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Some Algebraic and Geometric Computations in PSPACE
, 1988
"... We give a PSPACE algorithm for determining the signs of multivariate polynomials at the common zeros of a system of polynomial equations. One of the consequences of this result is that the “Generalized Movers ’ Problem ” in robotics drops from EXPTIME into PSPACE, and is therefore PSPACEcomplete ..."
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Cited by 168 (2 self)
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complete by a previous hardness result CRei]. We also show that the existential theory of the real numbers can be decided in PSPACE. Other geometric problems that also drop into PSPACE include the 3d Euclidean Shortest Path Problem, and the “2d Asteroid Avoidance Problem” described in TRSI. Our method
Selforganisation in Vowel Systems
, 1999
"... XIII SAMENVATTING XV ACKNOWLEDGEMENTS XVII 1. INTRODUCTION 1 1.1 The Aims 1 1.2 The Contributions 3 1.3 The Background 4 1.4 The Model 4 1.5 The Results 5 1.6 How to Read the Thesis 6 2. THE THEORETICAL BACKGROUND 9 2.1 Universal Tendencies of Human Sound Systems 9 2.1.1 Regularities of systems of s ..."
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Cited by 189 (10 self)
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XIII SAMENVATTING XV ACKNOWLEDGEMENTS XVII 1. INTRODUCTION 1 1.1 The Aims 1 1.2 The Contributions 3 1.3 The Background 4 1.4 The Model 4 1.5 The Results 5 1.6 How to Read the Thesis 6 2. THE THEORETICAL BACKGROUND 9 2.1 Universal Tendencies of Human Sound Systems 9 2.1.1 Regularities of systems
Coil sensitivity encoding for fast MRI. In:
 Proceedings of the ISMRM 6th Annual Meeting,
, 1998
"... New theoretical and practical concepts are presented for considerably enhancing the performance of magnetic resonance imaging (MRI) by means of arrays of multiple receiver coils. Sensitivity encoding (SENSE) is based on the fact that receiver sensitivity generally has an encoding effect complementa ..."
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Cited by 193 (3 self)
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, sampling along a Cartesian grid in kspace corresponding to standard Fourier imaging with reduced FOV. Owing to the underlying principle, the concepts outlined in this work have been named SENSE, short for SENSitivity Encoding (810). Together with SENSE theory and methods, a detailed SNR analysis
Selfdetermination and persistence in a reallife setting: Toward a motivational model of high school dropout.
 Journal of Personality and Social Psychology,
, 1997
"... The purpose of this study was to propose and test a motivational model of high school dropout. The model posits that teachers, parents, and the school administration's behaviors toward students influence students' perceptions of competence and autonomy. The less autonomy supportive the so ..."
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Cited by 183 (19 self)
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, which underlie the motivational model of high school dropout. Method Participants Participants were 4,537 9thand lOthgrade FrenchCanadian students (2,280 boys and 2,245 girls; 12 did not indicate their gender). Participants had a mean age of 14.97 years and came from seven Montreal public high
ALGEBRAIC ALGORITHMS1
, 2012
"... This is a preliminary version of a Chapter on Algebraic Algorithms in the up ..."
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This is a preliminary version of a Chapter on Algebraic Algorithms in the up
Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance
, 2001
"... The number of steps any classical computer requires in order to find the prime factors of an ldigit integer N increases exponentially with l, at least using algorithms [1] known at present. Factoring large integers is therefore conjectured to be intractable classically, an observation underlying th ..."
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Cited by 150 (4 self)
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[8, 9, 10]. Here we report an implementation of the simplest instance of Shor’s algorithm: factorization of N=15 (whose prime factors are 3 and 5). We use seven spin1/2 nuclei in a molecule as quantum bits [11, 12], which can be manipulated with room temperature liquid state nuclear magnetic
ALGEBRAS
"... A b s t r a c t. Formulas for computing the number of Df2algebra structures that can be defined over Bn, where Bn is the Boolean algebra with n atoms, as well as the fine spectrum of Df2 are obtained. Properties of the lattice of all subvarieties of Df2, Λ(Df2), are exhibited. In particular, the po ..."
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A b s t r a c t. Formulas for computing the number of Df2algebra structures that can be defined over Bn, where Bn is the Boolean algebra with n atoms, as well as the fine spectrum of Df2 are obtained. Properties of the lattice of all subvarieties of Df2, Λ(Df2), are exhibited. In particular
und Computeralgebra (CDC) Algebraic methods in analyzing lightweight cryptographic symmetric primitives
"... Algebraic methods in analyzing ..."
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