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LexicalFunctional Grammar: A Formal System for Grammatical Representation
 IN: FORMAL ISSUES IN LEXICALFUNCTIONAL GRAMMAR
, 1995
"... In learning their native language, children develop a remarkable set of capabilities. They acquire knowledge and skills that enable them to produce and comprehend an indefinite number of novel utterances, and to make quite subtle judgments about certain of their properties. The major goal of psychol ..."
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Cited by 609 (23 self)
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In learning their native language, children develop a remarkable set of capabilities. They acquire knowledge and skills that enable them to produce and comprehend an indefinite number of novel utterances, and to make quite subtle judgments about certain of their properties. The major goal
Capacity of a Mobile MultipleAntenna Communication Link in Rayleigh Flat Fading
"... We analyze a mobile wireless link comprising M transmitter and N receiver antennas operating in a Rayleigh flatfading environment. The propagation coefficients between every pair of transmitter and receiver antennas are statistically independent and unknown; they remain constant for a coherence int ..."
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Cited by 495 (22 self)
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independent matrices: a T T isotropically distributed unitary matrix times a certain T M random matrix that is diagonal, real, and nonnegative. This result enables us to determine capacity for many interesting cases. We conclude that, for a fixed number of antennas, as the length of the coherence interval
The homogeneous coordinate ring of a toric variety
, 1992
"... This paper will introduce the homogeneous coordinate ring S of a toric variety X. The ring S is a polynomial ring with one variable for each onedimensional cone in the fan ∆ determining X, and S has a natural grading determined by the monoid of effective divisor classes in the Chow group An−1(X) of ..."
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Cited by 474 (7 self)
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) of X (where n = dim X). Using this graded ring, we will show that X behaves like projective space in many ways. The paper is organized into four sections as follows. In §1, we define the homogeneous coordinate ring S of X and compute its graded pieces in terms of global sections of certain coherent
Braid group actions on derived categories of coherent sheaves
 DUKE MATH. J
, 2001
"... This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety X. The motivation for this is M. Kontsevich’s homological mirror conjecture, together with the occurrence of certain braid group actions in symplectic geometry. One of the main results is ..."
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Cited by 255 (8 self)
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This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety X. The motivation for this is M. Kontsevich’s homological mirror conjecture, together with the occurrence of certain braid group actions in symplectic geometry. One of the main results
A quasicoherent sheaf . . .
, 2010
"... These are a bunch of notes taken to help myself learn algebraic geometry. My main sources are Harsthorne, FAC, and EGA. The organization is very much like EGA 0, since that’s kind of where I started. The notes ..."
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These are a bunch of notes taken to help myself learn algebraic geometry. My main sources are Harsthorne, FAC, and EGA. The organization is very much like EGA 0, since that’s kind of where I started. The notes
Representations of Rigid Solids: Theory, Methods, and Systems
 ACM Computing Surveys
, 1980
"... Computerbased ystems for modehng the geometry ofrigid solid objects are becoming increasingly important inmechanical nd civil engineering, architecture, computer graphics, computer vision, and other fields that deal with spatial phenomena. At the heart of such systems are symbol structures (represe ..."
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Cited by 256 (2 self)
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are the difficulties in assessing current designs, pecifying the characteristics that future systems should exhibit, and designing systems t9 meet such specifications. This paper esolves many of these difficulties by providing a coherent view, based on sound theoretical principles, of what is presently known about he
A SignalProcessing Framework for Inverse Rendering
 In SIGGRAPH 01
, 2001
"... Realism in computergenerated images requires accurate input models for lighting, textures and BRDFs. One of the best ways of obtaining highquality data is through measurements of scene attributes from real photographs by inverse rendering. However, inverse rendering methods have been largely limit ..."
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Cited by 248 (21 self)
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limited to settings with highly controlled lighting. One of the reasons for this is the lack of a coherent mathematical framework for inverse rendering under general illumination conditions. Our main contribution is the introduction of a signalprocessing framework which describes the reflected light
Sheaf cohomology and free resolutions over the exterior algebras
, 2003
"... We derive an explicit version of the BernsteinGel’fandGel’fand (BGG) correspondence between bounded complexes of coherent sheaves on projective space and minimal doubly infinite free resolutions over its “Koszul dual ” exterior algebra. Among the facts about the BGG correspondence that we derive ..."
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Cited by 75 (20 self)
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We derive an explicit version of the BernsteinGel’fandGel’fand (BGG) correspondence between bounded complexes of coherent sheaves on projective space and minimal doubly infinite free resolutions over its “Koszul dual ” exterior algebra. Among the facts about the BGG correspondence that we
SHEAF REPRESENTATION OF NORMED SPACES
"... Abstract. A multisorted limtheory, which has as Setvalued models all normed spaces over some specified fields, is introduced. We show that coherent extensions of this limtheory are expressive enough to characterise, for example, the Lpspaces. The sheafvalued spectra, corresponding to the cohe ..."
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Abstract. A multisorted limtheory, which has as Setvalued models all normed spaces over some specified fields, is introduced. We show that coherent extensions of this limtheory are expressive enough to characterise, for example, the Lpspaces. The sheafvalued spectra, corresponding
Spectral measures of risk: A coherent representation of subjective risk aversion
"... We study a space of coherent risk measures M / obtained as certain expansions of coherent elementary basis measures. In this space, the concept of ‘‘risk aversion function’ ’ / naturally arises as the spectral representation of each risk measure in a space of functions of confidence level probabili ..."
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Cited by 161 (1 self)
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We study a space of coherent risk measures M / obtained as certain expansions of coherent elementary basis measures. In this space, the concept of ‘‘risk aversion function’ ’ / naturally arises as the spectral representation of each risk measure in a space of functions of confidence level
Results 1  10
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2,164