The Berwald-type linearisation of generalised connections

We study the existence of a natural `linearisation' process for generalised connections on an affine bundle. It is shown that this leads to an affine generalised connection over a prolonged bundle, which is the analogue of what is called a connection of Berwald type in the standard theory of connections. Various new insights are being obtained in the fine structure of affine bundles over an anchored vector bundle and affineness of generalised connections on such bundles.Comment: 25 page

Projective dynamics and first integrals

We present the theory of tensors with Young tableau symmetry as an efficient computational tool in dealing with the polynomial first integrals of a natural system in classical mechanics. We relate a special kind of such first integrals, already studied by Lundmark, to Beltrami's theorem about projectively flat Riemannian manifolds. We set the ground for a new and simple theory of the integrable systems having only quadratic first integrals. This theory begins with two centered quadrics related by central projection, each quadric being a model of a space of constant curvature. Finally, we present an extension of these models to the case of degenerate quadratic forms.Comment: 39 pages, 2 figure

Reduction of invariant constrained systems using anholonomic frames

We analyze two reduction methods for nonholonomic systems that are invariant under the action of a Lie group on the configuration space. Our approach for obtaining the reduced equations is entirely based on the observation that the dynamics can be represented by a second-order differential equations vector field and that in both cases the reduced dynamics can be described by expressing that vector field in terms of an appropriately chosen anholonomic frame.Comment: 19 page

Пищевой статус и структура потребления макронутриентов у больных туберкулезом с различной лекарственной устойчивостью возбудителя

The objective: to assess the nutritional status and actual nutrition of respiratory tuberculosis patients with various drug resistance patterns.Subjects and methods. The actual nutrition of tuberculosis patients was assessed using a standard questionnaire containing questions about the amount of food and meals consumed at home in the last 30 days preceding the survey. Assessment of anthropometric indicators and the survey were carried out by medical workers when the patients were admitted to hospital. Patients were enrolled from April to August 2018 out of 300 respiratory tuberculosis patients who had a positive result of a sputum test for M. tuberculosis. The multidrug resistant tuberculosis group consisted of 222 patients, while the group of those drug susceptible or having mono- or polyresistance included 78 patients.Results. It was found out that the home diet of patients with active respiratory tuberculosis was imbalanced in respect of basic nutrients and energy. The following was detected: lack of protein in the diet (including the one of animal origin) in 80.6 ± 2.3% with a depth of more than 55.7%; excess unbalanced fat consumption in 66.6 ± 2.7%; insufficient consumption of dietary fiber in 45.0 ± 2.8%. Multidrug resistant tuberculosis patients consumed more energy and macronutrients (proteins, fats, dietary fiber, animal protein, cholesterol, and fatty acids) both in absolute terms and relative to individual needs, but at the same time they had worse nutritional status indicators; 37,2% of them had malnutrition of the 1st to 3rd degree. At the same time, patients with multidrug resistant tuberculosis were significantly more often HIV-positive, they had disseminated and chronic tuberculosis, the treatment of which itself lead to a decrease in appetite, malnutrition, metabolic and digestion disorders.Цель исследования: оценка пищевого статуса и фактического питания больных туберкулезом органов дыхания с различной лекарственной устойчивостью возбудителя.Материалы и методы. Оценка фактического питания больных туберкулезом проводилась с использованием стандартного опросника, содержащего вопросы, характеризующие количество потребляемых пищевых продуктов и блюд в домашних условиях в течение последних 30 дней, предшествовавших опросу. Определение антропометрических показателей и опрос проводили медицинские работники в момент поступления пациентов в стационар. Выборка пациентов сформирована в период с апреля по август 2018 г. из 300 больных туберкулезом органов дыхания, выделявших M. tuberculosis. Группу туберкулеза с множественной лекарственной устойчивостью составили 222 больных, группу с сохраненной чувствительностью M. tuberculosis к противотуберкулезным препаратам, а также с моно/полирезистентностью ‒ 78 пациентов.Результаты. Установлено, что домашнее питание больных активным туберкулезом органов дыхания характеризовалось несбалансированностью основных пищевых веществ и энергии. Выявлены: недостаток белка в рационе (в том числе животного происхождения) ‒ у 80,6 ± 2,3% с глубиной более 55,7%; избыточное несбалансированное потребление жиров ‒ у 66,6 ± 2,7%; недостаточное потребление пищевых волокон ‒ у 45,0 ± 2,8%. Больные туберкулезом с множественной лекарственной устойчивостью потребляли больше энергии и макронутриентов (белков, жиров, пищевых волокон, животного белка, холестерина, жирных кислот) как в абсолютном выражении, так и относительно индивидуальной потребности, но вместе с тем имели худшие показатели пищевого статуса, 37,2% лиц имели недостаточность питания 1-3-й степени. При этом больные туберкулезом с множественной лекарственной устойчивостью значимо чаще имели ВИЧ-положительный статус, распространенный и хронический туберкулез, лечение которого само приводит к снижению аппетита, недоеданию, нарушению обмена и усвоения пищевых веществ.Авторы заявляют об отсутствии у них конфликта интересов

Evaluation of informativity risk factors of breast cancer in the female population of the Omsk region: Bayesian approach

The paper shows the possibility of assessment of individual risk of developing breast cancer in women using an algorithm based on Bayes ' theorem. An epidemiological study (such as "case-control"), the prevalence of known risk factors for breast cancer in the female population of the Omsk region (n = 1002). The estimation of informativenes of risk factors for breast cancer signs and in terms of the likelihood ratio. Defined sensitivity and specificity of the proposed diagnostic test

Nutritional status and structure of macronutrient consumption in tuberculosis patients with different drug resistance profiles

The objective: to assess the nutritional status and actual nutrition of respiratory tuberculosis patients with various drug resistance patterns.Subjects and methods. The actual nutrition of tuberculosis patients was assessed using a standard questionnaire containing questions about the amount of food and meals consumed at home in the last 30 days preceding the survey. Assessment of anthropometric indicators and the survey were carried out by medical workers when the patients were admitted to hospital. Patients were enrolled from April to August 2018 out of 300 respiratory tuberculosis patients who had a positive result of a sputum test for M. tuberculosis. The multidrug resistant tuberculosis group consisted of 222 patients, while the group of those drug susceptible or having mono- or polyresistance included 78 patients.Results. It was found out that the home diet of patients with active respiratory tuberculosis was imbalanced in respect of basic nutrients and energy. The following was detected: lack of protein in the diet (including the one of animal origin) in 80.6 ± 2.3% with a depth of more than 55.7%; excess unbalanced fat consumption in 66.6 ± 2.7%; insufficient consumption of dietary fiber in 45.0 ± 2.8%. Multidrug resistant tuberculosis patients consumed more energy and macronutrients (proteins, fats, dietary fiber, animal protein, cholesterol, and fatty acids) both in absolute terms and relative to individual needs, but at the same time they had worse nutritional status indicators; 37,2% of them had malnutrition of the 1st to 3rd degree. At the same time, patients with multidrug resistant tuberculosis were significantly more often HIV-positive, they had disseminated and chronic tuberculosis, the treatment of which itself lead to a decrease in appetite, malnutrition, metabolic and digestion disorders

Evaluation of a simple, small-plot meteorological technique for measurement of ammonia emission: Feasibility, costs, and recommendations

Ammonia emission reduces the reliability and nitrogen (N) fertilizer efficiency of animal manure and mineral fertilizers applied to fields. The loss of ammonia to the atmosphere is frequently compensated for by costly over-application of N fertilizers. New technologies to reduce ammonia emission are regularly developed, and their efficacy needs to be tested using accurate methods. To date, a major obstacle to many available emission measurement techniques is the requirement of large plot sizes of homogeneous surface characteristics, which particularly is a challenge to the number of plot-level replicates that can be carried out on a field providing uniform surface characteristics throughout. The objectives of this research were to test three different methods for measuring NH3 flux when applied to small plots (<315 m2) by comparison with conventional micrometeorological methods and to determine the labor intensity and expenses related to the respective methods in their entirety. The integrated horizontal flux (IHF) method and the ZINST method were used with passive flux Leuning samplers as micrometeorological reference methods. As examples of conventional small-plot in situ emission measurement techniques, wind tunnels measuring gas-phase ammonia using ALPHA passive diffusion samplers and a flux chamber method using Dräger tubes for measurements of ammonia concentration (DTM) were used. As an inexpensive alternative small-plot method, we studied the feasibility of applying ALPHA passive diffusion samplers and battery-driven cup anemometers at ZINST height on small source areas (<315 m2), coupled with a backward Lagrangian stochastic (bLS) dispersion model to calculate emission fluxes (referred to as the AbLS method). When exposure duration was appropriate and weather conditions were not extreme, tests showed no significant difference in NH3 emission fluxes measured with AbLS, compared to those obtained with IHF and ZINST using Leuning samplers. However, the AbLS method did not give reliable emission measurements in periods with high wind speeds and heavy rain. It was also shown that the AbLS method provided valid results when reducing the plot radius from the standard 20 m to 10 m, or even 5 m, provided that the ALPHA samplers were exposed for at least 5 or 6 h. Emission from 200 kg urea-N ha-1 was between 20 and 30 kg N ha-1 in the two trials. The cost for one study running for one week using the ZINST or bLS methodology, including equipment for four plots and eight measurement intervals, was $2785 if horizontal fluxes were measured using the ALPHA samplers, compared to$12,301 using the Leuning samplers and $13,928 using gas washing bottles. Using the DTM flux chamber method once is a little more expensive than using the AbLS method, but less expensive if the cost of purchasing the equipment is distributed over five studies in five years. Using wind tunnels is as costly as measuring emissions with the Leuning samplers or gas washing bottles using the bLS or ZINST method