Relevant bibliographies by topics / Symmetric mean

Academic literature on the topic 'Symmetric mean'

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Published: 8 September 2023

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Journal articles on the topic "Symmetric mean"

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Mihoković, Lenka. "Coinciding Mean of the Two Symmetries on the Set of Mean Functions." Axioms 12, no. 3 (February 25, 2023): 238. http://dx.doi.org/10.3390/axioms12030238.

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On the set M of mean functions, the symmetric mean of M with respect to mean M0 can be defined in several ways. The first one is related to the group structure on M, and the second one is defined trough Gauss’ functional equation. In this paper, we provide an answer to the open question formulated by B. Farhi about the matching of these two different mappings called symmetries on the set of mean functions. Using techniques of asymptotic expansions developed by T. Burić, N. Elezović, and L. Mihoković (Vukšić), we discuss some properties of such symmetries trough connection with asymptotic expansions of means involved. As a result of coefficient comparison, a new class of means was discovered, which interpolates between harmonic, geometric, and arithmetic mean.
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Chen, Lin-An, and Yuang-Chin Chiang. "Symmetric quantile and symmetric trimmed mean for linear regression model." Journal of Nonparametric Statistics 7, no. 2 (January 1996): 171–85. http://dx.doi.org/10.1080/10485259608832697.

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Dziuk, G., and B. Kawohl. "On rotationally symmetric mean curvature flow." Journal of Differential Equations 93, no. 1 (September 1991): 142–49. http://dx.doi.org/10.1016/0022-0396(91)90024-4.

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Trif, Tiberiu. "Sharp inequalities involving the symmetric mean." Miskolc Mathematical Notes 3, no. 2 (2002): 157. http://dx.doi.org/10.18514/mmn.2002.59.

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Sukochev, Fedor, and Aleksandr Veksler. "Mean ergodic theorem in symmetric spaces." Comptes Rendus Mathematique 355, no. 5 (May 2017): 559–62. http://dx.doi.org/10.1016/j.crma.2017.03.014.

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Sukochev, Fedor, and Aleksandr Veksler. "The Mean Ergodic Theorem in symmetric spaces." Studia Mathematica 245, no. 3 (2019): 229–53. http://dx.doi.org/10.4064/sm170311-31-10.

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Bidaut-Véron, Marie-Françoise. "Rotationally symmetric hypersurfaces with prescribed mean curvature." Pacific Journal of Mathematics 173, no. 1 (March 1, 1996): 29–67. http://dx.doi.org/10.2140/pjm.1996.173.29.

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Guo, LuJun, and GangSong Leng. "Mean width inequalities for symmetric Wulff shapes." Science China Mathematics 57, no. 8 (February 22, 2014): 1649–56. http://dx.doi.org/10.1007/s11425-014-4789-z.

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Cao, Ricardo, and JoséManuel Prada-Sánchez. "Bootstrapping the mean of a symmetric population." Statistics & Probability Letters 17, no. 1 (May 1993): 43–48. http://dx.doi.org/10.1016/0167-7152(93)90193-m.

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Ferreira, Maria João, and Renato Tribuzy. "Parallel mean curvature surfaces in symmetric spaces." Arkiv för Matematik 52, no. 1 (April 2014): 93–98. http://dx.doi.org/10.1007/s11512-012-0170-z.

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Dissertations / Theses on the topic "Symmetric mean"

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Acar, Fatma. "Spinodal Instabilities In Symmetric Nuclear Matter Within A Nonlinear Relativistic Mean-field Approach." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613472/index.pdf.

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Spinodal instability mechanism and early development of density fluctuations for symmetric nuclear matter at finite temperature are studied. A stochastic extension of Walecka-type relativistic mean-field model including non-linear self-interactions of scalar mesons with NL3 parameter set is employed in the semi-classical approximation. The growth rates of unstable collective modes are investigated below the normal density and at low temperatures. The system exhibits most unstable behavior in longer wave lengths at baryon densities &rho
B = 0.4 &rho
0 , while most unstable behavior occurs in shorter wavelengths at lower baryon densities &rho
B = 0.2 &rho
0 . The unstable response of the system shifts towards longer wavelengths with the increasing temperature at both densities. The early growth of the density correlation functions are calculated, which provide valuable information about the initial size of the condensation and the average speed of condensing fragments. Furthermore, the relativistic results are compared with Skyrme type non-relativistic calculations. Qualitatively similar results are found in both non-relativistic and relativistic descriptions.
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Danisman, Betul. "Spinodal Instabilities In Symmetric Nuclear Matter Within A Density-dependent Relativistic Mean-field Approach." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613473/index.pdf.

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The nuclear matter liquid-gas phase transition is expected to be a signal of nuclear spinodal instabilities as a result of density fluctuations. Nuclear spinodal instabilities in symmetric nuclear matter are studied within a stochastic relativistic density-dependent model in semi-classical approximation. We use two parameterization for the Lagrange density, DDME1 and TW sets. The early growth of density fluctuations is investigated by employing relativistic Vlasov equation based on QHD and discussed the cluster size of the condensations from the early growth of density correlation functions. Expectations are that hot nuclear matter behaves unstable around &rho
b &asymp
&rho
0/4 (below the saturation density) and at low temperatures. We therefore present our results at low temperature T=1 MeV and at higher temperature T=5 MeV, and also at a lower initial baryon density &rho
b = 0.2 &rho
0 and a higher value &rho
b = 0.4 &rho
0 where unstable behavior is within them. Calculations in density-dependent model are compared with the other calculations obtained in a relativistic non-linear model and in a Skyrme type nonivrelativistic model. Our results are consistent with them. Qualitatively similar results show that the physics of the quantities are model-independent. The size of clusterization is estimated in two ways, by using half-wavelength of the most unstable mode and from the width of correlation function at half maximum. Furthermore, the average speed of condensing fragments during the initial phase of spinodal decomposition are determined by using the current density correlation functions.
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Stroot, Maren [Verfasser]. "Singular behaviour of rotationally symmetric surfaces of codimension two evolving under mean curvature flow / Maren Stroot." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover, 2010. http://d-nb.info/1008374482/34.

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GHIO, Maddalena. "Mean-Field games with absorption and singular controls." Doctoral thesis, Scuola Normale Superiore, 2021. http://hdl.handle.net/11384/108480.

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The first part of the work is devoted to mean-field games with absorption, a class of games that can be viewed as natural limits of symmetric stochastic differential games with a large number of players who, interacting through a mean-field, leave the game as soon as their private states hit a given boundary. In most of the literature on mean-field games, all players stay in the game until the end of the period, while in many applications, especially in economics and finance, it is natural to have a mechanism deciding when a player has to leave. Such a mechanism can be modelled by introducing an absorbing boundary for the state space. The second part of the thesis, deals with mean-field games of finite-fuel capacity expansion with singular controls. While singular control problems with finite (and infinite) fuel find numerous applications in the economic literature and originated from the engineering literature in the late 60’s, many-player game versions of these problems have only very recently been introduced. They are a natural extension of the single agent set-up and allow to model numerous applied situations. In our work in particular, we make assumptions on the structure of the interaction across players that are suitable to model the so-called goodwill problem. Altogether, the original contribution to the mean-field games literature of the present work is threefold. First, it contributes to the development of mean-field games with absorption, continuing the work of Campi and Fischer (2018) and considerably generalizing the original model by relaxing the assumptions and setting it into a more abstract, infinite-dimensional, framework. Second, it introduces a new set of tools to deal with mean-field games with singular controls, extending the well-known connection between singular stochastic control and optimal stopping to mean-field games. Finally, it also contributes to the numerical literature on mean-field games, by proposing a numerical scheme to approximate the solutions of mean-field games with singular controls with a constructive approach. Overall, this thesis focuses on newly introduced branches of the theory of meanfield games that display a high potential for economic and financial applications, contributing to the literature not only by further developing the existing theory but also by working in directions that make the these models more suitable to applications
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Cao, Jennifer Yue. "The performance and robustness of confidence intervals for the median of a symmetric distribution constructed assuming sampling from a Cauchy distribution." Kansas State University, 2012. http://hdl.handle.net/2097/14897.

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Master of Science
Department of Statistics
Paul Nelson
Trimmed means are robust estimators of location for distributions having heavy tails. Theory and simulation indicate that little efficiency is lost under normality when using appropriately trimmed means and that their use with data from distributions with heavy tails can result in improved performance. This report uses the principle of equivariance applied to trimmed means sampled from a Cauchy distribution to form a discrepancy function of the data and parameters whose distribution is free of the unknown median and scale parameter. Quantiles of this discrepancy function are estimated via asymptotic normality and simulation and used to construct confidence intervals for the median of a Cauchy distribution. A nonparametric approach based on the distribution of order statistics is also used to construct confidence intervals. The performance of these intervals in terms of coverage rate and average length is investigated via simulation when the data are actually sampled from a Cauchy distribution and when sampling is from normal and logistic distributions. The intervals based on simulation estimation of the quantiles of the discrepancy function are shown to perform well across a range of sample sizes and trimming proportions when the data are actually sampled from a Cauchy distribution and to be relatively robust when sampling is from the normal and logistic distributions.
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Ramos, Álvaro Krüger. "Constant mean curvature hypersurfaces on symmetric spaces, minimal graphs on semidirect products and properly embedded surfaces in hyperbolic 3-manifolds." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2015. http://hdl.handle.net/10183/118222.

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Provamos resultados sobre a geometria de hipersuperfícies em diferentes espaços ambiente. Primeiro, definimos uma aplicação de Gauss generalizada para uma hipersuperfície Mn-1 c/ Nn, onde N é um espaço simétrico de dimensão n ≥ 3. Em particular, generalizamos um resultado de Ruh-Vilms e apresentamos aplicações. Em seguida, estudamos superfícies em espaços de dimensão 3: estudamos a equação da curvatura média em um produto semidireto R2oAR e obtemos estimativas da altura e a existência de gráficos mínimos do tipo Scherk. Finalmente, no espaço ambiente de uma variedade hiperbólica de dimensão 3: nós apresentamos condições suficientes para que um mergulho completo de uma superfície ∑ de topologia finita em N com curvatura média |H∑| ≤ 1 seja próprio.
We prove results concerning the geometry of hypersurfaces on di erent ambient spaces. First, we de ne a generalized Gauss map for a hypersurface Mn-1 c/ Nn, where N is a symmetric space of dimension n ≥ 3. In particular, we generalize a result due to Ruh-Vilms and make some applications. Then, we focus on surfaces on spaces of dimension 3: we study the mean curvature equation of a semidirect product R2 oA R to obtain height estimates and the existence of a Scherk-like minimal graph. Finally, on the ambient space of a hyperbolic manifold N of dimension 3 we give su cient conditions for a complete embedding of a nite topology surface ∑ on N with mean curvature |H∑| ≤ 1 to be proper.
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Karlsson, Emil. "The unweighted mean estimator in a Growth Curve model." Thesis, Linköpings universitet, Matematisk statistik, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-131043.

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The field of statistics is becoming increasingly more important as the amount of data in the world grows. This thesis studies the Growth Curve model in multivariate statistics which is a model that is not widely used. One difference compared with the linear model is that the Maximum Likelihood Estimators are more complicated. That makes it more difficult to use and to interpret which may be a reason for its not so widespread use. From this perspective this thesis will compare the traditional mean estimator for the Growth Curve model with the unweighted mean estimator. The unweighted mean estimator is simpler than the regular MLE. It will be proven that the unweighted estimator is in fact the MLE under certain conditions and examples when this occurs will be discussed. In a more general setting this thesis will present conditions when the un-weighted estimator has a smaller covariance matrix than the MLEs and also present confidence intervals and hypothesis testing based on these inequalities.
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Kapetanopoulos, Tobias [Verfasser], Amin [Akademischer Betreuer] Coja-Oghlan, Amin [Gutachter] Coja-Oghlan, and Nicola [Gutachter] Kistler. "The replica symmetric phase in diluted mean-field models and the sharp threshold for jigsaw percolation in random graphs / Tobias Kapetanopoulos ; Gutachter: Amin Coja-Oghlan, Nicola Kistler ; Betreuer: Amin Coja-Oghlan." Frankfurt am Main : Universitätsbibliothek Johann Christian Senckenberg, 2019. http://d-nb.info/119312607X/34.

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Ryssens, Wouter. "Symmetry breaking in nuclear mean-field models." Doctoral thesis, Universite Libre de Bruxelles, 2016. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/235692.

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Dans les années 1970, Vautherin et Brink ont effectué les premiers calculs auto-consistents du problème à N-corps nucléaire en utilisant une interaction de Skyrme. Aujourd’hui la méthode de la fonctionnelle de densité (EDF) ou la méthode champ-moyen est toujours utilisée à grande échelle pour étudier la structure nucléaire. Le premier point fort de cette méthode est sa simplicité computationnelle qui permet de l'appliquer dans l'entièreté de la charte nucléaire, des noyaux les plus légers aux éléments super lourds à plus que 250 nucléons. Depuis le début des années 1980, les initiales `BFH', représentant Paul Bonche, Hubert Flocard et Paul-Henri Heenen, ont signé un grand nombre des papiers depuis 1984. Ces trois scientifiques sont les auteurs de trois codes numériques iconiques EV8, CR8 et EV4. Des versions évoluées de ces codes sont toujours utilisées fréquemment aujourd’hui par des nombreux chercheurs. Au fil des années, deux désavantages de ces trois codes sont apparus. Le premier désavantage est lié à la physique: bien que EV8, EV4 et CR8 offrent à l'utilisateur accès à une variété de combinaisons de symétries conservées et brisées, un grand nombre n'est pas accessible. De plus en plus souvent, les applications traitant des noyaux exotiques demandent des calculs champ-moyen qui sont moins limités par les symétries imposées. Le deuxième désavantage est d'une nature plus pratique: le maintien au même niveau d'une combinaison de trois codes qui ont des buts comparables est difficile. Le projet de mon doctorat était de construire un code qui unifie et généralise les fonctionnalités de EV8, CR8 et EV4. Aujourd'hui MOCCa, un acronyme de MOdular Cranking Code, est capable de reproduire toutes les fonctionnalités des codes BFH. De plus, il est maintenant possible d'effectuer des calculs champ-moyen pour un nombre des combinaisons de symétries conservées et brisées, offrant un domaine d'applications énorme. Quatre symétries ont été toujours imposées dans les codes BFH, et sont maintenant toutes soumises au choix de l'utilisateur, qui peut les conserver où les briser indépendamment. Ceci résulte en 16 modes d'opération différents du code, dont tous ont des intérêts physiques pour décrire des phénomènes nucléaires. La déformation octupolaire du 224Ra et les bandes chirales du 138Nd sont des exemples récents d'intérêt expérimental, dont la description théorique est maintenant abordable avec un seul outil. Cet outil fait preuve d'une grande complexité: sur le plan physique, des méthodes ont été développées pour résoudre les équations du champ-moyen en l'absence des symétries facilitant le problème, tandis que sur le plan pratique, le traitement d'un nombre de degrés de liberté non-physiques a eté amelioré. La dernière partie de la thèse, la plus importante probablement du point de vue des futurs collaborateurs, est pour cette raison constituée d'un manuel d'utilisateur. Deux applications de la méthode sont ainsi présentées: la description des transitions de forme dans les isotopes de Radium et une étude de l'évolution des rayons de charge dans la chaîne isotopique du mercure démontrent la viabilité de la méthode.
Option Physique du Doctorat en Sciences
info:eu-repo/semantics/nonPublished
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Hynd, Ryan Charles. "Minimal Surfaces in three-sphere with special spherical symmetry." Thesis, Georgia Institute of Technology, 2004. http://hdl.handle.net/1853/5104.

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We introduce the notion of special spherical symmetry and classify the complete regular minimal surfaces in the three sphere having this symmetry. We also show that the Clifford torus is the unique embedded minimal torus in three sphere possessing special spherical symmetry.
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Books on the topic "Symmetric mean"

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Volchkov, Valery V., and Vitaly V. Volchkov. Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group. London: Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-533-8.

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V, Volchkov Vitaly, and SpringerLink (Online service), eds. Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group. London: Springer London, 2009.

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Zhu, Jingze. Structure and symmetry of singularity models of mean curvature flow. [New York, N.Y.?]: [publisher not identified], 2022.

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Fearful symmetry. New York: Dutton, 1996.

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Talagrand, Michel. Mean field models for spin glasses: Advanced replica-symmetry and low temperature. Heidelberg: Springer, 2011.

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Talagrand, Michel. Mean field models for spin glasses: Advanced replica-symmetry and low temperature. Heidelberg: Springer, 2011.

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Stan, Lee, Zeck Mike, McLeod Bob, and Marvel Comics Group, eds. Stan Lee presents Spider-Man: Fearful symmetry--Kraven's last hunt. New York: Marvel Comics, 1989.

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Christensen, Jens Gerlach. Trends in harmonic analysis and its applications: AMS special session on harmonic analysis and its applications : March 29-30, 2014, University of Maryland, Baltimore County, Baltimore, MD. Providence, Rhode Island: American Mathematical Society, 2015.

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Volchkov, Valery V., and Vitaly V. Volchkov. Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group. Springer London, Limited, 2011.

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Cates, M. Complex fluids: the physics of emulsions. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198789352.003.0010.

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These lectures start with the mean field theory for a symmetric binary fluid mixture, addressing interfacial tension, the stress tensor, and the equations of motion (Model H). We then consider the phase separation kinetics of such a mixture: coalescence, Ostwald ripening, its prevention by trapped species, coarsening of bicontinuous states, and the role of shear flow. The third topic addressed is the stabilization of emulsions by using surfactants to reduce or even eliminate the interfacial tension between phases; the physics of bending energy, which becomes relevant in the latter case, is then presented briefly. The final topic is the creation of long-lived metastable emulsions by adsorption of colloidal particles or nanoparticles at the fluid–fluid interface; alongside spherical droplets, these methods can be used to create a range of unconventional structures with potentially interesting properties that are only now being explored.
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Book chapters on the topic "Symmetric mean"

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Ghosh, Jayanta K. "On the Proportion above Sample Mean for Symmetric Stable Laws." In Statistical Theory and Applications, 37–41. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-3990-1_4.

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Volchkov, Valery V., and Vitaly V. Volchkov. "Mean Periodic Functions on Compact Symmetric Spaces of Rank One." In Springer Monographs in Mathematics, 523–44. London: Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-533-8_16.

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Baz, Juan, Diego García-Zamora, Irene Díaz, Susana Montes, and Luis Martínez. "Flexible-Dimensional EVR-OWA as Mean Estimator for Symmetric Distributions." In Information Processing and Management of Uncertainty in Knowledge-Based Systems, 11–24. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-08971-8_2.

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Rosso, Stefano, Andrea Curtarello, Federico Basana, Luca Grigolato, Roberto Meneghello, Gianmaria Concheri, and Gianpaolo Savio. "Modeling Symmetric Minimal Surfaces by Mesh Subdivision." In Lecture Notes in Mechanical Engineering, 249–54. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70566-4_40.

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AbstractThanks to the great diffusion of additive manufacturing technologies, the interest in lattice structures is growing. Among them, minimal surfaces are characterized by zero mean curvature, allowing enhanced properties such as mechanical response and fluidynamic behavior. Recent works showed a method for geometric modeling triply periodic minimal surfaces (TPMS) based on subdivision surface. In this paper, the deviation between the subdivided TPMS and the implicit defined ones is investigated together with mechanical properties computed by numerical methods. As a result, a model of mechanical properties as a function of the TPMS thickness and relative density is proposed.
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Fourdrinier, Dominique, William E. Strawderman, and Martin T. Wells. "Estimation of a Mean Vector for Spherically Symmetric Distributions I: Known Scale." In Springer Series in Statistics, 151–77. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02185-6_5.

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Khan, Qaisar, Tahir Mahmood, Khizar Hayat, Muhammad Arif, Valentina Emilia Balas, and Oana Geman. "Application of Single-Valued Neutrosophic Power Maclaurin Symmetric Mean Operators in MADM." In Soft Computing Applications, 328–54. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-52190-5_24.

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Fourdrinier, Dominique, William E. Strawderman, and Martin T. Wells. "Estimation of a Mean Vector for Spherically Symmetric Distributions II: With a Residual." In Springer Series in Statistics, 179–213. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02185-6_6.

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Coelho, Carlos A. "The Likelihood Ratio Test for Equality of Mean Vectors with Compound Symmetric Covariance Matrices." In Computational Science and Its Applications – ICCSA 2017, 20–32. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-62404-4_2.

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Tangemann, Michael. "Mean Waiting Time Approximations for Symmetric and Asymmetric Polling Systems with Time-Limited Service." In Messung, Modellierung und Bewertung von Rechen- und Kommunikationssystemen, 143–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-78495-8_12.

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Angulo, Jesús. "Counter-Harmonic Mean of Symmetric Positive Definite Matrices: Application to Filtering Tensor-Valued Images." In Mathematics in Industry, 409–16. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-05365-3_57.

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Conference papers on the topic "Symmetric mean"

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Evangelista, David, Diogo A. Gomes, and Levon Nurbekyan. "Radially symmetric mean-field games with congestion." In 2017 IEEE 56th Annual Conference on Decision and Control (CDC). IEEE, 2017. http://dx.doi.org/10.1109/cdc.2017.8264121.

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Sanjari, Sina, and Serdar Yuksel. "Convex Symmetric Stochastic Dynamic Teams and Their Mean-Field Limit." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9029532.

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Liu, Peide, Shyi-Ming Chen, and Peng Wang. "The g-rung orthopair fuzzy power maclaurin symmetric mean operators." In 2018 Tenth International Conference on Advanced Computational Intelligence (ICACI ). IEEE, 2018. http://dx.doi.org/10.1109/icaci.2018.8377599.

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Gucuyener, Ismail Hakki, Onur Kazim Gurcay, Abdüssamed Yanik, Ahmet Ay, and Elif Alyamaç Seydibeyoglu. "Optimization of Rheological Models for Invert Emulsion Drilling Fluids using Novel Algorithms." In Middle East Oil, Gas and Geosciences Show. SPE, 2023. http://dx.doi.org/10.2118/213722-ms.

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Abstract Invert emulsion drilling fluids (IEDF) are recognized as the highest-performing fluid systems available, providing invaluable benefits in drilling operations. This study uses conventional and novel algorithms to improve the fitting ability of three and four-parameter rheological models for IEDF. Linear regression (LR), quasi-linear regression (QLR), Gold Search Section (GSS), Generalized Reduced Gradient (GRG), Trust Region (TR), and Gauss-Newton (GN) methods are employed to determine optimal rheological model parameters. The analysis utilizes an extensive field database from five different sources. In optimizing the model parameters, a symmetric mean absolute percentage error-based objective function is used, eliminating the statistical problems experienced in conventional objective functions. Average symmetric mean absolute percentage error (SMAPE) and the number of best fits (NBF) is used for selecting the most appropriate rheological model. In the performance comparison of the models, the ranking index, which is defined as the symmetric mean absolute error percentage and the arithmetic mean of the best fit number, is also used. The symmetry of the error distribution giving the balance between the overestimated and underestimated errors is predicted by the average overestimated and underestimated symmetric percentage errors.
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Hossain, Mohammad A., and Sarzina Hossain. "Numeric Investigation of an Axi-Symmetric Turbulent Jet." In ASME 2014 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/imece2014-37382.

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This work is focused on a numerical investigation of a turbulent axi-symmetric round jet in order to incorporate the knowledge of turbulence. Flow field analysis of a turbulent jet is one of the major research areas in recent years as turbulent jet dictates the interaction between fluid and other physical phenomena. Heat transfer, natural convection, frame propagation all depend on the behavior of turbulent jet. The mass and momentum transfer phenomena governs the flow field of the jet. A two dimensional pressure based Navier-stock solver is used to resolve the flow parameter of a turbulent round jet. Around One hundred twenty five thousand quadratic mesh elements are used for the simulation. A Mesh independency test has been done before resolving results. Characteristic flow parameters such as mean axial velocity, mean radial velocity distribution, turbulent kinetic energy, turbulent intensity, the turbulent dissipation rate are determined and presented. Similarity solution for mean axial velocity distribution and mean radial velocity distribution at different axial location are calculated and compared with experimental data. The result shows good agreement with experimental data.
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6

Omari, Pierpaolo, Colette De Coster, and Chiara Corsato. "Radially symmetric solutions of an anisotropic mean curvature equation modeling the corneal shape." In The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (Madrid, Spain). American Institute of Mathematical Sciences, 2015. http://dx.doi.org/10.3934/proc.2015.0297.

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7

BOUMUKI, NOBUTAKA. "ISOTROPIC IMMERSIONS OF RANK ONE SYMMETRIC SPACES INTO REAL SPACE FORMS AND MEAN CURVATURES." In Proceedings of the 7th International Workshop on Complex Structures and Vector Fields. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701763_0004.

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8

Volpe, Raffaele, Philippe Devinant, and Azeddine Kourta. "Unsteady Experimental Characterization of the Natural Wake of a Squareback Ahmed Model." In ASME 2014 4th Joint US-European Fluids Engineering Division Summer Meeting collocated with the ASME 2014 12th International Conference on Nanochannels, Microchannels, and Minichannels. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/fedsm2014-21494.

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The increasing demand for such vehicles as station wagons or minivans has focused aerodynamic research for drag reduction on squareback models of which, the one proposed by Ahmed et al. [1] is one of the most used. The presented study aims at finely characterize the natural wake of a 1:1 squareback Ahmed body with experimental measurements, in order to draw possible strategies for drag reduction. Our analysis focused both on the detection of the mean wake topology, by means of 2D PIV as well as parietal pressure measurements, and on the study of the spectral fluctuations of velocity and pressures. The experimental results exhibit a left/right bistable behavior for the wake, highly sensitive to the incoming wind yaw angle, so that, most generally, the mean aerodynamic field shows an asymmetric behavior due to the predominance of one of the two stable positions. The characterization of the mean wake by averaging the fields on the whole acquisition time can then be biased and show an asymmetrical wake. Then, as far as the symmetric average field is of interest, it is relevant to study separately each topology using conditional averaging, and then build a symmetrical field by averaging the two bistable phases. The analysis shows that the well-known symmetrical wake and the corresponding rear pressure field derive from a random rotation of the toric recirculation bubble, which can induce instantaneous pressure losses of about 25%. The bistability does not affect the spectral energy distribution. Our results show a spectral activity mostly at low frequencies. In particular, we found in measurements along the vertical symmetry plane a peak at StH = 0.07, indicating the presence of the “bubble pumping” phenomenon, whereas pressure measurements at vehicle mid-height indicate the existence of vortex shedding.
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9

Praisner, T. J., and C. R. Smith. "The Dynamics of the Horseshoe Vortex and Associated Endwall Heat Transfer: Part 2 — Time-Mean Results." In ASME Turbo Expo 2005: Power for Land, Sea, and Air. ASMEDC, 2005. http://dx.doi.org/10.1115/gt2005-69091.

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Time-mean endwall heat transfer and flow-field data in the endwall region are presented for a turbulent juncture flow formed with a symmetric bluff body. The experimental technique employed allowed the simultaneous recording of instantaneous particle image velocimetry flow field data, and thermochromic liquid-crystal-based endwall heat transfer data. The time-mean flow field on the symmetry plane is characterized by the presence of primary (horseshoe), secondary, tertiary, and corner vortices. On the symmetry plane the time-mean horseshoe vortex displays a bimodal vorticity distribution and a stable-focus streamline topology indicative of vortex stretching. Off the symmetry plane, the horseshoe vortex grows in scale, and ultimately experiences a bursting, or breakdown, upon experiencing an adverse pressure gradient. The time-mean endwall heat transfer is dominated by two bands of high heat transfer, which circumscribe the leading edge of the bluff body. The band of highest heat transfer occurs in the corner region of the juncture, reflecting a 350% increase over the impinging turbulent boundary layer. A secondary high heat-transfer band develops upstream of the primary band, reflecting a 250% heat transfer increase, and is characterized by high levels of fluctuating heat load. The mean upstream position of the horseshoe vortex is coincident with a region of relatively low heat transfer that separates the two bands of high heat transfer.
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Holtzman, Gary A., Roger W. Hill, and Kenneth S. Ball. "Laminar Natural Convection in Isosceles Triangular Enclosures Heated From Below and Symmetrically Cooled From Above." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0584.

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Abstract A numerical study of natural convection in an isosceles triangular enclosure with a heated horizontal base and cooled upper walls is presented. Nearly every previous study conducted on this subject to date has assumed that the geometric plane of symmetry is also a plane of symmetry for the flow. This problem is re-examined over aspect ratios ranging from 0.2 to 1.0 and Grashof numbers from 103 to 105. It is found that a pitchfork bifurcation occurs at a critical Grashof number for each of the aspect ratios considered, above which the symmetric solutions are unstable to finite perturbations whereas two steady mirror image solutions are stable. Results are presented detailing the occurrence of the pitchfork bifurcation in each of the aspect ratios considered and the resulting flow patterns are described. Local and mean heat transfer coefficients are presented, and discrepancies with previously published results in which a symmetric flow pattern is assumed are discussed.
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Reports on the topic "Symmetric mean"

1

Giri, N., and B. K. Sinha. Robust Tests of Mean Vector in Symmetrical Multivariate Distributions. Fort Belvoir, VA: Defense Technical Information Center, January 1985. http://dx.doi.org/10.21236/ada153116.

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2

Pool, Jennifer P., and Christian Volpe Martincus. Can Online Platforms Promote Women-Led Exporting Firms? Inter-American Development Bank, August 2023. http://dx.doi.org/10.18235/0005061.

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How can policymakers promote women-led exporting firms? In this paper, we study the role of online business platforms to reduce informational barriers to exporting for women entrepreneurs. We hypothesize that, if the costs associated with accessing digital platforms are more symmetric across gender than traditional trade costs, digital trade platforms can play an important role in making trade more gender equal. To assess this hypothesis, we combine information on firms' participation in ConnectAmericas , a free and purely informational online platform, and detailed firm level export data of a developing country over a long period. We find that participation in this platform is associated with a significantly larger increase in exports for women entrepreneurs than for men managed firms in otherwise identical products and destinations. Given existing evidence on the role of women managed businesses in reducing gender earnings inequality, these results suggest that policies which encourage women participation in online environments to reduce the informational barriers associated with operating in foreign markets have the capacity to promote gender equality more broadly.
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3

Lu, Qi, Haili Wang, Weizheng Wang, Yu Gao, Xuefeng Li, Ying Wang, Weiwan Yang, and Hongfeng Wang. Efficacy of Electroacupuncture in Painful Diabetic Peripheral Neuropathy: A protocol of systematic review and meta-analysis. INPLASY - International Platform of Registered Systematic Review and Meta-analysis Protocols, November 2022. http://dx.doi.org/10.37766/inplasy2022.11.0040.

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Review question / Objective: The aim of this study is to perform a meta-analysis to evaluate the effectiveness of electroacupuncture in the treatment of painful diabetic peripheral neuropathy (PDNP).And to provide data support for electroacupuncture as an effective means to treat pain of nervous system diseases. Condition being studied: Diabetes mellitus (DM) affects more than six hundred million population worldwide till 2045. The most common form is chronic, distal, and symmetric sensorimotor polyneuropathy, while other uncommon forms include asymmetric or focal neuropathy, such as diabetic muscle atrophy, trunk radiculopathy, and compression palsy. About 11.4% and 40.5% of patients have severe and moderate pain respectively. Currently, symptomatic treatment of PDPN is based on the application of medications that target the symptoms of PDPN. However, the clinical efficacy of PDPN patients varies greatly from individual to individual.Traditional Chinese medicine electroacupuncture have shown its unique advantages in the treatment of PDPN. Although its mechanism is complex and unclear, it can still be used in the clinical treatment of PDPN for a long time. We therefore present a systematic review of the benefits of electroacupuncture in improving PDPN by including the as many as possible randomized controlled trials.
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