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The paper proposes a characterization of the structure of derivatives, and proves several properties of derivatives. The above work can be used to solve an issue in using Berry and Sethi’s result, i. e., finding the unique representatives of derivatives. keywords: Regular expressions, derivatives, finite automata.

Sub-micronic grating couplers have been integrated on optical waveguides for efficient light in-coupling into interferometric biosensors. Design and fabrication processes are presented as well as the results of the optical characterization and the sensing evaluation. Keywords-Grating couplers; interferometers; biosensors; integrated optics.

In this paper, a set of axioms is given that characterizes those functions I : [0, 1] → [0, 1] for which a left-continuous uninorm U exists in such a way that I is the residual implication derived from U . A characterization for the particular case when U is representable is also given. Keywords— Implication function, left-continuity, residual implication, uninorm.

We study minimum cost spanning tree problems and de…ne a cost sharing rule that satis…es many more properties than other rules in the literature. Furthermore, we provide an axiomatic characterization based on monotonicity properties. Keywords: Spanning tree. Cost allocation. Monotonicity. JEL Classi…cation Numbers: C71, D63, D7.

In the context of decision under uncertainty, we characterize the 2-additive Choquet integral on the set of fictitious acts called binary alternatives or binary actions. This characterization is based on a fundamental property called MOPI which permits us to relate belief functions and the 2additive Choquet integral. Keywords—Capacity, Möbius transform, Choquet integral, k-monotone function, Be...

This paper presents logic level estimators of leakage current for nanoscale digital standard cell circuits. Here the proposed estimation model is based on the characterization of internal node voltages of cells and the characterization of leakage current in a single Field-Effect Transistor (FET). Finally the estimation model allowed direct implementation of supply voltage variation impact on le...

This paper presents a realistic characterization of the channel holding time in an operating GSM network covering an urban area. Our approach is entirely statistical: the data set to be fitted has been provided by the OMC (Operations and Maintenance Center). The Kolmogorov Smirnov goodness of fit test is used in order to test the suitability of the exhibited distribution. From this statistical ...