On computational complexity of Siegel Julia sets

It has been previously shown by two of the authors that some polynomial Julia sets are algorithmically impossible to draw with arbitrary magnification. On the other hand, for a large class of examples the problem of drawing a picture has polynomial complexity. In this paper we demonstrate the existence of computable quadratic Julia sets whose computational complexity is arbitrarily high.Comment: Updated version, to appear in Commun. Math. Phy

The Elimination of Low-Molecular-Weight Proteins in Patients with Isolated Acute Renal Failure

Objective: to study the effectiveness of some types of semipermeable dialysis membranes and replacement therapy techniques in patients with isolated acute renal failure (iARF). Subjects and methods: Eighty-nine patients aged 24 to 67 years, who received intensive and replacement/maintenance therapy, were examined. The patients were divided into 3 groups in accordance with their condition rated by the APACHE III scale, from the used dialysis membranes and renal replacement/maintenance therapy options. Results. By varying the permeability of a membrane, its area and the volume of convection, we can control the rate of substance elimination, which is similar to that of test markers having a molecular weight of 100 to 15000 Da. Conclusion. Adequate replacement therapy for iARF is possible only when high-flux, high-permeability dia-lyzers are applied. The indices of hemodialysis/hemodiafiltration adequacy in terms of urea cannot be determinants in patients with iARF. The achievement of elimination of low-molecular-weight proteins — markers of uremic intoxication to 30—35% and/or an increase in effective albumin concentrations as a summary marker of toxicity by 16—20% is of much more importance. Key words: isolated acute renal failure, uremic toxins, hemodialysis, hemodiafiltration

Warming Overcomes Dispersal-Limitation to Promote Non-native Expansion in Lake Baikal

Non-native species and climate change pose serious threats to global biodiversity. However, the roles of climate, dispersal, and competition are difficult to disentangle in heterogeneous landscapes. We combine empirical data and theory to examine how these forces influence the spread of non-native species in Lake Baikal. We analyze the potential for Daphnia longispina to establish in Lake Baikal, potentially threatening an endemic, cryophillic copepod Epischurella baikalensis. We collected field samples to establish current community composition and compared them to model predictions informed by flow rates, present-day temperatures, and temperature projections. Our data and model agree that expansion is currently limited by dispersal. However, projected increases in temperature reverse this effect, allowing D. longispina to establish in Lake Baikal’s main basin. A strong negative impact emerges from the interaction between climate change and dispersal, outweighing their independent effects. Climate, dispersal, and competition have complex, interactive effects on expansion with important implications for global biodiversity

A Few Words about Being-incommon

Received: 20.03.2020. Accepted: 7.09.2020.Рукопись поступила в редакцию: 20.03.2020. Принята к публикации: 7.09.2020.The paper deals with the identifi cation of different aspects of being-incommon (jointness) varying from linguistic one — a traditional linkage between the jointness and a community and identity to a philosophical one — through a reference to the concept “Being with” (Heidegger), “multiplicity” (Nancy, Virno, Blanchot). Although the refl ection on “multiplicity” detects another problem mentioned by Nancy when he argued that meaning as such is impossible where there is no difference. The article considers a status and position of the individual in a community and puts forward a hypothesis according to which a person does not possess an ability to shape his individuality (a system of distinctions) within the framework of a certain plurality that lacks unity. The person constructs his ego and the ego ideal (Z. Freud) using discursive and role-driven blocks presented to him by various groups with relative identity. When exploring the phenomenon of “Compatibility” one can reveal one more problem: if a community evolves from a stabilized, slowed-down antagonism that cements, and at the same time, undermines its unity (Loraux), then the question arises why the community does not disintegrate under the impact of a divisive impulse, and what necessary and sufficient conditions for the preservation of jointness are. Inner tension and vulnerability act as such conditions in the article. The principle of instability becomes a basis of jointness and thus distinguishes it from multiplicity. The tradition to identify the functioning of power as a cementing means of the preservation of jointness (Georges Balandier) does not take into account the role of mutual interests, cultural and intentional closeness. “Jointness” is alive as long as there is dynamics, movement, change (as evidenced by the research on totalitarian regimes by Hannah Arendt). Therefore, the regime of jointness is a well-balanced dynamics and statics that should be in a state of fragile unstable equilibrium. Mata stability described by Gilbert Simondon in his philosophy of individuation can be an ideal model of equilibrium.Статья посвящена выявлению разных аспектов феномена «совмест ность»: от лингвистического — традиционной связи «совместности» с сообществом и идентичностью до философского — посредством отсылки к понятиям «совместного бытия» (Хайдеггер), «множественности» (Нанси, Вирно, Бланшо). Однако рефлексия относительно «множественности» обнаруживает другую проблему, на которую обратил внимание Нанси, когда он утверждал, что смысл как таковой невозможен там, где нет различия. В статье рассматривается положение и позиция индивида в сообществе и предлагается гипотеза, по которой человек не обладает способностью формировать свою индивидуальность (систему различий) в рамках некоего лишенного единства множества. Индивид составляет свое Я и Я-идеал (З. Фрейд) из дискурсивных и ролевых блоков, предоставляемых ему различными группами, обладающими относительной идентичностью. При исследовании феномена совместности обнаруживается еще одна проблема: если сообщество возникает из стабилизированного, заторможенного антагонизма, цементирующего и одновременно подрывающего его единство (Лоро), то возникает вопрос: почему под действием разобщающего импульса сообщество не распадается, каковы необходимые и достаточные условия сохранения совместности? В статье такими условиями выступают внутреннее напряжение и уязвимость. Принцип нестабильности становится основой совместности и тем самым отличает ее от множественности. Традиция выделения функционирования власти в качестве цементирующего средства сохранения совместности (Жорж Баландье) не учитывает роль взаимных интересов, культурной и идейной близости. Сложившаяся в литературе «совместность» жива, пока есть динамика, движение, изменение (об этом свидетельствуют работы о тоталитарных режимах Ханны Арендт). Таким образом, режим совместности — это сбалансированная динамика и статика, которые должны находиться в состоянии хрупкого, неустойчивого равновесия. Идеальной моделью равновесия можно считать метастабильность, описанную Жильбером Симондоном в философии индивидуации