Proceedings of the Philosophy, Mathematics, Linguistics: Aspects of Interaction 2014 Conference
In this article the types and methods of teaching are reviewed with respect to psychological characteristics of a potential student.
By the example of the lexico-semantic group 'Stock market goods, their lists, properties, stock exchange documents and rules' the author shows the origin of traders' slang words and expressions and the structural, derivational and lexicological aspects of stock-market participants' lexis system relations.
The Markov School is the school of mathematics (mostly mathematical logic) arisen in St.Petersburg in the 20th century. Historically, the Markov School has been largely connected with the Steklov Mathematical Institute in St. Petersburg. Today, many Markov School mathematicians have taken up positions in different countries; of course, we do not attempt to restrict this survey only to those who have stayed in St. Petersburg. However, all mathematicians whose work we describe studied in St. Petersburg and, at least for several years and often for decades, worked at the Steklov Mathematical Institute. In this paper, we primarily discuss what has happened over the last two decades, so a certain bias to computational complexity is to be expected.
The form whose main function is to express indirect commands, called the third person Imperative, Jussive or Exhortative, when compared to the prototypical (second person) Imperative, shows semantic and formal similarities and distinctions at the same time. The study describes formal and functional patterns of Jussive and places this category within the typology of the related categories, such as Imperative and Optative, based on data from six East Caucasian languages (Archi, Agul, Akhvakh, Chechen, Icari and Kumyk). Five formal patterns of Jussive are attested in these languages, including a specialized form, constructions derived from want, from tell him to do and from make him do and the Optative. Jussive forms may express such meanings as third person command, indirect causation, permission, indifference towards the accomplishment of an action and an assumption. While the Jussive is crucially different from the second person Imperative in that it introduces a third participant, this article shows that it is the addressee, not a third person, who is the central participant of a Jussive situation from both formal and functional points of view.
We consider certain spaces of functions on the circle, which naturally appear in harmonic analysis, and superposition operators on these spaces. We study the following question: which functions have the property that each their superposition with a homeomorphism of the circle belongs to a given space? We also study the multidimensional case.
We consider the spaces of functions on the m-dimensional torus, whose Fourier transform is p -summable. We obtain estimates for the norms of the exponential functions deformed by a C1 -smooth phase. The results generalize to the multidimensional case the one-dimensional results obtained by the author earlier in “Quantitative estimates in the Beurling—Helson theorem”, Sbornik: Mathematics, 201:12 (2010), 1811 – 1836.
We consider the spaces of function on the circle whose Fourier transform is p-summable. We obtain estimates for the norms of exponential functions deformed by a C1 -smooth phase.