How to use ‘a set’ in a sentence

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In this thesis, we generalize the classical discrete wavelet transform, and construct wavelet transforms that are shift-invariant, time-varying, undecimated, and signal dependent. The result is a set of powerful and efficient algorithms…

… number of securities. By introducing a family of auxiliary markets, we connect the primal problem to a set of optimization problems without no short-selling or without transaction costs constraint. In the no short-selling case, the auxiliary…

… variation of α and m_e independently, and the case in which both variations are allowed, fitting also a set of cosmological parameters. We find a fenomenological relationship between the variation of α and the variation of m_e, between decoupling…

… latent variable models that assumes each labeled sample is associated with a set of different features, with no prior knowledge of which feature is the most relevant feature to be used. Deformable-Part Models (DPM) can be seen as good…

… significantly simplified. Image-based modeling (IBM) uses images from different viewpoints to build 3 D model of an object. Previous methods on image-based modeling are very successful at recovering camera poses and a set of 3 D points of the…

In this thesis, we focus on studying spatial database. Specifically, the Reverse k Nearest Neighbour queries in Euclidean Space. Given a set of objects and a query Q, an object p is Q’s Reverse k Nearest Neighbour if Q is one of p’s…

… cooperative strategies are developed for simultaneous relay channels (SRC) which consist of a set of two single relay channels out of which the channel in operation is chosen. Provided that the channel uncertainty involves a limited number of…

… present procedures for finding a set of feasible or near-feasible systems among a finite number of simulated systems in the presence of multiple stochastic constraints, especially when the number of systems or constraints is large. Ph. D.

… these building blocks, and clarify the different meanings of ‘ring/cycle topologies’ in those two types of optical WDM networks. Then we propose a heuristic algorithm to find a set of link-covering rings to be used in WDM network…

… corpus document. Second, most retrieval queries present a highly unbalanced setup, with a set of relevant documents accounting only for a very small fraction of the corpus. Third, ad-hoc retrieval corresponds to a kind of “double”…

… independently. We illustrate the potential usefulness of the framework by describing an implementation of a simulator loosely based on that used for the RoboCup Rescue Simulation League contest. The implementation provides a set of…

… transversely by a reflective cladding. The quality factor Q is greatly enhanced by the small group velocity for a set of cavity lengths that are determined by the dispersion relation of the initial waveguide mode. In Chapter 7, we present a…

… define explicitly the scene as a static structure and a set of dynamic objects. The object is defined as a rigid entity that a user can take, move and that is visually detectable. First, we show how to automatically discover new objects in…

… the computational cost. We also show techniques to support path queries and tree queries. Fourth, we study how to rank documents using a set of keywords, given a context that is associated with the documents. We model the problem using a…

… display to which it is migrated. We conclude with a set of guidelines to ease the migration of selection and manipulation techniques from the HMD to the CAVE while trying to maintain usability…

… and maintenance guide for a Saganc source. In chapter three we experiment with a set of three newly derived families of Bell’s inequalities. These three families are predicted to yield the largest volume of violation of the local hidden…

… some common behaviors. In one scenario, people with opposite opinions show differences in their views on a set of items. Another scenario is people explicitly expressing whom they agree with, like or trust as well as whom they disagree…

… predictability and fuel loading decisions, we develop a set of multiple regression models considering clusters of standard deviation of the estimates. The unpredictability under performance may cause decision makers (airline dispatchers) to load…

… auctions run by Google, Microsoft, Yahoo! etc.) : Given a set of m indivisible items and n agents; agent i is willing to pay b[subscript ij] for item j and has an overall budget of B[subscript i] (i. e. the maximum total amount he is willing to…

… to those of a 1 + 1 dimensional Schwarzschild black hole. It has been conjectured the SYK model is a holographic dual to the black hole. We introduce a set of Feynman rules for the SYK model. Using these rules, we show that in the large N…

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