On Representations of Algebraic Polynomials by Superpositions of Plane Waves

* The author was supported by NSF Grant No. DMS 9706883.Let P be a bi-variate algebraic polynomial of degree n with the real senior part, and Y = {yj }1,n an n-element collection of pairwise noncolinear unit vectors on the real plane. It is proved that there exists a rigid rotation Y^φ of Y by an angle φ = φ(P, Y ) ∈ [0, π/n] such that P equals the sum of n plane wave polynomials, that propagate in the directions ∈ Y^φ

Ethnic minority organisations in Russia and Poland: a comparison challenge

This article proposes a framework for classifying ethnic minority organisations based on a broad combination of discursive and non-discursive criteria rooted in their political opportunities profile. One diasporic and one non-diasporic organisation were chosen for Russia and Poland, respectively. Diasporicity is understood according to William Safran’s criteria and Rogers Brubaker’s triadic configuration. The Russian study cases are Komi Voityr and the Russian Polish Congress; the Polish, the Silesian Autonomy Movement and the Belarussian House. The analysis of their status, activities, domestic and external political impact, localisation and role in the ‘triadic configuration’ has shown that the four cases are ethnic minority associations, and their legal status and scope of activities differ significantly. Their domestic political opportunities are rather scarce. Out of the four cases, just one organisation is an active part in Brubaker’s classical triadic configuration; its role is not traditional, ascribed to the respective ‘angle’. Although both Russian associations enjoy an official status, their activities are limited to the cultural, memorial and linguistic domains, primarily at the national level. In Poland, both associations act internationally as advocacy groups, and their activities are not confined to culture and language. Far from being universally applicable, the proposed classification framework can still add to the comparative ethnic politics toolkit

Local Stability of Dynamical Processes in Random Media

A particular type of random dynamical processes is considered, in which the stochasticity is introduced through randomly fluctuating parameters. A method of local multipliers is developed for treating the local stability of such dynamical processes corresponding to infinite--dimensional dynamical systems. The method is illustrated by several examples, by the random diffusion equation, random wave equation, and random Schrodinger equation. The evolution equation for the density matrix of a quasiopen statistical system subjest to the action of random surrounding is considered. The stationary solutions to this equation are found to be unstable against arbitrary small finite random perturbations. The notion of random structural stability is introduced.Comment: 2 files, 34 pages, late

TRANSFORMATION OF COLONIAL EXPERIENCE REFLECTION IN THE BELGIAN PUBLIC DISCOURSE

In the article, the dynamics in the perception of the Belgian colonial experience in Congo are examined on the evidence of public discourse produced by public political actors in contemporary Belgium. Apart from the universally accepted postcolonial and decolonial optics, the authors suggest employing the five stages of grief model by Kübler-Ross, widespread in psychoanalysis. The concluding stage of acceptance took place in the 2020s caused mainly by public demand; it was performatively landmarked by the return of the Congolese prime minister's remains to his homeland. The authors demonstrate the complexity of the common historical experience reflection in the European and African states and the necessity of this reflection for the dynamic development of bilateral and multilateral ties

К вопросу о влиянии маллеина на вегетативные и вирулентнтные свойства сапных бацилл : диссертация на степень магистра ветеринарных наук

http://tartu.ester.ee/record=b2114593~S1*es

The most recent (682-792 C.E.) volcanic eruption in the Jombolok lava field, East Sayan, Central Asia triggered exodus of Mongolian pre-Chinggis Khaan tribes (778-786 C.E.)

International audienceThis study presents new data on one of the most recent (historical) volcanic eruptions in Central Asia. The Jombolok lava field located in the East Sayan Mountains (Southern Siberia) was formed during Late Pleistocene and Holocene times. At least four phases of volcanic activity have been identified and evidences associated with the last phase have been found in the upper reaches of the Khi-Gol valley and in the Oka-Jombolok basin. The volcanic activity is represented by young basaltic lava located among older lavas. Live and dead trees have been sampled in the young lava field. Nine fragments of wood have been found embedded in lavas of the latest eruption. Dendrochronological analysis, radiocarbon dating and the analysis of historical chronicles have shown that the latest eruption occurred during the period 682-792 A.D. The volcanic activity possibly triggered the migration of Mongolian tribes out of the locality known in historical chronicles as Ergune-Kun towards the Onon River, which, 400 years later, became the place of birth and rise of Chinggis Khaan

Development and Study of Biocompatible Polyurethane-Based Polymer-Metallic Nanocomposites

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Historical RNA expression profiles from the extinct Tasmanian tiger

Paleogenomics continues to yield valuable insights into the evolution, population dynamics, and ecology of our ancestors and other extinct species. However, DNA sequencing cannot reveal tissue-specific gene expression, cellular identity, or gene regulation, which are only attainable at the transcriptional level. Pioneering studies have shown that useful RNA can be extracted from ancient specimens preserved in permafrost and historical skins from extant canids, but no attempts have been made so far on extinct species. We extract, sequence, and analyze historical RNA from muscle and skin tissue of a ∼130-year-old Tasmanian tiger (Thylacinus cynocephalus) preserved in desiccation at room temperature in a museum collection. The transcriptional profiles closely resemble those of extant species, revealing specific anatomical features such as slow muscle fibers or blood infiltration. Metatranscriptomic analysis, RNA damage, tissue-specific RNA profiles, and expression hotspots genome-wide further confirm the thylacine origin of the sequences. RNA sequences are used to improve proteincoding and noncoding annotations, evidencing missing exonic loci and the location of ribosomal RNA genes while increasing the number of annotated thylacine microRNAs from 62 to 325. We discover a thylacine-specific microRNA isoform that could not have been confirmed without RNA evidence. Finally, we detect traces of RNA viruses, suggesting the possibility of profiling viral evolution. Our results represent the first successful attempt to obtain transcriptional profiles from an extinct animal species, providing thought-to-be-lost information on gene expression dynamics. These findings hold promising implications for the study of RNA molecules across the vast collections of natural history museums and from well-preserved permafrost remains

Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids

Generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids are considered in this work. We assume that, in the momentum equation, the diffusion and relaxation terms are described by two distinct power-laws. Moreover, we assume that the momentum equation is perturbed by an extra term, which, depending on whether its signal is positive or negative, may account for the presence of a source or a sink within the system. For the associated initial-boundary value problem, we study the existence of weak solutions as well as the large time behavior of the solutions.Portuguese Foundation for Science and Technology: UID/MAT/04561/2019info:eu-repo/semantics/publishedVersio