information Sciences
We define the generalized odd log-logistic normal regression with a dispersion systematic component. We obtain a linear representation, some of its properties, and maximum likelihood estimates. Furthermore, we carry out several simulations for different schemes to evaluate the accuracy of the estimators. The robustness of the new regression model is proved by modeling COVID-19 data. The proposed model explains COVID-19 ICU survival times of the patients in a Brazilian hospital.
Analysis Of Transport Networks In The Urban Environment In Order To Plan The Integration Of High-Speed Rail, Miguel A. L?Pez, Raquel Mart?Nez, Carmen Mota
Analysis Of Transport Networks In The Urban Environment In Order To Plan The Integration Of High-Speed Rail, Miguel A. L?Pez, Raquel Mart?Nez, Carmen Mota
Applied Mathematics & Information Sciences
This paper mainly analyses the degree of accessibility of high-speed rail stations within the local context aiming at establishing a comparative framework on the different integration policies carried out in similar cities. A model based on graph theory and the dynamic study of networks applied to urban bus transport.
Self Similarity Of Sousa Ramos’S Trees And Mira’S Boxes Within The Boxes, Diogo Baptista, Daniele Fournier-Prunaret, Clara Gr?Cio, Sara Fernandes
Self Similarity Of Sousa Ramos’S Trees And Mira’S Boxes Within The Boxes, Diogo Baptista, Daniele Fournier-Prunaret, Clara Gr?Cio, Sara Fernandes
Applied Mathematics & Information Sciences
This work consists on the theory of embedded boxes structure [7], from the point of view of the theory of symbolic dynamics [6], tree structure Ramos [8], [9], [10] and star product [1] . This merger allowed the outcome-applications defined on the real line and a better understanding of the structure of the bifurcation, which allows us to characterize and understand the dynamics behind an application within the chaotic dynamical systems.
Alpha Model: A Mathematical Modeling Approach Applied To An Air Quality Monitoring Network, C. El Aoun, N. Boutabba, H. Eleuch
Alpha Model: A Mathematical Modeling Approach Applied To An Air Quality Monitoring Network, C. El Aoun, N. Boutabba, H. Eleuch
Applied Mathematics & Information Sciences
n this paper we apply the alpha Model to air quality prediction purposes. This model is used to predict the ground level ozone concentration which is influenced by multiple pollutants such as NO2, CO, Pb and particulate matter. The model was previously elaborated and successfully tested on other complex systems. Our main object here is to show that the alpha model is a powerful technique for analyzing performance complexities of implementing input-output relations. Air quality is taken as an example.
Investigation Of The Incompressible Viscous Newtonian Fluids Flow Using Three-Dimensions Linear Navier-Stokes Equations, Maha S. Ali, Ali S. Ali, Abdelrahman S. Ali, S. A. Mohammadein
Investigation Of The Incompressible Viscous Newtonian Fluids Flow Using Three-Dimensions Linear Navier-Stokes Equations, Maha S. Ali, Ali S. Ali, Abdelrahman S. Ali, S. A. Mohammadein
Applied Mathematics & Information Sciences
In this paper, the unsteady and nonlinear Navier-Stokes equations in three Cartesian coordinates are converted to the linear diffusion equations based on the concept of linear velocity operator (▁(v ̂ ) . ▁∇). The stream function Ψ(x, y, z, t) represents the analytical solutions of dimensional continuity and linear Navier-Stokes equations. As a physical application, the viscous Newtonian fluid flow in a 3D peristaltic horizontal tube is described by non-dimensional continuity and linear Navier-Stokess equations. The analytical solution in terms of stream function is obtained for different values of time, wavelengths, and Reynolds numbers for a first time. Moreover, the …
Analysis Of Eeg Signals Using Nonlinear Dynamics And Chaos: A Review, Germ?N Rodr?Guez-Berm?Dez, Pedro J. Garc?A-Laencina
Analysis Of Eeg Signals Using Nonlinear Dynamics And Chaos: A Review, Germ?N Rodr?Guez-Berm?Dez, Pedro J. Garc?A-Laencina
Applied Mathematics & Information Sciences
Nonlinear dynamics and chaos theory have been used in neurophysiology with the aim to understand the complex brain activity from electroencephalographic (EEG) signals. Although linear methods have been the most used in EEG analysis, nonlinear approaches have been increased their presence because they reveal aspects that cannot be measured from linear approaches. However, published works in this scientific field is still very low. This work describes the fundamentals of EEG signals and its basic concepts related with nonlinear dynamics and chaotic measures of complexity and stability. After that, a short review of the most common EEG-based applications is given in …
Symbolic Dynamics And Big Bang Bifurcation In Weibull-Gompertz-Fréchet’S Growth Models, J. Leonel Rocha, Abdel-Kaddous Taha, Danièle Fournier-Prunaret
Symbolic Dynamics And Big Bang Bifurcation In Weibull-Gompertz-Fréchet’S Growth Models, J. Leonel Rocha, Abdel-Kaddous Taha, Danièle Fournier-Prunaret
Applied Mathematics & Information Sciences
In this paper, motivated by the interest and relevance of the study of tumor growth models, a central point of our investigation is the study of the chaotic dynamics and the bifurcation structure of Weibull-Gompertz-Fr´echet’s functions: a class of continuousdefined one-dimensional maps. Using symbolic dynamics techniques and iteration theory, we established that depending on the properties of this class of functions in a neighborhood of a bifurcation point PBB, in a two-dimensional parameter space, there exists an order regarding how the infinite number of periodic orbits are born: the Sharkovsky ordering. Consequently, the corresponding symbolic sequences follow the usual unimodal …
Improving The Dynamics Of Steffensen-Type Methods, Sergio Amat, Sonia Busquier, ?Ngel Alberto
Improving The Dynamics Of Steffensen-Type Methods, Sergio Amat, Sonia Busquier, ?Ngel Alberto
Applied Mathematics & Information Sciences
The dynamics of Steffesen-type methods, using a graphical tool for showing the basins of attraction, is presented. The study includes as particular cases, Steffesen-type modifications of the Newton, the two-steps, the Chebyshev, the Halley and the super– Halley iterative methods. The goal is to show that if we are interesting to preserve the convergence properties we must ensure that the derivatives are well approximated in all iterations.
Exchange Of Photons Between Two Atoms In A 1d Waveguide. Gauge Dependent And Independent Couplings, S. Derouault, M. A. Bouchene
Exchange Of Photons Between Two Atoms In A 1d Waveguide. Gauge Dependent And Independent Couplings, S. Derouault, M. A. Bouchene
Applied Mathematics & Information Sciences
Two atoms located in a one dimensional waveguide with initially one of them in the excited state interact by exchanging photons. We analyze the exchange process distinguishing between real and virtual photons contributions, and comparing between the Coulomb and Goeppert-Mayer gauges. We show that gauge-independent coupling terms can be interpreted in a simple way using the time-energy incertitude relation
Speeding Up Finite Field Inversion For Cryptographic Applications, Walid Mahmoud, Huapeng Wu
Speeding Up Finite Field Inversion For Cryptographic Applications, Walid Mahmoud, Huapeng Wu
Applied Mathematics & Information Sciences
Finite field inversion is considered a very time-consuming operation in scalar multiplication required in elliptic curve cryptosystems. A fast inversion algorithm in binary extension fields using normal basis representation is proposed. It is based on Fermat’s theorem. Compared to existing similar methods, it is shown that for a given extension degree m of the concerned field the proposed algorithm requires as few as or fewer multiplications than any other similar algorithm in the literature.
Representing Social Influencers And Influence Using Power-Law Graphs, Chiara Francalanci, Ajaz Hussain, Francesco Merlo
Representing Social Influencers And Influence Using Power-Law Graphs, Chiara Francalanci, Ajaz Hussain, Francesco Merlo
Applied Mathematics & Information Sciences
This paper focuses on semantic networks that represent the user opinions expressed by social media users on a given set of topics. These networks are found to follow a power-law degree distribution of nodes, with a few hub nodes and a long tail of peripheral nodes. While there exist consolidated approaches supporting the identification and characterization of hub nodes, research on the analysis of the multi-layered distribution of peripheral nodes is limited. In social media, hub nodes represent social influencers. However, the literature provides evidence of the multi-layered structure of influence networks, emphasizing the distinction between influencers and influence. The …
José Rodrigues Santos De Sousa Ramos (1948–2007): The Diversity Of Dynamical Systems, Francisco Balibrea, Juan L. G. Guirao, Clara Gr?Cio
José Rodrigues Santos De Sousa Ramos (1948–2007): The Diversity Of Dynamical Systems, Francisco Balibrea, Juan L. G. Guirao, Clara Gr?Cio
Applied Mathematics & Information Sciences
José Rodrigues Santos de Sousa Ramos, mathematician of great merit, passed away on January 1st, 2007, in Lisbon. He was buried in Sobral da Adic¸a. His death was a huge loss for the development of mathematics in Portugal. The course of time will increase the dimension of this loss. Therefore, we dedicated this theme issue on Dynamical Systems to recall his memory and underline his work. We never forget you.
Approximate Equilibria For A T Cell And Treg Model, Bruno M. P. M. Oliveira, Isabel P. Figueiredo, Nigel J. Burroughs, Alberto A. Pinto
Approximate Equilibria For A T Cell And Treg Model, Bruno M. P. M. Oliveira, Isabel P. Figueiredo, Nigel J. Burroughs, Alberto A. Pinto
Applied Mathematics & Information Sciences
We analyse a model of immune response by T cells (CD4), where regulatory T cells (Tregs) act by inhibiting IL-2 secretion. We introduced an asymmetry reflecting that the difference between the growth and death rates can be higher for the active T cells and the active Tregs than for the inactive T cells and inactive Tregs. This asymmetry mimics the presence of memory T cells. In this paper we start by analysing the model in the absence of Tregs. We obtain an explicit formula that gives approximately the antigenic stimulation of T cells from the concentration of Tregs. Afterwards, we …
Chaotic Behaviour Of The Solutions Of The Moore-Gibson- Thompson Equation, J. Alberto Conejero, Carlos Lizama, Francisco Rodenas
Chaotic Behaviour Of The Solutions Of The Moore-Gibson- Thompson Equation, J. Alberto Conejero, Carlos Lizama, Francisco Rodenas
Applied Mathematics & Information Sciences
We study a third-order partial differential equation in the form t uttt +autt −c2uxx −buxxt = 0, (1) that corresponds to the one-dimensional version of the Moore-Gibson-Thompson equation arising in high-intensity ultrasound and linear vibrations of elastic structures. In contrast with the current literature on the subject, we show that when the critical parameter g := a − t c2 b is negative, the equation (1) admits an uniformly continuous, chaotic and topologically mixing semigroup on Banach spaces of Herzog’s type.
Similarity Of General Population Matrices And Pseudo-Leslie Matrices, Jo?O F. Alves, Henrique M. Oliveira
Similarity Of General Population Matrices And Pseudo-Leslie Matrices, Jo?O F. Alves, Henrique M. Oliveira
Applied Mathematics & Information Sciences
A similarity transformation is obtained between general population matrices models of the Usher or Lefkovitch types and a simpler model, the pseudo-Leslie model. The pseudo Leslie model is a matrix that can be decomposed in a row matrix, which is not necessarily non-negative and a subdiagonal positive matrix. This technique has computational advantages, since the solutions of the iterative problem using Leslie matrices are readily obtained . In the case of two age structured population models, one Lefkovitch and another Leslie, the Kolmogorov-Sinai entropies are different, despite the same growth ratio of both models. We prove that Markov matrices associated …
Structure Of The Global Attractor For Weak Solutions Of A Reaction-Diffusion Equation, Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero
Structure Of The Global Attractor For Weak Solutions Of A Reaction-Diffusion Equation, Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero
Applied Mathematics & Information Sciences
In this paper we study the structure of the global attractor for a multivalued semiflow generated by weak solutions of a reaction-diffusion equation in which uniqueness of the Cauchy problem is not guaranteed, improving the results of a previous paper. Under suitable assumptions, we prove that the global attractor can be characterized using either the unstable manifold of the set of stationary points or the stable one but considering in this last case only solutions in the set of bounded complete trajectories.
Predicting Synchronization Of Three Mutually Inhibiting Groups Of Oscillators With Strong Resetting, José M. Amig?, Thiago S. Mosqueiro, Ram?N Huerta
Predicting Synchronization Of Three Mutually Inhibiting Groups Of Oscillators With Strong Resetting, José M. Amig?, Thiago S. Mosqueiro, Ram?N Huerta
Applied Mathematics & Information Sciences
Neural populations encode sensory information, memory and motor patterns through electro-chemical firings, which propagate throughout the nervous system via synapses, a structure that couples neurons together. A powerful tool to investigate synchronization issues in such systems are the Phase Resetting curves. However these are best suited for brief and small perturbations. Motivated by the observation of strong inhibition in some neural circuits, we investigate a resetting model with similar features to a known neural population called striatum, in which three groups of neurons inhibit themselves. The model is intrinsically based on Kuramoto oscillators, and is analytically treatable. We derive a …
Mapping Stability: Real Rational Maps Of Degree Zero, Jo?O Cabral, Maria Do Carmo Martins
Mapping Stability: Real Rational Maps Of Degree Zero, Jo?O Cabral, Maria Do Carmo Martins
Applied Mathematics & Information Sciences
In memory of our beloved Professor Jos´e Rodrigues Santos de Sousa Ramos (1948-2007), who Jo?ao Cabral, one of the authors of this paper, had the honour of being his student between 2000 and 2006, we wrote this paper following the research by experimentation, using the new technologies to capture a new insight about a problem, as him so much love to do it. His passion was to create new relations between different fields of mathematics. He was a builder of bridges of knowledge, encouraging the birth of new ways to understand this science. One of the areas that Sousa Ramos …
Effects Of Additive And Multiplicative Noise On The Dynamics Of A Parabolic Equation, Tom?S Caraballo, Renato Colucci
Effects Of Additive And Multiplicative Noise On The Dynamics Of A Parabolic Equation, Tom?S Caraballo, Renato Colucci
Applied Mathematics & Information Sciences
We consider the effects of additive and multiplicative noise on the asymptotic behavior of a fourth order parabolic equation arising in the study of phase transitions. On account that the deterministic model presents three different time scales, in this paper we have established some conditions under which the third time scale, which encounter finite dimensional behavior of the system, is preserved under both additive and multiplicative linear noise. In particular we have proved the existence of a random attractor in both cases, and observed that the order of magnitude of the third time scale is also preserved.
Chemostats With Time-Dependent Inputs And Wall Growth, Tom?S Caraballo, Xiaoying Han, Peter Kloeden
Chemostats With Time-Dependent Inputs And Wall Growth, Tom?S Caraballo, Xiaoying Han, Peter Kloeden
Applied Mathematics & Information Sciences
Traditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and fast flow rate to avoid wall growth. However, these assumptions become unrealistic when the availability of a nutrient depends on the nutrient consumption rate and input nutrient concentration and when the flow rate is not fast enough. In this paper, we relax these assumptions and study the chemostat models with a variable nutrient supplying rate or a variable input nutrient concentration, with or without wall growth. This leads the models to nonautonomous dynamical systems and requires new concepts of nonautonomous attractors from …
A Note On Recurrent Points, A. Linero Bas, G. Soler L?Pez
A Note On Recurrent Points, A. Linero Bas, G. Soler L?Pez
Applied Mathematics & Information Sciences
We show that some definitions of recurrent points are equivalent in the setting of general topological spaces.
Necessity Of The Third Condition From The Definition Of Omega Chaos, Marek Lampart
Necessity Of The Third Condition From The Definition Of Omega Chaos, Marek Lampart
Applied Mathematics & Information Sciences
The notion of omega chaos was introduced by S. Li in 1993 for continuous maps of compact metric spaces by three conditions: 1. the set difference of omega limit sets is uncountable, 2. intersection of omega limit sets is nonempty and 3. each omega limit set of the point from the omega scrambled set is not contained in the set of all periodic points. It was also pointed that the third condition is superfluous for continuous maps of the compact interval. As a main result of this paper it will be shown that the third condition is essential even in …
Symbolic Dynamics Of Odd Discontinuous Bimodal Maps, Henrique M. Oliveira
Symbolic Dynamics Of Odd Discontinuous Bimodal Maps, Henrique M. Oliveira
Applied Mathematics & Information Sciences
Iterations of odd piecewise continuous maps with two discontinuities, i.e., symmetric discontinuous bimodal maps, are studied. Symbolic dynamics is introduced. The tools of kneading theory are used to study the homology of the discrete dynamical systems generated by the iterations of that type of maps.When there is a Markov matrix, the spectral radius of this matrix is the inverse of the least root of the kneading determinant.
Syllable Permutations And Hyperbolic Lorenz Knots, Paulo Gomes, Nuno Franco, Lu?S Silva
Syllable Permutations And Hyperbolic Lorenz Knots, Paulo Gomes, Nuno Franco, Lu?S Silva
Applied Mathematics & Information Sciences
Lorenz knots are the knots corresponding to periodic orbits in the flow associated to the Lorenz system. This flow induces an iterated one-dimensional first-return map whose orbits can be represented, using symbolic dynamics, by finite words. As a result of Thurston’s geometrization theorem, all knots can be classified as either torus, satellite or hyperbolic knots. Birman andWilliams proved that all torus knots are Lorenz knots which can be represented by a class of words with a precise form. We consider about 20000 words corresponding to all non-trivial permutations of a sample of words associated to torus knots and, using the …
On The Stabilization Of A Generalized Lagrange-Poisson Problem, J. A. Vera
On The Stabilization Of A Generalized Lagrange-Poisson Problem, J. A. Vera
Applied Mathematics & Information Sciences
In this work we consider the Hamiltonian dynamics of a generalized Lagrange–Poisson problem whose fixed point performs high-frequency vertical periodic oscillations of small amplitude. Using the generalized Kapitza averaging method we obtain a sufficient condition for stabilizing the unstable upright position.
Analytic Plane Sets Are Locally 2n-Stars: A Dynamically Based Proof, José Ginés Esp?N Buend?A, V?Ctor Jiménez L?Pez
Analytic Plane Sets Are Locally 2n-Stars: A Dynamically Based Proof, José Ginés Esp?N Buend?A, V?Ctor Jiménez L?Pez
Applied Mathematics & Information Sciences
A new, elementary proof of a well-known result, stating that the set of zeros of a two-variable analytic real function is locally a star with an even number of branches, is given. In contrast to other proofs available in the literature, ours is mainly based in some standard Poincar´e-Bendixson theory.
Product Recurrence For Weighted Backward Shifts, V?Ctor J. Gal?N, Félix Mart?Nez-Giménez, Piotr Oprocha, Alfred Peris
Product Recurrence For Weighted Backward Shifts, V?Ctor J. Gal?N, Félix Mart?Nez-Giménez, Piotr Oprocha, Alfred Peris
Applied Mathematics & Information Sciences
We study product recurrence properties for weighted backward shifts on sequence spaces. The backward shifts that have non-zero product recurrent points are characterized as Devaney chaotic shifts. We also give an example of weighted shift that admits points which are recurrent and distal, but not product recurrent, in contrast with the dynamics on compact sets. An example of a product recurrent point with unbounded orbit is also provided.
Spectral And Dynamical Invariants In A Complete Clustered Network, J. Leonel Rocha, Sara Fernandes, Clara Gr?Cio, Acilina Caneco
Spectral And Dynamical Invariants In A Complete Clustered Network, J. Leonel Rocha, Sara Fernandes, Clara Gr?Cio, Acilina Caneco
Applied Mathematics & Information Sciences
The main result of this work is a new criterion for the formation of good clusters in a graph. This criterion uses a new dynamical invariant, the performance of a clustering, that characterizes the quality of the formation of clusters. We prove that the growth of the dynamical invariant, the network topological entropy, has the effect of worsening the quality of a clustering, in a process of cluster formation by the successive removal of edges. Several examples of clustering on the same network are presented to compare the behavior of other parameters such as network topological entropy, conductance, coefficient of …