Method to Control Multiple Segmented LLSM without Position Encoder

<span lang="EN-GB">In recent years long stator linear synchronous motors (LLSM) started to replace the typical rotating to linear converters like belts, chains, screw systems, pulleys, disks and so on. With LLSM a lot of drawbacks in the machine concepts and design can be prevented. For long tracks, reducing reactive power and individual control of numerous moveable units, the track is segmented in several fed stator units. Because of the LLSM construction an operation with a physical position encoder is not desirable. For that reason position observers should be used instead. In this paper a method to control the multiple segmented LLSM without position encoder is proposed. The special behaviour during entrance and exit of one moveable unit in an active stator segment is described and the control concept via a master slave relationship is proposed. Experimental results are presented to demonstrate the performance and feasibility of the proposed method.</span>

Smoothing cones over K3 surfaces

International audience We prove that the affine cone over a general primitively polarised K3 surface of genus g is smoothable if and only if g ≤ 10 or g = 12. We also give several examples of singularities with special behaviour, such as surfaces whose affine cone is smoothable even though the projective cone is not. Nous montrons que le cône affine sur une surface K3 primitivement polarisée générale de genre g est lissable si et seulement si g≤ 10 ou g = 12. Nous exhibons également plusieurs exemples de singularités affichant des comportements spécifiques, tels que des surfaces dont le cône affine est lissable alors même que le cône projectif ne l'est pas.

The locative syntax of Experiencers. The case study of phraseological units as psych-predicates

The name psych-verbs is commonly assigned to verbs denoting mental or emotional states, such as fear, worry, frighten, or surprise. Such verbs select a participant/an individual who experiences an emotional or mental state, usually referred to as an Experiencer, and a non-Experiencer argument, sometimes called stimulus, trigger of emotion, causer or target/subject matter, or subsumed under the label of ‘theme’ (Landau, 2010, p. 5). The special behaviour of Experiencers, related to the so-called ‘psych effects’, is the reason why psychological predicates have been a subject of debate in theoretical syntax for several decades. The aim of this study is to check whether English verbal phraseological units, which denote a psychological condition of an Experiencer and occur with locative Prepositional Phrases (PPs), may serve as evidence for Landau’s (2010, p. 6) hypothesis of ‘Experiencers as mental locations’. Landau’s theory has been chosen since it covers a much broader variety of data, in comparison with the previous approaches, offered by Belletti & Rizzi (1988), Grimshaw (1990), and Pesetsky (1995), among others. The data analysed in the paper have been extracted from English dictionaries of idiomatic expressions, supported with the COCA Corpus. The study focuses on Object Experiencer verbal phraseological units that display a structure V + PP. The results of the study reveal that, in total, out of 3,000 tokens, there are only 50 psychological verbal idiomatic expressions with an Object Experiencer. However, the data show that a lexical P with the Experiencer as an object appears only in 13 (26%) idiomatic expressions out of the 50, whereas 37 items (74%) include an Experiencer preceded with no P. The latter might be treated as exhibiting an oblique Experiencer with a null preposition. However, no relevant syntactic evidence can be found in support the claim that there is a covert P in this type of phrase. Therefore, the results do not provide enough evidence in favour of Landau’s (2010) theory of Experiencers as mental locations, placed either in a covert or overt PP.

Osteoid Osteoma Mimicking Triangular Fibrocartilage Complex Injury: Diagnosis and Review of Treatment

We report the case of osteoid osteoma (OO) with ulnar styloid involvement. A review of the literature has been made with the aim of defining the special behaviour of OO when it is near the articular surface. That behaviour can affect the diagnosis, masking the real etiology of the pain, delaying the diagnosis, missing the diagnosis, or what is more serious, conducting an inadequate treatment. We propose a treatment algorithm conducted based on the localization near or far from articular surface and the superficial or deep localization.

INVERSE BORN APPROXIMATION FOR THE GENERALIZED NONLINEAR SCHRÖDINGER OPERATOR IN TWO DIMENSIONS

This work deals with the inverse scattering problems for the two-dimensional Schrödinger equation [Formula: see text] with a power-like nonlinearity, where the real-valued unknown functions αl on belong to [Formula: see text] with certain special behaviour at infinity. We prove Saito's formula which implies the uniqueness result and a representation formula for a sum of the functions αl in the sense of tempered distributions. What is more, we prove that the leading order singularities of this sum can be obtained exactly by the inverse Born approximation method from general scattering data at arbitrarily large energies. Especially, we show for the functions in Lp, for certain values of p, that the approximation agrees with the true sum up to the functions from the Sobolev spaces. In particular, for the sum being the characteristic function of a smooth bounded domain this domain is uniquely determined by this scattering data.