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# Mathematical Analysis - Science topic

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Publications related to Mathematical Analysis (10,000)

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The logical problem of language acquisition has been at the forefront of psycholinguistics and behavioral neuroscience for decades. One of the most influential answers to the problem of how successful acquisition occurs on the basis of noisy input suggests that the child is aided by innate principles and parameters (P&P). These are conceived as par...

Analysis of the system availability (SA) of commercial utility-scale PV power (PVP) plants is important for the development, planning, and the financial assessment of the long-term operation of the plants. Many previous studies were done to analyse SA but these were mainly for plants located in non-tropical climatic and environmental conditions. In...

Aim. To determine and analyse motivating factors, which influence the education component of forming successful Ukrainian journalist students and their value orientations. Methods. The main research methods are observation, test, interview, questionnaire and analysis of scientific works. A set of diagnostic tools was used among which were the Dmitr...

The circumscribed and the inscribed polygons are well known and mathematically well defined in the context of 2D-Geometry. The term 'Circum-inscribed Polygon' has been proposed by the author and used as a new definition of the polygon which satisfies the conditions of a circumscribed polygon and an inscribed polygon together. In other words, the ci...

This paper proposes a qualitative analysis to the simple harmonic motion for students who are not mathematically well-prepared. It uses the variation in speed and acceleration to sketch the velocity-time curve. The curve appears to be sinusoidal, whose shape is largely determined by the fact that the gradient of a velocity-time graph is acceleratio...

In the article, a comparative analysis is performed regarding the accuracy parameter in determining the degree of self-similarity of fractal processes between the following methods: Variance-Time plot, Rescaled Range (R/S), Wavelet-based, Detrended Fluctuation Analysis (DFA) and Multifractal Detrended Fluctuation Analysis (MFDFA). To evaluate the m...

Building an efficient and reliable small target motion detection visual system is challenging for artificial intelligence robotics because a small target only occupies few pixels and hardly displays visual features in images. Biological visual systems that have evolved over millions of years could be ideal templates for designing artificial visual...

There are numerous advantages of deep neural network surrogate modeling for response time-history prediction. However, due to the high cost of refined numerical simulations and actual experiments, the lack of data has become an unavoidable bottleneck in practical applications. An iterative self-transfer learning method for training neural networks...

The modern periodical is an important medium in the construction of time. Its appearance and cycles of production turn artificial time cycles into seemingly natural and accepted social rhythms. Most importantly, periodicals play an important role in the construction of the “present” as a time frame of occurrences that happen “now”. However, the rep...

The results presented in this paper are obtained as part of the continued development and research of clustering algorithms based on the discrete mathematical analysis. The article briefly describes the theory of Discrete Perfect Sets (DPS-sets) that is the basis for the construction of DPS-clustering algorithms. The main task of the previously con...

This paper concerns a Holling type II predator–prey system. We pay particular attention to the multi-factor influence including the Allee effect, fear effect, prey refuge and delay. The existence and stability of the equilibria of the system are investigated. Taking the prey refuge as a bifurcating parameter, a threshold condition is given for the...

The practical results gained from statistical theories of turbulence usually appear in the form of an inertial range energy spectrum E(k)∼k-q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69p...

In this article, we will establish new impressive vision for the solitary solutions of Bogoyavlenskii-equation (BE) that represents the (2 + 1)-dimensional interaction of a Riemann wave propagation along definite axis along wave on the normal to it. A comparison between the achieved results from the point of view of three different mathematical ana...

This paper examines the effects of treatment on tumor‐immune dynamics based on a conceptual two‐dimensional model. In absence of treatment, this model exhibits regimes of “active” and “dormant” tumor. Increasing intensity of chemotherapy entails a significant complication of tumor‐immune interaction with parameter zones of monostability, bistabilit...

In this article, a mathematical model of COVID-19 is investigated using the Atangana-Baleanu in sense of Caputo fractional operator. Mathematical analysis and model-ing has led the results (allow policymakers to understand and predicts the dynamics of infectious disease under several different scenarios) about various nonpharmaceutical involvements...

In this article, we consider a theoretical model for a type I Weyl semimetal, under the presence of a diluted uniform concentration of torsional dislocations. By a mathematical analysis for partial wave scattering (phase-shift) for the T-matrix, we obtain the corresponding retarded and advanced Green's functions that include the effects of multiple...

Background
The expanding usage of complex machine learning methods such as deep learning has led to an explosion in human activity recognition, particularly applied to health. However, complex models which handle private and sometimes protected data, raise concerns about the potential leak of identifiable data. In this work, we focus on the case of...

Microactuators developed from shape memory alloy (SMA) thin films on flexible substrates find good applications in MEMS design. This article presents the models of the actuation behaviour of a thin film SMA bimorph, developed by depositing CuAlNi SMA on a curved Kapton polyimide sheet substrate through a physical evaporation technique. The thermo-m...

This paper presents the results of a study on the influence of the degree of impregnation and activation temperature on the formation of the porous structure of activated carbons (ACs) obtained from Pine cones by the chemical activation process using potassium hydroxide as an activator. The advanced new numerical clustering based adsorption analysi...

In this article, we formulate fractional differential inclusion of pantograph type (IFDIP), incorporating impulsive behavior of the solution. The boundary conditions taken into account are nonlocal in nature. We will consider the convex problem and prove the Filippov–Wazewski‐type theorem. Moreover, existence of solution, uniqueness of a solution,...

Cloud computing has emerged as a promising paradigm for meeting the growing resource demands of Internet of Things (IoT) devices. Meanwhile, with the popularity of mobile aerial base stations, Unmanned Aerial Vehicle (UAV) assisted cloud computing is essential for providing diversified service at areas without available infrastructure. However, it...

In this paper, we study the mathematical analysis of a nonlinear age-dependent predator–prey system with diffusion in a bounded domain with a non-standard functional response. Using the fixed point theorem, we first show a global existence result for the problem with spatial variable. Other results of existence concerning the spatial homogeneous pr...

Selecting reasonable blasting parameters of ore and rock is an important measure to achieve good blasting effect. In the mining process, rock fragmentation is an important index to evaluate the blasting effect, which directly affects the technical scheme, equipment selection, economic effect, and other issues of the mine and even seriously threaten...

Epidemiologically, co-infection is the simultaneous infection of a host by multiple pathogen species such as viruses, bacteria, or fungi. In this work, we model Human Immunodeficiency virus/Acquired Immunodeficiency Syndrome (HIV/AIDS) and Listeriosis co-infection dynamics using a set of nine ordinary differential equations. HIV/AIDS only sub-model...

A mathematical analysis was performed of the heat exchange between a fluid and the wall of the conduit through which a fluid is flowing. Novel equations were derived, which determine how temperature variations of the fluid are affected during its passage through the conduit. The analysis arrived at a closed expression, which gives the apparent time...

The theory of the diffusion limited electrochemical nucleation and growth of a deposit consisting of isolated 3D hemispherical nuclei has been re-analysed. The analysis focuses on a widely discussed model which assumes formation of “diffusion zones” around the growing nuclei. It has been proposed in the literature that the deposit-free fraction of...

In this study, the extended SEIR dynamical model is formulated to investigate the spread of coronavirus disease (COVID-19) via a special focus on contact with asymptomatic and self-isolated infected individuals. Furthermore, a mathematical analysis of the model, including positivity, boundedness, and local and global stability of the disease-free a...

Now a days the high demand of energy cause the climate change which affect the living style of the people in the world. To mitigate this cases, the usage of renewable energy like solar energy plays a key role. In the application of thermal radiation, the work done is not 100% efficient due to the procreation of entropy. In this investigation, the r...

Connection (adhesive layer, welded seam, etc.) of solid bodies at the macro-level looks like a zero-thickness object (surface or line). At the micro-level, the connection is a three- or two-dimensional zone of complex geometry. Often it has no recognizable boundaries and/or inhomogeneous structure. Nevertheless [1, 2], there exists a general relati...

In this paper, an attempt has been made to study the morphometric characteristics of the Nani river basin which is a right-bank tributary of the Yerla River in Maharashtra. Geologically the area is covered by hard massive and vesicular amygdaloidal basalt rocks. The Alos Palsar DEM data having a spatial resolution of 12.5 meters and SOI to posheets...

In a long-lasting major disease outbreak such as that of COVID-19, the challenge for public health authorities is to keep people motivated and keen on following safety guidelines. In this study, a compartmental model with a heterogeneous transmission rate (based on awareness) is utilized to hypothesize about the public adoption of preventive guidel...

The mathematical analysis of random phylogenetic networks via analytic and algorithmic methods has received increasing attention in the past years. In the present work we introduce branching process methods to their study. This approach appears to be new in this context. Our main results focus on random level-k networks with n labeled leaves. Altho...

Microbial communities execute metabolic pathways to drive global nutrient cycles. Within a community, functionally specialized strains can perform different yet complementary steps within a linear pathway, a phenomenon termed metabolic division of labor (MDOL). However, little is known about how such metabolic behaviors shape microbial communities....

This article presents a novel approach to the robust design of fractional order IMC controller for the fractional‐order (FO) plus time delay processes. The proposed methodology provides the flexibility to adjust the controller performance based on the application requirement using a single parameter. Also, it does not require any external filter. T...

Introduction
The creation of mathematical models for determining the risk of Alzheimer’s disease in patients with mild cognitive impairment based on immune markers of blood is important for differential diagnosis of AD, assessment of the clinical state of patients at different stages of the disease, and optimization of therapy.
Objectives
To asses...

Many optimization problems suffer from noise, and nonlinearity check-based decomposition methods (e.g. Differential Grouping) will completely fail to detect the interactions between variables in multiplicative noisy environments, thus, it is difficult to decompose the large-scale optimization problems (LSOPs) in noisy environments. In this paper, w...

The global warming issue drives pico-scale hydropower plants to become the leading research focus. Pico-scale Turgo turbine (PSTT) is a suitable proposal to be developed as a power plant because it is cheap, easy to manufacture, and simple in shape and design. Although PSTT has been developed for a long time, the final decision on the optimum param...

Stereophonic acoustic echo cancellation (SAEC) applications of adaptive filters are complex compared to monophonic AEC due to the presence of an additional acoustic channel. In long room impulse response, SAEC is carried out with the help of more than one adaptive filter, each having hundreds to thousands of filter coefficients. A large number of f...

Chemical kinetics and thermodynamics provide modes and mechanisms for the thermal death of microbial spores. In this study, the effect of thermal inactivation on Geobacillus stearothermophilus, a highly heat-resistant bacterial species, was studied over the temperature range of 95, 100, 105, and 110 °C and holding sterilization periods of 10, 15, 2...

A lot of research has validated that zeroing neural network (ZNN) model is a reliable tool for solving time-varying problems. Generally, convergent performance is often one of the most important measures for the practicability of the ZNN model. Besides, its practicability is also up to its anti-noise ability in the process of solving time-varying p...

Estimation of Distribution Algorithms have been successfully used to solve permutation-based Combinatorial Optimization Problems. In this case, the algorithms use probabilistic models specifically designed for codifying probability distributions over permutation spaces. One class of these probability models are distance-based exponential models, an...

Purpose
The stability problem for non-conservative multi-parameter dynamical system is usually associated with labor-intensive calculations, and numerical methods do not always allow one to obtain the desired information. The presence of circulatory forces often leads to the so-called ”destabilization effect” of the system under the influence of sm...

It is proved that the maximal operators of subsequences of Cesàro means with varying parameters of two-dimensional Walsh-Fourier series is bounded from the dyadic Hardy spaces HpI\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{up...

Typhoid fever and cholera remain a huge public health problem on the African continent due to deteriorating infrastructure and declining funding for infrastructure development. The diseases are both caused by bacteria, and they are associated with poor hygiene and waste disposal systems. In this paper, we consider a nonlinear system of ordinary dif...

Vegetation pattern provides useful signals for vegetation protection and can be identified as an early warning of desertification. In some arid or semi-arid regions, vegetation absorbs water through nonlocal interaction of roots. In this study, we present a vegetation model with nonlocal interaction which is characterized by an integral term with a...

This research proposes the architecture of a SAC-OCDMA–OFDM–DWDM system using a flat optical frequency comb generator and coherent communication. Its aim is to create a new OCDMA communication system that is specifically intended for multiservice networks. The suggested architectural design is numerically simulated and analyzed using OptiSystem and...

An integration of artificial neural networks (ANNs) and thermodynamics through the application of Neural Network Programming (NNP) is proposed. Thermodynamic consistency is achieved because the thermodynamic relationships and constraints are transcribed into a specially crafted ANN. Moreover, the developed models allow predicting and extrapolating...

Due to the recent threatening pandemic COVID-19, the research area of this disease is increasing. This paper tries to establish COVID-19 infection transmission by Susceptible-Infectious-Recovered (SIR) compartmental model for epidemic prediction and prevention. The model is built based on the secondary data of the infected persons and discharged pa...

Modeling the spread of contagiousness is well known in epidemiology. However, theapplication of spread modeling to the banking system is quite recent.Optimal control theory analyzes the properties of controlled systems, ie systems on which one canact by means of a command.In this work, we present a liquidity risk problem in the banking system with...

A mathematical analysis is communicated to the thermal radiative and heat absorption effects on 3D MHD Williamson nanoliquid motion via stretching sheet. The convective heat and mass boundary conditions are taken in sheet when liquid is motion. The suitable similarity transformations, non-dimensionless has been utilized for reduce basic governing P...

In the traditional approach to differentiability, found in almost all university textbooks, this notion is considered only for interior points of the domain of function or for functions with an open domain. This approach leads to the fact that differentiability has usually been considered only for functions with an open domain in Rn, which severely...

In order to reveal the inducing factors and safety dynamic evolution mechanism of frequent personal injury accidents under a low carbon manufacturing process, a nonlinear safety dynamic evolution model of a distributed low carbon manufacturing system with large time delay is established. The established model is then verified by simulation results...

In this paper, we study an age‐structured reaction‐diffusion‐advection population model. First, we use a non‐densely defined operator to the linear age‐structured reaction‐diffusion‐advection population model in a patchy environment. By spectral analysis, we obtain the asynchronous exponential growth of the population model. Then we consider nonlin...

Heat transfer and energy storage remain a core problem for industrialists and engineers. So, the concept of new heat transfer fluids, namely, nanofluids and hybrid nanofluids, has been introduced so far. Recently, a new third generation of heat transfer fluids has been developed known as modified hybrid nanofluids (MHNs), synthesized by ternary nan...

This paper presents the framework for accelerating MR Imaging (MRI) by adopting Compressive Sampling/Sensing (CS) strategy. The major drawback is the extensive time involved in recovering MR Images from the limited k -space data which is often affected by various noises. Specifically speckle noise is seen to affect medical imaging modalities like u...

The presented study discusses the possible disturbing effects of the electromagnetic field of antennas used in mobile phones or WiFi technologies on the pacemaker in the patient’s body. This study aims to obtain information on how the thickness of skin layers (such as the thickness of the hypodermis) can affect the activity of a pacemaker exposed t...