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EXAMPLES OF LINEAR ORDERS WITH A DEFINABLE UNARY FUNCTION AND THE INDEPENDENCE PROPERTY 具有可定义一元函数的线性阶的例子及其独立性

Ķazaķstan-Britan tehnikalyķ universitetìnìņ habaršysy Pub Date : 2023-10-01 DOI: 10.55452/1998-6688-2023-20-3-45-50

V. Verbovskiy, A. Yershigeshova

{"title":"EXAMPLES OF LINEAR ORDERS WITH A DEFINABLE UNARY FUNCTION AND THE INDEPENDENCE PROPERTY","authors":"V. Verbovskiy, A. Yershigeshova","doi":"10.55452/1998-6688-2023-20-3-45-50","DOIUrl":"https://doi.org/10.55452/1998-6688-2023-20-3-45-50","url":null,"abstract":"After the appearance of the concept of o-minimality, which was introduced by L. van den Dries for expansions of the ordered field of real numbers and generalized to arbitrary linear orders by A. Pillay and C. Steinhorn, linearly ordered structures became firmly established in the circle of interests of specialists in model theory. Numerous generalizations of the concept of o-minimality have appeared in the works of various authors, such as weak o-minimality, quasi-o- minimality, weak quasi-o-minimality, dp-minimality, and o-stability. B. S. Baizhanov and V. V. Verbovskiy proved that o-stability generalizes all the above concepts for linearly ordered structures and that o-stability entails the absence of the independence property. They also proved that any linear order has an o-superstable theory. V. V. Verbovskiy studied o-stable ordered groups, in particular, he proved that they are commutative. In this paper, we begin the study of the question of how complex the theory of a linear order with one unary function can be. We construct an example of an expansion of a linearly ordered structure with one unary function, which has the independence property.","PeriodicalId":473042,"journal":{"name":"Ķazaķstan-Britan tehnikalyķ universitetìnìņ habaršysy","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134934279","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

THE EFFECT OF THERMOPHYSIZAL PROPERTIES OF FLUIDS ON CONVECTIVE HEAT TRANSFER IN ELECTRONIC DEVICES 流体热物理性质对电子器件中对流换热的影响

Ķazaķstan-Britan tehnikalyķ universitetìnìņ habaršysy Pub Date : 2023-10-01 DOI: 10.55452/1998-6688-2023-20-3-26-37

А. А. Issakhov, К. Е. Baibatyrova

引用次数: 0

COMPARISON AND ANALYSIS OF DIFFERENT MACHINE LEARNING METHODS ON ASTEROID DIAMETER PREDICTIONS BASED ON THE NASA SMALL CELESTIAL BODIES DATABASE 基于NASA小天体数据库的不同机器学习方法在小行星直径预测中的比较分析

Ķazaķstan-Britan tehnikalyķ universitetìnìņ habaršysy Pub Date : 2023-09-30 DOI: 10.55452/1998-6688-2023-20-3-7-16

B. E. Duisek, D. D. Sarsembin, K. A. Abdurazak

{"title":"COMPARISON AND ANALYSIS OF DIFFERENT MACHINE LEARNING METHODS ON ASTEROID DIAMETER PREDICTIONS BASED ON THE NASA SMALL CELESTIAL BODIES DATABASE","authors":"B. E. Duisek, D. D. Sarsembin, K. A. Abdurazak","doi":"10.55452/1998-6688-2023-20-3-7-16","DOIUrl":"https://doi.org/10.55452/1998-6688-2023-20-3-7-16","url":null,"abstract":"The database of small celestial bodies NASA is provided by the Jet Propulsion Laboratory and represents the collected information about asteroids and comets, describing their parameters available for observation and determination, including physical ones, as well as their classification and data on the number and duration of observation. Many of these celestial techs have an incomplete description of their properties, which makes it difficult to predict their behavior and potential interaction with other objects in space, including man-made ones. This study proposes a solution to a certain part of the problems of asteroid exploration by finding a prediction of the diameter of asteroids based on information from the NASA database and the results of machine learning methods on processed data from the source. For this research, some of the most commonly used algorithms for implementing such prediction models have been selected, such as KNN, linear regression, random forest, decision trees, and gradient boosting. Applied machine learning algorithms were evaluated based on the results of diameter prediction accuracy, speed of training and prediction process, and square mean error rates. The study will help to choose the most optimal approach for predicting this feature of asteroids, describe the process of data pre-processing, while achieving the best performance of the model, and analyze the correlations between the properties of these celestial bodies.","PeriodicalId":473042,"journal":{"name":"Ķazaķstan-Britan tehnikalyķ universitetìnìņ habaršysy","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136345929","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

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