Browsing by Keywords "Algebra"
Now showing items 1-19 of 19
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Algebraic acceleration and regularization of the source reconstruction method with the recompressed adaptive cross approximation
(Institute of Electrical and Electronics Engineers Inc., 2014)We present a compression algorithm to accelerate the solution of source reconstruction problems that are formulated with integral equations and defined on arbitrary three-dimensional surfaces. This compression technique ... -
The expressive power of temporal relational query languages
(IEEE, 1997)We consider the representation of temporal data based on tuple and attribute timestamping. We identify the requirements in modeling temporal data and elaborate on their implications in the expressive power of temporal query ... -
Image reconstruction for Magnetic Particle Imaging using an Augmented Lagrangian Method
(IEEE Computer Society, 2017)Magnetic particle imaging (MPI) is a relatively new imaging modality that images the spatial distribution of superparamagnetic iron oxide nanoparticles administered to the body. In this study, we use a new method based on ... -
Improving AWE accuracy using multipoint Pade approximation
(IEEE, 1994)A new method is proposed for dominant pole-zero analysis of large linear circuits containing both lumped and distributed elements. This method is based on a multipoint Pade approximation. It finds a reduced order s-domain ... -
Integrable discrete systems on R and related dispersionless systems
(American Institute of Physics, 2008)A general framework for integrable discrete systems on ℝ, in particular, containing lattice soliton systems and their q-deformed analogs, is presented. The concept of regular grain structures on R, generated by discrete ... -
Investigating self efficacy beliefs and algebraic knowledge of Turkish middle school mathematics teachers by the interaction of age groups and teaching degrees
(Bilkent University, 2017-03)The purpose of the current study was to investigate whether there was a statistically significant relationship between Turkish middle school mathematics teachers’ knowledge for teaching algebra, self-efficacy beliefs, age ... -
Investments viewed as growth processes
(Taylor & Francis, 1995)For modeling investment decision situations, we present a mathematical basis that views the cash flow sequences as growth processes. We first emphasize the pedagogical value of the basic model by showing that all traditionally ... -
Linear algebraic analysis of fractional fourier domain interpolation
(IEEE, 2009)In this work, we present a novel linear algebraic approach to certain signal interpolation problems involving the fractional Fourier transform. These problems arise in wave propagation, but the proposed approach to these ... -
Linear algebraic theory of partial coherence: discrete fields and measures of partial coherence
(OSA Publishing, 2002)A linear algebraic theory of partial coherence is presented that allows precise mathematical definitions of concepts such as coherence and incoherence. This not only provides new perspectives and insights but also allows ... -
Object-oriented query language facilitating construction of new objects
(Elsevier, 1993)In object-oriented database systems, messages can be used to manipulate the database; however, a query language is still a required component of any kind of database system. In the paper, we describe a query language for ... -
On Roth, Korth, and Silberschatz's extended algebra and calculus for nested relational databases
(1992)We discuss the issues encountered in the extended algebra and calculus languages for nested relations defined by Roth, Korth, and Silberschatz. Their equivalence proof between algebra and calculus fails because of the ... -
Optimal sampling of multidimensional periodic band-limited signals
(2005)In this paper, we present an algebraic description of the aliasing phenomena evident in the linear sampling process of multidimensional periodic band limited signals. Opposed to the classical Shannon sampling, periodic ... -
Quantum canonical transformations in star-product formalism
(IOP Institute of Physics Publishing, 2013)We study construction of the star-product version of three basic quantum canonical transformations which are known as the generators of the full canonical algebra. By considering the fact that star-product of c-number ... -
Quantum stereographic projection and the homographic oscillator
(American Physical Society, 1996)The quantum deformation created by the stenographic mapping from S2 to C is studied. It is shown that the resulting algebra is locally isomorphic to su(2) and is an unconventional deformation of which the undeformed limit ... -
Query model for object-oriented databases
(IEEE, 1993-04)A query language should be a part of any database system. While the relational model has a well defined underlying query model, the object-oriented database systems have been criticized for not having such a query model. ... -
Querying web metadata: Native score management and text support in databases
(Association for Computing Machinery, 2004)In this article, we discuss the issues involved in adding a native score management system to object-relational databases, to be used in querying Web metadata (that describes the semantic content of Web resources). The Web ... -
Reusability and schema evolution in object - oriented query models
(ASME, New York, NY, United States, 1996)In this paper, we have benefited from having an object algebra maintaining closure that makes it possible to have the output from a query persistent in the hierarchy. Based on this, it is possible to maximize reusability ... -
Self-Scaled Barrier Functions on Symmetric Cones and Their Classification
(2002)Self-scaled barrier functions on self-scaled cones were axiomatically introduced by Nesterov and Todd in 1994 as a tool for the construction of primal-dual long-step interior point algorithms. This paper provides firm ... -
Simple functors of admissible linear categories
(Springer, 2016)Generalizing an idea used by Bouc, Thévenaz, Webb and others, we introduce the notion of an admissible R-linear category for a commutative unital ring R. Given an R-linear category (Formula presented.) , we define an ...
