Relevant bibliographies by topics / Hyperbolic Cosine Model

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  2. Dissertations / Theses
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Academic literature on the topic 'Hyperbolic Cosine Model'

Author: Grafiati
Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Hyperbolic Cosine Model"

1

Pourhassan, B., and J. Naji. "Tachyonic matter cosmology with exponential and hyperbolic potentials." International Journal of Modern Physics D 26, no. 02 (February 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., and 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, no. 11 (August 26, 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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4

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 (April 26, 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), respectively. These models have item response functions resembling the GGUM and its more constrained forms, but they are mathematically simpler. Despite the apparent impact of Andrich’s work on ensuing investigations, the HCM and GHCM have been largely overlooked by applied researchers. This may stem from questions about the compatibility of the parameter metric with other ideal point estimation and model-data fit software or seemingly unrealistic parameter estimates sometimes produced by the original joint maximum likelihood (JML) estimation software. Given the growing list of ideal point applications and variations in sample and scale characteristics, the authors believe these HCMs warrant renewed consideration. To address this need and overcome potential JML estimation difficulties, this study developed a marginal maximum likelihood (MML) estimation algorithm for the GHCM and explored parameter estimation requirements in a Monte Carlo study manipulating sample size, scale length, and data types. The authors found a sample size of 400 was adequate for parameter estimation and, in accordance with GGUM studies, estimation was superior in polytomous conditions.
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Andrich, David, and Guanzhong Luo. "A Hyperbolic Cosine Latent Trait Model For Unfolding Dichotomous Single-Stimulus Responses." Applied Psychological Measurement 17, no. 3 (September 1993): 253–76. http://dx.doi.org/10.1177/014662169301700307.

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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 Caputo and Riemann Liouville sense, respectively. The solutions are given in the form of convergent series with easily computable components. A physical analysis with graphical representations explicitly reveals that HAM is effective and convenient for solving nonlinear differential equations of fractional order.
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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 (September 20, 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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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 (November 2, 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 or reflect a characteristic of the sample which is different from the substantive order on the variable. Using Thurstone’s concept of a discriminal response when a person engages with each stimulus, this article explains the overlapping and distinctive relationships between models for pair comparison designs when used for preference and judgment. In doing so, it exploits the properties of the relatively new hyperbolic cosine model which is not only appropriate for modeling personal preferences but has an explicit mathematical relationship with models for impersonal judgments. The hyperbolic cosine model is shown to be a special case of a more general form, referred to in parallel with Thurstone’s Law of Comparative Judgment, as a specific law of comparative preference. Analyses of two real data sets illustrate the differences between the models most appropriate for personal preferences and impersonal judgments in a pair comparison design.
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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 (July 1, 2014): 81–91. http://dx.doi.org/10.33899/csmj.2014.163733.

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Dissertations / Theses on the topic "Hyperbolic Cosine Model"

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Johnson, Timothy Kevin. "A reformulation of Coombs' Theory of Unidimensional Unfolding by representing attitudes as intervals." Thesis, The University of Sydney, 2004. http://hdl.handle.net/2123/612.

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An examination of the logical relationships between attitude statements suggests that attitudes can be ordered according to favourability, and can also stand in relationships of implication to one another. The traditional representation of attitudes, as points on a single dimension, is inadequate for representing both these relations but representing attitudes as intervals on a single dimension can incorporate both favourability and implication. An interval can be parameterised using its two endpoints or alternatively by its midpoint and latitude. Using this latter representation, the midpoint can be understood as the �favourability� of the attitude, while the latitude can be understood as its �generality�. It is argued that the generality of an attitude statement is akin to its latitude of acceptance, since a greater semantic range increases the likelihood of agreement. When Coombs� Theory of Unidimensional Unfolding is reformulated using the interval representation, the key question is how to measure the distance between two intervals on the dimension. There are innumerable ways to answer this question, but the present study restricts attention to eighteen possible �distance� measures. These measures are based on nine basic distances between intervals on a dimension, as well as two families of models, the Minkowski r-metric and the Generalised Hyperbolic Cosine Model (GHCM). Not all of these measures are distances in the strict sense as some of them fail to satisfy all the metric axioms. To distinguish between these eighteen �distance� measures two empirical tests, the triangle inequality test, and the aligned stimuli test, were developed and tested using two sets of attitude statements. The subject matter of the sets of statements differed but the underlying structure was the same. It is argued that this structure can be known a priori using the logical relationships between the statement�s predicates, and empirical tests confirm the underlying structure and the unidimensionality of the statements used in this study. Consequently, predictions of preference could be ascertained from each model and either confirmed or falsified by subjects� judgements. The results indicated that the triangle inequality failed in both stimulus sets. This suggests that the judgement space is not metric, contradicting a common assumption of attitude measurement. This result also falsified eleven of the eighteen �distance� measures because they predicted the satisfaction of the triangle inequality. The aligned stimuli test used stimuli that were aligned at the endpoint nearest to the ideal interval. The results indicated that subjects preferred the narrower of the two stimuli, contrary to the predictions of six of the measures. Since these six measures all passed the triangle inequality test, only one measure, the GHCM (item), satisfied both tests. However, the GHCM (item) only passes the aligned stimuli tests with additional constraints on its operational function. If it incorporates a strictly log-convex function, such as cosh, the GHCM (item) makes predictions that are satisfied in both tests. This is also evidence that the latitude of acceptance is an item rather than a subject or combined parameter.
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2

Johnson, Timothy Kevin. "A reformulation of Coombs' Theory of Unidimensional Unfolding by representing attitudes as intervals." University of Sydney. Psychology, 2004. http://hdl.handle.net/2123/612.

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Abstract:
An examination of the logical relationships between attitude statements suggests that attitudes can be ordered according to favourability, and can also stand in relationships of implication to one another. The traditional representation of attitudes, as points on a single dimension, is inadequate for representing both these relations but representing attitudes as intervals on a single dimension can incorporate both favourability and implication. An interval can be parameterised using its two endpoints or alternatively by its midpoint and latitude. Using this latter representation, the midpoint can be understood as the �favourability� of the attitude, while the latitude can be understood as its �generality�. It is argued that the generality of an attitude statement is akin to its latitude of acceptance, since a greater semantic range increases the likelihood of agreement. When Coombs� Theory of Unidimensional Unfolding is reformulated using the interval representation, the key question is how to measure the distance between two intervals on the dimension. There are innumerable ways to answer this question, but the present study restricts attention to eighteen possible �distance� measures. These measures are based on nine basic distances between intervals on a dimension, as well as two families of models, the Minkowski r-metric and the Generalised Hyperbolic Cosine Model (GHCM). Not all of these measures are distances in the strict sense as some of them fail to satisfy all the metric axioms. To distinguish between these eighteen �distance� measures two empirical tests, the triangle inequality test, and the aligned stimuli test, were developed and tested using two sets of attitude statements. The subject matter of the sets of statements differed but the underlying structure was the same. It is argued that this structure can be known a priori using the logical relationships between the statement�s predicates, and empirical tests confirm the underlying structure and the unidimensionality of the statements used in this study. Consequently, predictions of preference could be ascertained from each model and either confirmed or falsified by subjects� judgements. The results indicated that the triangle inequality failed in both stimulus sets. This suggests that the judgement space is not metric, contradicting a common assumption of attitude measurement. This result also falsified eleven of the eighteen �distance� measures because they predicted the satisfaction of the triangle inequality. The aligned stimuli test used stimuli that were aligned at the endpoint nearest to the ideal interval. The results indicated that subjects preferred the narrower of the two stimuli, contrary to the predictions of six of the measures. Since these six measures all passed the triangle inequality test, only one measure, the GHCM (item), satisfied both tests. However, the GHCM (item) only passes the aligned stimuli tests with additional constraints on its operational function. If it incorporates a strictly log-convex function, such as cosh, the GHCM (item) makes predictions that are satisfied in both tests. This is also evidence that the latitude of acceptance is an item rather than a subject or combined parameter.
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Books on the topic "Hyperbolic Cosine Model"

1

Ninul, Anatolij Sergeevič. Tenzornaja trigonometrija: Teorija i prilozenija / Theory and Applications /. Moscow, Russia: Mir Publisher, 2004.

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Ninul, Anatolij Sergeevič. Tensor Trigonometry. Moscow, Russia: Fizmatlit Publisher, 2021.

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Book chapters on the topic "Hyperbolic Cosine Model"

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Yuan, Ye, and George Engelhard. "Identifying Zones of Targeted Feedback with a Hyperbolic Cosine Model." In Springer Proceedings in Mathematics & Statistics, 237–48. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-04572-1_18.

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Wang, Jue, and George Engelhard. "A Hyperbolic Cosine Unfolding Model for Evaluating Rater Accuracy in Writing Assessments." In Pacific Rim Objective Measurement Symposium (PROMS) 2015 Conference Proceedings, 183–97. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-1687-5_12.

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3

Andrich, David. "A Hyperbolic Cosine IRT Model for Unfolding Direct Responses of Persons to Items." In Handbook of Modern Item Response Theory, 399–414. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4757-2691-6_23.

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Conference papers on the topic "Hyperbolic Cosine Model"

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Barbaro, Giuseppe, Giandomenico Foti, and Giovanni Malara. "Set-Up due to Random Waves: Influence of the Directional Spectrum." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-49977.

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This paper deals with the estimation of set-up due to irregular waves. Following the logic of Barbaro and Martino [1], it is derived the analytical expression of the set-up. The solution is based on the hypotheses of straight, parallel depth contours and constant average flow parameters in the longshore direction. In this context, the corresponding value of the set-up is calculated from a specified off-shore directional spectrum. The effect of the assumed directional spectrum is investigated. In particular, set-up is estimated by considering the following frequency spectra: Pierson-Moskowitz [2], JONSWAP [3] and Ochi-Hubble [4]. Further, influence of the spreading function is investigated by assuming a cosine-power [5] and a hyperbolic spreading function [6]. It is shown that the assumed off-shore spectrum significantly modifies the estimated set-up. It is proposed a practical application. The estimation has been carried out by considering various Italian and American locations. The model is applied from buoy data, that are provided by ISPRA (Istituto Superiore per la Protezione e la Ricerca Ambientale) and by NDBC (National Data Buoy Center).
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Zheng, Zhi-Ying, Lu Wang, Qian Li, Yue Wang, Wei-Hua Cai, and Feng-Chen Li. "Numerical Study on the Characteristics of Natural Supercavitation by Planar Symmetric Cavitators With Streamlined Headforms." In ASME 2017 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/fedsm2017-69189.

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A novel supercavitation-based device named Rotational Supercavitating Evaporator (RSCE) was recently designed for desalination. In order to improve the blade shape of rotational cavitator in RSCE for performance optimization and then design three-dimensional blades, two-dimensional numerical simulations are conducted on the supercavitating flows (with cavitation number ranging from 0.055 to 0.315) around six planar symmetric cavitators with different streamlined headforms utilizing k – ε – v′2 – f turbulence model and Schnerr-Sauer cavitation model. We obtain the characteristics of natural supercavitation for each cavitator, including the shape and resistance characteristics and the mass transfer rate from liquid phase to vapor phase. The effects of the shape of the headform on these characteristics are analyzed. The results show that the supercavity sizes for most cavitators with streamlined headforms are smaller than that for wedge-shaped cavitator, except for the one with the profile of the forebody concaving to the inside of the cavitator. Cavitation initially occurs on the surface of the forebody for the cavitators with small curvature of the front end. Even though the pressure drag of the cavitator with streamlined headform is dramatically reduced compared with that of wedge-shaped cavitator, the pressure drag still accounts for most of the total drag. Both the drag and the mass transfer rate from liquid phase to vapor phase are in positive correlation with the supercavity size, indicating that the cavitators with the elliptic and hyperbolic cosine-type forebodies could be utilized for the optimal design of three-dimensional blade shape of RSCE.
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