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358
UNITARY PRINCIPLE AND REAL SOLUTION OF DIRAC EQUATION
, 908
"... Abstract. The exact solution of the Dirac equation with the exact boundary condition is further investigated in the present paper. We introduce the unitary principle that can be used to disclose all logic paradoxes hidden in natural science and mathematics. By the unitary principle, we show that the ..."
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Abstract. The exact solution of the Dirac equation with the exact boundary condition is further investigated in the present paper. We introduce the unitary principle that can be used to disclose all logic paradoxes hidden in natural science and mathematics. By the unitary principle, we show
A Theory of Focus Interpretation
"... More or less final version. To appear in Natural Language Semantics. According to the alternative semantics for focus, the semantic reflex of intonational focus is a second semantic value, which in the case of a sentence is a set of propositions. We examine a range of semantic and pragmatic applicat ..."
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Cited by 488 (6 self)
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applications of the theory, and extract a unitary principle specifying how the focus semantic value interacts with semantic and pragmatic processes. A strong version of the theory has the effect of making lexical or constructionspecific stipulation of a focusrelated effect in association with focus
Factoring wavelet transforms into lifting steps
 J. FOURIER ANAL. APPL
, 1998
"... This paper is essentially tutorial in nature. We show how any discrete wavelet transform or two band subband filtering with finite filters can be decomposed into a finite sequence of simple filtering steps, which we call lifting steps but that are also known as ladder structures. This decompositio ..."
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Cited by 584 (8 self)
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present here a selfcontained derivation, building the decomposition from basic principles such as the Euclidean algorithm, with a focus on applying it to wavelet filtering. This factorization provides an alternative for the lattice factorization, with the advantage that it can also be used
Cayley differential unitary spaceâ€“time codes
 IEEE Trans. Inform. Theory
, 2002
"... One method for communicating with multiple antennas is to encode the transmitted data differentially using unitary matrices at the transmitter, and to decode differentially without knowing the channel coefficients at the receiver. Since channel knowledge is not required at the receiver, differential ..."
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Cited by 80 (8 self)
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One method for communicating with multiple antennas is to encode the transmitted data differentially using unitary matrices at the transmitter, and to decode differentially without knowing the channel coefficients at the receiver. Since channel knowledge is not required at the receiver
Conjunctive Representations in Learning and Memory: Principles of Cortical and Hippocampal Function
 PSYCHOLOGICAL REVIEW
, 2001
"... We present a theoretical framework for understanding the roles of the hippocampus and neocortex in learning and memory. This framework incorporates a theme found in many theories of hippocampal function, that the hippocampus is responsible for developing conjunctive representations binding together ..."
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Cited by 161 (12 self)
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stimulus elements into a unitary rep resentation that can later be recalled from partial input cues. This idea appears problematic, however, because it is contradicted by the fact that hippocampally lesioned rats can learn nonlinear discrimination problems that require conjunctive representations. Our
Dual Gramian analysis: duality principle and unitary extension principle
 Mathematics of Computation
"... Gramian analysis, the frame operator can be represented as a family of matrices composed of the Fourier transforms of the generators of (generalized) shiftinvariant systems, which allows us to characterize most properties of frames and tight frames in terms of their generators. Such a characteriza ..."
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Cited by 3 (2 self)
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characterization is applied in the abovementioned papers to two widely used frame systems, namely Gabor and wavelet frame systems. Among many results, we mention here the discovery of the duality principle for Gabor frames [40] and the unitary extension principle for wavelet frames [38]. This paper aims
TwoBit Gates Are Universal for Quantum Computation
, 1995
"... A proof is given, which relies on the commutator algebra of the unitary Lie groups, that quantum gates operating on just two bits at a time are sufficient to construct a general quantum circuit. The best previous result had shown the universality of threebit gates, by analogy to the universality of ..."
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Cited by 182 (9 self)
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A proof is given, which relies on the commutator algebra of the unitary Lie groups, that quantum gates operating on just two bits at a time are sufficient to construct a general quantum circuit. The best previous result had shown the universality of threebit gates, by analogy to the universality
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
An Operator Formalism for Unitary Matrix Models
, 1991
"... We analyze the double scaling limit of unitary matrix models in terms of trigonometric orthogonal polynomials on the circle. In particular we find a compact formulation of the string equation at the k th multicritical point in terms of pseudodifferential operators and a corresponding action princip ..."
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Cited by 6 (5 self)
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We analyze the double scaling limit of unitary matrix models in terms of trigonometric orthogonal polynomials on the circle. In particular we find a compact formulation of the string equation at the k th multicritical point in terms of pseudodifferential operators and a corresponding action
Results 1  10
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358