Expressions for the multi-dimensional densities of Brownian bridge local time are derived by two different methods: A direct method based on Kac’s formula for Brownian functionals and an indirect one based on a limit theorem for strata of random mappings.

We present a direct method of construction of a morphosyntactic guesser for Polish, which is a program producing morphosyntactic descriptions for word forms unknown to the morphological analyser. The core of the method is the construction of a statistical a tergo index, in which pseudo-suffixes (endings) extracted by a statistical tree define morpho-syntactic properties of corresponding word fo...

We address the problem of recovering the motion of a monocular observer relative to a rigid scene. We do not make any assumptions about the shapes of the surfaces in the scene, nor do we use estimates of the optical flow or point correspondences. Instead, we exploit the spatial gradient and the time rate of change of brightness over the whole image and explicitly impose the constraint that the ...

The role of direct methods in macromolecular crystallography is discussed. The common belief that such methods will still remain marginal is rejected. Different sectors are analyzed. A direct procedure for phasing reflections when diffraction data of one isomorphous derivative are available is briefly described. The applications to experimental data of some test structures succeeded, and sugges...

An N = 1 supersymmetric system is constructed and its integrability is shown by obtaining three soliton solutions for it using the supersymmetric version of Hirota’s direct method.

A q-discrete version of the two-dimensional Toda molecule equation is proposed through the direct method. Its solution, Bäcklund transformation and Lax pair are discussed. The reduction to the q-discrete cylindrical Toda molecule equation is also discussed. 1 On leave from Department of Applied Mathematics, Faculty of Engineering, Hiroshima University. 1

Building on Hrushovski’s work in [5], we study definable groupoids in stable theories and their relationship with 3-uniqueness and finite internal covers. We introduce the notion of retractability of a definable groupoid (which is slightly stronger than Hrushovski’s notion of eliminability), give some criteria for when groupoids are retractable, and show how retractability relates to both 3-uni...

In the present paper we find new constructions of orthonormal multiresolution analyses on the triangle ∆. In the first one, we describe a direct method to define an orthonormal multiresolution analysis R which is adapted for the study of the Sobolev spaces H 0(∆) (s ∈ N). In the second one, we add boundary conditions for constructing an orthonormal multiresolution analysis which is adapted for ...

In this paper we describe a method for analysing video sequences and for representing them as mosaics or panoramas. Previous work on video mosaicking essentially concentrated on static scenes. We generalise these approaches to the case of a rotating camera observing both static and moving objects where the static portions of the scene are not necessarily dominant, as it has been often hypothesi...