Relevant bibliographies by topics / Dual basis

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

Academic literature on the topic 'Dual basis'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Dual basis"

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Lewanowicz, Stanisław, and Paweł Woźny. "Dual generalized Bernstein basis." Journal of Approximation Theory 138, no. 2 (February 2006): 129–50. http://dx.doi.org/10.1016/j.jat.2005.10.005.

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Zhang, Li, Hongyi Wu, and Jieqing Tan. "Dual bases for Wang–Bézier basis and their applications." Applied Mathematics and Computation 214, no. 1 (August 2009): 218–27. http://dx.doi.org/10.1016/j.amc.2009.03.079.

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Dong-Bing, Wu. "Dual bases of a Bernstein polynomial basis on simplices." Computer Aided Geometric Design 10, no. 6 (December 1993): 483–89. http://dx.doi.org/10.1016/0167-8396(93)90025-x.

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Nikitin, V. S. "Dual technologies – basis for development." TRANSACTIONS OF THE KRYLOV STATE RESEARCH CENTRE 2, no. 380 (June 1, 2017): 5–8. http://dx.doi.org/10.24937/2542-2324-2017-2-380-5-8.

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Woźniak, J. J. "Systolic dual basis serial multiplier." IEE Proceedings - Computers and Digital Techniques 145, no. 3 (1998): 237. http://dx.doi.org/10.1049/ip-cdt:19981938.

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Huapeng Wu and M. A. Hasan. "Efficient exponentiation using weakly dual basis." IEEE Transactions on Very Large Scale Integration (VLSI) Systems 9, no. 6 (December 2001): 874–79. http://dx.doi.org/10.1109/92.974900.

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Zhang, Li, Hongyi Wu, and Jieqing Tan. "Dual basis functions for the NS-power basis and their applications." Applied Mathematics and Computation 207, no. 2 (January 2009): 434–41. http://dx.doi.org/10.1016/j.amc.2008.10.048.

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Irwansyah, Intan Muchtadi-Alamsyah, Aleams Barra, and Ahmad Muchlis. "Self-Dual Normal Basis of a Galois Ring." Journal of Mathematics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/258187.

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LetR′=GR(ps,psml)andR=GR(ps,psm)be two Galois rings. In this paper, we show how to construct normal basis in the extension of Galois rings, and we also define weakly self-dual normal basis and self-dual normal basis forR′overR, whereR′is considered as a free module overR. Moreover, we explain a way to construct self-dual normal basis using particular system of polynomials. Finally, we show the connection between self-dual normal basis forR′overRand the set of all invertible, circulant, and orthogonal matrices overR.
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Gilbert, M. J., R. Akis, and D. K. Ferry. "Dual computational basis qubit in semiconductor heterostructures." Applied Physics Letters 83, no. 7 (August 18, 2003): 1453–55. http://dx.doi.org/10.1063/1.1599633.

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Ibrahim, M. K., and A. Aggoun. "Dual basis digit serial GF(2m) multiplier." International Journal of Electronics 89, no. 7 (July 2002): 517–23. http://dx.doi.org/10.1080/0020721021000044304.

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Dissertations / Theses on the topic "Dual basis"

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Kimura, Yoshiyuki. "Quantum unipotent subgroup and Dual canonical basis." 京都大学 (Kyoto University), 2012. http://hdl.handle.net/2433/152533.

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Lampe, Philipp [Verfasser]. "Quantum cluster algebras and the dual canonical basis / Philipp Lampe." Bonn : Universitäts- und Landesbibliothek Bonn, 2011. http://d-nb.info/1016181450/34.

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Bell, Derek Robert. "The metaethical and ethical basis of political theory : a dual standpoint approach." Thesis, University of Newcastle Upon Tyne, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.297547.

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Miao, Di. "Isogeometric Bezier Dual Mortaring and Applications." BYU ScholarsArchive, 2019. https://scholarsarchive.byu.edu/etd/7731.

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Isogeometric analysis is aimed to mitigate the gap between Computer-Aided Design (CAD) and analysis by using a unified geometric representation. Thanks to the exact geometry representation and high smoothness of adopted basis functions, isogeometric analysis demonstrated excellent mathematical properties and successfully addressed a variety of problems. In particular, it allows to solve higher order Partial Differential Equations (PDEs) directly omitting the usage of mixed approaches. Unfortunately, complex CAD geometries are often constituted by multiple Non-Uniform Rational B-Splines (NURBS) patches and cannot be directly applied for finite element analysis.parIn this work, we presents a dual mortaring framework to couple adjacent patches for higher order PDEs. The development of this formulation is initiated over the simplest 4th order problem-biharmonic problem. In order to speed up the construction and preserve the sparsity of the coupled problem, we derive a dual mortar compatible C1 constraint and utilize the Bezier dual basis to discretize the Lagrange multipler spaces. We prove that this approach leads to a well-posed discrete problem and specify requirements to achieve optimal convergence. After identifying the cause of sub-optimality of Bezier dual basis, we develop an enrichment procedure to endow Bezier dual basis with adequate polynomial reproduction ability. The enrichment process is quadrature-free and independent of the mesh size. Hence, there is no need to take care of the conditioning. In addition, the built-in vertex modification yields compatible basis functions for multi-patch coupling.To extend the dual mortar approach to couple Kirchhoff-Love shell, we develop a dual mortar compatible constraint for Kirchhoff-Love shell based on the Rodrigues' rotation formula. This constraint provides a unified formulation for both smooth couplings and kinks. The enriched Bezier dual basis preserves the sparsity of the coupled Kirchhoff-Love shell formulation and yields accurate results for several benchmark problems.Like the dual mortaring formulation, locking problem can also be derived from the mixed formulation. Hence, we explore the potential of Bezier dual basis in alleviating transverse shear locking in Timoshenko beams and volumetric locking in nearly compressible linear elasticity. Interpreting the well-known B projection in two different ways we develop two formulations for locking problems in beams and nearly incompressible elastic solids. One formulation leads to a sparse symmetric symmetric system and the other leads to a sparse non-symmetric system.
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Abrahamsson, Björn. "Architectures for Multiplication in Galois Rings." Thesis, Linköping University, Department of Electrical Engineering, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-2396.

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This thesis investigates architectures for multiplying elements in Galois rings of the size 4^m, where m is an integer.

The main question is whether known architectures for multiplying in Galois fields can be used for Galois rings also, with small modifications, and the answer to that question is that they can.

Different representations for elements in Galois rings are also explored, and the performance of multipliers for the different representations is investigated.

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Zou, Zhihui. "Isogeometric Shell Analysis: Multi-patch Coupling and Overcoming Locking." BYU ScholarsArchive, 2020. https://scholarsarchive.byu.edu/etd/8142.

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The fundamental advantages of applying Isogeometric Analysis (IGA) to shell analysis have been extensively demonstrated across a wide range of problems and formulations. However, a phenomenon called numerical locking is still a major challenge in IGA shell analysis, which can lead to dramatically deteriorated analysis accuracy. Additionally, for complex thin-walled structures, a simple and robust coupling technique is desired to sew together models composed of multiple patches. This dissertation focuses on addressing these challenges of IGA shell analysis. First, an isogeometric dual mortar method is developed for multi-patch coupling. This method is based on Be ?zier extraction and projection and can be employed during the creation and editing of geometry through properly modified extraction operators. It is applicable to any spline space which has a representation in Be ?zier form. The error in the method can be adaptively controlled, in some cases recovering optimal higher-order rates of convergence, by leveraging the exact refineability of the proposed dual spline basis without introducing any additional degrees-of-freedom into the linear system. This method can be used not only for shell elements but also for heat transfer and solid elements, etc. Next, a mixed formulation for IGA shell analysis is proposed that addresses both shear and membrane locking and improves the quality of computed stresses. The starting point of the formulation is the modified Hellinger-Reissner variational principle with independent displacement, membrane, and shear strains as the unknown fields. To overcome locking, the strain variables are interpolated with lower-order spline bases while the variations of the strain variables are interpolated with the proposed dual spline bases. As a result, the strain variables can be condensed out of the system with only a slight increase in the bandwidth of the resulting linear system and the condensed approach preserves the accuracy of the non-condensed mixed approach but with fewer degrees-of-freedom. Finally, as an alternative, new quadrature rules are developed to release membrane and shear locking. These quadrature rules asymptotically only require one point for Reissner-Mindlin (RM) shell elements and two points for Kirchhoff-Love (KL) shell elements in B-spline and NURBS-based isogeometric shell analysis, independent of the polynomial order p of the elements. The quadrature points are Greville abscissae and the quadrature weights are calculated by solving a linear moment fitting problem in each parametric direction. These quadrature rules are free of spurious zero-energy modes and any spurious finite-energy modes in membrane stiffness can be easily stabilized by using a higher-order Greville rule.
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Song, Qingsheng. "Development of Dual Gas Diffusion-Type Biofuel Cells on the Basis of Electrochemical Understanding of Enzyme-Modified Electrodes." 京都大学 (Kyoto University), 2017. http://hdl.handle.net/2433/225650.

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Kyoto University (京都大学)
0048
新制・課程博士
博士(農学)
甲第20425号
農博第2210号
新制||農||1047(附属図書館)
学位論文||H29||N5046(農学部図書室)
京都大学大学院農学研究科応用生命科学専攻
(主査)教授 加納 健司, 教授 宮川 恒, 教授 三芳 秀人
学位規則第4条第1項該当
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Al-Bayati, Salam Adel. "Boundary element analysis for convection-diffusion-reaction problems combining dual reciprocity and radial integration methods." Thesis, Brunel University, 2018. http://bura.brunel.ac.uk/handle/2438/17071.

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In this research project, the Boundary Element Method (BEM) is developed and formulated for the solution of two-dimensional convection-diffusion-reaction problems. A combined approach with the dual reciprocity boundary element method (DRBEM) has been applied to solve steady-state problems with variable velocity and transient problems with constant and variable velocity fields. Further, the radial integration boundary element method (RIBEM) is utilised to handle non-homogeneous problems with variable source term. For all cases, a boundary-only formulation is produced. Initially, the steady-state case with constant velocity is considered, by employing constant boundary elements and a fundamental solution of the adjoint equation. This fundamental solution leads to a singular integral equation. The conservation laws, usually applied to avoid this integration, do not hold when a chemical reaction is taking place. Then, the integrals are successfully computed using Telles' technique. The application of the BEM for this particular equation is discussed in detail in this work. Next, the steady-state problem for variable velocity fields is presented and investigated. The velocity field is divided into an average value plus a perturbation. The perturbation is taken to the right-hand-side of the equation generating a non-homogeneous term. This nonhomogeneous equation is treated by utilising the DRM approach resulting in a boundary-only equation. Then, an integral equation formulation for the transient problem with constant velocity is derived, based on the DRM approach utilising the fundamental solution of the steady-state case. Therefore, the convective terms will be encompassed by the fundamental solution and lie within the boundary integral after application of Greens's second identity, leaving on the right-hand-side of the equation a domain integral involving the time-derivative only. The proposed DRM method needs the time-derivative to be expanded as a series of functions that will allow the domain integral to be moved to the boundary. The expansion required by the DRM uses functions which take into account the geometry and physics of the problem, if velocity-dependent terms are used. After that, a novel DRBEM model for transient convection-diffusion-reaction problems with variable velocity field is investigated and validated. The fundamental solution for the corresponding steady-state problem is adopted in this formulation. The variable velocity is decomposed into an average which is included into the fundamental solution of the corresponding equation with constant coefficients, and a perturbation which is treated using the DRM approximation. The mathematical formulation permits the numerical solution to be represented in terms of boundary-only integrals. Finally, a new formulation for non-homogeneous convection-diffusion-reaction problems with variable source term is achieved using RIBEM. The RIM is adopted to convert the domain integrals into boundary-only integrals. The proposed technique shows very good solution behaviour and accuracy in all cases studied. The convergence of the methods has been examined by implementing different error norm indicators and increasing the number of boundary elements in all cases. Numerical test cases are presented throughout this research work. Their results are sufficiently encouraging to recommend the use of the techniques developed for solution of general convection-diffusion-reaction problems. All the simulated solutions for several examples showed very good agreement with available analytical solutions, with no numerical problems of oscillation and damping of sharp fronts.
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Wandersleben, Traudy [Verfasser]. "Structural basis for dual regulation of spliceosomal helicase Brr2 by the Prp8 Jab1 domain and links to retinal disease / Traudy Wandersleben." Berlin : Freie Universität Berlin, 2013. http://d-nb.info/1043687734/34.

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Hashimoto, Marcelo. "Bases de Hilbert." Universidade de São Paulo, 2007. http://www.teses.usp.br/teses/disponiveis/45/45134/tde-08102007-121713/.

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Muitas relações min-max em otimização combinatória podem ser demonstradas através de total dual integralidade de sistemas lineares. O conceito algébrico de bases de Hilbert foi originalmente introduzido com o objetivo de melhor compreender a estrutura geral dos sistemas totalmente dual integrais. Resultados apresentados posteriormente mostraram que bases de Hilbert também são relevantes para a otimização combinatória em geral e para a caracterização de certas classes de objetos discretos. Entre tais resultados, foram provadas, a partir dessas bases, versões do teorema de Carathéodory para programação inteira. Nesta dissertação, estudamos aspectos estruturais e computacionais de bases de Hilbert e relações destas com programação inteira e otimização combinatória. Em particular, consideramos versões inteiras do teorema de Carathéodory e conjecturas relacionadas.
There are several min-max relations in combinatorial optimization that can be proved through total dual integrality of linear systems. The algebraic concept of Hilbert basis was originally introduced with the objective of better understanding the general structure of totally dual integral systems. Some results that were proved later have shown that Hilbert basis are also relevant to combinatorial optimization in a general manner and to characterize certain classes of discrete objects. Among such results, there are versions of Carathéodory\'s theorem for integer programming that were proved through those basis. In this dissertation, we study structural and computational aspects of Hilbert basis and their relations to integer programming and combinatorial optimization. In particular, we consider integer versions of Carathéodory\'s theorem and related conjectures.
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Books on the topic "Dual basis"

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Billings, S. A. Dual-orthogonal radial basis function networks for nonlinear time series prediction. Sheffield: University of Sheffield, Dept. of Automatic Control and Systems Engineering, 1996.

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ill, Gurmeet, ed. Basic duas for children. New Delhi: Goodword Books, 2007.

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(Group), Double Trouble in Recovery. Double Trouble in Recovery: Basic guide. Center City, Minn: Hazelden, 2010.

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Boger, Dan C. On the feasibility of creating a comparable database for nonrecurring cost analysis under dual source competition. Monterey, Calif: Naval Postgraduate School, 1987.

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Robson, Stanley G. Alluvial and bedrock aquifers of the Denver basin--eastern Colorado's dual ground-water resource. [Washington, D.C.?]: U.S. G.P.O., 1989.

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Robson, Stanley G. Alluvial and bedrock aquifers of the Denver basin-eastern Colorado's dual ground-water resources. Denver, CO: Dept. of the Interior, U.S. Geological Survey, 1988.

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National Association for the Education of Young Children, ed. Basics of supporting dual language learners: An introduction for educators of children from birth through age 8. Washington, DC: National Association for the Education of Young Children, 2012.

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Visual Basic 6. 0 Cheng Xu She Ji Ying Yong Duan Qi Pei Xun Jiao Cheng. Bei jing: Bei jing gong ye da xue chu ban she, 2000.

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Shi jie xing yu min zu xing de shuang chong bian zou: Shi jie hua shi ye zhong de jin dai Zhongguo ji chu wai yu jiao yu yan jiu = Dual variations of cosmopolitan and nationality : research on the basic foreign language education of modern China in a cosmopolitanization field of vision. Beijing Shi: Guang ming ri bao chu ban she, 2009.

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Ulvi, Saran, and İstanbul Aydın Üniversitesi, eds. Uluslararası Üç Deniz Havzası Ülkeleri Ortak Yönetim Kültürü ve Yeniden Yapılanma Sorunları Sempozyumu, 13-16 Ekim 2011, bildiriler kitabı = International Symposium on Common Governance Culture & Restructuring Problems in Three Seas Basin Countries, papers = Mezhdunarodnyĭ Basseĭn trekh moreĭ: Kulʹtura edinogo rukovodstva i problemy pereobrazovanii︠a︡ = Nadwah al-Duwalīyah Ḥawla al-Thaqāfah al-Idārīyah al-Mushtarakah wa-Mashākil Iʻādat al-Haykalah fī Duwal Ḥawḍ al-Biḥār al-Thalāth. Ankara: Kamu Araştırmaları Vakfı, 2012.

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Book chapters on the topic "Dual basis"

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Jacobson, Kristen C. "The Genetic Basis of Substance Use and Abuse1." In Dual Diagnosis, 15–30. Basel: KARGER, 2005. http://dx.doi.org/10.1159/000085853.

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Guo, Bao-Zhu, and Jun-Min Wang. "Riesz Basis Generation: Dual-Basis Approach." In Control of Wave and Beam PDEs, 313–438. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12481-6_4.

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PAN, Ping-Qi. "Dual Deficient-Basis Method." In Linear Programming Computation, 535–69. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40754-3_21.

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Zhegunov, Gennadiy. "Material Basis of Life." In The Dual Nature of Life, 19–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-30394-4_2.

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Kaliski, Burton S., and Moses Liskov. "Efficient Finite Field Basis Conversion Involving dual bases." In Cryptographic Hardware and Embedded Systems, 135–43. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48059-5_13.

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Mandelkow, Eva-Maria, Jacek Biernat, Karsten Stamer, Bernhard Trinczek, and Eckhard Mandelkow. "The dual role of tau in cell polarisation and organelle trafficking." In Neuroscientific Basis of Dementia, 101–11. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8225-5_12.

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Morii, Masakatu, and Yuzo Takamatsu. "Exponentiation in finite fields using dual basis multiplier." In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, 354–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54195-0_64.

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Graf, T., S. Grieser, and M. Nunn. "Analysis of the Dual Lineage Specificity of E26 Avian Leukemia Virus." In Molecular Basis of Viral and Microbial Pathogenesis, 91–94. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-73214-0_9.

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Lee, Chang Hyi, and Jong In Lim. "A New Aspect of Dual Basis for Efficient Field Arithmetic." In Public Key Cryptography, 12–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-49162-7_2.

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Glăveanu, Vlad Petre. "The Cultural Basis of the Creative Process: A Dual-Movement Framework." In The Creative Process, 297–316. London: Palgrave Macmillan UK, 2018. http://dx.doi.org/10.1057/978-1-137-50563-7_12.

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Conference papers on the topic "Dual basis"

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Zhuang, Yan, and John S. Baras. "Image compression using optimal wavelet basis." In SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, edited by Harold H. Szu. SPIE, 1995. http://dx.doi.org/10.1117/12.205380.

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Chen, Zikuan, Ruola Ning, David Conover, Yong Yu, and Xianghua Lu. "Dual-basis-material decomposition for dual-kVp cone-beam CT breast imaging." In Medical Imaging, edited by Michael J. Flynn. SPIE, 2005. http://dx.doi.org/10.1117/12.594770.

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Lee, Chiou-Yng, and Pramod Kumar Meher. "Fault Tolerant Dual Basis Multiplier Over GF (2m)." In 2009 IEEE Circuits and Systems International Conference on Testing and Diagnosis. IEEE, 2009. http://dx.doi.org/10.1109/cas-ictd.2009.4960823.

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Ling, Cong. "Approximate Lattice Decoding: Primal Versus Dual Basis Reduction." In 2006 IEEE International Symposium on Information Theory. IEEE, 2006. http://dx.doi.org/10.1109/isit.2006.261586.

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Lee, Ray F. "Dual logic and dual neural basis for reciprocal social interaction in eye contact." In 2014 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC). IEEE, 2014. http://dx.doi.org/10.1109/embc.2014.6944725.

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Chen, Liang-Hwa, Po-Lun Chang, Yen-Ching Chang, and Chiou-Yng Lee. "A Scalable Architecture for Dual Basis GF(2m) Multiplications." In 2012 International Symposium on Biometrics and Security Technologies (ISBAST). IEEE, 2012. http://dx.doi.org/10.1109/isbast.2012.13.

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Fivez, Christiaan M., Patrick Wambacq, Paul Suetens, and Emile P. Schoeters. "Calibration phantom for dual-energy basis material absorption measurements." In Medical Imaging 1996, edited by Richard L. Van Metter and Jacob Beutel. SPIE, 1996. http://dx.doi.org/10.1117/12.237822.

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Anandkumar, Janavikulam, and Harold H. Szu. "Compression of the electrocardiogram (ECG) using an adaptive orthonomal wavelet basis architecture." In SPIE's 1995 Symposium on OE/Aerospace Sensing and Dual Use Photonics, edited by Harold H. Szu. SPIE, 1995. http://dx.doi.org/10.1117/12.205378.

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Searle, Stephen, and Stephen Howard. "Clutter Cancellation in Passive Radar as a Dual Basis Projection." In 2019 53rd Asilomar Conference on Signals, Systems, and Computers. IEEE, 2019. http://dx.doi.org/10.1109/ieeeconf44664.2019.9048824.

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Hou, Wei, Hidekazu Negishi, and Tadashi Fujino. "Low-complexity MIMO data detection using dual lattice-basis reduction." In 2010 10th International Conference on Signal Processing (ICSP 2010). IEEE, 2010. http://dx.doi.org/10.1109/icosp.2010.5656652.

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Reports on the topic "Dual basis"

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Dorr, Andrea, Eva Heckl, and Joachim Kaufmann. Evaluierung des Förderschwerpunkts Talente. KMU Forschung Austria, December 2020. http://dx.doi.org/10.22163/fteval.2020.495.

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With the funding programme Talents, the Federal Ministry for Climate Action, Environment, Energy, Mobility, Innovation and Technology (BMK) supports people in applied research throughout their entire career. The overarching goal is to increase the utilisation of human potential in the application-oriented, scientific and technical RTI sector. The programme objectives are 1) to inspire young people for research and development, 2) to connect researchers with the economic sector, 3)to guarantee equal opportunities for all. Within the framework of three fields of intervention, there are various programme lines: 1) Intervention field Young Talents with the programme lines Internships for Students and Talents Regional, 2) Intervention field Female Talents with the programme lines FEMtech Internships for Female Students, FEMtech Career and FEMtech Career Check for SMEs (2015 and 2016), as well as FEMtech Research Projects; and 3) Intervention field Professional Talents with the programme lines The Austrian Job Exchange for Research, Development and Innovation as well as Career Grants for Interviews, Relocation and Dual Careers in Applied Research. After an interim evaluation in 2014, a final evaluation took place at the end of the programme period (end of 2020). The programme was analysed with regard to its conception, implementation, achievement of objectives and impact. Furthermore, conclusions and recommendations for the further development of the Talents programme have been drawn. The methodological basis of the evaluation is a document analysis, secondary data analysis (FFG monitoring data), interviews with experts, online surveys of funding recipients (FEMtech Career / FEMtech Career Check for SMEs and Career Grants), case studies (FEMtech Career projects) and workshops.
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Alluvial and bedrock aquifers of the Denver Basin; eastern Colorado's dual ground-water resource. US Geological Survey, 1989. http://dx.doi.org/10.3133/wsp2302.

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