31 research outputs found

    Π”ΠΈΠ½Π°ΠΌΠΈΠΊΠ° охлаТдСния мСталличСской мишСни послС воздСйствия ΠΈΠΌΠΏΡƒΠ»ΡŒΡΠ½ΠΎΠ³ΠΎ ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΠΏΡƒΡ‡ΠΊΠ°

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    ΠŸΡ€Π΅Π΄ΡΡ‚Π°Π²Π»Π΅Π½Ρ‹ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ исслСдования Π΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ остывания мСталличСской мишСни послС воздСйствия Π½Π° Π½Π΅Π΅ ΠΈΠΌΠΏΡƒΠ»ΡŒΡΠ½ΠΎΠ³ΠΎ ΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ ΠΏΡƒΡ‡ΠΊΠ° с ΠΏΠ»ΠΎΡ‚Π½ΠΎΡΡ‚ΡŒΡŽ энСргии 3-5 Π”ΠΆ/см2. ЭкспСримСнты ΠΏΡ€ΠΎΠ²Π΅Π΄Π΅Π½Ρ‹ Π½Π° ΠΈΠΎΠ½Π½ΠΎΠΌ ускоритСлС Π’Π•ΠœΠŸ-4М (Π΄Π»ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΡΡ‚ΡŒ ΠΈΠΌΠΏΡƒΠ»ΡŒΡΠ° - 150 нс, ΡƒΡΠΊΠΎΡ€ΡΡŽΡ‰Π΅Π΅ напряТСниС - 250-300 ΠΊΠ’). Π”ΠΈΠ½Π°ΠΌΠΈΠΊΡƒ остывания Ρ‚Π΅ΠΏΠ»ΠΎΠ²ΠΎΠ³ΠΎ ΠΎΡ‚ΠΏΠ΅Ρ‡Π°Ρ‚ΠΊΠ°, Ρ„ΠΎΡ€ΠΌΠΈΡ€ΡƒΠ΅ΠΌΠΎΠ³ΠΎ ΠΌΠΎΡ‰Π½Ρ‹ΠΌ ΠΈΠΎΠ½Π½Ρ‹ΠΌ ΠΏΡƒΡ‡ΠΊΠΎΠΌ Π½Π° мишСни, рСгистрировали Π² Ρ€Π΅ΠΆΠΈΠΌΠ΅ Π²ΠΈΠ΄Π΅ΠΎ съСмки с ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ Ρ‚Π΅ΠΏΠ»ΠΎΠ²ΠΈΠ·ΠΎΡ€Π°. Π’Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ Π°Π½Π°Π»ΠΈΠ· ΠΈ ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ физичСского ΠΌΠ΅Ρ…Π°Π½ΠΈΠ·ΠΌΠ° охлаТдСния мишСни Π² Ρ€Π°Π·Π½Ρ‹Ρ… ΡΠΊΡΠΏΠ΅Ρ€ΠΈΠΌΠ΅Π½Ρ‚Π°Π»ΡŒΠ½Ρ‹Ρ… условиях: Π² Π²Π°ΠΊΡƒΡƒΠΌΠ½ΠΎΠΉ Π΄ΠΈΠΎΠ΄Π½ΠΎΠΉ ΠΊΠ°ΠΌΠ΅Ρ€Π΅ ускоритСля ΠΈ Π½Π° Π²ΠΎΠ·Π΄ΡƒΡ…Π΅

    THE STATE POLICY OF SERVICE SECTOR DEVELOPMENT IN THE REPUBLIC OF KAZAKHSTAN

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    Currently, the service sector is one of the fastest growing sectors in Kazakhstan, so the study of the service sector and the governmental intervention in it is essential, as it allows one to choose the instruments and limits of the support. The aim of the article is to study and describe the increasing role of the modern state policy of Kazakhstan in the development of the service sector, based on a study of the impact of public investment and government programs. The paper shows the following results: 1. Implementation of state industrial programs in Kazakhstan leads to an increase in the services sector (expressed in the GDP structure and employment); 2. For Kazakhstan, there is still a high influence of public investments in the service sector, in contrast to Russia; 3. The highest rates of innovation activity in the service sector are in the fields associated with active government presence

    THE STATE POLICY OF SERVICE SECTOR DEVELOPMENT IN THE REPUBLIC OF KAZAKHSTAN

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    Currently, the service sector is one of the fastest growing sectors in Kazakhstan, so the study of the service sector and the governmental intervention in it is essential, as it allows one to choose the instruments and limits of the support. The aim of the article is to study and describe the increasing role of the modern state policy of Kazakhstan in the development of the service sector, based on a study of the impact of public investment and government programs. The paper shows the following results: 1. Implementation of state industrial programs in Kazakhstan leads to an increase in the services sector (expressed in the GDP structure and employment); 2. For Kazakhstan, there is still a high influence of public investments in the service sector, in contrast to Russia; 3. The highest rates of innovation activity in the service sector are in the fields associated with active government presence

    EXPLORING THE MITIGATION OF GREENHOUSE GAS EMISSIONS FROM THE CURRENT MUNICIPAL SOLID WASTE SYSTEM OF KAZAKHSTAN: CASE STUDY OF NUR-SULTAN CITY

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    As we move forward, municipal solid waste (MSW) landfills, particularly in developing countries, contribute notably to global greenhouse gas (GHG) emissions. Therefore, the MSW sector plays a key role in planning strategies for developing countries such as Kazakhstan to decrease GHG emissions. With respect to the Paris Agreement, Kazakhstan has set the target of reducing GHG emissions to 15-25% by 2030 compared to the level of 1991, which will undoubtedly require certain measures in the field of MSW management. Several recent articles have been published on the waste management sector of Kazakhstan; however, none have explicitly focused on the impact of greenhouse gas emissions and possible pathways towards sustainable management. Thus, this paper describes the existing MSW system in Nur Sultan city as representative for the rest of the country. The quantitative evaluation of GHG emissions from the existing MSW system in the capital is carried out based on the IPCC methodology using the SWM-GHG calculator developed by the Institute for Energy and Environmental Research (IFEU). An assessment and cost analysis of a set of several suitable MSW management scenarios, such as scenario 1: existing case (15% recycling rate and 85% disposal), scenario 2: 30% recyclable materials, and 70% sanitary landfill with gas collection; scenario 3: 30% recyclable materials and 70% biological stabilization and landfill without gas collection; scenario 4: 30% recyclable materials, 20% composting and 50% waste to be sent to the WtE plant (incineration). The level of GHG emissions decreases with the introduction of more integrated waste management methods, but requires more financial investments. Therefore, Scenario 3 is the most efficient to implement in terms of the combination of cost of €19.4 million/year and magnitude of GHG emissions of 48 kt of CO2 eq/year. The outcomes of this work will help to extrapolate the model to other large cities in Kazakhsta

    MACROPOROUS CELL-LADEN GELATIN/HYALURONIC ACID/CHONDROITIN SULFATE CRYOGELS FOR ENGINEERED TISSUE CONSTRUCTS

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    Cryogels are a unique macroporous material for tissue engineering. In this work, we study the effect of hyaluronic acid on the physicochemical properties of cryogel as well as on the proliferation of a 3D model of mesenchymal stem cells. The functional groups of the synthesized cryogels were identified using Fourier transform infrared spectroscopy. With an increase in the content of hyaluronic acid in the composition of the cryogel, an increase in porosity, gel content and swelling behavior was observed. As the hyaluronic acid content increased, the average pore size increased and more open pores were formed. Degradation studies have shown that all cryogels were resistant to PBS solution for 8 weeks. Cytotoxicity assays demonstrated no toxic effect on viability of rat adipose-derived mesenchymal stem cells (ADMSCs) cultured on cryogels. ADMSC spheroids were proliferated on scaffolds and showed the ability of the cryogels to orient cell differentiation into chondrogenic lineage even in the absence of inductive agents. Thus, our results demonstrate an effective resemblance to extracellular matrix structures specific to cartilage-like microenvironments by cryogels and their further perspective application as potential biomaterials

    Characteristics of cholera strains isolated in Kazakhstan

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    In the Republic of Kazakhstan there are three types of areas with different cholera infection risk levels for people. Within cholera epidemiological surveillance the cholera strains are annually isolated from people and the environment. In this research, we studied the cholera strains isolated in Kazakhstan for 2013-2015 and they were selected for this study. All cholera strains were locally isolatedfrom people and the environment except one toxigenic imported strain of V. cholerae 01 lnaba which had genes of ctxAB, tcpA. The study showed that there were V cholerae strains which were atypical by their agglutination abilities and sensitivity to cholera phages. It can complicate the cholera laboratory diagnostics especially the diagnostics of V. cholerae О1 and for timely recognition of cholera it is necessary to carry out the diagnostics combined with molecular and genetic methods. For the study of antibiotic sensitivity or resistance we use eight antibacterial preparations. Cholera strains isolated in Kazakhstan did not have antibiotic resistance to the studied preparations. But the cholera strain brought from Pakistan was resistant to ciprofloxacin. The lack of strong resistance of local strains to the antibacterial drugs studied is encouraging in terms of conducting aetiotropic therapy. However, the possibility of entering of antibiotic-resistant strains into Kazakhstan obliges regularly to monitor strains for their sensitivity to antibacterial drugs

    ΠŸΡ€ΠΎΠ±Π»Π΅ΠΌΡ‹ обучСния студСнтов Π½Π° английском языкС (EMI) Π² унивСрситСтах ΠšΠ°Π·Π°Ρ…ΡΡ‚Π°Π½Π°

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    Introduction. Fascination with English medium instruction (EMI) is fast growing in higher education institutions in non-native English-speaking countries, including Kazakhstan. The Kazakhstani government adopted a trilingual education policy in 2007 and the Bologna Process in 2010. Both these initiatives motivated universities to offer academic programmes in the English language. As a result, EMI programmes are offered in over 70 higher education institutions across Kazakhstan. In addition, there are four major Kazakhstani universities which offer academic programmes in English only. Despite the increase in the number of EMI programmes, there is a lack of empirical evidence about the difficulties and challenges faced by students in the EMI programmes. Aim. The present study aimed to investigate the nature, forms, and levels of challenges graduate students face in academic reading and writing in English and the way they cope with these challenges. The study was conducted with graduate students and faculty in 10 selected Kazakhstani universities, which offer academic programmes in EMI. Research methodology and methods. The study is based on a mixed-method design, involving an online survey and semi-structured interviews. The closed-ended questions have been analysed using SPSS software (Statistical Package for the Social Sciences). The grounded theory analysis was utilised to scrutinise open-ended questions and interview transcripts. Results and scientific novelty. The study’s results indicated two major challenges faced by graduate students in academic reading and writing: the personal-psychological challenge and sociological challenge. The first challenge includes students’ previous academic backgrounds, exposure, and learning experiences. The second challenge is related to English academic culture and students’ worldviews, concepts, and values about English as a language and medium of instruction. As a result, graduate students experienced a lack of vocabulary, inadequate academic literacy skills, unfamiliarity with academic writing styles in English, and lack of skills to synthesise reading materials. Practical significance. Hence, this study recommends systematising English language programmes across secondary and higher education institutions to help students acquire advanced English language proficiency. Also, the study results suggest that local faculty members should be trained according to international standards in terms of their English language skills and innovative teaching methods.Π’Π²Π΅Π΄Π΅Π½ΠΈΠ΅. Π˜Π½Ρ‚Π΅Ρ€Π΅Ρ ΠΊ ΠΎΠ±ΡƒΡ‡Π΅Π½ΠΈΡŽ Π½Π° английском языкС (English Medium Instruction – EMI) быстро растСт Π² Π²Ρ‹ΡΡˆΠΈΡ… ΡƒΡ‡Π΅Π±Π½Ρ‹Ρ… завСдСниях стран, для ΠΊΠΎΡ‚ΠΎΡ€Ρ‹Ρ… английский язык Π½Π΅ являСтся Ρ€ΠΎΠ΄Π½Ρ‹ΠΌ, Π²ΠΊΠ»ΡŽΡ‡Π°Ρ ΠšΠ°Π·Π°Ρ…ΡΡ‚Π°Π½. ΠŸΡ€Π°Π²ΠΈΡ‚Π΅Π»ΡŒΡΡ‚Π²ΠΎ страны приняло ΠΏΠΎΠ»ΠΈΡ‚ΠΈΠΊΡƒ Ρ‚Ρ€Π΅Ρ…ΡŠΡΠ·Ρ‹Ρ‡Π½ΠΎΠ³ΠΎ образования Π² 2007 Π³ΠΎΠ΄Ρƒ ΠΈ Болонский процСсс Π² 2010 Π³ΠΎΠ΄Ρƒ. ОбС эти ΠΈΠ½ΠΈΡ†ΠΈΠ°Ρ‚ΠΈΠ²Ρ‹ ΠΏΠΎΠ±ΡƒΠ΄ΠΈΠ»ΠΈ унивСрситСты ΠΏΡ€Π΅Π΄Π»Π°Π³Π°Ρ‚ΡŒ акадСмичСскиС ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΡ‹ Π½Π° английском языкС. Π’ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Π΅ ΠΎΠ½ΠΈ появились Π² 70 Π²ΡƒΠ·Π°Ρ… ΠšΠ°Π·Π°Ρ…ΡΡ‚Π°Π½Π°. Π‘ΠΎΠ»Π΅Π΅ Ρ‚ΠΎΠ³ΠΎ, Π½Π° Π΄Π°Π½Π½Ρ‹ΠΉ ΠΌΠΎΠΌΠ΅Π½Ρ‚ Π΅ΡΡ‚ΡŒ Ρ‡Π΅Ρ‚Ρ‹Ρ€Π΅ ΠΊΡ€ΡƒΠΏΠ½Ρ‹Ρ… унивСрситСта с акадСмичСскими ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΠ°ΠΌΠΈ ΠΈΡΠΊΠ»ΡŽΡ‡ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎ Π½Π° английском языкС. НСсмотря Π½Π° ΡƒΠ²Π΅Π»ΠΈΡ‡Π΅Π½ΠΈΠ΅ количСства ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌ EMI, ΠΎΡ‚ΡΡƒΡ‚ΡΡ‚Π²ΡƒΡŽΡ‚ эмпиричСскиС Π΄Π°Π½Π½Ρ‹Π΅ ΠΎ трудностях ΠΈ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΠ°Ρ…, с ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΌΠΈ Π² Π½ΠΈΡ… ΡΡ‚Π°Π»ΠΊΠΈΠ²Π°ΡŽΡ‚ΡΡ студСнты. ЦСль. Π”Π°Π½Π½ΠΎΠ΅ исслСдованиС ΠΈΠ·ΡƒΡ‡Π°Π΅Ρ‚ ΠΏΡ€ΠΈΡ€ΠΎΠ΄Ρƒ, Ρ„ΠΎΡ€ΠΌΡ‹ ΠΈ ΡƒΡ€ΠΎΠ²Π½ΠΈ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌ, с ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΌΠΈ ΡΡ‚Π°Π»ΠΊΠΈΠ²Π°ΡŽΡ‚ΡΡ магистранты ΠΈ Π΄ΠΎΠΊΡ‚ΠΎΡ€Π°Π½Ρ‚Ρ‹ ΠΏΡ€ΠΈ акадСмичСском Ρ‡Ρ‚Π΅Π½ΠΈΠΈ ΠΈ письмС Π½Π° английском языкС, Π° Ρ‚Π°ΠΊΠΆΠ΅ Ρ‚ΠΎ, ΠΊΠ°ΠΊ ΠΎΠ½ΠΈ ΡΠΏΡ€Π°Π²Π»ΡΡŽΡ‚ΡΡ с этими ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΠ°ΠΌΠΈ. ИсслСдованиС ΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΈΠ»ΠΎΡΡŒ срСди студСнтов магистратуры ΠΈ Π΄ΠΎΠΊΡ‚ΠΎΡ€Π°Π½Ρ‚ΡƒΡ€Ρ‹, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΠΏΡ€Π΅ΠΏΠΎΠ΄Π°Π²Π°Ρ‚Π΅Π»Π΅ΠΉ ΠΈΠ· 10 Π²Ρ‹Π±Ρ€Π°Π½Π½Ρ‹Ρ… казахстанских Π²ΡƒΠ·ΠΎΠ², ΠΏΡ€Π΅Π΄Π»Π°Π³Π°ΡŽΡ‰ΠΈΡ… акадСмичСскиС ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΡ‹ с EMI. ΠœΠ΅Ρ‚ΠΎΠ΄ΠΎΠ»ΠΎΠ³ΠΈΡ ΠΈ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρ‹ исслСдования. ИсслСдованиС ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΡƒΠ΅Ρ‚ Π΄ΠΈΠ·Π°ΠΉΠ½ ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡ€ΠΎΠ²Π°Π½Π½Ρ‹Ρ… ΠΌΠ΅Ρ‚ΠΎΠ΄ΠΎΠ², Π²ΠΊΠ»ΡŽΡ‡Π°ΡŽΡ‰ΠΈΠΉ ΠΎΠ½Π»Π°ΠΉΠ½-опрос ΠΈ полуструктурированныС ΠΈΠ½Ρ‚Π΅Ρ€Π²ΡŒΡŽ. Π—Π°ΠΊΡ€Ρ‹Ρ‚Ρ‹Π΅ вопросы Π±Ρ‹Π»ΠΈ ΠΏΡ€ΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Π½Ρ‹ с ΠΏΠΎΠΌΠΎΡ‰ΡŒΡŽ статистичСского ΠΏΠ°ΠΊΠ΅Ρ‚Π° (SPSS). ΠœΠ΅Ρ‚ΠΎΠ΄ обоснованной Ρ‚Π΅ΠΎΡ€ΠΈΠΈ Π±Ρ‹Π» использован для ΠΏΠΎΠ΄Ρ€ΠΎΠ±Π½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° ΠΎΡ‚ΠΊΡ€Ρ‹Ρ‚Ρ‹Ρ… вопросов ΠΈ транскриптов ΠΈΠ½Ρ‚Π΅Ρ€Π²ΡŒΡŽ. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ ΠΈ научная Π½ΠΎΠ²ΠΈΠ·Π½Π°. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ исслСдования выявили Π΄Π²Π΅ основныС ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΡ‹, с ΠΊΠΎΡ‚ΠΎΡ€Ρ‹ΠΌΠΈ ΡΡ‚Π°Π»ΠΊΠΈΠ²Π°ΡŽΡ‚ΡΡ студСнты ΠΏΡ€ΠΈ акадСмичСском Ρ‡Ρ‚Π΅Π½ΠΈΠΈ ΠΈ письмС: личностно-психологичСская ΠΈ социологичСская. ΠŸΠ΅Ρ€Π²Π°Ρ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΠ° Π²ΠΊΠ»ΡŽΡ‡Π°Π΅Ρ‚ Π² сСбя ΠΏΡ€Π΅Π΄Ρ‹Π΄ΡƒΡ‰ΠΈΠΉ акадСмичСский ΠΎΠΏΡ‹Ρ‚ студСнтов, Π° Ρ‚Π°ΠΊΠΆΠ΅ ΠΎΠΏΡ‹Ρ‚ обучСния. Вторая ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΠ° связана с английской акадСмичСской ΠΊΡƒΠ»ΡŒΡ‚ΡƒΡ€ΠΎΠΉ ΠΈ ΠΌΠΈΡ€ΠΎΠ²ΠΎΠ·Π·Ρ€Π΅Π½ΠΈΠ΅ΠΌ, концСпциями ΠΈ цСнностями студСнтов Π² ΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΠΈ английского языка ΠΊΠ°ΠΊ языка ΠΈ срСдства обучСния. Π’ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Π΅ студСнты ΡΡ‚ΠΎΠ»ΠΊΠ½ΡƒΠ»ΠΈΡΡŒ со ΡΠ»Π΅Π΄ΡƒΡŽΡ‰ΠΈΠΌΠΈ трудностями: Π½Π΅Ρ…Π²Π°Ρ‚ΠΊΠ° словарного запаса, нСдостаточныС Π½Π°Π²Ρ‹ΠΊΠΈ акадСмичСской грамотности, Π½Π΅Π·Π½Π°Π½ΠΈΠ΅ стилСй акадСмичСского письма Π½Π° английском языкС ΠΈ отсутствиС Π½Π°Π²Ρ‹ΠΊΠΎΠ² синтСзирования ΠΏΡ€ΠΎΡ‡ΠΈΡ‚Π°Π½Π½ΠΎΠ³ΠΎ. ΠŸΡ€Π°ΠΊΡ‚ΠΈΡ‡Π΅ΡΠΊΠ°Ρ Π·Π½Π°Ρ‡ΠΈΠΌΠΎΡΡ‚ΡŒ. Π’Π°ΠΊΠΈΠΌ ΠΎΠ±Ρ€Π°Π·ΠΎΠΌ, Π΄Π°Π½Π½ΠΎΠ΅ исслСдованиС Ρ€Π΅ΠΊΠΎΠΌΠ΅Π½Π΄ΡƒΠ΅Ρ‚ ΡΠΈΡΡ‚Π΅ΠΌΠ°Ρ‚ΠΈΠ·ΠΈΡ€ΠΎΠ²Π°Ρ‚ΡŒ ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΡ‹ изучСния английского языка Π² срСдних ΠΈ Π²Ρ‹ΡΡˆΠΈΡ… ΡƒΡ‡Π΅Π±Π½Ρ‹Ρ… завСдСниях, Ρ‡Ρ‚ΠΎΠ±Ρ‹ ΠΏΠΎΠΌΠΎΡ‡ΡŒ учащимся ΠΎΠ²Π»Π°Π΄Π΅Ρ‚ΡŒ английским языком Π½Π° ΠΏΡ€ΠΎΠ΄Π²ΠΈΠ½ΡƒΡ‚ΠΎΠΌ ΡƒΡ€ΠΎΠ²Π½Π΅. ΠšΡ€ΠΎΠΌΠ΅ Ρ‚ΠΎΠ³ΠΎ, Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ исслСдования ΠΏΠΎΠΊΠ°Π·Ρ‹Π²Π°ΡŽΡ‚, Ρ‡Ρ‚ΠΎ мСстныС ΠΏΡ€Π΅ΠΏΠΎΠ΄Π°Π²Π°Ρ‚Π΅Π»ΠΈ Π΄ΠΎΠ»ΠΆΠ½Ρ‹ Π±Ρ‹Ρ‚ΡŒ ΠΎΠ±ΡƒΡ‡Π΅Π½Ρ‹ Π² соотвСтствии с ΠΌΠ΅ΠΆΠ΄ΡƒΠ½Π°Ρ€ΠΎΠ΄Π½Ρ‹ΠΌΠΈ стандартами, Π²ΠΊΠ»ΡŽΡ‡Π°Ρ Π½Π°Π²Ρ‹ΠΊΠΈ английского языка ΠΈ ΠΈΠ½Π½ΠΎΠ²Π°Ρ†ΠΈΠΎΠ½Π½Ρ‹Π΅ ΠΌΠ΅Ρ‚ΠΎΠ΄Ρ‹ обучСния.The research study is funded by Nazarbayev University under Collaborative Research Programme Grant β„– 021220CRP1322.ИсслСдованиС финансируСтся НазарбаСв УнивСрситСтом Π² Ρ€Π°ΠΌΠΊΠ°Ρ… Π³Ρ€Π°Π½Ρ‚Π° ΠŸΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΡ‹ совмСстных исслСдований β„– 021220CRP1322

    Optimal Packing of Two Disks on Torus

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    The article is devoted to recently established connection between the packing problem of disks on torus and the effective conductivity of composites with circular inclusions. The packing problem is usually investigated by geometrical arguments, the conductivity problem by means of elliptic functions. An algorithm is developed in order to determine the optimal location of two disks on torus formed by the hexagonal lattice and square lattice. The corresponding minimization function is constructed in terms of expressions consisting of elliptic functions with unknown arguments. The numerically found roots coincide with the previously established optimal points by a pure geometrical study
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