Relevant bibliographies by topics / Roth's theorem

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Roth's theorem'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Roth's theorem"

1

Sanders, Tom. "On Roth's theorem on progressions." Annals of Mathematics 174, no. 1 (July 1, 2011): 619–36. http://dx.doi.org/10.4007/annals.2011.174.1.20.

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Gasbarri, C., and Michael McQuillan. "Roth's theorem for ruled surfaces." American Journal of Mathematics 127, no. 3 (2005): 471–92. http://dx.doi.org/10.1353/ajm.2005.0020.

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Gross, Robert. "A note on Roth's Theorem." Journal of Number Theory 36, no. 1 (September 1990): 127–32. http://dx.doi.org/10.1016/0022-314x(90)90010-o.

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Ward, A. J. B. "Roth's removal theorem for lambda matrices." International Journal of Mathematical Education in Science and Technology 29, no. 3 (May 1998): 325–28. http://dx.doi.org/10.1080/0020739980290302.

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Bombieri, E., and A. J. van der Poorten. "Some quantitative results related to Roth's Theorem." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 45, no. 2 (October 1988): 233–48. http://dx.doi.org/10.1017/s1446788700030159.

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AbstractWe employ the Dyson's Lemma of Esnault and Viehweg to obtain a new and sharp formulation of Roth's Theorem on the approximation of algebraic numbers by algebraic numbers and apply our arguments to yield a refinement of the Davenport-Roth result on the number of exceptions to Roth's inequality and a sharpening of the Cugiani-Mahler theorem. We improve on the order of magnitude of the results rather than just on the constants involved.
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Mirek, Mariusz. "Roth's theorem in the Piatetski-Shapiro primes." Revista Matemática Iberoamericana 31, no. 2 (2015): 617–56. http://dx.doi.org/10.4171/rmi/848.

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Naslund, Eric. "ON IMPROVING ROTH'S THEOREM IN THE PRIMES." Mathematika 61, no. 1 (October 9, 2014): 49–62. http://dx.doi.org/10.1112/s0025579314000175.

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Wang, Julie Tzu-Yueh. "An Effective Roth's Theorem for Function Fields." Rocky Mountain Journal of Mathematics 26, no. 3 (September 1996): 1225–34. http://dx.doi.org/10.1216/rmjm/1181072046.

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Liu, Yu-Ru, and Xiaomei Zhao. "A generalization of Roth's theorem in function fields." Michigan Mathematical Journal 61, no. 4 (November 2012): 839–66. http://dx.doi.org/10.1307/mmj/1353098515.

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Ru, Min. "A Weak Effective Roth's Theorem over Function Fields." Rocky Mountain Journal of Mathematics 30, no. 2 (June 2000): 723–34. http://dx.doi.org/10.1216/rmjm/1022009292.

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Dissertations / Theses on the topic "Roth's theorem"

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Hart, Derrick N. "Finite Field Models of Roth's Theorem in One and Two Dimensions." Thesis, Georgia Institute of Technology, 2006. http://hdl.handle.net/1853/11516.

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Recent work on many problems in additive combinatorics, such as Roth's Theorem, has shown the usefulness of first studying the problem in a finite field environment. Using the techniques of Bourgain to give a result in other settings such as general abelian groups, the author gives a walk through, including proof, of Roth's theorem in both the one dimensional and two dimensional cases (it would be more accurate to refer to the two dimensional case as Shkredov's Theorem). In the one dimensional case the argument is at its base Meshulam's but the structure will be essentially Green's. Let Ϝⁿ [subscript p], p ≠ 2 be the finite field of cardinality N = pⁿ. For large N, any subset A ⊂ Ϝⁿ [subscript p] of cardinality ∣A ∣≳ N ∕ log N must contain a triple of the form {x, x + d, x + 2d} for x, d ∈ Ϝⁿ [subscript p], d ≠ 0. In the two dimensional case the argument is Lacey and McClain who made considerable refinements to this argument of Green who was bringing the argument to the finite field case from a paper of Shkredov. Let Ϝ ⁿ ₂ be the finite field of cardinality N = 2ⁿ. For all large N, any subset A⊂ Ϝⁿ ₂ × Ϝⁿ ₂ of cardinality ∣A ∣≳ N ² (log n) − [superscript epsilon], ε <, 1, must contain a corner {(x, y), (x + d, y), (x, y + d)} for x, y, d ∈ Ϝⁿ₂ and d ≠ 0.
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Henriot, Kevin. "Structures linéaires dans les ensembles à faible densité." Thèse, Paris 7, 2014. http://hdl.handle.net/1866/11116.

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Réalisé en cotutelle avec l'Université Paris-Diderot.
Nous présentons trois résultats en combinatoire additive, un domaine récent à la croisée de la combinatoire, l'analyse harmonique et la théorie analytique des nombres. Le thème unificateur de notre thèse est la détection de structures additives dans les ensembles arithmétiques à faible densité, avec un intérêt particulier pour les aspects quantitatifs. Notre première contribution est une estimation de densité améliorée pour le problème, initié entre autres par Bourgain, de trouver une longue progression arithmétique dans un ensemble somme triple. Notre deuxième résultat consiste en une généralisation des bornes de Sanders pour le théorème de Roth, du cas d'un ensemble dense dans les entiers à celui d'un ensemble à faible croissance additive dans un groupe abélien arbitraire. Finalement, nous étendons les meilleures bornes quantitatives connues pour le théorème de Roth dans les premiers, à tous les systèmes d'équations linéaires invariants par translation et de complexité un.
We present three results in additive combinatorics, a recent field at the interface of combinatorics, harmonic analysis and analytic number theory. The unifying theme in our thesis is the detection of additive structure in arithmetic sets of low density, with an emphasis on quantitative aspects. Our first contribution is an improved density estimate for the problem, initiated by Bourgain and others, of finding a long arithmetic progression in a triple sumset. Our second result is a generalization of Sanders' bounds for Roth's theorem from the dense setting, to the setting of small doubling in an arbitrary abelian group. Finally, we extend the best known quantitative results for Roth's theorem in the primes, to all translation-invariant systems of equations of complexity one.
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Dasht, Johan. "Some developments of homogenization theory and Rothe's method /." Luleå : Dept. of Mathematics, Univ, 2005. http://epubl.luth.se/1402-1757/2005/05/LTU-LIC-0505-SE.pdf.

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Ishak, Daniel. "The Thue–Siegel–Roth Theorem." Thesis, Uppsala University, Department of Mathematics, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-120222.

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He, Chengjian. "Development and application of a generalized dynamic wake theory for lifting rotors." Diss., Georgia Institute of Technology, 1989. http://hdl.handle.net/1853/12389.

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Dyer, Jennifer H. "Theory and painting, the work of Mark Rothko." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape16/PQDD_0009/MQ28562.pdf.

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Carnovale, Marc. "Arithmetic Structures in Small Subsets of Euclidean Space." The Ohio State University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=osu1555657038785892.

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Tatossian, Charles A. "Aerodynamic shape optimization via control theory of helicopter rotor blades using a non-linear frequency domain approach." Thesis, McGill University, 2008. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=112586.

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This study presents a discrete adjoint-based aerodynamic optimization algorithm for helicopter rotor blades in hover and forward flight using a Non-Linear Frequency Domain approach. The goal is to introduce a Mach number variation into the Non-Linear Frequency Domain (NLFD) method and implement a novel approach to present a time-varying cost function through a multi-objective adjoint boundary condition. The research presents the complete formulation of the time dependent optimal design problem. The approach is firstly demonstrated for the redesign of a NACA 0007 and a NACA 23012 helicopter rotor blade section in forward flight. A three-dimensional inviscid Aerodynamic Shape Optimization (ASO) algorithm is then employed to validate and redesign the Caradonna and Tung experimental blade. The results in determining the optimum aerodynamic configurations require an objective function which minimizes the inviscid torque coefficient and maintains the desired thrust level at transonic conditions.
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O'Leary, Beth Andrews. "Analysis of high-speed rotating systems using Timoshenko beam theory in conjunction with the transfer matrix method /." Online version of thesis, 1989. http://hdl.handle.net/1850/10608.

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Schiff, Sarah Eden. "Family systems theory as literary analysis the case of Philip Roth /." [Gainesville, Fla.] : University of Florida, 2004. http://purl.fcla.edu/fcla/etd/UFE0004875.

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Books on the topic "Roth's theorem"

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Transzendentale Theorie und religiöse Erfahrung: Ihre Vermittlung als erkenntnistheoretische Grundintention in Richard Rothes Theologischer Ethik. Frankfurt am Main: P. Lang, 1990.

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S, Rao S. Applications of fuzzy theories to multi-objective system optimization. Moffett Field, Calif: National Aeronautics and Space Administration, Ames Research Center, 1991.

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Joseph Roth Als Stilist: Annaherung Durch Theorie Und Ubersetzung. Universitaetsverlag Winter, 2013.

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F, Roth K., and Chen William W. L, eds. Analytic number theory: Essays in honour of Klaus Roth. Cambridge: Cambridge University Press, 2009.

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N, Kholopov I︠U︡, and T︠S︡enova V, eds. Sator tenet opera rotas: I︠U︡riĭ Nikolaevich Kholopov i ego nauchnai︠a︡ shkola : k 70-letii︠u︡ so dni︠a︡ rozhdenii︠a︡. Moskva: Moskovskai︠a︡ gos. konservatorii︠a︡ imeni P.I. Chaĭkovskogo, 2003.

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Byers, Mark. From the Barricade to the Bedroom. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198813255.003.0003.

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Taking up the arguments of the first chapter, the second chapter examines what was seen at the time as a ‘he-man cult’ within the new American modernism. The first section places this ‘cult’ within a contemporary controversy on the early postwar independent left: the identification of sex as a revolutionary force, supplanting an ‘impotent’ labour movement. The following sections read this ‘gonad theory of revolution’ in Olson’s poems and unpublished prose of 1945 and 1946, as well as in the contemporary work of Adolph Gottlieb, Rothko, Pollock, Newman, and Robert Duncan. The final section reads Olson’s understanding of sexual and social potency in the early ‘Maximus’ poems as a symptom of this broader ideological moment.
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Book chapters on the topic "Roth's theorem"

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Natarajan, Saradha, and Ravindranathan Thangadurai. "Roth’s Theorem." In Pillars of Transcendental Number Theory, 87–105. Singapore: Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-4155-1_6.

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Szemerédi, Endre. "An old new proof of Roth’s theorem." In CRM Proceedings and Lecture Notes, 51–54. Providence, Rhode Island: American Mathematical Society, 2007. http://dx.doi.org/10.1090/crmp/043/04.

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Solymosi, József. "Note on a Generalization of Roth’s Theorem." In Algorithms and Combinatorics, 825–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-55566-4_39.

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Schneider, Hatto. "Theorie des Starren Rotors." In Auswuchttechnik, 27–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05937-1_3.

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Schneider, Hatto. "Theorie des Nachgiebigen Rotors." In Auswuchttechnik, 47–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05937-1_4.

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Schneider, Hatto. "Theorie des starren Rotors." In Auswuchttechnik, 27–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-05941-8_3.

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Schneider, Hatto. "Theorie des nachgiebigen Rotors." In Auswuchttechnik, 47–60. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-05941-8_4.

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Liu, Yu-Ru, and Craig V. Spencer. "A Prime Analogue of Roth’s Theorem in Function Fields." In Fields Institute Communications, 105–47. New York, NY: Springer New York, 2015. http://dx.doi.org/10.1007/978-1-4939-3201-6_5.

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McCutcheon, Randall. "Three ergodic roth theorems." In Elemental Methods in Ergodic Ramsey Theory, 111–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/bfb0093964.

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Schneider, Hatto. "Theorie des Rotors mit starrem Verhalten." In Auswuchttechnik, 73–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-24914-3_5.

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Conference papers on the topic "Roth's theorem"

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Tatossian, Charles, and Siva Nadarajah. "Optimum Shape Design of Helicopter Rotors via Control Theory." In 18th AIAA Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-3951.

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Krothapalli, Krishnamohan, J. Prasad, and David Peters. "Development of a comprehensive wake theory for lifting rotors." In 21st Atmospheric Flight Mechanics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1996. http://dx.doi.org/10.2514/6.1996-3390.

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Racic, Zlatan, and Juan Hidalgo. "Practical Balancing of Flexible Rotors for Power Generation." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-34333.

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Balancing technology is still relatively new. Thirty years ago it was primarily still part of the skilled trade and was often obscured. Today there is enough reference literature printed during the last 20 years alone on general balancing and balancing of flexible rotors, that could fill a room, (Ref: N. Rieger). The majority of papers and other references deal with theoretical derivation of equations based on Jeffcott rotor model. With the growth of rotor sizes specifically of electric generators in power plants, so grew the need to develop not only a theory, but also the way to practically balance these rotors. The economy of manufacturing required pushing the rotors to more and more slender; lower and lower stiffness (∝ EIxx/L3) designs, in relation to its mass moment of inertia (Im), these rotors were more difficult to balance. The first to encounter the problem of balancing these rotors were the OEMs. On two different shores of the Atlantic Ocean, two basic balancing theories known as balancing in “N”, or in “N+2” balancing planes and operating rotor modes were developed. Later, with the development of the microcomputer the influence coefficient method had gained popularity among the power plant community and despite good experiences from both sides the controversy over which one produces better results was left open. In this paper a review of the “N” and “N+2” methods including notes on influence coefficients (IC) is conducted from a practical standpoint. The conclusion by the Authors is that there is no “better” or “worse” balancing method, only the more or less economical in a given situation, and neither gives a unified method to satisfy every rotor. General guidance is also provided over which method to use for best results in balancing large turbo-generator sets.
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Parszewski, Zdzislaw A., and Dong-Xu Li. "Optimal Unbalance Response of Continuous Rotors." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0495.

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Abstract Dynamically optimal alignment of multi-bearing rotors has become one of the principal applications of the system dynamics in its configuration or layout parameters, (Parszewski, 1987). Using non-linear bearing effects and the independent parameters provided by their statical indeterminacy, the alignment of multi-bearing rotors has been optimised for least unbalance response. The rotor unbalance was estimated with the complex modal approach, using measured unbalance response. Some computed results and experiments on a four-bearing laboratory installation were presented in (Parszewski and Li, 1989). This present paper expands the analysis and provides an industrial application of the theory to a turbogenerator, operating in a power station. Comparison with the conventional catenary alignment is also given and shearing forces and bending moments on the couplings are revealed for both cases, showing the advantages of the optimal alignment of the rotor as a continuous shaft.
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Lu, Hanchen, Bailing Tian, Tianrui Han, Qun Zong, and Wenxin Ma. "State Estimate and Control for Multi-rotors UAV: Theory and Experimentation." In 2019 Chinese Control Conference (CCC). IEEE, 2019. http://dx.doi.org/10.23919/chicc.2019.8866629.

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Katano, Yasushi, Motohide Ando, Takane Itoh, and Masafumi Sasaki. "Application of Ceramics to Turbocharger Rotors for Passenger Cars." In ASME 1991 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/91-gt-264.

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Nissan has been developing and marketing ceramic turbocharger rotors for over five years. This paper outlines the major theories and techniques used in ceramic fabrication, joining of ceramic and metal components and machining of ceramics. It also presents a dynamic stress analysis using DYNA3D and describes techniques used in performing impact damage experiments, reliability evaluation and lifetime prediction.
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Ruh, Marius L., and John T. Hwang. "Robust modeling and optimal design of rotors using blade element momentum theory." In AIAA AVIATION 2021 FORUM. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2021. http://dx.doi.org/10.2514/6.2021-2598.

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Al Mehairi, Ayesha, Mohammad A. AL-Shudeifat, Shadi Balawi, and Adnan S. Saeed. "Application of the POD Method for Cracked Rotors." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-68255.

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The application of the proper orthogonal decomposition (POD) method to the vibration response of a cracked Jeffcott rotor model is investigated here. The covariance matrices of horizontal and vertical whirl amplitudes are formulated based on the numerical integration response and the experimental whirl response, respectively, for the considered cracked rotor system. Accordingly, the POD is directly applied to the obtained covariance matrices of the numerical and experimental whirl amplitudes where the proper orthogonal values (POVs) and the proper orthogonal modes (POMs) are obtained for various crack depths, unbalance force vector angles and rotational speeds. It is observed that both POVs and their corresponding POMs are highly sensitive to the appearance of the crack and the unbalance angle changes at the neighborhoods of the critical. The sensitivity zones of the POVs and POMs to the crack propagation coincide with the unstable zones of the cracked system obtained by Floquets theory.
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Tonnesen, Jorgen. "Jorgen W. Lund: Theories Versus Tests." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21376.

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Abstract The contribution of the late Professor Jorgen W. Lund in the field of rotor dynamics and fluid film bearings is presented in a condensed form with the emphasis on the experimental work and results that confirm and support many of Dr. Lund’s theories and analyses. Included are subjects of rotor balancing by the influence method, unbalance response of a flexible rotor, damped critical speeds of flexible rotors and fluid film bearing’s static, dynamic and thermal properties.
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Kodama, Hidekazu, and Masanobu Namba. "Lifting Surface Theory for Steady Aerodynamic Analysis of Ducted Counter Rotation Propfan." In ASME 1992 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/92-gt-014.

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A lifting surface theory is developed to predict the steady performance for ducted counter rotation propfan with blade sweep. In solving the integral equation, the chordwise lifting pressures on the blade surfaces of front and rear rotors are expanded into a finite series at each radial collocation point, and the coefficients of the series are determined so that the blade surface flow tangency conditions for both rotors are satisfied at the corresponding number of control points. Calculations are carried out for the propfans with subsonic relative flows, and the effect of the number of blades on the total pressure rise is studied using a probable blade model. The interference effect between the rotors and the effect of blade sweep on the steady performance are also demonstrated.
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