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An explicit description of the Dennis trace map
"... For any split exact category C, we give an explicit description of the Dennis trace map, from Waldhausen's Sconstruction for C to the additive cyclic nerve of C. Introduction This paper is motivated by a conjecture of Loday, Geller and Weibel [2] on the compatibility of the Dennis trace map w ..."
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For any split exact category C, we give an explicit description of the Dennis trace map, from Waldhausen's Sconstruction for C to the additive cyclic nerve of C. Introduction This paper is motivated by a conjecture of Loday, Geller and Weibel [2] on the compatibility of the Dennis trace map
EXPLICIT DESCRIPTION OF COMPRESSED LOGARITHMS OF ALL DRINFELD ASSOCIATORS
, 2004
"... Drinfeld associator is a key tool in computing the Kontsevich integral of knots. A Drinfeld associator is a series in two noncommuting variables, satisfying highly complicated algebraic equations — hexagon and pentagon. The logarithm of a Drinfeld associator lives in the Lie algebra L generated by ..."
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by the symbols a, b, c modulo [a, b] = [b, c] = [c, a]. We describe explicitly the images of the logarithms of all Drinfeld associators in a completion of the quotient L / [ [L, L], [L, L] ]. The main ingredient of our proofs is an explicit form of CambellBakerHausdorff formula in the case when all
4. An Explicit Description of a Special Flow 223
, 1989
"... Abstract. We present and study Poincareinvariant generalizations of the Galileiinvariant Toda systems. The classical nonperiodic systems are solved by means of an explicit actionangle transformation. Contents ..."
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Abstract. We present and study Poincareinvariant generalizations of the Galileiinvariant Toda systems. The classical nonperiodic systems are solved by means of an explicit actionangle transformation. Contents
Explicit Description of a Class of Indecomposable Injective Modules*
"... Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p) 6 = 0. In this note, we describe the explicit structure of the injective envelope of the Rmodule R/p. ..."
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Let R be a commutative Noetherian ring and p be a prime ideal of R such that the ideal pRp is principal and ht(p) 6 = 0. In this note, we describe the explicit structure of the injective envelope of the Rmodule R/p.
An explicit description of some surfaces of degree 8
 in P5 . Le Matematiche, 53:99–112
, 1988
"... Many mathematicians have studied the classi�cation by the degree d ofembedded smooth projective varieties (see for instance [1], [3], [5], [6], [8],[9]). For d ≤ 6 Inonescu gave a complete list ([5],[6]). Later on the sameauthor ([7]) broadened the classi�cation of smooth projective varieties up tod ..."
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Many mathematicians have studied the classi�cation by the degree d ofembedded smooth projective varieties (see for instance [1], [3], [5], [6], [8],[9]). For d ≤ 6 Inonescu gave a complete list ([5],[6]). Later on the sameauthor ([7]) broadened the classi�cation of smooth projective varieties up todegree 8. In particular, he constructed ([7]; 4.2) a smooth projective surface ofdegree 8 in P5 using Reiders Theorem in the following way: Let X be a geometrically ruled surface over a curve of genus 2 withinvariant e = −2 and let H ≡ C0+3F where C0 and F are the generatorsof the Picard group of X. Then, by Reiders Theorem H is very ample andtherefore embeds X as a smooth projective surface in P5. It is well known that if X is a geometrically ruled surface over a curve C,then there exists a locally free sheaf E of rank two on C such that X = P(E).This gives rise the following question: Which are the vector bundles E over a curve C of genus 2 such thatX = P(E) is the surface described by Ionescu and when does OP(E)(1)embed X in P5 as a smooth surface of degree 8?
An explicit description of positive Riesz distributions on homogeneous cones
"... the Lorentz cone, are the analytic continuation of the distribution dened by a relatively invariant measure on a homogeneous cone. In general, Riesz distributions are compositions of complex measures supported by the closure of the cone with differential operators. Gindikin [3] describes when the ..."
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the Lorentz cone, are the analytic continuation of the distribution dened by a relatively invariant measure on a homogeneous cone. In general, Riesz distributions are compositions of complex measures supported by the closure of the cone with differential operators. Gindikin [3] describes when the Riesz distribution is a positive
An explicit description of the reproducing kernel Hilbert spaces of Gaussian RBF kernels
 IEEE Trans. Inform. Theory
, 2005
"... Although Gaussian RBF kernels are one of the most often used kernels in modern machine learning methods such as support vector machines (SVMs), little is known about the structure of their reproducing kernel Hilbert spaces (RKHSs). In this work we give two distinct explicit descriptions of the RKHSs ..."
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Cited by 34 (3 self)
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Although Gaussian RBF kernels are one of the most often used kernels in modern machine learning methods such as support vector machines (SVMs), little is known about the structure of their reproducing kernel Hilbert spaces (RKHSs). In this work we give two distinct explicit descriptions
Results 1  10
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