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Spatial filters for differentiation
Optics Communications, 1973Abstract A grating is copied in monochromatic coherent light. The copy plate is not quite in contact with the grating. Therefore, the fringe contrast on the copy plate will vary across the field. This copy plate can serve as spatial filter for performing first order or higher order differentiations, if the geometry of the copy process was chosen ...
J.K.T. Eu, C.Y.C. Liu, A.W. Lohmann
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Temporo-spatial differentiations
2023Temporo-spatial differentiation problems were first introduced in \cite{Assani-Young} under the name of spatial-temporal differentiation problems. Given a probability space $(X, \mu)$ and measurable map $T : X \to X$, a temporo-spatial differentiation problem is concerned with the limiting behavior of the sequence$$\frac{1}{\mu(C_k)} \int_{C_k} \frac{1}
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Differentiation by Spatial Filtering
Optica Acta: International Journal of Optics, 1977A simple procedure for generating filters to perform first- and second-order differentiation has been presented. The procedure is based on the dependence of the diffraction efficiency on the grating constant of a binary grating. The influence of the finite or zero transmittance of the central region of the filter and also of the finite size of the ...
R.S. Sirohi, V. Ram Mohan
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Differentiating spatial memory from spatial transformations.
Journal of Experimental Psychology: Learning, Memory, and Cognition, 2014The perspective-taking task is one of the most common paradigms used to study the nature of spatial memory, and better performance for certain orientations is generally interpreted as evidence of spatial representations using these reference directions.
Whitney N, Street, Ranxiao Frances, Wang
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Time response of plasmonic spatial differentiators
Optics Letters, 2019We investigate the time response of plasmonic spatial differentiators based on prism coupling configurations. We show that when the incident light is time-modulated, in addition to the spatial differentiation, the output field is also contributed by the signal derivative with respect to time.
Jiahao Zhang, Qianwen Ying, Zhichao Ruan
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Divisionalization with spatial differentiation
International Journal of Industrial Organization, 2001Abstract This paper assumes that firms can create independent divisions which compete in a market where the product is spatially differentiated. Our first result is that if the number of firms is exogenous and higher than some critical level, then the symmetric subgame perfect equilibrium converges to perfect competition when the cost of ...
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Differentiation by Spatial Filtering
Journal of Optics, 1976A simple procedure for generating filters to perform I and II order differentiation has been presented. The procedure is based on the dependence of the diffraction efficiency on the grating constant of a binary grating. The influence of the finite transraittance of the central region of the filter on the differentiation quality has also been studied.
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Low-Complexity Differential Spatial Modulation
IEEE Wireless Communications Letters, 2019Differential spatial modulation (DSM) is a multi-antenna technique which transmits additional data bits by selecting indexes of antennas and avoids pilot overhead. However, DSM is complicated in two aspects and we aim to reduce the complexity of DSM in this letter.
Ruey-Yi Wei, Tzu-Yun Lin
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Spatially Differentiated Sustainability Assessment of Products
2018Due to the globalization of supply chains, the environmental and social impacts related to products are often dispersed over many locations. Life cycle-oriented sustainability assessment methods aim at compiling the total impacts without explicitly considering their spatial distribution.
Thies, Christian +3 more
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Spatial Competition and the Theory of Differentiated Markets: An Introduction
The Journal of Industrial Economics, 1982SPATIAL economics has been both in the very center of microeconomic theory and at its periphery. It has been at the center, to the extent that it has followed a tradition taking its roots in Hotelling's classic "Stability in Competition" paper [15] and has used spatial concepts to explain, by analogy, the pricing of differentiated commodities.
Philips, Louis, Thisse, Jacques-Francois
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