Academic literature on the topic 'Affine'

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Journal articles on the topic "Affine"

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Song, Su Luo. "The Structure and Properties of a Class of Affine Subspaces and Applications in Mechatronics Science." Applied Mechanics and Materials 321-324 (June 2013): 2385–88. http://dx.doi.org/10.4028/www.scientific.net/amm.321-324.2385.

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Information science focuses on understanding problems from the perspective of the stakeholders involved and then applying information and other technologies as needed. We show that every affine subspace is the orthogonal direct sum of at most three purely non-reducing subspaces. This result is obtained through considering the basicquestion as to when the orthogonal complement of an afffine subspace in another one is still affine subspace. Motivated by the fundamental question as to whethor every affine subspace is singly-generated wavelet frame, we prove that every affine sub -space can be dec
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Mazėtis, Edmundas. "Apie Kavagučio erdvių geometriją." Lietuvos matematikos rinkinys 41 (December 17, 2001): 239–43. http://dx.doi.org/10.15388/lmr.2001.34498.

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Mazėtis, Edmundas. "Apie trečios eilės liestinių sluoksniuočių geometriją." Lietuvos matematikos rinkinys 40 (December 18, 2000): 155–60. http://dx.doi.org/10.15388/lmr.2000.35083.

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Diese Arbcit ist der Theorie der lineare und affine Zussanunenhängen in Tangentbündeln der dritter Ordnung gewidmet. Beweisst man, dass linear Zussammenhang drei Objekte affiner Zus­sammenhängen induziert, findet man die strukturische Gleichungen und Krümmungsobjekten die­ser Bündeln.
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Karger, Adolf. "Affine Darboux motions." Czechoslovak Mathematical Journal 35, no. 3 (1985): 355–72. http://dx.doi.org/10.21136/cmj.1985.102026.

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Dillen, Franki, and Luc Vrancken. "Affine Surfaces which are Both Affine Harmonic and Affine Maximal." Results in Mathematics 27, no. 1-2 (1995): 35–40. http://dx.doi.org/10.1007/bf03322267.

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Wang, Shi Heng. "Semi-Orthogonal Parseval Wavelets Frames on Local Fields and Applications in Manufacturing Science." Advanced Materials Research 712-715 (June 2013): 2464–68. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.2464.

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Manufacturing science focuses on understanding problems from the perspective of the stakeholders involved and then applying manufacturing science as needed. We investigate semi-orthogonal frame wavelets and Parseval frame wavelets in with a dilation factor. We show that every affine subspace is the orthogonal direct sum of at most three purely non-reducing subspaces. This result is obtained through considering the basicquestion as to when the orthogonal complement of an afffine subspace in another one is still affine subspace.The definition of multiple pseudofames for subspaces with integer tr
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Podestá, Fabio. "Affine Transformations in Affine Differential Geometry." Results in Mathematics 16, no. 1-2 (1989): 155–61. http://dx.doi.org/10.1007/bf03322651.

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Tsemo, Aristide. "Affine Anosov Diffeomorphims of Affine Manifolds." International Journal of Mathematics and Mathematical Sciences 2008 (2008): 1–5. http://dx.doi.org/10.1155/2008/673534.

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We show that a compact affine manifold endowed with an affine Anosov transformation is finitely covered by a complete affine nilmanifold. This is a partial answer of a conjecture of Franks for affine manifolds.
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ZHAO, CHANG-JIAN. "The affine Orlicz log-Minkowki inequality." Carpathian Journal of Mathematics 39, no. 1 (2022): 293–302. http://dx.doi.org/10.37193/cjm.2023.01.20.

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In this paper, we establish an affine Orlicz log-Minkowki inequality for the affine quermassintegrals by introducing new concepts of affine measures and Orlicz mixed affine measures, and using the newly established Orlicz affine Minkowski inequality for the affine quermassintegrals. The affine Orlicz log-Minkowski inequality in special case yields $L_{p}$-affine log-Minkowski inequality. The affine log-Minkowski inequality is also derived.
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Švec, Alois. "On the affine normal." Czechoslovak Mathematical Journal 40, no. 2 (1990): 332–42. http://dx.doi.org/10.21136/cmj.1990.102385.

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Dissertations / Theses on the topic "Affine"

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Chen, Zongbin. "Pureté des fibres de Springer affines pour GL_4." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112266/document.

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La thèse consiste de deux parties. Dans la première partie, on montre la pureté des fibres de Springer affines pour $\gl_{4}$ dans le cas non-ramifié. Plus précisément, on construit une famille de pavages non standard en espaces affines de la grassmannienne affine, qui induisent des pavages en espaces affines de la fibre de Springer affine. Dans la deuxième partie, on introduit une notion de $\xi$-stabilité sur la grassmannienne affine $\xx$ pour le groupe $\gl_{d}$, et on calcule le polynôme de Poincaré du quotient $\xx^{\xi}/T$ de la partie $\xi$-stable $\xxs$ par le tore maximal $T$ par une
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Azam, Saeid. "Extended affine Lie algebras and extended affine Weyl groups." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp02/NQ27440.pdf.

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Li, Yiqiang. "Affine canonical bases /." Search for this dissertation online, 2006. http://wwwlib.umi.com/cr/ksu/main.

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Deconchy, Vincent. "Géométrie affine symplectique." Montpellier 2, 1999. http://www.theses.fr/1999MON20076.

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La geometrie affine symplectique consiste en l'etude des invariants des hypersurfaces de l'espace symplectique standard sous l'action du groupe affine symplectique. On peut considerer qu'il s'agit d'une generalisation aux dimensions superieures de la geometrie equiaffine des courbes dans le plan, en notant que dans ce cas le groupe symplectique et le groupe special lineaire coincident. Sachant qu'il existe sur une hypersurface d'un espace symplectique un champ de droites privilegie, on construit un champ transverse adapte (le vecteur normal (affine) symplectique) dont on donne une interpretati
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Kohl, Stefan. "Restklassenweise affine Gruppen." [S.l. : s.n.], 2005. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB12168144.

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Fring, A. "Affine Toda field theory." Thesis, Imperial College London, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.295149.

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Holtom, Paul Andrew. "Affine-invariant symmetry sets." Thesis, University of Liverpool, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.367704.

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Moakes, Matthew George. "On quantum affine algebras." Thesis, King's College London (University of London), 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.406170.

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Andrei, Octavian. "3D affine coordinate transformations." Thesis, KTH, Geodesi och satellitpositionering, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-199846.

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This thesis investigates the three-dimensional (3D) coordinate transformation from a globalgeocentric coordinate system to a national terrestrial coordinate system. Numerical studies arecarried out using the Swedish geodetic data SWEREF 93 and RT90/RH70. Based on theHelmert transformation model with 7-parameters, two new models have been studied: firstly ageneral 3D affine transformation model has been developed using 9-parameters (threetranslations, three rotations and three scale factors) and secondly the model with 8-parameters(three translations, three rotations and two scale factors) has
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Welch, Amanda Renee. "Double Affine Bruhat Order." Diss., Virginia Tech, 2019. http://hdl.handle.net/10919/89366.

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Given a finite Weyl group W_fin with root system Phi_fin, one can create the affine Weyl group W_aff by taking the semidirect product of the translation group associated to the coroot lattice for Phi_fin, with W_fin. The double affine Weyl semigroup W can be created by using a similar semidirect product where one replaces W_fin with W_aff and the coroot lattice with the Tits cone of W_aff. We classify cocovers and covers of a given element of W with respect to the Bruhat order, specifically when W is associated to a finite root system that is irreducible and simply laced. We show two approache
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Books on the topic "Affine"

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Nomizu, Katsumi. Affine differential geometry: Geometry of affine immersions. Cambridge University Press, 1994.

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Bergmann, Artur, and Erich Baumgartner. Affine Ebenen. Oldenbourg Wissenschaftsverlag Verlag, 2013. http://dx.doi.org/10.1524/9783486747102.

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Snapper, Ernst. Metric affine geometry. Dover Publications, 1989.

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Gutierrez, Jaime, Vladimir Shpilrain, and Jie-Tai Yu, eds. Affine Algebraic Geometry. American Mathematical Society, 2005. http://dx.doi.org/10.1090/conm/369.

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Gao, Yun, Naihuan Jing, Michael Lau, and Kailash C. Misra, eds. Quantum Affine Algebras, Extended Affine Lie Algebras, and Their Applications. American Mathematical Society, 2010. http://dx.doi.org/10.1090/conm/506.

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Bennett, M. K. Affine and Projective Geometry. John Wiley & Sons, Inc., 1995. http://dx.doi.org/10.1002/9781118032565.

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van den Essen, Arno, ed. Automorphisms of Affine Spaces. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8555-2.

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Shapiro, Larry S. Affine analysis of image sequences. Cambridge University Press, 1995.

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Bobadilla, Javier Fernández de. Moduli spaces of polynomials in two variables. American Mathematical Society, 2005.

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Russell, P., Daniel Daigle, Richard Ganong, and Mariusz Koras. Affine algebraic geometry: The Russell festschrift. American Mathematical Society, 2011.

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Book chapters on the topic "Affine"

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Behera, Biswaranjan, and Qaiser Jahan. "Affine, Quasi-affine and Co-affine Frames." In Wavelet Analysis on Local Fields of Positive Characteristic. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-7881-3_3.

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Schmidt, Stefan E. "Affine Hüllensysteme und affine Liniensysteme." In Grundlegungen zu einer allgemeinen affinen Geometrie. Birkhäuser Basel, 1995. http://dx.doi.org/10.1007/978-3-0348-9233-9_7.

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Díaz-Caro, Alejandro, and Abuzer Yakaryılmaz. "Affine Computation and Affine Automaton." In Computer Science – Theory and Applications. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-34171-2_11.

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Pareigis, Bodo. "Affine Räume." In Analytische und projektive Geometrie für die Computer-Graphik. Vieweg+Teubner Verlag, 1990. http://dx.doi.org/10.1007/978-3-322-91199-5_2.

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Pareigis, Bodo. "Affine Teilräume." In Analytische und projektive Geometrie für die Computer-Graphik. Vieweg+Teubner Verlag, 1990. http://dx.doi.org/10.1007/978-3-322-91199-5_6.

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Roman, Steven. "Affine Geometry." In Advanced Linear Algebra. Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4757-2178-2_16.

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Artmann, Benno. "Affine Geometrie." In Lineare Algebra. Birkhäuser Basel, 1986. http://dx.doi.org/10.1007/978-3-0348-7674-2_5.

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Artmann, Benno. "Affine Geometrie." In Lineare Algebra. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-7687-2_5.

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Reventós Tarrida, Agustí. "Affine Spaces." In Springer Undergraduate Mathematics Series. Springer London, 2011. http://dx.doi.org/10.1007/978-0-85729-710-5_1.

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Artmann, Benno. "Affine Geometrie." In Lineare Algebra. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-8656-7_5.

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Conference papers on the topic "Affine"

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Racioppi, Antonio, and Alberto Salvio. "Natural Metric-Affine Inflation." In 2nd Training School and General Meeting of the COST Action COSMIC WISPers (CA21106). Sissa Medialab, 2025. https://doi.org/10.22323/1.474.0007.

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Khalid, Ijaz, Zohaib Hassan, and Haroon Ul Rasheed. "The Effect of Affine and Extended Affine Equivalence Class Against Various Cryptographic Profile." In 2024 21st International Bhurban Conference on Applied Sciences and Technology (IBCAST). IEEE, 2024. https://doi.org/10.1109/ibcast61650.2024.10877138.

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Li, An-Min, and Fang Jia. "Affine maximal hypersurfaces." In PDEs, Submanifolds and Affine Differential Geometry. Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc69-0-2.

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Maragos, Petros. "Affine morphology and affine signal models." In San Diego '90, 8-13 July, edited by Paul D. Gader. SPIE, 1990. http://dx.doi.org/10.1117/12.23574.

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Guo, Xifeng, En Zhu, Xinwang Liu, and Jianping Yin. "Affine Equivariant Autoencoder." In Twenty-Eighth International Joint Conference on Artificial Intelligence {IJCAI-19}. International Joint Conferences on Artificial Intelligence Organization, 2019. http://dx.doi.org/10.24963/ijcai.2019/335.

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Existing deep neural networks mainly focus on learning transformation invariant features. However, it is the equivariant features that are more adequate for general purpose tasks. Unfortunately, few work has been devoted to learning equivariant features. To fill this gap, in this paper, we propose an affine equivariant autoencoder to learn features that are equivariant to the affine transformation in an unsupervised manner. The objective consists of the self-reconstruction of the original example and affine transformed example, and the approximation of the affine transformation function, where
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DILLEN, FRANKI, MARTIN MAGID, and LUC VRANCKEN. "AFFINE HYPERSPHERES WITH CONSTANT AFFINE SECTIONAL CURVATURE." In Differential Geometry in Honor of Professor S S Chern. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792051_0003.

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Dillen, Franki, та Luc Vrancken. "Improper affine spheres and δ-invariants". У PDEs, Submanifolds and Affine Differential Geometry. Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc69-0-10.

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Berny, Arnaud. "Affine OneMax." In GECCO '21: Genetic and Evolutionary Computation Conference. ACM, 2021. http://dx.doi.org/10.1145/3449726.3459497.

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Quan, Long. "Affine Stereo Calibration for Relative Affine Shape Reconstruction." In British Machine Vision Conference 1993. British Machine Vision Association, 1993. http://dx.doi.org/10.5244/c.7.66.

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Furuhata, H. "Codazzi structures induced by minimal affine immersions." In PDEs, Submanifolds and Affine Differential Geometry. Institute of Mathematics Polish Academy of Sciences, 2002. http://dx.doi.org/10.4064/bc57-0-2.

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Reports on the topic "Affine"

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Backus, David, Silverio Foresi, and Chris Telmer. Affine Models of Currency Pricing. National Bureau of Economic Research, 1996. http://dx.doi.org/10.3386/w5623.

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Duffie, D., D. Filipovic, and W. Schachermayer. Affine Processes and Application in Finance. National Bureau of Economic Research, 2002. http://dx.doi.org/10.3386/t0281.

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Bachelder, Ivan A., and Shimon Ullman. Contour Matching Using Local Affine Transformations. Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada259601.

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Soanes, Royce W. Thrice Differentiable Affine Conic Spline Interpolation. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada304778.

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Hopcroft, John E., and Daniel P. Huttenlocher. On Planar Point Matching under Affine Transformation. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada210106.

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Dai, Qiang, and Kenneth Singleton. Specification Analysis of Affine Term Structure Models. National Bureau of Economic Research, 1997. http://dx.doi.org/10.3386/w6128.

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Hamilton, James, and Jing Cynthia Wu. Testable Implications of Affine Term Structure Models. National Bureau of Economic Research, 2011. http://dx.doi.org/10.3386/w16931.

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Clubok, Kenneth Sherman. Conformal field theory on affine Lie groups. Office of Scientific and Technical Information (OSTI), 1996. http://dx.doi.org/10.2172/260974.

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Bates, David. Maximum Likelihood Estimation of Latent Affine Processes. National Bureau of Economic Research, 2003. http://dx.doi.org/10.3386/w9673.

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Pati, Y. C., and P. S. Krishnaprasad. Affine Frames of rational Wavelets in H2(II+). Defense Technical Information Center, 1992. http://dx.doi.org/10.21236/ada454952.

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