Search results for "predicate"
showing 10 items of 216 documents
Beitrag zum Divisionsproblem for Ultradistributionen und ein Fortsetzungssatz
1979
In this note we give a characterization of ultradistributions, which are supported by a single point. As a consequence we get a necessary condition for the solvability of the division problem for ultradistributions similar to the well-known condition in the case of distributions (cf. Malgrange [12]). Finally an extension theorem for ultradistributions is proved, using exponential growth conditions, that generalize the condition of Lojasiewicz [11].
On Drazin invertibility
2008
The left Drazin spectrum and the Drazin spectrum coincide with the upper semi-B-Browder spectrum and the B-Browder spectrum, respectively. We also prove that some spectra coincide whenever T or T* satisfies the single-valued extension property.
Some Remarks on the Spectral Properties of Toeplitz Operators
2019
In this paper, we study some local spectral properties of Toeplitz operators $$T_\phi $$ defined on Hardy spaces, as the localized single-valued extension property and the property of being hereditarily polaroid.
Fractional differential equations and related exact mechanical models
2013
Creep and relaxation tests, performed on various materials like polymers, rubbers and so on are well-fitted by power-laws with exponent β ∈ [0, 1] (Nutting (1921), Di Paola et al. (2011)). The consequence of this observation is that the stress-strain relation of hereditary materials is ruled by fractional operators (Scott Blair (1947), Slonimsky (1961)). A large amount of researches have been performed in the second part of the last century with the aim to connect constitutive fractional relations with some mechanical models by means of fractance trees and ladders (see Podlubny (1999)). Recently, Di Paola and Zingales (2012) proposed a mechanical model that corresponds to fractional stress-…
Motivic matching strategies for automated pattern extraction
2007
This article proposes an approach to the problem of automated extraction of motivic patterns in monodies. Different musical dimensions, restricted in current approaches to the most prominent melodic and rhythmic features at the surface level, are defined. The proposed strategy of detection of repeated patterns consists of an exact matching of the successive parameters forming the motives. We suggest a generalization of the multiple-viewpoint approach that allows a variability of the types of parameters (melodic, rhythmic, etc.) defining each successive extension of these motives. This enables us to take into account a more general class of motives, called heterogeneous motives, which inclu…
Character correspondences in blocks with normal defect groups
2014
Abstract In this paper we give an extension of the Glauberman correspondence to certain characters of blocks with normal defect groups.
Are There Essentially Incomplete Knowledge Representation Systems?
2001
A mathematical model of a knowledge representation system (KR-system) is proposed. Its prototype is the concept of an information system in the sense of Z. Pawlak; however, the model is, in fact, a substantial extension of the latter. In our model, attributes may form an arbitrary category, where morphisms represent built-in functional dependencies, and uncertainty of knowledge is treated in terms of category theory via monads. Several notions of simulation are also considered for such KR-systems. In this general setting, the semiphilosophical problem mentioned in the title, still open, is given a precise meaning.
An integrated architecture for speech-input multi-target machine translation
2007
The aim of this work is to show the ability of finite-state transducers to simultaneously translate speech into multiple languages. Our proposal deals with an extension of stochastic finite-state transducers that can produce more than one output at the same time. These kind of devices offer great versatility for the integration with other finite-state devices such as acoustic models in order to produce a speech translation system. This proposal has been evaluated in a practical situation, and its results have been compared with those obtained using a standard mono-target speech transducer.
Speech-input multi-target machine translation
2007
In order to simultaneously translate speech into multiple languages an extension of stochastic finite-state transducers is proposed. In this approach the speech translation model consists of a single network where acoustic models (in the input) and the multilingual model (in the output) are embedded. The multi-target model has been evaluated in a practical situation, and the results have been compared with those obtained using several mono-target models. Experimental results show that the multi-target one requires less amount of memory. In addition, a single decoding is enough to get the speech translated into multiple languages.
A New Combinatorial Approach to Sequence Comparison
2008
In this paper we introduce a new alignment-free method for comparing sequences which is combinatorial by nature and does not use any compressor nor any information-theoretic notion. Such a method is based on an extension of the Burrows-Wheeler Transform, a transformation widely used in the context of Data Compression. The new extended transformation takes as input a multiset of sequences and produces as output a string obtained by a suitable rearrangement of the characters of all the input sequences. By using such a transformation we give a general method for comparing sequences that takes into account how much the characters coming from the different input sequences are mixed in the output…