20 research outputs found

    О существовании ABA-факторизаций у спорадических групп ранга 3

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    A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B. Such a triple factorization may be sometimes degenerate to AB-factorization. The task of finding triple factorizations for a group is fundamental and can be used for understanding the group structure. For instance, every simple finite group of Lie type has a natural factorization of such a type. Besides, the triple factorization is widely used in the study of graphs, geometries and varieties. The goal of this article is to find triple factorizations for sporadic groups of rank 3. We have proved the existence theorem of ABA-factorization for sporadic simple groups McL and F i22. There exist two rank 3 permutation representations of F i22. We have proved that ABA-factorizations exist in both cases.Группу G, имеющую в качестве своих подгрупп A и B, называют ABA- группой, если каждый элемент g ∈ G можно представить в виде g = aba1, где a, a1 ∈ A, b ∈ B. Частным случаем факторизаций такого вида является AB-факторизация группы G. Поиск факторизаций группы является фундаментальной математической задачей, решение которой позволит лучше понимать ее строение. Все группы лиева типа обладают факторизацией этого вида. Кроме того, тройные факто- ризации групп автоморфизмов естественным образом возникают при изучении таких структур, как графы, многообразия и геометрии. Целью данной работы является изучение ABA-факторизаций для спорадических групп ранга 3. Для некоторых спорадических групп известны факто- ризации вида G = AB. В то же время для таких спорадических групп ранга 3, как группа МакЛафлина M cL и группа Фишера F i22, факторизации вида G = ABA до настоящего момента были неизвестны. Основным результатом статьи является доказательство существования ABA – факторизаций у спорадических групп M cL и F i22, где A – стабили- затор точки у соответствующей группы подстановок ранга 3. Для группы F i22 имеется два представления ее в качестве группы подстановок ранга 3, причем существование ABA-факторизаций доказано в обоих случаях

    ИННОВАЦИОННО-ПСИХОЛОГИЧЕСКАЯ МОДЕЛЬ В ПРОФЕССИОНАЛЬНОМ МЕДИЦИНСКОМ ОБРАЗОВАНИИ

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    There is argued in the article the need to create new models of the professional identity formation of medical specialists, which will be complementary to the purposes of the modern higher education, changing social realities and medical practices. There is proposed an innovative-psychological model of professional medical education as an interpersonal construct of the reflexive type based on new scientific data, allowing overcoming the existing dissociation of medical and psychological paradigms in the medical practice. There are analyzed the defining, professionally important qualities of the medical specialists constituted in the innovative-psychological model of interaction between the doctor and the patient, such as reflexivity, autonomy, responsibility, and trust. Following the research results, there are specified the individual and subject indicators, which are of priority for the profession of doctor and which allow intensifying his/her professional growth.В статье аргументируется необходимость построения новых моделей формирования профессиональной идентичности медиков, комплементарных целям современного высшего образования, изменяющимся социальным реалиям и медицинским практикам. Предлагается инновационно-психологическая модель профессионального медицинского образования как основанный на новых научных данных межличностный конструкт рефлексивного типа, позволяющий преодолеть существующую разобщённость медицинской и психологической парадигм в медицинской практике. Проанализированы определяющие профессионально важные качества медиков, конституированные в инновационно-психологической модели взаимодействия врача и пациента -рефлексивность, автономия, ответственность, доверие. По итогам исследования выделены приоритетные для профессии врача индивидуальные и субъектные индикаторы, позволяющие интенсифицировать его профессиональный рост

    The Existence of Triple Factorizations for Sporadic Groups of Rank 3

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    A finite group G with proper subgroups A and B has triple factorization G = ABA if every element g of G can be represented as g = aba0 , where a and a 0 are from A and b is from B. Such a triple factorization may be sometimes degenerate to AB-factorization. The task of finding triple factorizations for a group is fundamental and can be used for understanding the group structure. For instance, every simple finite group of Lie type has a natural factorization of such a type. Besides, the triple factorization is widely used in the study of graphs, geometries and varieties. The goal of this article is to find triple factorizations for sporadic groups of rank 3. We have proved the existence theorem of ABA-factorization for sporadic simple groups McL and F i22. There exist two rank 3 permutation representations of F i22. We have proved that ABA-factorizations exist in both cases

    The Path to Privatization

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    A little less than half of all deliveries are now the subject of direct barter relations between enterprises. Naturally the barter system cannot secure the normal functioning of a modern economy. And since it is impossible to restore the administrative system, the situation will deteriorate until one or another program for the liberalization of prices and economic relationsâa program of making the transition to a marketâis implemented. It is only a question of what it will be like.

    LNDb challenge on automatic lung cancer patient management

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    Lung cancer is the deadliest type of cancer worldwide and late detection is the major factor for the low survival rate of patients. Low dose computed tomography has been suggested as a potential screening tool but manual screening is costly and time-consuming. This has fuelled the development of automatic methods for the detection, segmentation and characterisation of pulmonary nodules. In spite of promising results, the application of automatic methods to clinical routine is not straightforward and only a limited number of studies have addressed the problem in a holistic way. With the goal of advancing the state of the art, the Lung Nodule Database (LNDb) Challenge on automatic lung cancer patient management was organized. The LNDb Challenge addressed lung nodule detection, segmentation and characterization as well as prediction of patient follow-up according to the 2017 Fleischner society pulmonary nodule guidelines. 294 CT scans were thus collected retrospectively at the Centro Hospitalar e Universitrio de So Joo in Porto, Portugal and each CT was annotated by at least one radiologist. Annotations comprised nodule centroids, segmentations and subjective characterization. 58 CTs and the corresponding annotations were withheld as a separate test set. A total of 947 users registered for the challenge and 11 successful submissions for at least one of the sub-challenges were received. For patient follow-up prediction, a maximum quadratic weighted Cohen's kappa of 0.580 was obtained. In terms of nodule detection, a sensitivity below 0.4 (and 0.7) at 1 false positive per scan was obtained for nodules identified by at least one (and two) radiologist(s). For nodule segmentation, a maximum Jaccard score of 0.567 was obtained, surpassing the interobserver variability. In terms of nodule texture characterization, a maximum quadratic weighted Cohen's kappa of 0.733 was obtained, with part solid nodules being particularly challenging to classify correctly. Detailed analysis of the proposed methods and the differences in performance allow to identify the major challenges remaining and future directions - data collection, augmentation/generation and evaluation of under-represented classes, the incorporation of scan-level information for better decision-making and the development of tools and challenges with clinical-oriented goals. The LNDb Challenge and associated data remain publicly available so that future methods can be tested and benchmarked, promoting the development of new algorithms in lung cancer medical image analysis and patient follow-up recommendation
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