This paper gives a new mode boundary approach for cluster analysis, based on mathematical concepts. It consists of a fast Parzen estimation of the underlying p.d.f. and a smoothing using numerical morphological transformation. The performance of this approach, with respect to a defined classification rule, is demonstrated on SM Higgs boson identification using generated LHC events.

A method is presented for convergence acceleration of the generalized hypergeometric series 3F2 with the argument ±1 , using analytic properties of their terms. Iterated transformation of the series is performed analytically, which results in obtaining new fast converging expansions for some special functions and mathematical constants.

The enveloping grasp feasibility inequality is formulated in this article using a coordinate transformation based on the concept of frictional degrees-of-freedom. Various analysis and synthesis problems pertinent to enveloping grasp of whole-limb systems can be handled within the same mathematical framework, even under the situation where statically indeterminate contact forces exists. Simulati...

This paper presents a general method for synchronising digitised video data using a mathematical approach based upon the direct linear transformation reconstruction technique. The method was tested using digitised data from genlocked video recordings of gymnastic vaulting, tumbling, high bar and rings. The mean synchronisation error was less than 0.002 s for vaulting and less than 0.001 s for t...

Pips is an experimental tool to implement and evaluate various inter-procedural compilation, parallelization, analysis and optimization techniques. This paper focuses on the workbench used to build these compilers. It includes the management of data structures, of dependences between the various analysis and transformation phases, and the mathematical libraries used to implement some of the mos...

Mathematical justifications are given for a simulation technique of multivariate nonGaussian random processes and fields based on Rosenblatt’s transformation of Gaussian processes. Different types of convergences are given for the approaching sequence. Moreover an original numerical method is proposed in order to solve the functional equation yielding the underlying Gaussian process autocorrela...

Generalisation is a major 'open' problem in theorem-proving which must often be addressed when attempting automation of proofs involving mathematical induction. This paper proposes a new, uniform method of generalisation, involving the transformation of proofs, which encompasses many different types of generalisation and which may succeed when other methods fail.

The fundamentals of catalyst deactivation are presented in this review. The chemico-physical aspects concerning the various deactivation causes (i.e. poisoning, sintering, coking, solid-state transformation, masking, etc.) have been analyzed and discussed, along with the mathematical description of the deactivation phenomena. # 1999 Elsevier Science B.V. All rights

1.1 Duality is a frequently occurring principle for understanding a mathematical structure. The Fourier transformation is a classical example which leads to the Pontryagin duality of topological abelian groups. A more geometric example is the Fourier-Mukai ∗Mathematisches Institut, Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, GERMANY, [email protected], [email protected] s...

In the context of modified gravity, we point out how the Palatini version of these theories is singled out as a very special case corresponding to the unique fixed point of a transformation involving a special conformal rescaling of the metric. This mathematical peculiarity signals deeply rooted problems which make the theory unphysical. PACS: 04.50+h, 04.20.Cv, 04.20.Fy, 04.90.+e.