Herald of the Kazakh-British technical university最新文献_第3页

FRACTAL GEOMETRY AND LEVEL SETS INCONTINUED FRACTIONS 分形几何与水平集无连续分数

Herald of the Kazakh-British technical university Pub Date : 2024-07-01 DOI: 10.55452/1998-6688-2024-21-2-116-126

A. Kazin, Sh. Kadyrov

{"title":"FRACTAL GEOMETRY AND LEVEL SETS INCONTINUED FRACTIONS","authors":"A. Kazin, Sh. Kadyrov","doi":"10.55452/1998-6688-2024-21-2-116-126","DOIUrl":"https://doi.org/10.55452/1998-6688-2024-21-2-116-126","url":null,"abstract":"Continued fractions offer a unique representation of real numbers as a sequence of natural numbers. Good's seminal work on continued fractions laid further research into fractal geometry and exceptional sets. This paper extends Good's findings by focusing on level sets constructed by restricting the partial quotients with lower bounds. Using elementary approaches, we establish new bounds on their Hausdorff dimension, providing theoretical insights and practical estimation methods. Additionally, we offer alternative proofs and corollaries that deepen our understanding of the relationship between continued fractions and fractal geometry. Continued fractions provide a distinctive means of expressing real numbers as a sequence of natural numbers, offering insights into the underlying structure of these numbers. Building upon Good's foundational research in continued fractions, this paper delves into the domain of fractal geometry and exceptional sets, exploring the interesting connections between these mathematical constructs. Our focus lies on investigating the Hausdorff dimension of level sets formed by constraining the partial quotients with lower bounds. Employing elementary methodologies, we present fresh theoretical bounds on Hausdorff dimension of these level sets, enriching our understanding of their geometric properties. Through combining theoretical advancements and practical techniques, this research contributes to mathematics, providing both deep theoretical insights and practical applications in understanding continued fractions and their geometric properties.","PeriodicalId":447639,"journal":{"name":"Herald of the Kazakh-British technical university","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141690224","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

NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM WITH A PARAMETER FOR IMPULSIVE LOADED DIFFERENTIAL EQUATIONS 带参数的脉冲负载微分方程边界值问题的数值求解

Herald of the Kazakh-British technical university Pub Date : 2024-07-01 DOI: 10.55452/1998-6688-2024-21-2-106-115

Zh. M. Кadirbayeva, S. M. Тemesheva, B. B. Мinglibayeva, N. M. Shaimerden

{"title":"NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM WITH A PARAMETER FOR IMPULSIVE LOADED DIFFERENTIAL EQUATIONS","authors":"Zh. M. Кadirbayeva, S. M. Тemesheva, B. B. Мinglibayeva, N. M. Shaimerden","doi":"10.55452/1998-6688-2024-21-2-106-115","DOIUrl":"https://doi.org/10.55452/1998-6688-2024-21-2-106-115","url":null,"abstract":"The boundary value problem depending on the parameter for the system of impulsive loaded differential equations is considered. Algorithms of numerical realization of the Dzhumabaev parameterization method are developed for numerical solving of the studied boundary value problem depending on the parameter. Algorithms of numerical realization of the Dzhumabaev parameterization method are based on the solving of Cauchy problems for the system of ordinary differential equations. As a result of application of the proposed method, finding a solution to the boundary value problem depending on the parameter for impulsive loaded differential equations leads to finding a solution to the system of algebraic equations. This system of algebraic equations consists of a boundary condition and equalities with respect to the conditions at the impulsive points. Numerical results showing the high efficiency of the numerical implementation of the Dzhumabaev parameterization method are given. The result demonstrate that there is congruence between the numerical and the exact results to a high order of accuracy.","PeriodicalId":447639,"journal":{"name":"Herald of the Kazakh-British technical university","volume":"204 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141692657","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

SOLUTION TO THE PROBLEM WEAKLY CONTROLLED REGRESSION USING COASSOCIATION MATRIX AND REGULARIZATION 利用共轭矩阵和正则化解决弱控制回归问题

Herald of the Kazakh-British technical university Pub Date : 2024-07-01 DOI: 10.55452/1998-6688-2024-21-2-83-94

L. Cherikbayeva, N. Mukazhanov, Z. Alibiyeva, S. Adilzhanova, G. Tyulepberdinova, M. Sakypbekova

{"title":"SOLUTION TO THE PROBLEM WEAKLY CONTROLLED REGRESSION USING COASSOCIATION MATRIX AND REGULARIZATION","authors":"L. Cherikbayeva, N. Mukazhanov, Z. Alibiyeva, S. Adilzhanova, G. Tyulepberdinova, M. Sakypbekova","doi":"10.55452/1998-6688-2024-21-2-83-94","DOIUrl":"https://doi.org/10.55452/1998-6688-2024-21-2-83-94","url":null,"abstract":"Currently, the theory and methods of machine learning (ML) are rapidly developing and are increasingly used in various fields of science and technology, in particular in manufacturing, education and medicine. Weakly supervised learning is a subset of machine learning research that aims to develop models and methods for analyzing various types of information. When formulating a weakly supervised learning problem, it is assumed that some objects in the model are not defined correctly. This inaccuracy can be understood in different ways. Weakly supervised learning is a type of machine learning method in which a model is trained using incomplete, inaccurate, or imprecise observation signals rather than using fully validated data. Weakly supervised learning often occurs in real-world problems for various reasons. This may be due to the high cost of the data labeling process, low sensor accuracy, lack of expert experience, or human error. For example, labeling of poor control is carried out in cases obtained by crowdsourcing methods: for each object there is a set of different assessments, the quality of which depends on the skill of the performers. Another example is the problem of object detection in an image. Boundary lines are a common way to indicate the location and size of objects detected in an image in object detection tasks. The article presents an algorithm for solving a multi-objective weakly supervised regression problem using the Wasserstein metric, various regularizations and a co-association matrix as a similarity matrix. The work also improved the algorithm for calculating the weighted average co-association matrix. We compare the proposed algorithm with existing supervised learning and unsupervised learning algorithms on synthetic and real data.","PeriodicalId":447639,"journal":{"name":"Herald of the Kazakh-British technical university","volume":"15 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141702920","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

EXACT ESTIMATES OF REGULAR FUNCTIONS AND RADII OF CONVEXITY AND STARLIKENESS OF SOME CLASSES OF STARLIKE AND CLOSE-TO-STARLIKE FUNCTIONS 正则函数的精确估算以及一些类星函数和近似星函数的凸性和星性半径

Herald of the Kazakh-British technical university Pub Date : 2024-07-01 DOI: 10.55452/1998-6688-2024-21-2-127-138

F. Maiyer, M. Tastanov, A. Utemissova, R. Ysmagul

{"title":"EXACT ESTIMATES OF REGULAR FUNCTIONS AND RADII OF CONVEXITY AND STARLIKENESS OF SOME CLASSES OF STARLIKE AND CLOSE-TO-STARLIKE FUNCTIONS","authors":"F. Maiyer, M. Tastanov, A. Utemissova, R. Ysmagul","doi":"10.55452/1998-6688-2024-21-2-127-138","DOIUrl":"https://doi.org/10.55452/1998-6688-2024-21-2-127-138","url":null,"abstract":"It is known that many problems for subclasses of univalent functions can be transformed into problems of minimizing or maximizing some functionals associated with the studied subclasses of univalent functions. Often, the logarithmic derivative of regular functions acts as such a functional. In this paper, we introduce a two-parameter subclass of functions regular in the unit circle with a positive real part, the expansion into a series of which begins with the nth degree. This class generalizes the well-known R.Goel and D.Shaffer class of regular functions whose values are contained in a circle symmetric with respect to the real axis containing the point 0 on the boundary. In this class of functions, exact estimates of various functionals, including the logarithmic derivative, are obtained. As applications of these estimates, the exact radii of convexity (or starlikeness) of various classes of starlike and close-to-starlike functions given using the class are found. All the results obtained are accurate and generalize many of the previously known results. The application of the estimates obtained in the article is promising, as it contributes to the theory of extreme problems associated with various subclasses of univalent functions.","PeriodicalId":447639,"journal":{"name":"Herald of the Kazakh-British technical university","volume":"46 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141697968","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

INVARIANT POLYNOMIALS WITH APPLICATIONS TO QUANTUM COMPUTING 不变量多项式在量子计算中的应用

Herald of the Kazakh-British technical university Pub Date : 2024-07-01 DOI: 10.55452/1998-6688-2024-21-2-95-105

A. Amanov

{"title":"INVARIANT POLYNOMIALS WITH APPLICATIONS TO QUANTUM COMPUTING","authors":"A. Amanov","doi":"10.55452/1998-6688-2024-21-2-95-105","DOIUrl":"https://doi.org/10.55452/1998-6688-2024-21-2-95-105","url":null,"abstract":"In quantum information theory, understanding the complexity of entangled states within the context of SLOCC (stochastic local operations and classical communications) involving d qubits (or qudits) is essential for advancing our knowledge of quantum systems. This complexity is often analyzed by classifying the states via local symmetry groups. The resulting classes can be distinguished using invariant polynomials, which serve as a measure of entanglement. This paper introduces a novel method for obtaining invariant polynomials of the smallest degrees, which significantly enhances the efficiency of characterizing SLOCC classes of entangled quantum states. Our method not only simplifies the process of identifying these classes but also provides a robust tool for analyzing the entanglement properties of complex quantum systems. As a practical application, we demonstrate the derivation of minimal degree invariants in specific cases, illustrating the effectiveness of our approach in real-world scenarios. This advancement has the potential to streamline various processes in quantum information theory, making it easier to understand, classify, and utilize entangled states effectively.","PeriodicalId":447639,"journal":{"name":"Herald of the Kazakh-British technical university","volume":"63 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141701922","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

NUMERICAL MODELING OF OIL AND PETROLEUM PRODUCTS DISTRIBUTION IN CASE OF AN EMERGENCY SPILL ON THE WATER SURFACE 紧急溢出水面时石油和石油产品分布的数值模拟

Herald of the Kazakh-British technical university Pub Date : 2024-07-01 DOI: 10.55452/1998-6688-2024-21-2-139-151

A. E. Shalymova, A. A. Issakhov

引用次数: 0

APPLICATION PROGRESS OF INSITU POLYMER GEL IN OILFIELD CONFORMANCE CONTROL TREATMENT 原位聚合物凝胶在油田一致性控制处理中的应用进展

Herald of the Kazakh-British technical university Pub Date : 2024-03-26 DOI: 10.55452/1998-6688-2024-21-1-149-160

Shilong Pan, Wanli Kang, Haizhuang Jiang, Junyi Zhang, Haocong Li, B. Sarsenbekuly, Hongbin Yang

{"title":"APPLICATION PROGRESS OF INSITU POLYMER GEL IN OILFIELD CONFORMANCE CONTROL TREATMENT","authors":"Shilong Pan, Wanli Kang, Haizhuang Jiang, Junyi Zhang, Haocong Li, B. Sarsenbekuly, Hongbin Yang","doi":"10.55452/1998-6688-2024-21-1-149-160","DOIUrl":"https://doi.org/10.55452/1998-6688-2024-21-1-149-160","url":null,"abstract":"Many oilfields around the world are using enhanced oil recovery methods to maximize oil production. Longterm water flooding processes have led to water channeling in mature reservoirs, which is a severe problem in oilfields. Polymer gel is widely used as a plugging agent to reduce water production. Previously, the conventional polymer gel is extensively used for blocking the thief zones, but the performance of conventional polymer gel is not satisfactory in high salinity and high temperature conditions due to rapid syneresis and thermal degradation. The amphiphilic polymer is taking much attention for polymer gel formulation because they are more salt resistant in low concentration compared to high concentration conventional HPAM polymer. In this paper, the crosslinking mechanism of insitu polymer gel is reviewed. The related difficulties and development prospects of polymer gels are presented. It provides a basis for the application of polymer gel in oilfield conformance control treatment. This will help researchers to develop polymer gels to improve oil recovery under economic conditions to meet the requirements of oilfields.","PeriodicalId":447639,"journal":{"name":"Herald of the Kazakh-British technical university","volume":"107 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140379481","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

SYNTHESIS OF MULTICOMPONENT ZRO2:WO3:AL2O3:MGO 多组分 Zro2:wo3:al2o3:mgo 的合成

Herald of the Kazakh-British technical university Pub Date : 2024-03-26 DOI: 10.55452/1998-6688-2024-21-1-114-122

Yuriy A. Garanin, R. I. Shakirzyanov, A. Kozlovskiy, D. Shlimas, D. Borgekov

引用次数: 0

MATHEMATICAL THEORY OF THE INCLINED PLANE 斜面数学理论

Herald of the Kazakh-British technical university Pub Date : 2024-03-26 DOI: 10.55452/1998-6688-2024-21-1-103-113

T. Koshtybayev, E. Kutkeldiyeva, K. Kzhantleuov, E. Zhamenkeev

引用次数: 0

THE EFFECT OF PLASMA SURFACE TREATMENT ON THE STRUCTURE OF THE LEAD SULFIDE FILM 等离子体表面处理对硫化铅薄膜结构的影响

Herald of the Kazakh-British technical university Pub Date : 2024-03-26 DOI: 10.55452/1998-6688-2024-21-1-123-129

G. Amirbekova, Zh. K. Tolepov, N. Guseinov, M. A. Tulegenova, T. Kuanyshbekov, Y. Arynbek

{"title":"THE EFFECT OF PLASMA SURFACE TREATMENT ON THE STRUCTURE OF THE LEAD SULFIDE FILM","authors":"G. Amirbekova, Zh. K. Tolepov, N. Guseinov, M. A. Tulegenova, T. Kuanyshbekov, Y. Arynbek","doi":"10.55452/1998-6688-2024-21-1-123-129","DOIUrl":"https://doi.org/10.55452/1998-6688-2024-21-1-123-129","url":null,"abstract":"In this work, the effect of the substrate surface on the formation of structured lead sulfide films is studied. For this purpose, the surface of single-crystalline silicon (100) was subjected to plasma treatment in a glow discharge in an argon atmosphere, at a working pressure of 1 Pa and a potential difference across the electrodes of 2 kV. Lead sulfide films were obtained on treated and untreated single-crystalline silicon surfaces by chemical deposition from an aqueous solution of lead nitrate, thiourea and sodium hydroxide at a temperature of 70°C for 30 minutes. The surface morphology, elemental composition, and crystal structure were studied by scanning electron microscopy, energy dispersive analysis, and X-ray diffraction, respectively. As a result, the films deposited on pretreated substrates have a distinctly different surface structure compared to films deposited on untreated substrates. Under the same synthesis conditions, the growth of crystals on the treated surface occurred predominantly along certain lines and were grouped into individual particles, while on the untreated surface a continuous film was formed. Thus, through plasma treatment, crystal growth can be controlled to create nanostructures.","PeriodicalId":447639,"journal":{"name":"Herald of the Kazakh-British technical university","volume":"111 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140379301","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