Results 231 to 240 of about 1,516,048 (285)

Interrogating a single light-driven rotary molecular motor with force

open access: yes
Duwez A   +5 more
europepmc   +1 more source

Dual Gramian analysis: Duality principle and unitary extension principle

Mathematics of Computation, 2015
Summary: Dual Gramian analysis is one of the fundamental tools developed in a series of papers by Amos Ron and Zouwei Shen for studying frames. Using dual Gramian analysis, the frame operator can be represented as a family of matrices composed of the Fourier transforms of the generators of (generalized) shift-invariant systems, which allows us to ...
Fan, Zhitao, Ji, Hui, Shen, Zuowei
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The Extension Principle

2013
In Sect. 15.6 we have discussed how set theoretic operations like intersection, union, and complement can be generalized to fuzzy sets. This section is devoted to the issue of extending the concept of mappings or functions to fuzzy sets. These ideas allow us to define operations like addition, subtraction, multiplication, division, or taking squares as
Rudolf Kruse   +5 more
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Generalized Extension Principle

Fuzzy Optimization and Decision Making, 2010
The conventional extension principle was established on the Euclidean space and defined by considering the minimum or t-norm operator. The generalized extension principle proposed in this paper is established on the Hausdorff space and defined by considering an operator that is more general than the t-norm operator.
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An Extension of Babinet's Principle

Journal of Modern Optics, 1991
Abstract It is shown that the diffraction pattern produced by any of two complementary screens and the one produced by a slit having the shape of their boundary, oscillates in opposite phase. This extension of Babinet's principle is illustrated with examples from nuclear scattering and classical optics.
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A generalized extension principle

Fuzzy Sets and Systems, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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