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Dirac-Yang monopoles and their regular counterparts

by Tigran Tchrakian
"... The Dirac-Yang monopoles are singular Yang–Mills field configurations in all Euclidean dimensions. The regular counterpart of the Dirac monopole in D = 3 is the t Hooft-Polyakov monopole, the former being simply a gauge transform of the asymptotic fields of the latter. Here, regular counterparts of ..."
Abstract - Cited by 4 (0 self) - Add to MetaCart
The Dirac-Yang monopoles are singular Yang–Mills field configurations in all Euclidean dimensions. The regular counterpart of the Dirac monopole in D = 3 is the t Hooft-Polyakov monopole, the former being simply a gauge transform of the asymptotic fields of the latter. Here, regular counterparts

Supersymmetry And Four-Dimensional Counterpart Of Dimensional Regularization

by J. Novotn
"... this paper we would like to present a supersymmetric generalization of DR 4 - a "supersymmetric dimensional regularization in four dimensions"(we denote it SDR 4 in what follows) for SUSY QED, as well as to illustrate its connection with RDR by means of explicit examples of DR 4 and RDR re ..."
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this paper we would like to present a supersymmetric generalization of DR 4 - a "supersymmetric dimensional regularization in four dimensions"(we denote it SDR 4 in what follows) for SUSY QED, as well as to illustrate its connection with RDR by means of explicit examples of DR 4 and RDR

REGULAR

by Kripasagar Venkat, Performance On The Msp
"... • Analog filters Mature and well developed design methodologies available Accuracy is limited, as they use components that are subjected to tolerances Any change in filter specifications calls for a complete change in hardware with testing and verifications repeated Storage and portability a cau ..."
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cause for concern Inherently expensive to improve accuracy • Digital filters Design is simple, borrows all concepts from its analog counterpart Modifying the characteristics requires just a small change in software with no hardware changes necessary With everything digital and the advent of digital

Axial Anomalies And Four-Dimensional Counterpart Of Dimensional Regularization

by Novotn Nuclear
"... this paper we would like to illustrate some of the abovementioned properties of DR 4 in more detail as well as to discuss the connection of perturbative cut-offs of V,A,P,S fermionic loops within the framework of DR 4 ..."
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this paper we would like to illustrate some of the abovementioned properties of DR 4 in more detail as well as to discuss the connection of perturbative cut-offs of V,A,P,S fermionic loops within the framework of DR 4

MULTISCALE RECURSIVE ESTIMATION, DATA FUSION, AND REGULARIZATION

by Kenneth C. Chou, Alan S. Willsky, Albert Benveniste
"... A current topic of great interest is the multiresolution analysis of signals and the development of multiscale signal processing algorithms. In this paper we describe a framework for modeling stochastic phenomena at multiple scales and for their efficient estimation or reconstruction given partial a ..."
Abstract - Cited by 136 (43 self) - Add to MetaCart
, the latter of which has no counterpart for time- (rather than scale-) recursive Kalman filtering. We illustrate the use of our methodology for the fusion of multiresolution data and for

Article Laws of Nature and Counterparts1

by Esteban Céspedes
"... Abstract: The events of nature are, at first glance, related to each other in a necessary way, as if they were subject to certain rules, a fact that is closely linked with the ontology of natural laws. However, there are several conflicting theories about their existence, such as the Humean view as ..."
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as well as realism. Mumford proposes a third way: to accept natural regularity, but deny that this is due to the real existence of natural laws. Finally, some ideas about a possible combination between nomological realism and Lewis’s counterpart theory will be considered in order to improve the first. I

Coil sensitivity encoding for fast MRI. In:

by Klaas P Pruessmann , Markus Weiger , Markus B Scheidegger , Peter Boesiger - Proceedings of the ISMRM 6th Annual Meeting, , 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
Abstract - Cited by 193 (3 self) - Add to MetaCart
that in weak reconstruction FFT can still be applied if k-space is sampled in a regular Cartesian fashion. For this reason sensitivity encoding with Cartesian sampling is particularly feasible. Moreover, the reconstruction mechanism is relatively easily understood in this case. Therefore, the first part

Regularization on discrete spaces

by Dengyong Zhou, Bernhard Schölkopf - Pattern Recognition , 2005
"... Abstract. We consider the classification problem on a finite set of objects. Some of them are labeled, and the task is to predict the labels of the remaining unlabeled ones. Such an estimation problem is generally referred to as transductive inference. It is well-known that many meaningful inductive ..."
Abstract - Cited by 41 (1 self) - Add to MetaCart
inductive or supervised methods can be derived from a regularization framework, which minimizes a loss function plus a regularization term. In the same spirit, we propose a general discrete regularization framework defined on finite object sets, which can be thought of as discrete analogue of classical

THE KUSTAANHEIMO-STIEFEL REGULARIZATION AND THE QUADRUPOLAR CONJUGACY

by Lei Zhao
"... Abstract. In this note, we present the Kustaanheimo-Stiefel regularization in a symplectic and quaternionic fashion. The bilinear relation [1] is associated with the moment map of the S 1- action of the Kustaanheimo-Stiefel transformation, which yields a concise proof of the symplecticity of the Kus ..."
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-Féjoz coordinates) is generalized from the planar case to the spatial case. Finally, we obtain a conjugacy relation between the integrable approximating dynamics of the lunar spatial three-body problem and its regularized counterpart, similar to the conjugacy relation between the

Deformable texture: the irregular-regular-irregular cycle

by Yanxi Liu, Yanxi Liu, Wen-chieh Lin , 2003
"... Departures from a regular texture pattern can happen in many different dimensions. Previous related work has focused on faithful texture synthesis for near-regular texture departing along the color and intensity axes while the underlying geometric regularity is well preserved. In this paper, we addr ..."
Abstract - Cited by 11 (3 self) - Add to MetaCart
corresponding regular counterpart. The novel view in this work is to treat the deformation field itself as a texture that is both visual and functional. As a result, we can handle faithful texture synthesis for a much larger variety of near-regular textures.
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