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The Convenient Setting For Real Analytic Mappings
 ACTA MATHEMATICA
, 1990
"... We present here ”the” cartesian closed theory for real analytic mappings. It is based on the concept of real analytic curves in locally convex vector spaces. A mapping is real analytic, if it maps smooth curves to smooth curves and real analytic curves to real analytic curves. Under mild completenes ..."
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Cited by 14 (12 self)
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We present here ”the” cartesian closed theory for real analytic mappings. It is based on the concept of real analytic curves in locally convex vector spaces. A mapping is real analytic, if it maps smooth curves to smooth curves and real analytic curves to real analytic curves. Under mild completeness conditions the second requirement can be replaced by: real analytic along affine lines. Enclosed and necessary is a careful study of locally convex topologies on spaces of real analytic mappings. As an application we also present the theory of manifolds of real analytic mappings: the group of real analytic diffeomorphisms of a compact real analytic manifold is a real analytic Lie group.
THE CONVENIENT SETTING FOR QUASIANALYTIC DENJOY–CARLEMAN DIFFERENTIABLE MAPPINGS
"... Abstract. For quasianalytic Denjoy–Carleman differentiable function classes C Q where the weight sequence Q = (Qk) is logconvex, stable under derivations, of moderate growth and also an Lintersection (see (1.6)), we prove the ..."
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Cited by 1 (1 self)
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Abstract. For quasianalytic Denjoy–Carleman differentiable function classes C Q where the weight sequence Q = (Qk) is logconvex, stable under derivations, of moderate growth and also an Lintersection (see (1.6)), we prove the
A Convenient Set of Comoving Cosmological Variables and Their Application
, 1997
"... A set of cosmological variables, which we shall refer to as “supercomoving variables, ” are presented which are an alternative to the standard comoving variables, particularly useful for describing the gas dynamics of cosmic structure formation. For ideal gas with a ratio of specific heats γ = 5/3, ..."
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A set of cosmological variables, which we shall refer to as “supercomoving variables, ” are presented which are an alternative to the standard comoving variables, particularly useful for describing the gas dynamics of cosmic structure formation. For ideal gas with a ratio of specific heats γ = 5
WordNet: A Lexical Database for English
 COMMUNICATIONS OF THE ACM
, 1995
"... Because meaningful sentences are composed of meaningful words, any system that hopes to process natural languages as people do must have information about words and their meanings. This information is traditionally provided through dictionaries, and machinereadable dictionaries are now widely avail ..."
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Cited by 2254 (1 self)
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available. But dictionary entries evolved for the convenience of human readers, not for machines. WordNet 1 provides a more effective combination of traditional lexicographic information and modern computing. WordNet is an online lexical database designed for use under program control. English nouns, verbs
THE CONVENIENT SETTING FOR DENJOY–CARLEMAN DIFFERENTIABLE MAPPINGS OF BEURLING AND ROUMIEU TYPE
"... Abstract. We prove in a uniform way that all Denjoy–Carleman differentiable function classes of Beurling type C (M) and of Roumieu type C {M}, admit a convenient setting if the weight sequence M = (Mk) is logconvex and of moderate growth: For C denoting either C (M) or C {M} , the category of Cmap ..."
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Cited by 4 (4 self)
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Abstract. We prove in a uniform way that all Denjoy–Carleman differentiable function classes of Beurling type C (M) and of Roumieu type C {M}, admit a convenient setting if the weight sequence M = (Mk) is logconvex and of moderate growth: For C denoting either C (M) or C {M} , the category of C
THE CONVENIENT SETTING FOR NONQUASIANALYTIC DENJOY–CARLEMAN DIFFERENTIABLE MAPPINGS
"... Abstract. For Denjoy–Carleman differential function classes C M where the weight sequence M = (Mk) is logarithmically convex, stable under derivations, and nonquasianalytic of moderate growth, we prove the following: A mapping ..."
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Cited by 8 (8 self)
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Abstract. For Denjoy–Carleman differential function classes C M where the weight sequence M = (Mk) is logarithmically convex, stable under derivations, and nonquasianalytic of moderate growth, we prove the following: A mapping
On Language and Connectionism: Analysis of a Parallel Distributed Processing Model of Language Acquisition
 COGNITION
, 1988
"... Does knowledge of language consist of mentallyrepresented rules? Rumelhart and McClelland have described a connectionist (parallel distributed processing) model of the acquisition of the past tense in English which successfully maps many stems onto their past tense forms, both regular (walk/walked) ..."
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Cited by 415 (13 self)
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form, and an array of connections between the two sets of units whose strengths are modified during learning. Rumelhart and McClelland conclude that linguistic rules may be merely convenient approximate fictions and that the real causal processes in language use and acquisition must be characterized
MPI: A MessagePassing Interface Standard
, 1994
"... process naming to allow libraries to describe their communication in terms suitable to their own data structures and algorithms, ffl The ability to "adorn" a set of communicating processes with additional userdefined attributes, such as extra collective operations. This mechanism should ..."
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Cited by 410 (0 self)
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process naming to allow libraries to describe their communication in terms suitable to their own data structures and algorithms, ffl The ability to "adorn" a set of communicating processes with additional userdefined attributes, such as extra collective operations. This mechanism should
Parameterisation of a Stochastic Model for Human Face Identification
, 1994
"... Recent work on face identification using continuous density Hidden Markov Models (HMMs) has shown that stochastic modelling can be used successfully to encode feature information. When frontal images of faces are sampled using topbottom scanning, there is a natural order in which the features appe ..."
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Cited by 398 (0 self)
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appear and this can be conveniently modelled using a topbottom HMM. However, a topbottom HMM is characterised by different parameters, the choice of which has so far been based on subjective intuition. This paper presents a set of experimental results in which various HMM parameterisations are analysed.
Data Structures and Algorithms for Nearest Neighbor Search in General Metric Spaces
, 1993
"... We consider the computational problem of finding nearest neighbors in general metric spaces. Of particular interest are spaces that may not be conveniently embedded or approximated in Euclidian space, or where the dimensionality of a Euclidian representation is very high. Also relevant are highdim ..."
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Cited by 358 (5 self)
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We consider the computational problem of finding nearest neighbors in general metric spaces. Of particular interest are spaces that may not be conveniently embedded or approximated in Euclidian space, or where the dimensionality of a Euclidian representation is very high. Also relevant are high
Results 1  10
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