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Journal articles on the topic 'Hyperbolic Cosine Model'

Author: Grafiati

Published: 4 June 2021

Last updated: 20 February 2023

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1

Pourhassan, B., and J. Naji. "Tachyonic matter cosmology with exponential and hyperbolic potentials." International Journal of Modern Physics D 26, no. 02 (2017): 1750012. http://dx.doi.org/10.1142/s0218271817500122.

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In this paper, we consider tachyonic matter in spatially flat Friedmann–Robertson–Walker (FRW) universe, and obtain behavior of some important cosmological parameters for two special cases of potentials. First, we assume the exponential potential and then consider hyperbolic cosine type potential. In both cases, we obtain behavior of the Hubble, deceleration and EoS parameters. Comparison with observational data suggest the model with hyperbolic cosine type scalar field potentials has good model to describe universe.

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Navó, G., та E. Elizalde. "Stability of hyperbolic and matter-dominated bounce cosmologies from F(R,𝒢)modified gravity at late evolution stages". International Journal of Geometric Methods in Modern Physics 17, № 11 (2020): 2050162. http://dx.doi.org/10.1142/s0219887820501625.

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The stability of two different bounce scenarios from [Formula: see text] modified gravity at later times is studied, namely a hyperbolic cosine bounce model and a matter-dominated one. After describing the main characteristics of [Formula: see text] modified gravity, the two different bounce scenarios stemming from this theory are reconstructed and their stability at late stages is discussed. The stability of the hyperbolic cosine model is proven, while the concrete matter-bounce model here chosen does not seem to accomplish the necessary conditions to be stable at later times.

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Abuelma'atti, Muhammad Taher. "Modelling of Nonuniform RC Structures for Computer Aided Design." Active and Passive Electronic Components 16, no. 2 (1994): 89–95. http://dx.doi.org/10.1155/1994/48291.

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A simple model for nonuniform distributed RC structures is presented. The model consists of three passive elements only and can be used for modelling nonuniform distributed RC structures involving exponential, hyperbolic sine squared, hyperbolic cosine squared and square taper geometries. The model can be easily implemented for computer-aided analysis and design of circuits and systems comprising nonuniform distributed RC structures.

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Dimitrijevic, Dragoljub, Goran Djordjevic, Milan Milosevic, and Marko Stojanovic. "Attractor behaviour of holographic inflation model for inverse cosine hyperbolic potential." Facta universitatis - series: Physics, Chemistry and Technology 18, no. 1 (2020): 65–73. http://dx.doi.org/10.2298/fupct2001065d.

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We study a model of tachyon inflation and its attractor solution in the framework of holographic cosmology. The model is based on a holographic braneworld scenario with a D3-brane located at the holographic boundary of an asymptotic ADS5 bulk. The tachyon field that drives inflation is represented by a Dirac-Born-Infeld (DBI) action on the brane. We examine the attractor trajectory in the phase space of the tachyon field for the case of inverse cosine hyperbolic tachyon potential.

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Joo, Seang-Hwane, Seokjoon Chun, Stephen Stark, and Olexander S. Chernyshenko. "Item Parameter Estimation With the General Hyperbolic Cosine Ideal Point IRT Model." Applied Psychological Measurement 43, no. 1 (2018): 18–33. http://dx.doi.org/10.1177/0146621618758697.

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Over the last decade, researchers have come to recognize the benefits of ideal point item response theory (IRT) models for noncognitive measurement. Although most applied studies have utilized the Generalized Graded Unfolding Model (GGUM), many others have been developed. Most notably, David Andrich and colleagues published a series of papers comparing dominance and ideal point measurement perspectives, and they proposed ideal point models for dichotomous and polytomous single-stimulus responses, known as the Hyperbolic Cosine Model (HCM) and the General Hyperbolic Cosine Model (GHCM), respect

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6

Andrich, David, and Guanzhong Luo. "A Hyperbolic Cosine Latent Trait Model For Unfolding Dichotomous Single-Stimulus Responses." Applied Psychological Measurement 17, no. 3 (1993): 253–76. http://dx.doi.org/10.1177/014662169301700307.

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7

Ghosh, U., T. Das, and S. Sarkar. "Homotopy Analysis Method and Time-fractional NLSE with Double Cosine, Morse, and New Hyperbolic Potential Traps." Nelineinaya Dinamika 18, no. 2 (2022): 309–28. http://dx.doi.org/10.20537/nd220211.

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A brief outline of the derivation of the time-fractional nonlinear Schrödinger equation (NLSE) is furnished. The homotopy analysis method (HAM) is applied to study time-fractional NLSE with three separate trapping potential models that we believe have not been investigated yet. The first potential is a double cosine potential $[V(x)=V_{1}\cos x+V_{2}\cos 2x]$, the second one is the Morse potential $[V(x)=V_{1}e^{-2\beta x}+V_{2}e^{-\beta x}]$, and a hyperbolic potential $[V(x)=V_{0}\tanh(x)\sech(x)]$ is taken as the third model. The fractional derivatives and integrals are described in the Cap

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AOKI, S., H. HIROSE, and Y. KIKUKAWA. "CHARGED FERMION STATES IN THE QUENCHED U(1) CHIRAL WILSON–YUKAWA MODEL." International Journal of Modern Physics A 09, no. 23 (1994): 4129–48. http://dx.doi.org/10.1142/s0217751x94001679.

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The property of charged fermion states is investigated in the quenched U(1) chiral Wilson–Yukawa model. Fitting the charged fermion propagator with a single hyperbolic cosine does not yield reliable results. On the other hand the behavior of the propagator including large lattice size dependence is well described by the large Wilson–Yukawa coupling expansion, providing strong evidence that no charged fermion state exists as an asymptotic particle in this model.

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9

Andrich, David, and Guanzhong Luo. "A Law of Comparative Preference: Distinctions Between Models of Personal Preference and Impersonal Judgment in Pair Comparison Designs." Applied Psychological Measurement 43, no. 3 (2017): 181–94. http://dx.doi.org/10.1177/0146621617738014.

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The pair comparison design for distinguishing between stimuli located on the same natural or hypothesized linear continuum is used both when the response is a personal preference and when it is an impersonal judgment. Appropriate models which complement the different responses have been proposed. However, the models most appropriate for impersonal judgments have also been described as modeling choice, which may imply personal preference. This leads to potential confusion in interpretation of scale estimates of the stimuli, in particular whether they reflect a substantive order on the variable

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10

Salim, Abdulghafoor, and Anas Youns Abdullah. "Studying the Stability of a Non-linear Autoregressive Model (Polynomial with Hyperbolic Cosine Function)." AL-Rafidain Journal of Computer Sciences and Mathematics 11, no. 1 (2014): 81–91. http://dx.doi.org/10.33899/csmj.2014.163733.

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11

Abdullah, Faizal Ade Rahmahuddin, and Elvi Syukrina Erianto. "Modeling a Wave on Mild Sloping Bottom Topography and Its Dispersion Relation Approximation." KUBIK: Jurnal Publikasi Ilmiah Matematika 7, no. 1 (2022): 1–10. http://dx.doi.org/10.15575/kubik.v7i1.18419.

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Linear wave theory is a simple theory that researchers and engineers often use to study a wave in deep, intermediate, and shallow water regions. Many researchers mostly used it over the horizontal flat seabed, but in actual conditions, sloping seabed always exists, although mild. In this research, we try to model a wave over a mild sloping seabed by linear wave theory and analyze the influence of the seabed’s slope on the solution of the model. The model is constructed from Laplace and Bernoulli equations together with kinematic and dynamic boundary conditions. We used the result of the analyt

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12

Andrich, David. "A hyperbolic cosine latent trait model for unfolding polytomous responses: Reconciling Thurstone and Likert methodologies." British Journal of Mathematical and Statistical Psychology 49, no. 2 (1996): 347–65. http://dx.doi.org/10.1111/j.2044-8317.1996.tb01093.x.

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13

Luo, Guanzhong. "A Joint Maximum Likelihood Estimation Procedure for the Hyperbolic Cosine Model for Single-Stimulus Responses." Applied Psychological Measurement 24, no. 1 (2000): 33–49. http://dx.doi.org/10.1177/01466216000241002.

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14

KLOPMAN, GERT, BRENNY VAN GROESEN, and MAARTEN W. DINGEMANS. "A variational approach to Boussinesq modelling of fully nonlinear water waves." Journal of Fluid Mechanics 657 (August 3, 2010): 36–63. http://dx.doi.org/10.1017/s0022112010001345.

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In this paper we present a new method to derive Boussinesq-type equations from a variational principle. These equations are valid for nonlinear surface-water waves propagating over bathymetry. The vertical structure of the flow, required in the Hamiltonian, is approximated by a (series of) vertical shape functions associated with unknown parameter(s). It is not necessary to make approximations with respect to the nonlinearity of the waves. The resulting approximate Hamiltonian is positive definite, contributing to the good dynamical behaviour of the resulting equations. The resulting flow equa

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15

Wang, Jue, George Engelhard, and Edward W. Wolfe. "Evaluating Rater Accuracy in Rater-Mediated Assessments Using an Unfolding Model." Educational and Psychological Measurement 76, no. 6 (2016): 1005–25. http://dx.doi.org/10.1177/0013164415621606.

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The number of performance assessments continues to increase around the world, and it is important to explore new methods for evaluating the quality of ratings obtained from raters. This study describes an unfolding model for examining rater accuracy. Accuracy is defined as the difference between observed and expert ratings. Dichotomous accuracy ratings (0 = inaccurate, 1 = accurate) are unfolded into three latent categories: inaccurate below expert ratings, accurate ratings, and inaccurate above expert ratings. The hyperbolic cosine model (HCM) is used to examine dichotomous accuracy ratings f

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16

Doncov, Nebojsa, Tatjana Asenov, Zoran Stankovic, John Paul, and Bratislav Milovanovic. "TLM Z-transform method modelling of Lossy Grin MTM with different refractive index profiles." Facta universitatis - series: Electronics and Energetics 25, no. 2 (2012): 103–12. http://dx.doi.org/10.2298/fuee1202103d.

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In this paper, a numerical three-dimensional (3D) model of electromagnetic lefthanded metamaterials (LH MTM) is applied for the modelling of composite right-left handed (RH/LH) structures with a graded refractive index profile commonly named GRIN MTM. The core of this model is Transmission Line Matrix (TLM) Z-transform method that incorporates the Drude function to account for dispersive LH MTM properties in the time-domain. Lossy GRIN slabs with abrupt, hyperbolic tangent, cosine, and linear refractive index profiles have been considered. The accuracy, efficiency and stability of the proposed

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17

Shim, Sang Oh, Tae Hwa Jung, Sang Chul Kim, and Ki Chan Kim. "Finite Element Model for Laplace Equation." Applied Mechanics and Materials 267 (December 2012): 9–12. http://dx.doi.org/10.4028/www.scientific.net/amm.267.9.

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The mild-slope equation has widely been used for calculation of shallow water wave transformation. Recently, its extended version was introduced, which is capable of modeling wave transformation on rapidly varying topography. These equations were derived by integrating the Laplace equation vertically. Here, we develop a finite element model to solve the Laplace equation directly while keeping the same computational efficiency as the mild-slope equation. This model assumes the vertical variation of the wave potential as a cosine hyperbolic function as done in the derivation of the mild-slope eq

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18

Atlas, Glen, John K.-J. Li, Shawn Amin, and Robert G. Hahn. "Development and Retrospective Clinical Assessment of a Patient-Specific Closed-Form Integro-Differential Equation Model of Plasma Dilution." Biomedical Engineering and Computational Biology 8 (January 1, 2017): 117959721773030. http://dx.doi.org/10.1177/1179597217730305.

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A closed-form integro-differential equation (IDE) model of plasma dilution (PD) has been derived which represents both the intravenous (IV) infusion of crystalloid and the postinfusion period. Specifically, PD is mathematically represented using a combination of constant ratio, differential, and integral components. Furthermore, this model has successfully been applied to preexisting data, from a prior human study, in which crystalloid was infused for a period of 30 minutes at the beginning of thyroid surgery. Using Euler’s formula and a Laplace transform solution to the IDE, patients could be

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19

Dutta, Jaideep, and Balaram Kundu. "Two-dimensional hybrid analytical approach for the investigation of thermal aspects in human tissue undergoing regional hyperthermia therapy." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 234, no. 20 (2020): 3951–66. http://dx.doi.org/10.1177/0954406220919460.

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The formation of the present work is based on the development of the exact analytical solution of two-dimensional temperature response by employing the hyperbolic heat conduction bioheat model in a single-layered human skin tissue subjected to the regional hyperthermia therapy (RHT) for cancer treatment. The mathematical approach has been utilized as a hybrid form of ‘separation of variables’ and ‘finite integral transform’ method. Three kinds of surface heat fluxes (constant, sinusoidal and cosine) have been employed as an external heat source on the therapeutic surface of the square-shaped s

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20

McGrane, Joshua A. "The Bipolarity of Attitudes: Unfolding the Implications of Ambivalence." Applied Psychological Measurement 43, no. 3 (2018): 211–25. http://dx.doi.org/10.1177/0146621618762741.

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Recently, some attitude researchers have argued that the traditional bipolar model of attitudes should be replaced, claiming that a bivariate model is superior in several ways, foremost of which is its ability to account for ambivalent attitudes. This study argues that ambivalence is not at odds with bipolarity per se, but rather the conventional view of bipolarity, and that the psychometric evidence supporting a bivariate interpretation has been flawed. To demonstrate this, a scale developed out of the bivariate approach was examined using a unidimensional unfolding item response theory model

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21

Qian, Kaihuan, and Xiaohua Zhou. "Weighted Log-Rank Test for Clinical Trials with Delayed Treatment Effect Based on a Novel Hazard Function Family." Mathematics 10, no. 15 (2022): 2573. http://dx.doi.org/10.3390/math10152573.

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In clinical trials with delayed treatment effect, the standard log-rank method in testing the difference between survival functions may have problems, including low power and poor robustness, so the method of weighted log-rank test (WLRT) is developed to improve the test performance. In this paper, a hyperbolic-cosine-shaped (CH) hazard function family model is proposed to simulate delayed treatment effect scenarios. Then, based on Fleming and Harrington’s method, this paper derives the corresponding weight function and its regular corrections, which are powerful in test, theoretically. Altern

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22

Reza, Selim, Marta Campos Ferreira, José J. M. Machado, and João Manuel R. S. Tavares. "Traffic State Prediction Using One-Dimensional Convolution Neural Networks and Long Short-Term Memory." Applied Sciences 12, no. 10 (2022): 5149. http://dx.doi.org/10.3390/app12105149.

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Traffic prediction is a vitally important keystone of an intelligent transportation system (ITS). It aims to improve travel route selection, reduce overall carbon emissions, mitigate congestion, and enhance safety. However, efficiently modelling traffic flow is challenging due to its dynamic and non-linear behaviour. With the availability of a vast number of data samples, deep neural network-based models are best suited to solve these challenges. However, conventional network-based models lack robustness and accuracy because of their incapability to capture traffic’s spatial and temporal corre

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23

Kalafi, Elham Yousef, Ata Jodeiri, Seyed Kamaledin Setarehdan, et al. "Classification of Breast Cancer Lesions in Ultrasound Images by Using Attention Layer and Loss Ensemble in Deep Convolutional Neural Networks." Diagnostics 11, no. 10 (2021): 1859. http://dx.doi.org/10.3390/diagnostics11101859.

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The reliable classification of benign and malignant lesions in breast ultrasound images can provide an effective and relatively low-cost method for the early diagnosis of breast cancer. The accuracy of the diagnosis is, however, highly dependent on the quality of the ultrasound systems and the experience of the users (radiologists). The use of deep convolutional neural network approaches has provided solutions for the efficient analysis of breast ultrasound images. In this study, we propose a new framework for the classification of breast cancer lesions with an attention module in a modified V

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24

Montoya, Oscar Danilo, Luis Fernando Grisales-Noreña, and Jesús C. Hernández. "A Recursive Conic Approximation for Solving the Optimal Power Flow Problem in Bipolar Direct Current Grids." Energies 16, no. 4 (2023): 1729. http://dx.doi.org/10.3390/en16041729.

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This paper proposes a recursive conic approximation methodology to deal with the optimal power flow (OPF) problem in unbalanced bipolar DC networks. The OPF problem is formulated through a nonlinear programming (NLP) representation, where the objective function corresponds to the minimization of the expected grid power losses for a particular load scenario. The NLP formulation has a non-convex structure due to the hyperbolic equality constraints that define the current injection/absorption in the constant power terminals as a function of the powers and voltages. To obtain an approximate convex

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25

Stavek, Jiri. "Super-Elastic Double-Helix Model of Photon. Huygens-de Broglie Particle on the Helical Path Guided by the Newton-Bohm Entangled Helical Evolute. Quantum of Magnetic Flux Based on the Mathematical Beauty of Newton, Lorentz, Einstein, Dirac, Gell-Mann, Schw." Applied Physics Research 11, no. 4 (2019): 40. http://dx.doi.org/10.5539/apr.v11n4p40.

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In our approach we have combined knowledge of Old Masters (working in this field before the year 1905), New Masters (working in this field after the year 1905) and Dissidents under the guidance of Louis de Broglie and David Bohm. In our model the photon is represented as the Huygens-de Broglie&rsquo;s particle on the helical path (full wave) guided by the Newton-Bohm entangled evolute (empty wave). We have formulated the concept of the Super-Elastic Photon WAVE based on the Great Works of Weber, Abbe, Voigt and Einstein. This model works with the longitudinal elasticity of that WAVE that w

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26

Andrich, David. "Hyperbolic Cosine Latent Trait Models for Unfolding Direct Responses and Pairwise Preferences." Applied Psychological Measurement 19, no. 3 (1995): 269–90. http://dx.doi.org/10.1177/014662169501900306.

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27

Sabi’u, Jamilu, Hadi Rezazadeh, Rodica Cimpoiasu, and Radu Constantinescu. "Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method." International Journal of Nonlinear Sciences and Numerical Simulation 23, no. 3-4 (2021): 539–51. http://dx.doi.org/10.1515/ijnsns-2019-0206.

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Abstract In this paper, we have approached a complicated nonlinear wave equation which links the Rosenau–Kawahara equation to the regularized long wave (RLW) equation. Taking advantages from the sine–cosine method as well as from the generalized auxiliary equation method, we have successfully reached to three types of traveling wave solutions: periodic, hyperbolic and exponential ones. Our results do constitute themselves as a challenge to apply the mentioned techniques in order to solve other generalized dynamical models, for example, the ones which involve phenomena such as a fully nonlinear

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28

Tsvankin, Ilya. "Normal moveout from dipping reflectors in anisotropic media." GEOPHYSICS 60, no. 1 (1995): 268–84. http://dx.doi.org/10.1190/1.1443755.

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Description of reflection moveout from dipping interfaces is important in developing seismic processing methods for anisotropic media, as well as in the inversion of reflection data. Here, I present a concise analytic expression for normal‐moveout (NMO) velocities valid for a wide range of homogeneous anisotropic models including transverse isotropy with a tilted in‐plane symmetry axis and symmetry planes in orthorhombic media. In transversely isotropic media, NMO velocity for quasi‐P‐waves may deviate substantially from the isotropic cosine‐of‐dip dependence used in conventional constant‐velo

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29

Akhtar, J., K. U. Tariq, M. M. A. Khater, A. Houwe, and M. Inc. "A variety of exact solutions for fractional (2+1)-dimensional Heisenberg ferromagnetic spin chain in the semi classical limit." Revista Mexicana de Física 67, no. 4 Jul-Aug (2021): 040701. http://dx.doi.org/10.31349/revmexfis.67.040701.

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This paper investigates exact voyaging (2 + 1) dimensional Heisenberg ferromagnetic spin chain solutions with conformable fractional derivatives, an important family of nonlinear equations from Schrödinger (NLSE) for the construction of hyperbolic, trigonometric and complex function solutions. The detailed rational sine-cosine system and rational sinh-cosh system were used to locate dim, special and periodic wave solutions successfully. These findings suggest that the proposed approaches may be useful to investigate a range of solutions inside a repository of applied sciences and engineering,

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30

Zhang, Zhiwei, Rajendra Singh, and Ashley R. Crowther. "Limitations of Smoothening Functions for Automotive Vibro-Impact Problems." Shock and Vibration 18, no. 1-2 (2011): 397–406. http://dx.doi.org/10.1155/2011/102720.

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Nonlinear torsional models are used to analyze automotive transmission rattle problems and find solutions to reduce noise, vibration and dynamic loads. The torsional stiffness and inertial distribution of such systems show that the underlying mathematical problem is numerically stiff. In addition, the clearance nonlinearities in the gear meshes introduce discontinuous functions. Both factors affect the efficacy of time domain integration and smoothening functions are widely used to overcome computational difficulties and improve the simulation. In this paper, alternate smoothening functions ar

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31

Wang, Jue, George Engelhard, and Trenton Combs. "Exploring difficult-to-score essays with a hyperbolic cosine accuracy model and Coh-Metrix indices." Journal of Experimental Education, November 2, 2021, 1–20. http://dx.doi.org/10.1080/00220973.2021.1993774.

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32

Konik, Robert, Márton Lájer, and Giuseppe Mussardo. "Approaching the self-dual point of the sinh-Gordon model." Journal of High Energy Physics 2021, no. 1 (2021). http://dx.doi.org/10.1007/jhep01(2021)014.

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Abstract One of the most striking but mysterious properties of the sinh-Gordon model (ShG) is the b → 1/b self-duality of its S-matrix, of which there is no trace in its Lagrangian formulation. Here b is the coupling appearing in the model’s eponymous hyperbolic cosine present in its Lagrangian, cosh(bϕ). In this paper we develop truncated spectrum methods (TSMs) for studying the sinh-Gordon model at a finite volume as we vary the coupling constant. We obtain the expected results for b ≪ 1 and intermediate values of b, but as the self-dual point b = 1 is approached, the basic application of th

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33

Mohammed, Wael W., Hijaz Ahmad, Hamid Boulares, Fathi Khelifi, and Mahmoud El-Morshedy. "Exact solutions of Hirota–Maccari system forced by multiplicative noise in the Itô sense." Journal of Low Frequency Noise, Vibration and Active Control, June 24, 2021, 146134842110281. http://dx.doi.org/10.1177/14613484211028100.

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In this article, the stochastic Hirota–Maccari system forced in the Itô sense by multiplicative noise is considered. We just use the He’s semi-inverse method, sine–cosine method, and Riccati–Bernoulli sub-ODE method to get new stochastic solutions which are hyperbolic, trigonometric, and rational. The major benefit of these three approaches is that they can be used to solve similar models. Furthermore, we plot 3D surfaces of analytical solutions obtained in this article by using MATLAB to illustrate the effect of multiplicative noise on the exact solution of the Hirota–Maccari method.

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Bhargava, Parth, Sayantan Choudhury, Satyaki Chowdhury, et al. "Quantum aspects of chaos and complexity from bouncing cosmology: A study with two-mode single field squeezed state formalism." SciPost Physics Core 4, no. 4 (2021). http://dx.doi.org/10.21468/scipostphyscore.4.4.026.

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Circuit Complexity, a well known computational technique has recently become the backbone of the physics community to probe the chaotic behaviour and random quantum fluctuations of quantum fields. This paper is devoted to the study of out-of-equilibrium aspects and quantum chaos appearing in the universe from the paradigm of two well known bouncing cosmological solutions viz. Cosine hyperbolic and Exponential models of scale factors. Besides circuit complexity, we use the Out-of-Time Ordered correlation (OTOC) functions for probing the random behaviour of the universe both at early and the lat

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