Perfect and almost perfect homogeneous polytopes

The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We classified perfect and almost perfect polytopes among all regular polytopes and all semiregular polytopes excepting Archimedean solids and two four-dimensional Gosset polytopes. Also we construct some non-regular homogeneous polytopes that are (or are not) perfect and posed some unsolved questions.Comment: 18 pages, 2 figure

Neural network analysis of hyperspectral images of soil

The article approaches to the classification of high-resolution hyperspectral images in the problem of classification of soil species is proposed. A spectral-spatial convolutional neural network with compensation for lighting variations is used as a classifier. The effectiveness of the proposed approach in the problem of classification of hyperspectral images of soils obtained by a scanning hyperspectral camera is shown. The essence of the developed method is to use binary classification together with multiclass, thereby improving the result of the latter

Hyperspectral images neural network analysis of unstained micropreparations

The article presents the results of a study of hyperspectral imaging in microscopy to assess pathological changes in unstained medical micropreparations.Hyperspectral imaging was carried out using a system of synchronous shooting and movement of a movable table combined with a stepper motor. To improve the quality of theobtained images, software correction of the illumination of the spectral channels was used. The classification was carried out by a convolutional neural network. This method may be promising for assessing pathological changes in clinical practice. Experimental studies were carried out on histological preparations with different types of tissues without staining with contrasting medical dyes. To assess the reliability of the classification method, a comparison was made with thestandard method using staining of the studied samples

Investigating Properties of Bow-Shock Pulsar Wind Nebulae

Рассчитаны модели туманностей быстролетящих пульсаров для скоростей нейтронной звезды 150, 450 и 1500 км/с, а также показателя адиабаты газа в классическом и ультра релятивистском пределах (5/3 и 4/3). Модели учитывают морфологию релятивистских течений газа и его ионизационное состояние. Впервые выполнены не-ЛТР расчет и анализ карт излучения в линии Hα, а также в линиях атомов CI, NI и ионов NII, OII, OIII и NeIV от УФ- до ИК-диапазона. Получены потоки на порядок меньшие, чем в Hα, а при подходящих условиях сравнимые с ней в случае OIII и превосходящие их почти на порядок в случае OII. Рассмотрена морфология туманностей и даны предсказания наблюдательных особенностей.We performed a calculation of bow-shock pulsar wind nebulae models for pulsar velocities of 150, 450 and 1500 km/s and adiabatic index in classical and ultrarelativistic limits. For the first time we calculated and analysed the non-LTE emissivity maps in Hα, spectral lines of CI, NI atoms and NII, OII, OIII, NeIV ions from UV to IR wavelengths. Fluxes of order of magnitude lower than Hα were obtained in most cases, but in favorable conditions were approximately equal to it or even of magnitude higher in some cases. Morphology of nebulae was investigated and predictions of observable features were given.Работа выполнена при поддержке гранта РНФ 23-22-00385. Основные вычисления были выполнены на кластере CfCA Национальной астрономической обсерватории Японии. Авторы выражают благодарность команде PLUTO за возможность использования программного пакета PLUTO