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Journal articles on the topic 'Symmetric mean'

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Author: Grafiati

Published: 8 September 2023

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1

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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2

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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3

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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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

Balkanova, Olga, and Dmitry Frolenkov. "The mean value of symmetric square L-functions." Algebra & Number Theory 12, no. 1 (March 13, 2018): 35–59. http://dx.doi.org/10.2140/ant.2018.12.35.

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12

Lee, Nany. "Constant mean curvature hypersurfaces in noncompact symmetric spaces." Tohoku Mathematical Journal 47, no. 4 (1995): 499–508. http://dx.doi.org/10.2748/tmj/1178225457.

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13

GuangHan, LI, WU ChuanXi, and GUO FangCheng. "Mean curvature type flow in rotationally symmetric spaces." SCIENTIA SINICA Mathematica 47, no. 2 (July 4, 2016): 313–32. http://dx.doi.org/10.1360/n012015-00328.

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14

Staszczak, A. "Nuclear mean field from chirally symmetric effective theory." Physics of Atomic Nuclei 66, no. 8 (August 2003): 1574–77. http://dx.doi.org/10.1134/1.1601768.

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15

Volchkov, V. V. "Theorems on ball mean values in symmetric spaces." Sbornik: Mathematics 192, no. 9 (October 31, 2001): 1275–96. http://dx.doi.org/10.1070/sm2001v192n09abeh000593.

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16

Engliš, Miroslav. "A mean value theorem on bounded symmetric domains." Proceedings of the American Mathematical Society 127, no. 11 (May 4, 1999): 3259–68. http://dx.doi.org/10.1090/s0002-9939-99-05052-2.

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17

Palmer, Bennett, and Wenxiang Zhu. "Axially symmetric volume constrained anisotropic mean curvature flow." Calculus of Variations and Partial Differential Equations 50, no. 3-4 (July 7, 2013): 639–63. http://dx.doi.org/10.1007/s00526-013-0650-4.

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18

Hynd, Ryan, Sung-ho Park, and John McCuan. "Symmetric surfaces of constant mean curvature in 𝕊3." Pacific Journal of Mathematics 241, no. 1 (May 1, 2009): 63–115. http://dx.doi.org/10.2140/pjm.2009.241.63.

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19

Morawiec, A. "A note on mean orientation." Journal of Applied Crystallography 31, no. 5 (October 1, 1998): 818–19. http://dx.doi.org/10.1107/s0021889898003914.

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The procedure of calculating the mean orientation considered by Humbertet al.[J. Appl. Cryst.(1996),29, 662–666] is reformulated in terms of quaternions of unit magnitude. The problem is reduced to the calculation of an eigenvector of a certain symmetric 4 × 4 matrix.

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20

Dong, Zheng, and Yushui Geng. "Some Trapezoid Intuitionistic Fuzzy Linguistic Maclaurin Symmetric Mean Operators and Their Application to Multiple-Attribute Decision Making." Symmetry 13, no. 10 (September 24, 2021): 1778. http://dx.doi.org/10.3390/sym13101778.

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In order to solve multiple-attribute group decision-making (MAGDM) problems under a trapezoid intuitionistic fuzzy linguistic (TIFL) environment and the relationships between multiple input parameters needed, in this paper, we extend the Maclaurin symmetric mean (MSM) operators to TIFL numbers (TIFLNs). Some new aggregation operators are proposed, including the trapezoid intuitionistic fuzzy linguistic Maclaurin symmetric mean (TIFLMSM) operator, trapezoid intuitionistic fuzzy linguistic generalized Maclaurin symmetric mean (TIFLGMSM) operator, trapezoid intuitionistic fuzzy linguistic weighted Maclaurin symmetric mean (TIFLWMSM) operator and trapezoid intuitionistic fuzzy linguistic weighted generalized Maclaurin symmetric mean (TIFLWGMSM) operator. Next, based on the TIFLWMSM and TIFLWGMSM operators, two methods are presented to deal with MAGDM problems. Finally, there is a numerical example to verify the effectiveness and feasibility of the proposed approaches.

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21

Colyer, G. J., and G. K. Vallis. "Zonal-Mean Atmospheric Dynamics of Slowly Rotating Terrestrial Planets." Journal of the Atmospheric Sciences 76, no. 5 (May 1, 2019): 1397–418. http://dx.doi.org/10.1175/jas-d-18-0180.1.

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Abstract The zonal-mean atmospheric flow of an idealized terrestrial planet is investigated using both numerical simulations and zonally symmetric theories, focusing largely on the limit of low planetary rotation rate. Two versions of a zonally symmetric theory are considered, the standard Held–Hou model, which features a discontinuous zonal wind at the edge of the Hadley cell, and a variant with continuous zonal wind but discontinuous temperature. The two models have different scalings for the boundary latitude and zonal wind. Numerical simulations are found to have smoother temperature profiles than either model, with no temperature or velocity discontinuities even in zonally symmetric simulations. Continuity is achieved in part by the presence of an overturning circulation poleward of the point of maximum zonal wind, which allows the zonal velocity profile to be smoother than the original theory without the temperature discontinuities of the variant theory. Zonally symmetric simulations generally fall between the two sets of theoretical scalings, and have a faster polar zonal flow than either set. Three-dimensional simulations, which allow for the eddy motion that is missing from both models, fall closer to the scalings of the variant model. At very low rotation rates the maximum zonal wind falls with falling planetary rotation rate, and is zero at zero rotation. The low-rotation limit of the overturning circulation, however, is strong enough to drive the temperature profile close to a state of nearly constant potential temperature.

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22

Zhu, Dong-Mei, Jia-Wen Gu, Feng-Hui Yu, Tak-Kuen Siu, and Wai-Ki Ching. "Optimal pairs trading with dynamic mean-variance objective." Mathematical Methods of Operations Research 94, no. 1 (August 2021): 145–68. http://dx.doi.org/10.1007/s00186-021-00751-z.

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AbstractPairs trading is a typical example of a convergence trading strategy. Investors buy relatively under-priced assets simultaneously, and sell relatively over-priced assets to exploit temporary mispricing. This study examines optimal pairs trading strategies under symmetric and non-symmetric trading constraints. Under the assumption that the price spread of a pair of correlated securities follows a mean-reverting Ornstein-Uhlenbeck(OU) process, analytical trading strategies are obtained under a mean-variance(MV) framework. Model estimation and empirical studies on trading strategies have been conducted using data on pairs of stocks and futures traded on China’s securities market. These results indicate that pairs trading strategies have fairly good performance.

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23

Wang, Liping, and Chunyi Zhao. "Infinitely Many Solutions for the Prescribed Boundary Mean Curvature Problem in 𝔹N." Canadian Journal of Mathematics 65, no. 4 (August 1, 2013): 927–60. http://dx.doi.org/10.4153/cjm-2012-054-2.

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AbstractWe consider the prescribed boundary mean curvature problem in 𝔹N with the Euclidean metric where ã(x) is positive and rotationally symmetric on We show that if K∽(x) has a local maximum point, then this problemhas infinitely many positive solutions that are not rotationally symmetric on 𝕊N−1.

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24

Muratov, M., Yu Pashkova, and B. Z. Rubshtein. "Mean Ergodic Theorems in Symmetric Spaces of Measurable Functions." Lobachevskii Journal of Mathematics 42, no. 5 (May 2021): 949–66. http://dx.doi.org/10.1134/s1995080221050103.

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25

Pati, Vishwambhar, Mehrdad Shahshahani, and Alladi Sitaram. "The spherical mean value operator for compact symmetric spaces." Pacific Journal of Mathematics 168, no. 2 (April 1, 1995): 335–44. http://dx.doi.org/10.2140/pjm.1995.168.335.

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26

Wimmer, Harald K. "On a weighted mean inequality for nonnegative symmetric matrices." Linear and Multilinear Algebra 17, no. 1 (January 1985): 25–27. http://dx.doi.org/10.1080/03081088508817639.

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27

Bini, Dario A., and Bruno Iannazzo. "Computing the Karcher mean of symmetric positive definite matrices." Linear Algebra and its Applications 438, no. 4 (February 2013): 1700–1710. http://dx.doi.org/10.1016/j.laa.2011.08.052.

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28

Gribova, N. V., V. N. Ryzhov, T. I. Schelkacheva, and E. E. Tareyeva. "Reflection symmetry in mean-field replica-symmetric spin glasses." Physics Letters A 315, no. 6 (September 2003): 467–73. http://dx.doi.org/10.1016/s0375-9601(03)01059-4.

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29

Li, Fachao, Jiqing Qiu, and Jianren Zhai. "The problem of completeness for -mean symmetric difference metric." Fuzzy Sets and Systems 116, no. 3 (December 2000): 459–70. http://dx.doi.org/10.1016/s0165-0114(98)00331-5.

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30

Cesaroni, Annalisa, and Matteo Novaga. "Symmetric Self-Shrinkers for the Fractional Mean Curvature Flow." Journal of Geometric Analysis 30, no. 4 (May 28, 2019): 3698–715. http://dx.doi.org/10.1007/s12220-019-00214-2.

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31

Christensen, Jens, Fulton Gonzalez, and Tomoyuki Kakehi. "Surjectivity of mean value operators on noncompact symmetric spaces." Journal of Functional Analysis 272, no. 9 (May 2017): 3610–46. http://dx.doi.org/10.1016/j.jfa.2016.12.022.

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32

Athanassenas, M. "Volume-preserving mean curvature flow of rotationally symmetric surfaces." Commentarii Mathematici Helvetici 72, no. 1 (May 1997): 52–66. http://dx.doi.org/10.1007/pl00000366.

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33

Lekner, John. "Axially symmetric charge distributions and the arithmetic–geometric mean." Journal of Electrostatics 67, no. 6 (November 2009): 880–85. http://dx.doi.org/10.1016/j.elstat.2009.07.007.

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34

Athanassenas, Maria, and Sevvandi Kandanaarachchi. "Convergence of axially symmetric volume-preserving mean curvature flow." Pacific Journal of Mathematics 259, no. 1 (August 31, 2012): 41–54. http://dx.doi.org/10.2140/pjm.2012.259.41.

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35

Cumova, Denisa, and David Nawrocki. "A symmetric LPM model for heuristic mean–semivariance analysis." Journal of Economics and Business 63, no. 3 (May 2011): 217–36. http://dx.doi.org/10.1016/j.jeconbus.2011.01.004.

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36

Matioc, Bogdan-Vasile. "Boundary value problems for rotationally symmetric mean curvature flows." Archiv der Mathematik 89, no. 4 (September 18, 2007): 365–72. http://dx.doi.org/10.1007/s00013-007-2141-3.

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37

Iwasaki, Katsunori. "Regular simplices, symmetric polynomials and the mean value property." Journal d'Analyse Mathématique 72, no. 1 (December 1997): 279–98. http://dx.doi.org/10.1007/bf02843162.

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38

Kath, Ines. "Semisimplicity of indefinite extrinsic symmetric spaces and mean curvature." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 82, no. 1 (April 2012): 121–27. http://dx.doi.org/10.1007/s12188-012-0067-6.

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39

Gual–Arnau, X., and R. Masó. "On the Mean Exit Time for Compact Symmetric Spaces." Acta Mathematica Sinica, English Series 21, no. 3 (March 20, 2005): 555–62. http://dx.doi.org/10.1007/s10114-004-0479-z.

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40

Kum, Sangho, and Sangwoon Yun. "Incremental Gradient Method for Karcher Mean on Symmetric Cones." Journal of Optimization Theory and Applications 172, no. 1 (August 29, 2016): 141–55. http://dx.doi.org/10.1007/s10957-016-1000-4.

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41

Benhida, Chafiq, Muneo Chō, Eungil Ko, and Ji Eun Lee. "On the generalized mean transforms of complex symmetric operators." Banach Journal of Mathematical Analysis 14, no. 3 (January 1, 2020): 842–55. http://dx.doi.org/10.1007/s43037-019-00041-1.

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42

Ding, Qi. "The inverse mean curvature flow in rotationally symmetric spaces." Chinese Annals of Mathematics, Series B 32, no. 1 (December 28, 2010): 27–44. http://dx.doi.org/10.1007/s11401-010-0626-z.

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43

Athanassenas, Maria, and Sevvandi Kandanaarachchi. "Singularities of axially symmetric volume preserving mean curvature flow." Communications in Analysis and Geometry 30, no. 8 (2022): 1683–711. http://dx.doi.org/10.4310/cag.2022.v30.n8.a1.

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44

BARRIOS, S. CRUZ, and M. C. NEMES. "ANATOMY OF RELATIVISTIC MEAN-FIELD APPROXIMATIONS." Modern Physics Letters A 07, no. 21 (July 10, 1992): 1915–21. http://dx.doi.org/10.1142/s0217732392001622.

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In the present work we have set up a scheme to treat field theoretical Lagrangians in the same bases of the well known non-relativistic many-body techniques. We show here that fermions and bosons can be treated quantum mechanically in a symmetric way and obtain results for the mean field approximation.

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45

Bucur. "Fixed Points for Multivalued Weighted Mean Contractions in a Symmetric Generalized Metric Space." Symmetry 12, no. 1 (January 9, 2020): 134. http://dx.doi.org/10.3390/sym12010134.

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This paper defines two new concepts: the concept of multivalued left-weighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space and the concept of multivalued right-weighted mean contractions in the generalized sense of Nadler in a symmetric generalized metric space, and demonstrates fixed-point theorems for them. For these, we demonstrated two fixed-point existence theorems and their corollaries, by using the properties of the regular-global-inf function and the properties of symmetric generalized metric spaces, respectively. Moreover, we demonstrated that the theorems can be applied in particular cases of inclusion systems. This article contains not only an example of application in science, but also an example of application in real life, in biology, in order to find an equilibrium solution to a prey–predator-type problem. The results of this paper extend theorems for multivalued left-weighted mean contractions in the generalized sense of Nadler, demonstrating that some of the results given by Rus (2008), Mureșan (2002), and Nadler (1969) in metric spaces can also be proved in symmetric generalized metric spaces.

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46

Kim, Sejong, Un Cig Ji, and Sangho Kum. "An Approach to the Log-Euclidean Mean via the Karcher Mean on Symmetric Cones." Taiwanese Journal of Mathematics 20, no. 1 (February 2016): 191–203. http://dx.doi.org/10.11650/tjm.20.2016.5559.

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47

Ashraf, Ansa, Kifayat Ullah, Darko Božanić, Amir Hussain, Haolun Wang, and Adis Puška. "An Approach for the Assessment of Multi-National Companies Using a Multi-Attribute Decision Making Process Based on Interval Valued Spherical Fuzzy Maclaurin Symmetric Mean Operators." Axioms 12, no. 1 (December 21, 2022): 4. http://dx.doi.org/10.3390/axioms12010004.

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Many fuzzy concepts have been researched and described with uncertain information. Collecting data under uncertain information is a difficult task, especially when there is a difference between the opinions of experts. To deal with such situations, different types of operators have been introduced. This paper aims to develop the Maclaurin symmetric mean (MSM) operator for the information in the shape of the interval-valued spherical fuzzy set (IVSFS). In this article, a family of aggregation operators (AOs) is proposed which consists of interval valued spherical fuzzy Maclaurin symmetric mean operator (IVSFMSM), interval valued spherical fuzzy weighted Maclaurin symmetric mean (IVSFWMSM), interval valued spherical fuzzy dual Maclaurin symmetric mean (IVSFDMSM), and interval valued spherical fuzzy dual weighted Maclaurin symmetric mean (IVSFDWMSM) operators. In this paper, we studied an elucidative example to discuss the evaluation of multi-national companies for the application of the proposed operator. Then the obtained results from the proposed operators are compared. The results obtained are graphed and tabulated for a better understanding.

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48

Bourni, Theodora, and Mat Langford. "Type-II singularities of two-convex immersed mean curvature flow." Geometric Flows 2, no. 1 (October 1, 2016): 1–17. http://dx.doi.org/10.1515/geofl-2016-0001.

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AbstractWe show that any strictly mean convex translator of dimension n ≥ 3 which admits a cylindrical estimate and a corresponding gradient estimate is rotationally symmetric. As a consequence, we deduce that any translating solution of the mean curvature flow which arises as a blow-up limit of a two-convex mean curvature flow of compact immersed hypersurfaces of dimension n ≥ 3 is rotationally symmetric. The proof is rather robust, and applies to a more general class of translator equations. As a particular application, we prove an analogous result for a class of flows of embedded hypersurfaces which includes the flow of twoconvex hypersurfaces by the two-harmonic mean curvature.

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49

Jazayeri, S. M., and A. R. Sohrabi. "Locating Cantori for Symmetric Tokamap and Symmetric Ergodic Magnetic Limiter Map Using Mean-Energy Error Criterion." Brazilian Journal of Physics 44, no. 2-3 (May 7, 2014): 247–54. http://dx.doi.org/10.1007/s13538-014-0210-1.

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50

Feng, Min, Peide Liu, and Yushui Geng. "A Method of Multiple Attribute Group Decision Making Based on 2-Tuple Linguistic Dependent Maclaurin Symmetric Mean Operators." Symmetry 11, no. 1 (January 1, 2019): 31. http://dx.doi.org/10.3390/sym11010031.

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Aiming at multiple attribute group decision making (MAGDM) problems, especially the attribute values of 2-tuple linguistic numbers and the interrelationships between each attribute needing to be considered, this paper proposes a new method of analysis. Firstly, we developed a few new aggregation operators, like the 2-tuple linguistic dependent weighted Maclaurin symmetric mean (2TLDWMSM) operator, the 2-tuple linguistic dependent weighted generalized Maclaurin symmetric mean (2TLDWGMSM) operator, and the 2-tuple linguistic dependent weighted geometric Maclaurin symmetric mean (2TLDWGeoMSM) operator. In the above operators, Maclaurin symmetric mean (MSM) operators can take the relationships between each attribute into account and dependent operators can mitigate the unfair parameters’ impact on the overall outcome, in which those ‘‘incorrect’’ and ‘‘prejudiced’’ parameters are distributed with low weights. Next, a method used by the 2TLDWMSM, 2TLDWGMSM, and 2TLDWGeoMSM operators for MAGDM is introduced. Finally, there is an explanative example to confirm the proposed approach and explain its availability and usefulness.

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