1.1. Summary. This paper is essentially a continuation of [3], where we introduced a (standard) simplicial localization functor, which assigned to every category C and subcategory W c C, a simpficiaf category LC with in each dimension the same objects as C (i.e. for every two objects X, YE C, the maps X -+ YE LC form a simplicial set LC(X, Y)). This simplicial localization has all kinds of nice...

We deduce a classification of all special types of nonholonomic 3-jets. In the introductory part, we summarize the basic properties of nonholonomic r-jets. Generally speaking, a very attractive phenomenon of the problem of classifying the special types of nonholonomic 3-jets is that its solution is heavily based on the Weil algebra technique, even though no algebras appear in the formulation of...

MAP Structured Output Prediction by Sampling Shankar Vembu, Thomas Gärtner, and Mario Boley [email protected] Fraunhofer IAIS, Schloß Birlinghoven, 53754 Sankt Augustin, Germany We consider maximum a posteriori parameter estimation for structured output prediction with exponential family models. In this setting the main difficulty lies in the computation of the partition fun...

*Correspondence: [email protected] Faculty of Informatics, University of Debrecen, P.O. Box 400, Debrecen, 4002, Hungary 1 Erratum In the publication of this article [], there were two errors. ) The error in Section . Exponential inequalities and their consequences: ‘(a)X(b) = –aI{X < a} +XIa≤ |X| ≤ b + bI{X > b}.’ Should instead read: ‘(a)X(b) = aI{X < a} +XIa≤ X ≤ b + bI{X > b}...

`=1 ∫ |x|>ε |x| μn`(dx) = 0 for all ε > 0, where x 7→ |x| denotes a fixed homogeneous norm on the Heisenberg group. Professor E. Siebert suggested a way to prove similar results for a Lie group G. The main step is the generalization of Lemma 1 in Pap [4] for an arbitrary Lie group G, which gives an estimation for the Fourier transform of a probability measure on G in terms of integrals of local...

By a Calabi-Yau threefold we mean a minimal complex projective threefold X such that O X (K X) ' O X and h 1 (O X) = 0. This paper consists of four parts. In Section 1 we formulate an equivariant version of Torelli Theorem of K3 surface with a nite group action and deduce some more geometrical consequences. In Section 2, we classify Calabi-Yau threefolds with innnite fundamental group by means ...

In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross surface flow in the Euler equations (incompressible for the fluid and compressible for the gas). The obtained system is conditionally hyperbolic. Then, we p...

This paper reviews a cyclic scheduling model of repetitive manufacturing environments consisting of exible machines and multi-stage jobs. We explicitly model two system performance measures, throughput and ow time, while incorporating variability arising from uncertainty in operation processing times. We present an iterative approximation scheme to estimate the two moment behavior of our perfor...

one gets the first actual formula for 7r that mankind ever discovered, dating from 1593 and due to Frangois Viete (1540-1603), whose Latinized name is Vieta. (Was any notice taken of the formula's 400th anniversary, perhaps by the issue of a postage stamp?) From the samples of a function t(x) at equally spaced points x", n E z, one can reconstruct the complete function with the aid of sin x/x, ...

The longitudinal structure function FL is directly sensitive to the gluon content of the proton and is therefore crucial to the understanding of the proton structure and to the determination of the gluon distribution, in particular at low momentum transfer Q and low Bjorken x. For high inelasticity y the FL contribution to the reduced deep inelastic scattering (DIS) cross section becomes signif...