La ballerine illettrée:transformations of the feminine in Mallarmé's sance writings

Stéphane Mallarmé's texts on dance criticism occupy a prominent place in dance literature. They have also been of major interest to the Mallarme specialists who have seen in them the key to a greater understanding of the whole of his work. In this article I determine how his dance writings can be interpreted in the context of the whole of the œuvre, including for example the women's magazine he wrote and produced, La Dernière Mode. I establish to what extent the female presence in Mallarmé's poetry tends towards metaphors, women's bodies absent or negated by the gaze of the poet. As the poet responds to the stimulus of the dance, he divests the female dancer of her womanly characteristics, recasting her in his own imagination both as feminine principle and incarnation of 'l'Idée', and also as mythical being, 'au-delà de toute vie possible', a composite of other female characters inhabiting his œuvre, constantly poised between presence and absence, stillness and movement, a locus for a precarious balance which is endlessly re-enacted in h.is own writing practice.

In-cavity transformations for new nonlinear regimes of pulse generation in mode-locked fibre lasers

We review recent progress in the research on nonlinear mechanisms of pulse generation in passively mode-locked fibre lasers. These include parabolic self-similar pulse mode-locking, a mode-locking regime featuring pulses with a triangular distribution of the intensity, and spectral compression arising from nonlinear pulse propagation. We also report on the possibility of achieving various regimes of advanced temporal waveform generation in a mode-locked fibre laser by inclusion of a spectral filter into the laser cavity.

Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem

This paper is a survey of our recent results on the bispectral problem. We describe a new method for constructing bispectral algebras of any rank and illustrate the method by a series of new examples as well as by all previously known ones. Next we exhibit a close connection of the bispectral problem to the representation theory of W1+∞–algerba. This connection allows us to explain and generalise to any rank the result of Magri and Zubelli on the symmetries of the manifold of the bispectral operators of rank and order two.

Backlund-Darboux Transformations in Sato's Grassmannian

We define Bäcklund–Darboux transformations in Sato’s Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras.

Matrixes of Relations between Pairs Objects and Transformations between Various Kinds

Ways of representation of relations between pair's objects are described at a complete choice. Methods of revealing and kinds of relations between objects are considered. The table of conformity between various forms of representation of relations is resulted.

A WEB-System for Computer Experiments in the Field of Program Transformations

The paper presents basic notions and scientific achievements in the field of program transformations, describes usage of these achievements both in the professional activity (when developing optimizing and unparallelizing compilers) and in the higher education. It also analyzes main problems in this area. The concept of control of program transformation information is introduced in the form of specialized knowledge bank on computer program transformations to support the scientific research, education and professional activity in the field. The tasks that are solved by the knowledge bank are formulated. The paper is intended for experts in the artificial intelligence, optimizing compilation, postgraduates and senior students of corresponding specialties; it may be also interesting for university lecturers and instructors.

Processing of Knowledge about Optimization of Classical Optimizing Transformations

The article describes the structure of an ontology model for Optimization of a sequential program. The components of an intellectual modeling system for program optimization are described. The functions of the intellectual modeling system are defined.

On OBDD Transformations Representing Finite State Automata

We present OBDD transformation problem representing finite labeled transition systems corresponding to some congruence relation. Transformations are oriented toward obtaining the OBDD of a minimized transition system for this congruence relation.

Cryptographic Primitives with Quasigroup Transformations

AMS Subj. Classification: Primary 20N05, Secondary 94A60

On the Transformations of Symplectic Expansions and the Respective Bäcklund Transformation for the KDV Equation

2000 Mathematics Subject Classification: Primary: 34B40; secondary: 35Q51, 35Q53

Invariants of Unipotent Transformations Acting on Noetherian Relatively Free Algebras

2000 Mathematics Subject Classification: 16R10, 16R30.

Nonlinear signal transformations:path to capacity above the linear AWGN Shannon limit

We present a methodology for simultaneous optimization of modulation format and regenerative transformations in nonlinear communication channels. We derived analytically the maximum regenerative Shannon capacity, towards which any regenerative channel tends at high SNR and large number of regenerators.

On the Semigroup of all Increasing Full Transformations

Илинка А. Димитрова - Полугрупата Tn от всички пълни преобразувания върху едно n-елементно множество е изучавана в различни аспекти ог редица автори. Обект на разглеждане в настоящата работа е полугрупата Incn състояща се от всички нарастващи пълни преобразувания. Очевидно Incn е подполугрупа на Tn. Доказано е, че всеки елемент на полугрупата Incn от ранг r може да се представи като произведение на идемпотенти от същия ранг и всеки идемпотент от ранг по-малък или равен на r може да се представи като произведение на идемпотенти от ранг r. С помощта на тези твърдения е показано, че полугрупата Incn се поражда от множеството на всички идемпотенти от ранг n − 1 и тъждественото преобразувание. Освен това е доказано, че идемпотентите от ранг n − 1 са неразложими в полугрупата Incn. В резултат на това е получено, че рангът и идемпотичниат ранг на разглежданата полугрупа са равни. Като са използвани тези твърдения е направена пълна класификация на маскималните подполугрупи на полугрупата Incn.

Classification of the Maximal Subsemigroups of the Semigroup of all Partial Order-Preserving Transformations

Илинка А. Димитрова, Цветелина Н. Младенова - Моноида P Tn от всички частични преобразования върху едно n-елементно множество относно операцията композиция на преобразования е изучаван в различни аспекти от редица автори. Едно частично преобразование α се нарича запазващо наредбата, ако от x ≤ y следва, че xα ≤ yα за всяко x, y от дефиниционното множество на α. Обект на разглеждане в настоящата работа е моноида P On състоящ се от всички частични запазващи наредбата преобразования. Очевидно P On е под-моноид на P Tn. Направена е пълна класификация на максималните подполугрупи на моноида P On. Доказано е, че съществуват пет различни вида максимални подполугрупи на разглеждания моноид. Броят на всички максимални подполугрупи на POn е точно 2^n + 2n − 2.

Modelling and linking transformations in EPCIS governing supply chain business processes

Supply chains comprise of complex processes spanning across multiple trading partners. The various operations involved generate large number of events that need to be integrated in order to enable internal and external traceability. Further, provenance of artifacts and agents involved in the supply chain operations is now a key traceability requirement. In this paper we propose a Semantic web/Linked data powered framework for the event based representation and analysis of supply chain activities governed by the EPCIS specification. We specifically show how a new EPCIS event type called "Transformation Event" can be semantically annotated using EEM - The EPCIS Event Model to generate linked data, that can be exploited for internal event based traceability in supply chains involving transformation of products. For integrating provenance with traceability, we propose a mapping from EEM to PROV-O. We exemplify our approach on an abstraction of the production processes that are part of the wine supply chain.