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Relevant bibliographies by topics / Geometric Mean

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Academic literature on the topic 'Geometric Mean'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Geometric Mean"

1

Lim, Yongdo. "The inverse mean problem of geometric mean and contraharmonic means." Linear Algebra and its Applications 408 (October 2005): 221–29. http://dx.doi.org/10.1016/j.laa.2005.06.013.

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Zhang, Yan, Yu-Ming Chu, and Yun-Liang Jiang. "Sharp Geometric Mean Bounds for Neuman Means." Abstract and Applied Analysis 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/949815.

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We find the best possible constantsα1,α2,β1,β2∈[0,1/2]andα3,α4,β3,β4∈[1/2,1]such that the double inequalitiesG(α1a+(1-α1)b,α1b+(1-α1)a)<NAG(a,b)<G(β1a+(1-β1)b,β1b+(1-β1)a),G(α2a+(1-α2)b,α2b+(1-α2)a)<NGA(a,b)<G(β2a+(1-β2)b,β2b+(1-β2)a),Q(α3a+(1-α3)b,α3b+(1-α3)a)<NQA(a,b)<Q(β3a+(1-β3)b,β3b+(1-β3)a),Q(α4a+(1-α4)b,α4b+(1-α4)a)<NAQ(a,b)<Q(β4a+(1-β4)b,β4b+(1-β4)a)hold for alla,b>0witha≠b, whereG,A, andQare, respectively, the geometric, arithmetic, and quadratic means andNAG,NGA,NQA, andNAQare the Neuman means.

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Robitzsch, Alexander. "Extensions to Mean–Geometric Mean Linking." Mathematics 13, no. 1 (2024): 35. https://doi.org/10.3390/math13010035.

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Mean-geometric mean (MGM) linking is a widely used method for linking two groups within the two-parameter logistic (2PL) item response model. However, the presence of differential item functioning (DIF) can lead to biased parameter estimates using the traditional MGM method. To address this, alternative linking methods based on robust loss functions have been proposed. In this article, the conventional L2 loss function is compared with the L0.5 and L0 loss functions in MGM linking. Our results suggest that robust loss functions are preferable when dealing with outlying DIF effects, with the L0

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Qian, Wei-Mao, and Bo-Yong Long. "Sharp Bounds by the Generalized Logarithmic Mean for the Geometric Weighted Mean of the Geometric and Harmonic Means." Journal of Applied Mathematics 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/480689.

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Maynard, Philip. "89.46 Geometric-mean sequences." Mathematical Gazette 89, no. 515 (2005): 270–75. http://dx.doi.org/10.1017/s0025557200177812.

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Kim, Sejong, Hosoo Lee, and Yongdo Lim. "Geometric mean block matrices." Linear Algebra and its Applications 575 (August 2019): 299–313. http://dx.doi.org/10.1016/j.laa.2019.04.008.

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Jiang, Yi, William W. Hager, and Jian Li. "The geometric mean decomposition." Linear Algebra and its Applications 396 (February 2005): 373–84. http://dx.doi.org/10.1016/j.laa.2004.09.018.

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Somasundaram, S., S. S. Sandhya, and S. P. Viji. "On geometric mean graphs." International Mathematical Forum 10 (2015): 115–25. http://dx.doi.org/10.12988/imf.2015.412198.

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Ralha, Rui. "The geometric mean algorithm." Applied Mathematics and Computation 219, no. 4 (2012): 1607–15. http://dx.doi.org/10.1016/j.amc.2012.08.002.

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Li, Deqing, Wenyi Zeng, and Junhong Li. "Geometric Bonferroni Mean Operators." International Journal of Intelligent Systems 31, no. 12 (2016): 1181–97. http://dx.doi.org/10.1002/int.21822.

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Dissertations / Theses on the topic "Geometric Mean"

1

Cheung, Leung-Fu. "Geometric properties of stable noncompact constant mean curvature surfaces." Bonn : [s.n.], 1991. http://catalog.hathitrust.org/api/volumes/oclc/26531351.html.

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Nassyrova, Maria. "Weighted inequalities involving Hardy-type and limiting geometric mean operators /." Luleå, 2002. http://epubl.luth.se/1402-1544/2002/03/index.html.

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Fasi, Massimiliano. "Weighted geometric mean of large-scale matrices: numerical analysis and algorithms." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2015. http://amslaurea.unibo.it/8274/.

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Computing the weighted geometric mean of large sparse matrices is an operation that tends to become rapidly intractable, when the size of the matrices involved grows. However, if we are not interested in the computation of the matrix function itself, but just in that of its product times a vector, the problem turns simpler and there is a chance to solve it even when the matrix mean would actually be impossible to compute. Our interest is motivated by the fact that this calculation has some practical applications, related to the preconditioning of some operators arising in domain decomposition

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Mantegazza, Carlo. "Smooth geometric evolutions of hypersurfaces and singular approximation of mean curvature flow." Doctoral thesis, Scuola Normale Superiore, 2014. http://hdl.handle.net/11384/85686.

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Chow, Rudolf Wing Tat. "The arithmetic-geometric mean and periods of curves of Genus 1 and 2." Thesis, University of Sheffield, 2018. http://etheses.whiterose.ac.uk/20887/.

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Dixon, Walter L. "The Geometric Mean as a Generator of Truth-Value in Heuristic Expert Systems: An Improvement over the Fuzzy Weighted Arithmetic Mean." NSUWorks, 2002. http://nsuworks.nova.edu/gscis_etd/489.

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Many earlier expert systems that were modeled after MYCIN, the first expert system, employed truth-value factors for their rule antecedents (premises) and consequents (conclusions). These crisp truth-value factors were usually called certainty factors and attempted to provide a measure of confidence and computational capability to the analysis of rule uncertainty (Shortliffe, 1977; Kandel, 1994). However, in the literature criticism has been often expressed concerning the lack of precision a crisp truth/certainty factor value conveys (Zadeh, 1983; Turban, 1993). Zadeh (1973) and Xingui (1988)

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Dietrich, Felix [Verfasser], and Gerhard [Akademischer Betreuer] Huisken. "Geometric necks in mean curvature flow of 2-convex hypersurfaces / Felix Dietrich ; Betreuer: Gerhard Huisken." Tübingen : Universitätsbibliothek Tübingen, 2020. http://d-nb.info/1212849736/34.

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Hernandez, Marcel Luis. "Optimisation models of courtship and reproduction." Thesis, University of Bristol, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.297710.

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Wells-Day, Benjamin Michael. "Structure of singular sets local to cylindrical singularities for stationary harmonic maps and mean curvature flows." Thesis, University of Cambridge, 2019. https://www.repository.cam.ac.uk/handle/1810/290409.

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In this paper we prove structure results for the singular sets of stationary harmonic maps and mean curvature flows local to particular singularities. The original work is contained in Chapter 5 and Chapter 8. Chapters 1-5 are concerned with energy minimising maps and stationary harmonic maps. Chapters 6-8 are concerned with mean curvature flows and Brakke flows. In the case of stationary harmonic maps we consider a singularity at which the spine dimension is maximal, and such that the weak tangent map is homotopically non-trivial, and has minimal density amongst singularities of maximal spine

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GUIMARAES, LEANDRO SOUSA DUQUE. "COMPARISON BETWEEN THE GEOMETRIC BROWNIANO MOVEMENT AND PROCESS OF MEAN REVERSION WITH JUMPS FOR VALUATION OF EXPANSION OPTION FOR OIL FIELDS." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2002. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=2689@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Esta dissertação procura analisar através de um estudo de caso, as alternativas de desenvolvimento de um campo de petróleo já descoberto, mas ainda não explorado, utilizando a Teoria das Opções Reais. A partir deste estudo, será possível avaliar uma alternativa de desenvolvimento da produção de dois poços de petróleo, que serão explorados no futuro, dependendo das condições de mercado e das informações técnicas geradas pela produção inicial do campo. A dissertação tem como principal objetivo comparar os resultados das incer

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Books on the topic "Geometric Mean"

1

Ilmanen, Tom. Elliptic regularization and partial regularity for motion by mean curvature. American Mathematical Society, 1994.

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Giuseppe, Buttazzo, and Visintin A, eds. Motion by mean curvature and related topics: Proceedings of the international conference held at Trento, July 20-24, 1992. W. de Gruyter, 1994.

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author, Tian Gang 1958, ed. The geometrization conjecture. American Mathematical Society, 2014.

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Rectanus, Cheryl. Math by all means: Geometry grade 3. Math Solutions Publications, 1994.

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Wentworth, Richard A., Duong H. Phong, Paul M. N. Feehan, Jian Song, and Ben Weinkove. Analysis, complex geometry, and mathematical physics: In honor of Duong H. Phong : May 7-11, 2013, Columbia University, New York, New York. American Mathematical Society, 2015.

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Rectanus, Cheryl. Math by all means: Geometry, grade 3. Math Solutions Publications, 1994.

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Rectanus, Cheryl. Math by all means: Geometry, grade 3. Math Solutions Publications, 1994.

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Rectanus, Cheryl. Math by all means: Geometry grades 3-4. Math Solutions Publications, 1994.

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Jaco, William H., Hyam Rubinstein, Craig David Hodgson, Martin Scharlemann, and Stephan Tillmann. Geometry and topology down under: A conference in honour of Hyam Rubinstein, July 11-22, 2011, The University of Melbourne, Parkville, Australia. American Mathematical Society, 2013.

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Galerie Xavier Hufkens (Brussels, Belgium) and Moore Mary 1946 interviewer, eds. Antony Gormley: According to a given mean. Xavier Hufkens, 2013.

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Book chapters on the topic "Geometric Mean"

1

Stević, Stevan. "Geometric Mean." In International Encyclopedia of Statistical Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-04898-2_644.

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Stević, Stevan. "Geometric Mean." In International Encyclopedia of Statistical Science. Springer Berlin Heidelberg, 2025. https://doi.org/10.1007/978-3-662-69359-9_256.

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Olson, David L. "Geometric Mean Technique." In Decision Aids for Selection Problems. Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-3982-6_6.

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4

Poloni, Federico. "An effective matrix geometric mean." In Algorithms for Quadratic Matrix and Vector Equations. Scuola Normale Superiore, 2011. http://dx.doi.org/10.1007/978-88-7642-384-0_11.

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Mantegazza, Carlo. "Evolution of Geometric Quantities." In Lecture Notes on Mean Curvature Flow. Springer Basel, 2011. http://dx.doi.org/10.1007/978-3-0348-0145-4_2.

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Gelfand, Israel M., and Alexander Shen. "The geometric mean does not exceed the arithmetic mean." In Algebra. Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-1-4612-0335-3_67.

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7

Cox, David A. "The Arithmetic-Geometric Mean of Gauss." In Pi: A Source Book. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4757-2736-4_55.

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Cox, David A. "The Arithmetic-Geometric Mean of Gauss." In Pi: A Source Book. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4757-3240-5_55.

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Cox, David A. "The Arithmetic-Geometric Mean of Gauss." In Pi: A Source Book. Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4217-6_55.

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Giga, Yoshikazu, and Giovanni Pisante. "On representation of boundary integrals involving the mean curvature for mean-convex domains." In Geometric Partial Differential Equations proceedings. Scuola Normale Superiore, 2013. http://dx.doi.org/10.1007/978-88-7642-473-1_9.

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Conference papers on the topic "Geometric Mean"

1

Liu, Xingtu. "A Note on Arithmetic–Geometric Mean Inequality for Well-Conditioned Matrices." In 2025 59th Annual Conference on Information Sciences and Systems (CISS). IEEE, 2025. https://doi.org/10.1109/ciss64860.2025.10944733.

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Ramadasan, Swaetha, S. Saranya, K. Vijayakumar, S. Prabha, Pushan Kumar Dutta, and Sushil Kumar Singh. "Deep-Learning and Geometric Mean Optimizer Combined Scheme for Brain MRI Classification." In 2024 IEEE 12th Region 10 Humanitarian Technology Conference (R10-HTC). IEEE, 2024. https://doi.org/10.1109/r10-htc59322.2024.10778777.

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Singh, Jitendra, Suraj Srivastava, and Aditya K. Jagannatham. "Maximizing Geometric Mean Rate in RIS-Assisted Integrated Sensing and Communication Systems." In 2025 IEEE Wireless Communications and Networking Conference (WCNC). IEEE, 2025. https://doi.org/10.1109/wcnc61545.2025.10978408.

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Hendrastuty, Nirwana, M. Ghufroni Ar'nars, Setiawansyah, Mesran, Turwan Aldi Putra, and Muhammad Waqas Arshad. "Decision Support System in Teacher Pedagogy Assessment Using MAIRCA with Geometric Mean Weighting." In 2024 International Conference on Informatics, Multimedia, Cyber and Information System (ICIMCIS). IEEE, 2024. https://doi.org/10.1109/icimcis63449.2024.10957630.

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Sanskar, Prajjwal, Tejal R, Vijaya Kumar Dunna, Soumya Ranjan Sahoo, and Arijit Sen. "Consensus in Heterogeneous Higher-Order Agents Driven by Geometric Mean under Weight-Unbalanced Digraph." In 2024 Tenth Indian Control Conference (ICC). IEEE, 2024. https://doi.org/10.1109/icc64753.2024.10883671.

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Khalil, A. Elsawy, Abdellatif Mostafa Abdellatif, Abdelrazek Akram Abdelrazek, Abdelgawad G. Abu-Almajd, Seif Selim, and Ahmed M. Zobaa. "Enhancing Microgrid Energy Management Incorporating Renewable Energy and Energy Storage Systems via Geometric Mean Optimizer." In 2024 25th International Middle East Power System Conference (MEPCON). IEEE, 2024. https://doi.org/10.1109/mepcon63025.2024.10850475.

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Mahapatra, Mou Das, Shibendu Mahata, and Biman Kumar Saha Roy. "Improved tuning of fractional-order PID controller for an AVR system using geometric mean optimizer." In 2024 IEEE Pune Section International Conference (PuneCon). IEEE, 2024. https://doi.org/10.1109/punecon63413.2024.10895059.

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Ohya, Takao, and Eizo Kinoshita. "The Geometric Mean Concurrent Convergence Method." In The International Symposium on the Analytic Hierarchy Process. Creative Decisions Foundation, 2009. http://dx.doi.org/10.13033/isahp.y2009.086.

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Wei, Gui-Wu, and Wen-De Yi. "Uncertain Linguistic Hybrid Geometric Mean Operator." In Fourth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD 2007). IEEE, 2007. http://dx.doi.org/10.1109/fskd.2007.597.

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Wei, Guiwu, and Rui Lin. "Dynamic Uncertain Linguistic Weighted Geometric Mean Operator." In 2008 Fifth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). IEEE, 2008. http://dx.doi.org/10.1109/fskd.2008.579.

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Reports on the topic "Geometric Mean"

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Schattschneider, Doris. Proof without Words: The Arithmetic Mean-Geometric Mean Inequality. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/capsules003370.

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Schattschneider, Doris. Proof without Words: The Arithmetic Mean-Geometric Mean Inequality. The MAA Mathematical Sciences Digital Library, 2010. http://dx.doi.org/10.4169/capsules003372.

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Saltus, Christina, Todd Swannack, and S. McKay. Geospatial Suitability Indices Toolbox (GSI Toolbox). Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41881.

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Habitat suitability models are widely adopted in ecosystem management and restoration, where these index models are used to assess environmental impacts and benefits based on the quantity and quality of a given habitat. Many spatially distributed ecological processes require application of suitability models within a geographic information system (GIS). Here, we present a geospatial toolbox for assessing habitat suitability. The Geospatial Suitability Indices (GSI) toolbox was developed in ArcGIS Pro 2.7 using the Python® 3.7 programming language and is available for use on the local desktop i

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Saltus, Christina, S. McKay, and Todd Swannack. Geospatial suitability indices (GSI) toolbox : user's guide. Engineer Research and Development Center (U.S.), 2022. http://dx.doi.org/10.21079/11681/45128.

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Habitat suitability models have been widely adopted in ecosystem management and restoration to assess environmental impacts and benefits according to the quantity and quality of a given habitat. Many spatially distributed ecological processes require application of suitability models within a geographic information system (GIS). This technical report presents a geospatial toolbox for assessing habitat suitability. The geospatial suitability indices (GSI) toolbox was developed in ArcGIS Pro 2.7 using the Python 3.7 programming language and is available for use on the local desktop in the Window

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5

Quintino, Aurea. Constant Mean Curvature Surfaces at the Intersection of Integrable Geometries. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-305-319.

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Rashevska, Natalya V., Serhiy O. Semerikov, Natalya O. Zinonos, Viktoriia V. Tkachuk, and Mariya P. Shyshkina. Using augmented reality tools in the teaching of two-dimensional plane geometry. [б. в.], 2020. http://dx.doi.org/10.31812/123456789/4116.

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One of the successful components of quality assimilation of educational material and its further use in the learning process is visualization of material in secondary education institutions. Visualizations need the subjects of the school course, which are the most difficult to understand and essentially do not have at the beginning of the study of widespread practical application, mostly mathematical objects. That is why this study aimed to analyze mobile tools that can be used to visualize teaching geometry. The object of the study is the process of teaching geometry in the middle classes of

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Puthanakit, Thanyawee, Kiat Ruxrungtham, Chitsanu Pancharoen, Jintanat Ananworanich, Torsak Burunupradah, and Arunee Klinklom. Pharmacokinetics of low-dose lopinavir/ritonavir tablet formulation in HIV-1 infected children. Chulalongkorn University, 2010. https://doi.org/10.58837/chula.res.2010.14.

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Methods: This was an open-label, cross-over study of 24 HIV-infected children with HIV RNA < 50 copies/ml comparing PK parameter of standard dose LPV/r and low dose of LPV/r for 4 weeks. LPV dosage was prescribed by body weight band; 25~35 kg: LPV/r 300/75 vs. 200/50 mg, > 35 kg 400/100 vs. 300/75 mg. Glood samples were drawn at 0 (pre-dose), 2,4,6,8, 10 and 12 hours. Plasma concentrations of LPV and RTV were measured by HPLC method. The acceptable C12h is > 1 mg/L. The HIV RNA was measured at week 12 after switch back to standard dose for 4 weeks. Results: Twenty four children were i

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Mestre Fons, Bartolomé, and Fabian Maucher. Finite temperature effects on Dipolar Superfluids. Fundación Avanza, 2023. http://dx.doi.org/10.60096/fundacionavanza/1672022.

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We qualitatively discuss the dependency of the phase-transition between a super- fluid and a supersolid of a dipolar Bose-Einstein condensate confined to a tubular geometry on temperature employing beyond mean-field corrections.

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Michalski, A,, D. Andersson, R. Rossi, and C. Soriano. D7.1 DELIVERY OF GEOMETRY AND COMPUTATIONAL MODEL. Scipedia, 2021. http://dx.doi.org/10.23967/exaqute.2021.2.020.

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This document describes the industrial application, on which the developments of the project are implemented, and the CFD set-up. The developments are implemented over six analysis cases with increasing complexity starting from a 2D geometry with mean wind inflow to a 3D geometry with turbulent inflow and real-time shape optimization. The application represents the CAARC tall building model, which has served as a benchmark model for many studies since the 1970’s when it was first developed. Base moments (bending and torsional moments) of the building are extracted for validation by comparison

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Burke, Timothy Patrick, Brian Kiedrowski, William R. Martin, and Forrest B. Brown. GPU Acceleration of Mean Free Path Based Kernel Density Estimators in Monte Carlo Neutronics Simulations with Curvilinear Geometries. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1213496.

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