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Operator (computer programming)

About: Operator (computer programming) is a research topic. Over the lifetime, 40896 publications have been published within this topic receiving 671452 citations. The topic is also known as: operator symbol & operator name.


Papers
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Journal ArticleDOI
TL;DR: In this article, superconformal symmetry on Berenstein-Maldacena-Nastase (BMN) operators with two charge defects is studied both at finite charge J and in the BMN limit.

141 citations

Journal ArticleDOI
TL;DR: In this paper, the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory is presented.
Abstract: In this paper we present results for the renormalization of gauge invariant nonlocal fermion operators which contain a Wilson line, to one-loop level in lattice perturbation theory Our calculations have been performed for Wilson/clover fermions and a wide class of Symanzik improved gluon actions The extended nature of such ``long-link'' operators results in a nontrivial renormalization, including contributions which diverge linearly as well as logarithmically with the lattice spacing, along with additional finite factors On the lattice there is also mixing among certain subsets of these nonlocal operators; we calculate the corresponding finite mixing coefficients, which are necessary in order to disentangle individual matrix elements for each operator from lattice simulation data Finally, extending our perturbative setup, we present nonperturbative prescriptions to extract the linearly divergent contributions

141 citations

Journal ArticleDOI
TL;DR: An approach to accurately detecting two-dimensional (2-D) shapes by extending the DODE filter along the shape's boundary contour by compute the expected shape of the response and derive some of its statistical properties.
Abstract: We propose an approach to accurately detecting two-dimensional (2-D) shapes. The cross section of the shape boundary is modeled as a step function. We first derive a one-dimensional (1-D) optimal step edge operator, which minimizes both the noise power and the mean squared error between the input and the filter output. This operator is found to be the derivative of the double exponential (DODE) function, originally derived by Ben-Arie and Rao (1994). We define an operator for shape detection by extending the DODE filter along the shape's boundary contour. The responses are accumulated at the centroid of the operator to estimate the likelihood of the presence of the given shape. This method of detecting a shape is in fact a natural extension of the task of edge detection at the pixel level to the problem of global contour detection. This simple filtering scheme also provides a tool for a systematic analysis of edge-based shape detection. We investigate how the error is propagated by the shape geometry. We have found that, under general assumptions, the operator is locally linear at the peak of the response. We compute the expected shape of the response and derive some of its statistical properties. This enables us to predict both its localization and detection performance and adjust its parameters according to imaging conditions and given performance specifications. Applications to the problem of vehicle detection in aerial images, human facial feature detection, and contour tracking in video are presented.

141 citations

Journal ArticleDOI
TL;DR: This work provides a fundamental connection with classical fractional calculus by writing these general fractional operators in terms of the original Riemann–Liouville fractional integral operator.

141 citations

Journal ArticleDOI
TL;DR: In this paper, the authors evaluated an input-shaping control method for reducing double-pendulum oscillations on a 10-ton industrial bridge crane and found that human operators were much faster and safer with the input shaping control scheme.

141 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202236
20212,210
20202,380
20192,310
20182,164
20171,834