Open and closed complexity of infinite words

In this paper we study the asymptotic behaviour of two relatively new complexity functions defined on infinite words and their relationship to periodicity. Given a factor $w$ of an infinite word $x=x_1x_2x_3\cdots$ with each $x_i$ belonging to a fixed finite set $\mathbb{A},$ we say $w$ is closed if either $w\in \mathbb{A}$ or if $w$ is a complete first return to some factor $v$ of $x.$ Otherwise $w$ is said to be open. We show that for an aperiodic word $x\in \mathbb{A}^\mathbb{N},$ the complexity functions $Cl_x$ (resp. $Op_x)$ that count the number of closed (resp. open) factors of $x$ of each given length are both unbounded. More precisely, we show that if $x$ is aperiodic then $\liminf_{n\in \mathbb{N}} Op_x(n)=+\infty$ and $\limsup_{n\in S} Cl_x(n)=+\infty$ for any syndetic subset $S$ of $\mathbb{N}.$ However, there exist aperiodic infinite words $x$ verifying $\liminf_{n\in \mathbb{N}}Cl_x(n)<+\infty.$ Keywords: word complexity, periodicity, return words

РАЗРАБОТКА СПОСОБА ОПРЕДЕЛЕНИЯ КАТИОНОВ ЛИЗИНА И ТИАМИНА В ВОССТАНОВЛЕННОМ МОЛОКЕ С ИСПОЛЬЗОВАНИЕМ ПД-СЕНСОРОВ

The sensitivity and stability of the response of the PD-sensors based on membranes MF-4SC in K-, H-, Lys-forms in solutions of the reconstituted milk were investigated. A multisensory systems with PD sensors and ion-selective electrodes for the recognition of reconstituted milk containing powdered milk from 0.40 to 8.46 mas. % is developed. The sensitivity of PD-sensors to cations of lysine in the test solutions containing 0.40 wt. % of powdered milk and 1.0·10-3-1.0·10-1 M of LysHCl was 29 mV/рС for membranes in the К-type. The sensitivity of PD-sensors to cations of thiamine in the test solutions containing from 0.40-3.40 wt. % of powdered milk and 1.0·10-4-1.0·10-1 M of ThiaminCl was from 18 to 12 mV/рС for membranes in the К-type. This sensitivity is sufficient for the quantitative determination of cations of lysine and of thiamine in solutions of reconstituted milk. The limit of detection of cations of lysine and thiamine in reconstituted milk was 4.0·10-6 М and 2.9·10-6 М respectively. The relative error of measurement was not more 10 %.Keywords: PD-sensor, Donnan potential, multisensory systems, reconstituted milk, lysine, thiamine(Russian)DOI: http://dx.doi.org/10.15826/analitika.2013.17.4.008O. V. Bobreshova, A. V. Parshina, E.A. Ryzhkova, T. S. Titova Voronezh State University, Voronezh, RussiaFederationИсследованы чувствительность и стабильность откликов сенсоров, аналитическим сигналом которых является потенциал Доннана на границе ионообменная мембрана/раствор электролита (ПД-сенсоров), на основе мембран МФ-4СК в калиевой, водородной и лизиновой формах в растворах восстановленного молока. Разработана мультисенсорная система с ПД-сенсорами и ионоселективными электродами для распознавания образов восстановленного молока с массовой долей сухого от 0.40 до 8.46 %. ПД-сенсоры на основе мембран МФ-4СК в калиевой форме использованы для количественного определения катионов лизина и тиамина в восстановленном молоке с концентрацией сухого молока 0.40 % мас. и 0.40-3.40 % мас. соответственно. Предел обнаружения катионов лизина и тиамина в восстановленном молоке составил 4.0·10-6 М и 2.9·10-6 М соответственно. Относительная погрешность определения не превышала 10 %.Ключевые слова: потенциометрия, ПД-сенсор, мультисенсорные системы, перфторированные мембраны, восстановленное молоко, лизин, тиаминDOI: http://dx.doi.org/10.15826/analitika.2013.17.4.00

Изотопно-геохимические особенности карбонатов и термальных вод месторождения Кындыг (Республика Абхазия)

Subject. The aim of the work is to study the mechanism and sources of water formation, as well as the peculiarities of carbonate mineralization in the aquifer of the Kyndyg thermal water deposit. Materials and methods. The samples of water (8) and deposited carbonates (15), collected at different seasons at three sites, characterized by different temperatures and dis-tances from the source, were investigated. pH, Eh, and electrical conductivity were determined by an electrochemical me-thod. For the determination of HCO3–, Cl– 2–, SO4, titrimetric, mercurymetric and turbidimetric methods were used. Trace element composition was determined by ICP-MS (NexION 300S); strontium isotopic composition – by MC-ICP-MS (Nep-tune Plus) using the bracketing technique after Sr chromatographic separation. Results. The chloride-calcium hydroche-mical type prevails in the studied waters. A number of trace elements in water exceeds the clarke concentrations for ground-water in the supergene zone of mountain landscapes.87Sr/86Sr isotope ratios (0.7065–0.7072) in thermal waters suggest that their composition is determined rather by the isotopic characteristics of the rocks through which water drains than by the influence of sea water. Among the newly formed carbonates, aragonite prevails. In contrast to thermal water, the concentrations of most metals in carbonates are below the clarke values; only Sr and Se are increased, which content is significantly increased in water as well. Deposited carbonates are characterized by87Sr/86Sr values (0.7028–0.7074), which are lower than in the source thermal waters. Conclusions. On the basis of hydrogeological, hydrochemical and geochemical data, it can be assumed that the waters of this aquifer complex are formed mainly due to fresh fractured karst waters of lower Cre-taceous limestones with submerged monocline dipping into the zone of slow circulation and mixing with sedimentogenic sodium chloride waters. The geochemical data and the presence of scandium anomaly suggest that the underlying Jurassic volcanogenic rocks also participate in water exchange. © 2020, AN Zavaritsky Institute of Geology and Geochemistry. All rights reserved.This work was supported by the Russian Foundation for Basic Research in the framework of the scientific project 19-55-40005 Abh_a “Genetic types of karstogenesis of the Abkhazian coastal carbonate massifs”. The analysis of microelement and Sr isotopic composition of thermal waters and deposited salts was carried out in the UB RAS Geoanalytic Center for Collective Use and supported by АААА-А18-118053090045-8 topic of IGG UB RAS State Assignment

Space Weather and Its Impact on Psycho-Emotional State of the Inhabitants of Different Latitudes

Purpose of the research was to conduct a comparative analysis of the psychological characteristics of the inhabitants of the northern and middle latitudes, depending on their psychological sensitivity to changes in geomagnetic disturbances Materials and Methods: The study included 78 relatively healthy volunteers (women and men, the average age of 44.2[36.7; 54.3] years) living in the polar (Tiksi), subpolar (Yakutsk) and middle (Saratov) latitudes. Monitoring of the studied indicators was carried out during March and April 2016. To achieve this goal, the following methods were used: the Spielberger-Khanin scale for reactive (situational) and personal anxiety; E. Heim's technique for revealing individual coping strategies; the projective psycho-geometric test. Every day, during March and April 2016, the Kp-index, an integral indicator of changing geomagnetic disturbance was used. Depending on the identified matches, the peak values of the reactive anxiety by Spielberger-Khanin and Kp-index (not less than 60% of cases), all volunteers were divided into 2 groups. Group 1 included persons with similar overlap and, therefore, carriers of psychological sensitivity to changes in the action of heliogeomagnetic factors. Group 2 included persons without a specified sensitivity, (i.e., no coincidences). Results: In the course of the study, both coinciding and latitude-related differences in the psychological characteristics of different groups of volunteers were established. In the inhabitants of the polar and subpolar latitudes, especially in Group 1, the behavioral sphere was the most vulnerable (no constructive coping strategies). In addition, their changes in the emotional sphere contributed to the manifestation of aggressiveness and suppression of emotions against the background of general concentration, purposefulness and integrity of the individual. Regardless of the latitude of residence, volunteers, psychologically sensitive to changes in heliogeomagnetic factors, were more constructive in the emotional sphere, and the least in the behavioral, which gives reason to state that, depending on the factors of space weather, the behavior of the individual is the most vulnerable

Сравнительная характеристика пневмоний, вызванных Mycoplasma pneumoniae, у детей

The urgency of the problem of community-acquired pneumonia in children is due to the high incidence rate. In the etiological structure of bacterial pneumonia, Streptococcus pneumoniae and Mycoplasma pneumonia (Mp) prevail.Purpose: to identify clinical, laboratory and instrumental features of mycoplasmal pneumonia in children.Materials and methods. A retrospective,  single-center cohort study  of  266  case  histories  of  children  aged  4 months to 17 years who were in Children’s City Clinical Hospital No. 9 in 2019 with a referral diagnosis of pneumonia was carried out. To verify the diagnosis of pneumonia, the method of chest X-ray was used, for the etiological diagnosis, the method of PCR swabs from the nasopharynx, ELISA for the detection of antibodies of the IgM and IgG classes was used. Results. The diagnosis  of  pneumonia was confirmed in 190 children. The diagnosis of pneumonia caused by M. pneumoniae (MpP) was established in 76 (40%) children, they made up the 1st group. The remaining 114 (60%) children with community-acquired pneumonia of another etiology (CAP) made up the 2nd group – comparisons. The diagnosis of MpP was confirmed in 46 (60.5%) children by the detection of IgM, in 12 (15.8%) by the detection of Mp genetic material, and in  18  (23.7%) by positive both IgM and PCR. The median age of children in the group with MpP was 9.6 years, in the comparison group – 4 years (p&lt;0.01). Significantly more often MpP occurs in children aged 11–17 years (p &lt; 0.01), and CAP – up to 7 years (p &lt; 0.01). With MpP, catarrhal phenomena in the form of hyperemia of the oropharynx, nasal congestion, and unproductive cough are observed less frequently than with CAP. With MpP, rales in the lungs are heard more often than with CAP, they are significantly more often wet (p&lt;0.01). Respiratory failure and dyspnea are less common in MpP than in CAP. Bilateral lesions and lesions of the upper lobe of the lungs are more often detected in MpP, and in CAP – right-sided lesions. In the general blood test, leukocytosis, incl. above 15  thousand/µl,  as well as leukopenia below 4 thousand/µl were significantly more frequent in the group of patients with CAP (p&lt;0.01). Conclusion. No clear clinical and laboratory criteria for mycoplasmal etiology of pneumonia have been obtained, which dictates the need for laboratory confirmation for the choice of therapy tactics.Актуальность проблемы внебольничных пневмоний у детей обусловлена высоким  уровнем  заболеваемости. В этиологической структуре бактериальных пневмоний превалируют Streptococcus pneumoniae и Mycoplasma pneumoniae.Цель: выявление клинико-лабораторных и инструментальных особенностей микоплазменной пневмонии у детей.Материалы и методы: проведено ретроспективное, одноцентровое когортное исследование 266 историй болезни детей в возрасте от 4 месяцев до 17 лет, находившихся в Детской городской клинической больнице № 9 в 2019 г. с направительным диагнозом «Пневмония». Для верификации диагноза пневмонии использовали рентгенографию грудной клетки, для этиологического диагноза – ПЦР мазков из носоглотки, ИФА для обнаружения антител класса IgM и IgG.Результаты: диагноз «Пневмония» был подтвержден у 190 детей. Микоплазменная пневмония (MpП) была установлена у 76 (40%) детей, они составили 1-ю группу (у 46 (60,5%) детей обнаружены IgM, у 12 (15,8%) – положительная ПЦР, а у 18 (23,7%) – положительные и IgM, и ПЦР). Остальные 114 (60%) детей с внебольничной пневмонией другой этиологии (ВП) составили 2-ю группу – сравнения. Медиана возраста детей в группе с МрП составила 9,6 лет, в группе сравнения – 4 года (р&lt;0,01). Достоверно чаще MpП встречается у детей в возрасте 11–17 лет (р &lt; 0,01), а ВП – до 7 лет (р &lt; 0,01). При MpП катаральные явления в виде гиперемии ротоглотки, заложенности носа, малопродуктивного кашля наблюдаются реже, чем при ВП. При MpП чаще выслушиваются хрипы в легких, чем при ВП, достоверно чаще они влажные (р&lt;0,01). При MpП дыхательная недостаточность и одышка наблюдаются реже, чем при ВП. Поражение верхней доли легких чаще выявляется при MpП, а при ВП – правостороннее поражение. В общем анализе крови лейкоцитоз, в том числе выше 15 тыс./мкл, а также лейкопения ниже 4 тыс./мкл были достоверно чаще в группе больных с ВП (р&lt;0,01).Заключение: не получено четких клинико-лабораторных критериев пневмонии микоплазменной этиологии, что диктует необходимость лабораторного подтверждения этиологии пневмонии для выбора тактики терапии

Применение синтетического аналога простагландина Е1 для подготовки шейки матки и индукции родов

A clinical prospective examination of 90 women with complete pregnancy and indications for labor induction because of unsatisfactory maturity of uterus cervix has been made. The aim was to create a comparative analysis of efficiency of intravaginal introduction of prostaglandin synthetic analogue E1 misoprostol («Sytotec») and intracervical introduction of prostaglandin E2 dinoprostone («Prepidil» gel) for uterus cervix preparation and labor induction at complete pregnancy. Misoprostol in a dose of 25 mkg has been introduced to pregnant women of the 1 group (n=44), every 4 hours not more than 3 times. In case of discharge of waters or labor activity the second introduction has not been done. Dinoprostone has been introduced intracervically in a single dose to pregnant women of the 2 group (n=46). The use of misoprostol has been accompanied by spontaneous beginning of labor activity by 2 times more often than the use of dinoprostone. The quantity of vaginal births within 12 and 24 hours of observation has been surely greater and the duration of time between the beginning of introduction and labor has been surely smaller in the group of women received misoprostol as compared to the one received dinoprostone. It has not been revealed any differences between examined groups by the frequency of uterus hyperstimulation symptom development, labor duration, frequency of abdominal and vaginal labor, as well as perinatal outcomes.С целью сравнительного анализа эффективности интравагинального введения синтетического аналога простагландина Е1 мизопростола («Сайтотек») и интрацервикального введения простагландина Е2 динопростона (гель «Препидил») для подготовки шейки матки и индукции родов при доношенной беременности проведено клиническое проспективное исследование 90 женщин с доношенной беременностью, имеющих показания для родовозбуждения при неудовлетворительной зрелости шейки матки. Беременным 1-й группы (n = 44) интравагинально вводили мизопростол в дозе 25 мкг через каждые 4 ч не более 3 раз. Повторное введение препарата не проводили в случае отхождения вод или развития родовой деятельности. Беременным 2-й группы (n = 46) однократно интрацервикально вводили динопростон. Применение мизопростола в 2 раза чаще сопровождалось самостоятельным началом родовой деятельности, чем при использовании динопростона. Количество влагалищных родов в течение 12 и 24 ч наблюдения было достоверно больше, а продолжительность времени от начала введения препарата до родоразрешения достоверно меньше в группе женщин, получавших мизопростол, по сравнению с группой пациенток, получавших динопростон. Не было выявлено различий между исследуемыми группами в частоте развития симптомов гиперстимуляции матки, продолжительности родов, частоте абдоминального и влагалищного родоразрешений, а также перинатальных исходах

Recovery of dialysis patients with COVID-19 : health outcomes 3 months after diagnosis in ERACODA

Background. Coronavirus disease 2019 (COVID-19)-related short-term mortality is high in dialysis patients, but longer-term outcomes are largely unknown. We therefore assessed patient recovery in a large cohort of dialysis patients 3 months after their COVID-19 diagnosis. Methods. We analyzed data on dialysis patients diagnosed with COVID-19 from 1 February 2020 to 31 March 2021 from the European Renal Association COVID-19 Database (ERACODA). The outcomes studied were patient survival, residence and functional and mental health status (estimated by their treating physician) 3 months after COVID-19 diagnosis. Complete follow-up data were available for 854 surviving patients. Patient characteristics associated with recovery were analyzed using logistic regression. Results. In 2449 hemodialysis patients (mean ± SD age 67.5 ± 14.4 years, 62% male), survival probabilities at 3 months after COVID-19 diagnosis were 90% for nonhospitalized patients (n = 1087), 73% for patients admitted to the hospital but not to an intensive care unit (ICU) (n = 1165) and 40% for those admitted to an ICU (n = 197). Patient survival hardly decreased between 28 days and 3 months after COVID-19 diagnosis. At 3 months, 87% functioned at their pre-existent functional and 94% at their pre-existent mental level. Only few of the surviving patients were still admitted to the hospital (0.8-6.3%) or a nursing home (∼5%). A higher age and frailty score at presentation and ICU admission were associated with worse functional outcome. Conclusions. Mortality between 28 days and 3 months after COVID-19 diagnosis was low and the majority of patients who survived COVID-19 recovered to their pre-existent functional and mental health level at 3 months after diagnosis

Perfect colorings of the infinite circulant graph with distances 1 and 2

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