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Akademisk avhandling för teknisk doktorsexamen vid

by Kungl Tekniska Högskolan, Kth Tryck , 1994
"... mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group ..."
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mcmxciv This thesis deals with combinatorics in connection with Coxeter groups, finitely generated but not necessarily finite. The representation theory of groups as nonsingular matrices over a field is of immense theoretical importance, but also basic for computational group theory, where the group elements are data structures in a computer. Matrices are unnecessarily large structures, and part of this thesis is concerned with small and efficient representations of a large class of Coxeter groups (including most Coxeter groups that anyone ever payed any attention to.) The main contents of the thesis can be summarized as follows. • We prove that for all Coxeter graphs constructed from an n-path of unlabelled edges by adding a new labelled edge and a new vertex (sometimes two new edges and vertices), there is a permutational representation of the corresponding group. Group elements correspond to integer n-sequences and the nodes in the path generate all n! permutations. The extra node has a more complicated action, adding a certain quantity to some of the numbers.

RICE UNIVERSITY Regime Change: Sampling Rate vs. Bit-Depth in Compressive Sensing

by Jason Noah Laska , 2011
"... The compressive sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by exploiting inherent structure in natural and man-made signals. It has been demon-strated that structured signals can be acquired with just a small number of linear measurements, on the order of t ..."
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The compressive sensing (CS) framework aims to ease the burden on analog-to-digital converters (ADCs) by exploiting inherent structure in natural and man-made signals. It has been demon-strated that structured signals can be acquired with just a small number of linear measurements, on the order of the signal complexity. In practice, this enables lower sampling rates that can be more easily achieved by current hardware designs. The primary bottleneck that limits ADC sam-pling rates is quantization, i.e., higher bit-depths impose lower sampling rates. Thus, the decreased sampling rates of CS ADCs accommodate the otherwise limiting quantizer of conventional ADCs. In this thesis, we consider a different approach to CS ADC by shifting towards lower quantizer bit-depths rather than lower sampling rates. We explore the extreme case where each measurement is quantized to just one bit, representing its sign. We develop a new theoretical framework to analyze this extreme case and develop new algorithms for signal reconstruction from such coarsely quantized measurements. The 1-bit CS framework leads us to scenarios where it may be more appropriate to reduce bit-depth instead of sampling rate. We find that there exist two distinct regimes of operation that correspond to high/low signal-to-noise ratio (SNR). In the measurement

Composition du Jury

by Eric Chaumette, Cédric Richard, Professeur Universités, Yannick Berthoumieu, Professeur Universités, Pascal Chevalier Professeur, Pascal Larzabal, Professeur Universités
"... Caractérisation des problèmes conjoints de détection et d'estimation ..."
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Caractérisation des problèmes conjoints de détection et d'estimation

Acknowledgements

by Alejandro Houspanossian, Facultad De Ciencias Exactas , 2006
"... First, I would like to thank to Dimka Karastoyanova and Mariano Cilia for all the fruitful discussions, their guidance and support through the course of this project. Thanks also to Prof. Alejandro Buchmann who sponsored my stay at Technische Universität Darmstadt during the spring of 2004. The spec ..."
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First, I would like to thank to Dimka Karastoyanova and Mariano Cilia for all the fruitful discussions, their guidance and support through the course of this project. Thanks also to Prof. Alejandro Buchmann who sponsored my stay at Technische Universität Darmstadt during the spring of 2004. The special thanks go to my advisor, Mariano Cilia, who has made all this possible. Finally, I’d like to thank to my family for all these years of support.

TO CODE OR NOT TO CODE

by Présentée À La, Faculté Informatique, Et Communications, Section Des, Systèmes De Communication, Du Grade, De Docteur, Ès Sciences, Prof M. Vetterli, Prof B. Rimoldi, Prof R. Gallager, Prof A. Lapidoth, Prof J. Massey, Prof E. Telatar, Prof S. Verdú, Michael Gastpar, Amos Lapidoth, Jim Ma , 2002
"... de nationalité suisse et originaire de Zurich (ZH) et Lucerne (LU) acceptée sur proposition du jury: ..."
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de nationalité suisse et originaire de Zurich (ZH) et Lucerne (LU) acceptée sur proposition du jury:

and

by Beta Ziliani, Derek Dreyer, Neelakantan R. Krishnaswami, Aleksandar Nanevski , 2015
"... Effective support for custom proof automation is essential for large-scale interactive proof develop-ment. However, existing languages for automation via tactics either (a) provide no way to specify the behavior of tactics within the base logic of the accompanying theorem prover, or (b) rely on adva ..."
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on advanced type-theoretic machinery that is not easily integrated into established theorem provers. We present Mtac, a lightweight but powerful extension to Coq that supports dependently typed tactic programming. Mtac tactics have access to all the features of ordinary Coq programming, as well as a new set

Title: Banking System Stability. A Cross-Atlantic Perspective

by Mark Carey, René M. Stulz, Stefan Straetmans, Casper De
"... A particularly important sector for the stability of financial systems is the banking sector. Banks play a central role in the money creation process and in the payment system. Moreover, bank credit is an important factor in the financing of investment and growth. Faltering banking systems have ..."
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A particularly important sector for the stability of financial systems is the banking sector. Banks play a central role in the money creation process and in the payment system. Moreover, bank credit is an important factor in the financing of investment and growth. Faltering banking systems have

JEAN-LUC GENNISSON

by Universite Paris, Vi Pierre, Et Marie Curie, Espci Paristech, Habilitation A Diriger Des, Dr. Damien, Pr. Michel, Dr. Mickaël, Tanter Examinateur, Jean-luc Gennisson, H. D. R. Université, Paris Vi
"... RECHERCHES Elastographie par ondes de cisaillement ..."
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RECHERCHES Elastographie par ondes de cisaillement

List of Tables...........................

by Catherine Rose, Mills Olschanowsky, Catherine Rose, Mills Olschanowsky , 2011
"... by ..."
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Abstract not found

3esis Supervisor Accepted by

by Audio-based Localisation, Benjamin Christopher Dalton, V. Michael, Benjamin Christopher Dalton , 2005
"... in partial ful2llment of the requirements for the degree of ..."
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in partial ful2llment of the requirements for the degree of
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