Parameter Beta Research Articles

Optical Wave Phenomena in Birefringent Fibers Described by Space-Time Fractional Cubic-Quartic Nonlinear Schrödinger Equation with the Sense of Beta and Conformable Derivative

The work explores the optical wave solutions along with their graphical representations by proposing the coupled spatial-temporal fractional cubic-quartic nonlinear Schrödinger equation with the sense of two fractal derivatives (beta and conformable derivative) and Kerr law nonlinearity for birefringent fibers. The new extended direct algebraic method for the first time is implemented to achieve this goal. Many optical solutions are listed along with their existence criteria. Based on the existence criteria, the cubic-quartic bright, and singular optical soliton, periodic pulse, and rouge wave profiles are supported in birefringent fibers with the influence of both beta and conformable derivative parameter.

Rationality Now!

Rationality Now!

Molecular and hematological studies in a cohort of beta zero South East Asia deletion (β°-thal SEA) from Malaysian perspective.

We report the haematological parameters and molecular characterization of beta zero (β°) South East Asia (SEA) deletion in the HBB gene cluster with unusually high levels of Hb F compared to a classical heterozygous beta zero (β°)-thalassaemia. Retrospective study on 17 cases of (β°) South East Asia (SEA) deletion from 2016 to 2019 referred to Institute for Medical Research were conducted. The clinical information and haematological profiles were evaluated. The mutation was analyzed, and the results were compared with other β°-thalassaemia groups. For HBB gene genotyping, all the cases were subjected for multiplex gap-PCR, 5 cases were subjected for HBB gene sequencing for exclusion of compound heterozygous with other beta variants. Co-inheritance of α-thalassaemia were determined using multiplex gap-PCR and multiplex ARMS-PCR. Seventeen cases were positive for β°-thal SEA deletion. Fifteen cases were heterozygous and two were compound heterozygous for β°-thal SEA deletion. The results were compared with 182 cases of various heterozygous β° deletions and mutations. The mean Hb for heterozygous β°-thal SEA deletion (13.44 ± 1.45 g/dl) was normal and significantly higher than heterozygous IVS 1-1 and Codon 41/42 (post hoc test, p < 0.05). The medians for the MCV and MCH of β°-thal SEA deletion were significantly higher than for all heterozygote β°-thalassaemia traits (Mann Whitney test, p < 0.05). Patients with β°-thal SEA deletion had elevated levels of Hb A2 consistent with β-thalassaemia traits, with Hb F levels consistent with HPFH or δβ-thalassaemia carriers. The median for Hb A2 was 4.00 + 1.00%, similar to that observed in other β°-thalassaemia groups except for IVS 1-1 mutation (median 5.30 + 0.45%) and β°-Filipino (∼45 kb deletion) deletion (median 6.00 + 0.58). Interestingly, we found that Hb F levels for β°-thal SEA deletion were statistically higher than other β°-thalassaemia mutations (median 19.00 + 5.50%, p < 0.05), except for the β°-thal 3.5 kb deletion group. We conclude that β°-thal SEA deletion has a unique haematological parameters of beta zero thalassaemia trait. We affirm toclassifying this deletion as SEA-HPFH based on previous studiesconsidering the phenotype features rather than the molecular defect of β°-thal SEA deletion, as this will make it easier to offer genetic counselling to affected individuals.

An Approach to Model the Willingness to Use of E-Scooter Sharing Services in Different Urban Road Environments

E-scooter sharing services been grown exponentially within the last five years. They are based on the flexibility of accessing dense urban areas without specialized infrastructure. In modern cities, there are diverse road environments that impact the comfort, and therefore the attractiveness, of micro-mobility services. This study aims to investigate the willingness to use e-scooter sharing services, while considering the road environment. To formulate area-specific pricing policies, a stated preferences experiment with 243 respondents, who can be considered as potential users, is conducted in Athens, Greece and a binary logistic regression model with random beta parameters is developed. The analysis of the model marginal effects indicates that the integration of bonus points into micro-mobility services, combined with the option of transferring these points to parking services, can compensate a non-friendly road environment, thus increasing the service demand. The existence of roads with good pavement conditions and wide sidewalks significantly increased the willingness of respondents to use e-scooter sharing services. Unexpectedly, pedestrianized zones in a buffer area of 2 km radius from the trip origin reinforce the attractiveness of shared e-scooters, while the contribution of bike lanes and traffic calming streets (or shared space) were proven to be insignificant.

Thermal Performance of Four-Lobe Swirl Generator and its Transition Parts Under a Different Type of Nanofluids

Due to the importance of promoting the thermal performance of heat exchangers, innovating a new technique is the main goal of many researchers. In swirl flow techniques, keeping the pressure drop at the practical level still requires more and more attention. In the current paper, a numerical study is conducted to explore the impact of a novel lobe swirl generator and its transition parts on forced convective heat transfer and friction factor in a circular pipe subjected to constant heat flux.The swirl mechanism is investigated at the pitch to a diameter of P/D = 8 as the optimum design. The transition part under several parameters of variable beta (β), transition multiplier (n= 0.5) and variable helix (t = 1) have been adopted. The effect of SiO2, Al2O3, and CuO volume concentrations (1 to 5%) in water under various Reynolds numbers (Re) from 15,000 to 35,000 have been carried out. The turbulent swirling flow was modelled using the applicable shear-stress transport (SST) k-ω. The outcome demonstrated an enhancement in heat transfer value ranging from 1.35 to 1.87 with an increased pressure drop value from 1.23 to 1.67. It was also found that using SiO2/water at 5% volume concentration and Re 15000 created the highest thermal performance, with a significant factor of 1.67.

Significance of Brinkman and Stokes system conjuncture in human knee joint

Stokes’s equation in the fluid domain and Brinkman’s equation in the porous media are combined in the current study which is designated by the Stokes-Brinkman coupling. The current paper gives a theoretical analysis of the Stokes-Brinkman coupling. It has been shown that such a model is a good match for the knee joint. A flow model has been investigated in order to get a better understanding of the convective diffusion of the viscous flow along the articular surfaces between the joints. The Beavers and Joseph slip conditions which are a specific boundary condition for the synovial fluid are used to solve the governing system of partial differential equations for the synovial fluid and the results are provided here. We develop formulas for the interfacial velocity for both flow through special slip condition and analyse the link between the slip parameters alpha and beta . Thus, the damping force due to the porous medium naturally when we non-dimensionalize, some parameter which are controlling the structure like, beta and alpha . Through the development of an analytical solution and numerical simulation (using the finite volume approach) it is hoped that the mechanisms of nutritional transport into the synovial joint will be better understood. According to the data the average concentration has a negative connection with both the axial distance and the duration spent in the experiment. Many graphs have been utilized to gain understanding into the problem’s various characteristics including velocity and concentration, among others. Hyaluronate (HA) is considered to be present in porous cartilage surfaces and the viscosity of synovial fluid fluctuates in response to the amount of HA present.

Boundary homogenization with large reaction terms on a strainer-type wall

We consider a homogenization problem for the Laplace operator posed in a bounded domain of the upper half-space, a part of its boundary being in contact with the plane {x_3=0}. On this part, the boundary conditions alternate from Neumann to nonlinear-Robin, being of Dirichlet type outside. The nonlinear-Robin boundary conditions are imposed on small regions periodically placed along the plane and contain a Robin parameter that can be very large. We provide all the possible homogenized problems, depending on the relations between the three parameters: period varepsilon , size of the small regions r_varepsilon and Robin parameter beta (varepsilon ). In particular, we address the convergence, as varepsilon tends to zero, of the solutions for the critical size of the small regions r_varepsilon =O(varepsilon ^{ 2}). For certain beta (varepsilon ), a nonlinear capacity term arises in the strange term which depends on the macroscopic variable and allows us to extend the usual capacity definition to semilinear boundary conditions.

Deformation parameters and nuclear radius of Zirconium (Zr) isotopes using the Deformed Shell Model

In this search we studied the most important deformation parameters (beta 2, and sigma), root mean square of nuclear radius and major and minor of ellipsoid axises (a,b) in addition to the different -even Zirconium (Zr) isotopes (Z=40) for atomic number (A=80 → 104), using deformed shell model equations as a simple new program in Matrix Laboratory system.

ETHEREUM CRYPTOCURRENCY PRICE MOVEMENT PREDICTION SYSTEM USING TRIPLE EXPONENTIAL SMOOTHING METHOD

An innovation that was sparked is an alternative currency to replace conventional currency, namely digital currency that is secured using a cryptographic method called Cryptocurrency. However, cryptocurrency prices cannot be controlled, causing massive fluctuations. Cryptocurrency price changes are very stable due to several factors such as speculation from users and the nature of the follow-up from new to one of the causes. The cause of this bandwagon is due to extreme price increases in a short time, even within a day the price of Crypto can experience a difference of millions of rupiah for each increase and decrease. To answer this question, we need a software that can predict the Rupiah exchange rate. By using the Triple Exponential Smoothing prediction method. In implementing Triple Exponential Smoothing, historical data is needed which will later be processed to produce prediction results, for that we need parameters that can be used as historical data counters, in this study used parameters 0.40 as parameters Xt and S't and 0.60 as Beta parameters. In the process, starting from calculating the first to third smoothing, ensuring Constants, Slopes, and Parabolics, to completing the process by producing Forecasting, the results of the measurement of the margin error level with a margin of error of 0.94638% using data for the final 2021 period, which is between November - December on the Triple Exponential implementation simulation and on the implementation into the system that has been developed is 3.7249% using data from May 2022 to June 2022.

Universal cutoff for Dyson Ornstein Uhlenbeck process

We study the Dyson-Ornstein-Uhlenbeck diffusion process, an evolving gas of interacting particles. Its invariant law is the beta Hermite ensemble of random matrix theory, a non-product log-concave distribution. We explore the convergence to equilibrium of this process for various distances or divergences, including total variation, relative entropy, and transportation cost. When the number of particles is sent to infinity, we show that a cutoff phenomenon occurs: the distance to equilibrium vanishes abruptly at a critical time. A remarkable feature is that this critical time is independent of the parameter beta that controls the strength of the interaction, in particular the result is identical in the non-interacting case, which is nothing but the Ornstein-Uhlenbeck process. We also provide a complete analysis of the non-interacting case that reveals some new phenomena. Our work relies among other ingredients on convexity and functional inequalities, exact solvability, exact Gaussian formulas, coupling arguments, stochastic calculus, variational formulas and contraction properties. This work leads, beyond the specific process that we study, to questions on the high-dimensional analysis of heat kernels of curved diffusions.

MHD Slip Flow and Heat Transfer with Ohmic Heating between a Rotating Solid Disk and Stationary Permeable Disk

In this paper, the axially-symmetric MHD (magnetohydrodynamic) slip fluid flow and heat transfer between a rotating disk and a stationary permeable disk has been examined. The physical system is comprised of a free-fluid region with an underlying fluid-saturated porous bed with a solid base. The fluid flow within the free-fluid region is modeled using the Navier-Stokes equation, whereas the flow within the porous bed is described using the Brinkman equation. The governing equations of fluid flow and heat transfer, along with the associated boundary conditions, are reduced to a system of ordinary differential equations using suitable similarity transformations. A series expansion technique is then employed in order to obtain analytical approximations for the velocity and temperature distributions. The results produced in this study are presented in graphical form. Unless otherwise stated, the following non-dimensional values are used for the numerical calculations: Hartmann number M=1, Reynolds number R=0.1, Darcy parameter beta=0.05, thermal conductivity ratio lambda=0.5, Eckert number Ec=10, slip parameter N^*=0.05, eta=1, and Prandtl numbers Pr_1=Pr_2=10. The influence of the Darcy parameter, Hartmann number and thermal conductivity ratio on the flow velocity and fluid temperature are investigated.

Thermal stability with emission energy and Joule–Thomson expansion of regular BTZ-like black hole

We investigate the thermodynamic properties and Joule–Thomson expansion for conical or BTZ-like black holes. To analyze the thermal stability, we discuss the temperature and thermal stability relative to the horizon radius for different values of model parameters beta _0 and alpha _2. Moreover, we analyze thermodynamical geometries like Ruppeiner, Weinhold and Hendi Panahiyah Eslam Momennia formulation and calculate respective scalar curvatures for BTZ-like black holes. Interestingly, the black holes have no singularity in some cases, i.e., completely regular. We obtain the inversion temperatures and inversion curves and investigate the similarities and differences between van der Waals and charged fluids. To discuss this expansion, we use a BTZ-like black hole. Further, we establish the position of the inversion point versus different values of mass mu , and the parameters beta _0 and alpha _2 for such a BTZ-like black hole. The Joule–Thomson coefficient mu at this point disappears. A crucial trait upon which we relied to inspect the sign of quantity mu to get the cooling-heating areas. We also investigate the energy emission depending upon the frequency omega .

Influence of beta-rhythm neurofeedback on the functional state of the cardiovascular system of athletes

BACKGROUND: The study of the effects of urgent and long-term adaptation of the cardiovascular system of athletes under the influence of beta-rhythm neurofeedback expands its corrective and restorative potential for use in the practice of sports medicine and rehabilitation.&#x0D; AIMS: Study of the restorative and rehabilitation potential of the influence of beta-rhythm neurofeedback on the functional state of the cardiovascular system of athletes.&#x0D; MATERIAL AND METHODS: The course of neurofeedback on the beta rhythm of the brain consisted of 10 sessions, including a graphical and game version of the representation of the controlled parameter (beta rhythm) on the computer monitor screen, the success of controlling the beta rhythm with the specified conditions of voluntary muscle relaxation during the session was supported by visual and auditory biological feedback. Registration of indicators of the cardiovascular system was carried out before and after the 1st, 5th and 10th sessions of the course, the dynamics during the course and individual sessions is represented by the growth rate (%) of the indicators.&#x0D; RESULTS: A course of neurofeedback on the beta-rhythm of the brain of 10 sessions were young athletes (n=1020) aged 1821, representatives of cyclic, acyclic and game sports in the preparatory period of the training cycle.&#x0D; The effects of urgent adaptation in athletes at the 1st session of the neurofeedback course according to the beta-rhythm of the brain are reflected by positive changes in the strengthening of the vagal influence of the parasympathetic nervous system on the functional state of the cardiovascular system, expressed in a decrease in heart rate, systemic pressure, performance and pumping functions of the heart, in the transition of the type of regulation of blood circulation from the unfavorable hyperkinetic type to the physiological ― eukinetic ― type. At the same time, the load on the peripheral vascular bed increased, especially on its precapillary section.&#x0D; The effects of long-term adaptation at the 10th session of the neurofeedback course according to the beta-rhythm of the brain are represented by systemic rearrangements with an increased influence of the parasympathetic nervous system in the functioning of the cardiovascular system of athletes, reflected in the maximum decrease in heart rate throughout the course, in an equivalent decrease in systemic pressure, stabilization of performance and pumping function of the heart, achievement and preservation of the eukinetic type of regulation of blood circulation, achievement of a stable stable state of the central and peripheral vascular bed with a slight response to environmental factors.&#x0D; CONCLUSION: A course of neurofeedback on the beta-rhythm of the brain of 10 sessions helps to reduce stress in the functioning of the cardiovascular system of athletes by enhancing the vagal influences of the parasympathetic nervous system, has a positive effect on heart rate, systemic pressure, performance and pumping function of the heart; promotes the transition from an unfavorable hyperkinetic to a physiological eukinetic type of circulatory regulation; has a positive effect on adaptive changes in indicators of general and peripheral vascular resistance. The revealed effects of the course of neurofeedback on the beta-rhythm of the brain are of a pronounced corrective and restorative nature during the intense functioning of the cardiovascular system of athletes and can be used in sports rehabilitation and rehabilitation practice.

Wall stabilization of the rigid ballooning m = 1 mode in a long-thin mirror trap

The prospect of stabilization of the m = 1 ‘rigid’ ballooning mode in an open axially symmetric long-thin trap with the help of a conducting lateral wall surrounding a column of isotropic plasma is studied. It was found that for effective wall stabilization, the beta parameter β must exceed some critical value β crit. The dependence of β crit on the mirror ratio, radial pressure profile, axial profile of the vacuum magnetic field, and the width of vacuum gap between plasma and lateral wall was studied. Minimal critical beta at the level of 70% is achieved at zero vacuum gap, although stability zone at β → 1 exists even at extremely wide vacuum gap. It is shown that when a conducting lateral wall is combined with conducting end plates simulating attachment of the end MHD stabilizers to the central cell of an open trap, there are two critical beta values and two stability zones that can merge, making stable the entire range of allowable beta values 0 < β < 1.

Shadow, absorption and Hawking radiation of a Schwarzschild black hole surrounded by a cloud of strings in Rastall gravity

This paper studies the black hole shadow, absorption cross section, and Hawking radiation of a massless scalar field in the background of a static spherically symmetric black hole spacetime that is surrounded by a cloud of strings in Rastall gravity. Specifically, the effects of the parameters a and beta on the photon sphere and shadow radii are investigated. The results show that as the negative parameter beta decreases, the photon sphere and shadow radii change in an N-shape. In addition, the absorption cross section obtained after solving the massless Klein–Gordon equation is calculated using the sinc approximation and the partial waves method. We compare the absorption cross section obtained by the sinc approximation and the partial waves method, and find it to be exceptionally consistent in the mid-to-high frequency region. Furthermore, the effects of parameters a and beta on absorption are examined in detail. Finally, we study in detail the effects of the parameters a, beta and l on the Hawking radiation power emission spectrum of the considered black hole. It turns out that the string parameter a always suppresses the power emission spectrum, indicating that such black holes live longer when the string parameter a is increased while other parameters are fixed.

Radiative flow of viscous nano-fluid over permeable stretched swirling disk with generalized slip

In present years, the study of nanofluids has emerged as a hot topic among the researchers, because the nanoparticle contained in the fluids significantly enhances the heat transfer properties of the fluids. Particularly, rotating ows are of vital importance due to their wide range of scientific, engineering applications, such as jet engines, pumps and vacuum cleaners, as well as geophysical ows. In this study water based nanofluid over radially stretchable rotating disk in the presence of radiation heat transfer is considered. The surface of the stretchable rotating disk surface allows the impact of continuous suction and admits the generalized slip. The Tiwari and Das model is used to describe the nanouid behavior (Tiwari and Das in Int J Heat Mass Transf 50(9–10):2002–2018, 2007). Three types of nanoparticles: Copper (Cu), silver (Ag) and titanium dioxide (TiO_2) are taken into account. By choosing an appropriate set of similarity transformations, the boundary layer momentum equations and energy equation are transformed to set of nonlinear ordinary differential equations. The impact of emerging quantities like, nanoparticle concentration phi , suction parameter w_{circ }, slip parameters zeta , critical shear stress parameter beta , and radiation parameter N_{rd}, are illustrated through several graphs and tables. The Nusselt number and skin friction coefficient are also calculated to analyze the heat transfer process.

The Bayesian Method in Estimating Polish and German Industry Betas. A Comparative Analysis of the Risk between the Main Economic Sectors from 2001–2020

This paper examines the long‑term dependence between the Polish and German stock markets in terms of industry beta risk estimates according to the Capital Asset Pricing Model (CAPM). The main objective of this research is to compare the Polish and German beta parameters of five Polish and three German sector indices using the Bayesian methodology in the period 2001–2020. The study has two detailed aims. First, to develop a modified, Bayesian approach (SBETA model) that generates significantly more precise beta than the traditional model. Second, to compare the results of different time‑varying industry betas in the Polish and German economies, giving a simple investment recommendation, i.e., which sector could be classified as aggressive or defensive. The betas were time‑varying in both markets but less persistent in the German industries, which seems characteristic of an advanced economy. The Banking sector betas were the highest in both markets, implying the aggressive nature of that industry in the last twenty years. For the Polish market industry, the betas of Construction, IT, Food and Drinks, and Telecom were classified as defensive. For the German economy, the Technologies (IT) sector was also classified as aggressive, but Telecom was defensive. The results give a valuable insight into the systematic risk levels in Poland and Germany, reflecting the investors' learning process and indicating that Polish Banking and German technologies outperformed the market in the last twenty years.

Trivariate compound generalized poisson model for corticotropin-releasing hormone effects on human pregnant and nonpregnant

In this paper, we apply a new approach to uterine contractions to a large panel of human pregnant non pregnant myometrial strips, treated or not by corticotropin releasing hormone (CRH). This model is based on a fine analysis of the contraction curves.This analysis yield four mathematical parameters beta, theta, tau1 and tau2 related to excitability, duration of plateau phase, and time constants for relaxation describing respectively, the different portions of the contraction cycle. This leads to specific differences in spontaneous contractile activity between pregnant and nonpregnant states. In the present study, we compare nonpregant and pregnant women close to the term vitro CRH myometrial responsiveness, to describe uterine contractile activity during a parturition. We have a Trivariate compound generalized Poisson model for uterine contraction to a pregnant and nonpregnant myometrial strips, treated or not treated by corticotrophin- releasing hormone (CRH). Although, the biochemical signification of these results remains to be elucidated, we contribute to emphasize CRH action at the myometrical level. The results reveal highly significant differences between pregnant and nonpregnant myometrium as well as in their response to CRH.

Matrix Addition and the Dunkl Transform at High Temperature

We develop a framework for establishing the Law of Large Numbers for the eigenvalues in the random matrix ensembles as the size of the matrix goes to infinity simultaneously with the beta (inverse temperature) parameter going to zero. Our approach is based on the analysis of the (symmetric) Dunkl transform in this regime. As an application we obtain the LLN for the sums of random matrices as the inverse temperature goes to 0. This results in a one-parameter family of binary operations which interpolates between classical and free convolutions of the probability measures. We also introduce and study a family of deformed cumulants, which linearize this operation.

Closed form solutions of Gerdjikov–Ivanov equation in nonlinear fiber optics involving the beta derivatives

In this paper, the closed form solutions of Gerdjikov–Ivanov equation with the beta derivatives are studied. This equation has quintic nonlinearity coefficients and group velocity dispersion, which shows the pulse behaviors in nonlinear fiber optics. It also has lots of significant applications in photonic crystal fibers. To this end, abundant families of closed form solutions in single or combined forms such as bright, singular, dark-singular are obtained by two systematic methods. Moreover, chaotic solutions are emerge as well. In order to understand dynamic behaviors of the begotten results, some computer simulations of the solutions are presented via some graphs with different values of the parameter beta. The results show that the approaches in this paper are efficient and direct methods to solve various fractional differential equations in mathematical physics.