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On boundary values of products of M.M. Djrbashyan 关于m.m.j rbashyan积的边值
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmon-2019-44-3
V. S. Zakaryan, Tehmine Vanik Tavaratsyan
{"title":"On boundary values of products of M.M. Djrbashyan","authors":"V. S. Zakaryan, Tehmine Vanik Tavaratsyan","doi":"10.20948/mathmon-2019-44-3","DOIUrl":"https://doi.org/10.20948/mathmon-2019-44-3","url":null,"abstract":"Аннотация. Как хорошо известно, приозведения типа Бляшке  B М.М. Джрбашяна имеют базовое значение в исследованиях, где он использовал свои методы обобщенного дробного интегродифференцирования    L для построения теории классов    N мероморфных в единичном круге комплексной плоскости функций, исчерпывающих все функции мероморфные в круге и совпадающих с классом N Р. Неванлинны функций ограниченного вида в частном случае   1  x  функционального параметра. Данная статья посвящена исследований граничного поведения произведений  B .","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123005101","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
E.L. Akim's contribution to the Russian space research program E.L. Akim对俄罗斯太空研究计划的贡献
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/MATHMONTIS-2019-46-14
G. K. Borovin, Y. Golubev, G. S. Zaslavskii, V. Stepanyants, A. G. Tuchin
{"title":"E.L. Akim's contribution to the Russian space research program","authors":"G. K. Borovin, Y. Golubev, G. S. Zaslavskii, V. Stepanyants, A. G. Tuchin","doi":"10.20948/MATHMONTIS-2019-46-14","DOIUrl":"https://doi.org/10.20948/MATHMONTIS-2019-46-14","url":null,"abstract":"","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114113253","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
On a new arithmethic additive function related to the generalized divisors of an integer 关于整数广义除数的一个新的算术加性函数
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmontis-2022-55-3
M. Bouderbala
{"title":"On a new arithmethic additive function related to the generalized divisors of an integer","authors":"M. Bouderbala","doi":"10.20948/mathmontis-2022-55-3","DOIUrl":"https://doi.org/10.20948/mathmontis-2022-55-3","url":null,"abstract":"The main purpose of this paper is to define a new additive function related to generalized divisors of an integer and to study some of its properties.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116775129","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
On some boundary properties and uniqueness theorems of subharmonic functions 次调和函数的一些边界性质和唯一性定理
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmontis-2019-45-2
S. Berberyan
{"title":"On some boundary properties and uniqueness theorems of subharmonic functions","authors":"S. Berberyan","doi":"10.20948/mathmontis-2019-45-2","DOIUrl":"https://doi.org/10.20948/mathmontis-2019-45-2","url":null,"abstract":"","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116071643","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
Perturbation hollow spheres and planetary perturbation rings pursuant to the gravity assists scattering in the Solar system 摄动空心球和行星摄动环根据引力在太阳系中辅助散射
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmontis-2022-55-7
G. K. Borovin, Y. Golubev, A. V. Grushevskii, A. G. Tuchin
{"title":"Perturbation hollow spheres and planetary perturbation rings pursuant to the gravity assists scattering in the Solar system","authors":"G. K. Borovin, Y. Golubev, A. V. Grushevskii, A. G. Tuchin","doi":"10.20948/mathmontis-2022-55-7","DOIUrl":"https://doi.org/10.20948/mathmontis-2022-55-7","url":null,"abstract":"One of the types of gravitational scattering in the Solar system within the framework of the model of the circular restricted three-body problem (CR3BP) are the gravity assist maneuvers of the \"particles of insignificant mass\" (spacecraft, asteroids, comets, etc.). For their description, a physical analogy with the beam scattering of charged α-particles in a Coulomb field is useful. However, unlike the scattering of charged particles, there are external restrictions for the possibility of gravity assists executing related from the restricted size of planet's sphere of influence. At the same time, internal restrictions for the gravity assists performance estimated by the effective radii of planets are known from the literature on CR3BP (including gravitational capture by the planet, falling into it). The limited dynamic possibilities of using gravity maneuvers require their repeated performance. Based on the formalization of the search for the GA- timetables with subsequent adaptive involvement of a large number of options, a high-precision algorithm for synthesizing chains of increasing gravity assists was built. Its use leads to a significant inclination change of the research SC's orbit without significant fuel consumption during a reasonable flight time. They depend from the particle asymptotic velocity relative the planet. For obvious reasons, their influence cuts off the possibility of effective gravity assists performance. In this work the generalized estimates of the sizes of the near-planetary regions (planar rotating \"perturbation rings\" or \"perturbation hollow spheres\" in 3D case), falling into which is a necessary condition for the implementation of gravity assists, are presented. The detailed analysis shows that Neptune and Saturn have the characteristic \"perturbation rings\" and the perturbation hollow spheres of the largest sizes in the Solar system, and Jupiter occupies only the fourth place in this checklist after them and the planet’ Uranus perturbation hollow sphere.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129437090","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
Simulation of quadcopter motion control in virtual environment systems 虚拟环境系统中四轴飞行器运动控制仿真
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmon-2019-44-5
M. Mikhaylyuk, E. V. Strashnov
{"title":"Simulation of quadcopter motion control in virtual environment systems","authors":"M. Mikhaylyuk, E. V. Strashnov","doi":"10.20948/mathmon-2019-44-5","DOIUrl":"https://doi.org/10.20948/mathmon-2019-44-5","url":null,"abstract":"The article considers the problem of quadcopter dynamics simulation and control in virtual environment systems. The proposed solution of this problem is based on the application of a mathematical model of quadcopter dynamics on the assumption that roll and pitch angles are small. In turn, the rotor dynamics is realized through a mathematical model of the electric motor based on its passport parameters. In this work, the feedback linearization method is used to control the quadcopter. With the application of this approach, the quadcopter’s horizontal motion is achieved by the obtained expressions for the roll and pitch angles. The methods and approaches proposed in this article were implemented within the virtual environment complex and were tested on the example of a quadcopter model with control by a virtual remote controller.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"94 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124157371","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: 1
Fragments of dynamic of Möebious mappings and some applications. Part II 片断的动态Möebious映射和一些应用程序。第二部分
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmontis-2020-49-1
Ž. Pavićević, Jela Šušić, Marijan Markovic
{"title":"Fragments of dynamic of Möebious mappings and some applications. Part II","authors":"Ž. Pavićević, Jela Šušić, Marijan Markovic","doi":"10.20948/mathmontis-2020-49-1","DOIUrl":"https://doi.org/10.20948/mathmontis-2020-49-1","url":null,"abstract":"Using dynamic and geometry of Möebious mappings we prove Lindelöf type theorems for much larger class of functions on the unit disk than previously considered class of meromor-phic functions.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117320716","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
BıGaussian Pell and Pell-Lucas polynomials BıGaussian Pell和Pell- lucas多项式
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmontis-2022-53-3
E. Özkan, Tuğba Alp
{"title":"BıGaussian Pell and Pell-Lucas polynomials","authors":"E. Özkan, Tuğba Alp","doi":"10.20948/mathmontis-2022-53-3","DOIUrl":"https://doi.org/10.20948/mathmontis-2022-53-3","url":null,"abstract":"In this paper, we define biGaussian Pell and Pell-Lucas Polynomials. We give Binet‘s formulas, generating functions, Catalan’s identities, Cassini’s identities for these polynomials. Matrix presentations of biGaussian Pell and Pell-Lucas polynomials are found. Also, NegabiGaussian Pell and Pell-Lucas Polynomials are defined. Finally, we give some properties for these polynomials.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130749587","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
Atomistic modeling of the critical region of copper using a liquid-vapor coexistence curve 用汽液共存曲线对铜临界区域进行原子模拟
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmon-2019-46-6
M. Demin, O. Koroleva, A. V. Shapranov, A. A. Aleksashkina
{"title":"Atomistic modeling of the critical region of copper using a liquid-vapor coexistence curve","authors":"M. Demin, O. Koroleva, A. V. Shapranov, A. A. Aleksashkina","doi":"10.20948/mathmon-2019-46-6","DOIUrl":"https://doi.org/10.20948/mathmon-2019-46-6","url":null,"abstract":"Summary. A liquid – vapor coexistence curve was obtained for copper by the method of molecular dynamics modeling (MDM), and the corresponding critical parameters were determined: temperature, density, and pressure. The interaction potential of particles was of the “embedded atom” type (EAM). The critical temperature T cr was determined from the MDM results using the average cluster size method in the critical region. To clarify the critical density value, the empirical rule of rectilinear diameter was used. The results of modeling of this work were compared with the results of evaluating of the critical parameters of copper by other authors using different approaches.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"299 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115443552","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: 8
Comparative analysis of the accuracy of OPENFOAM solvers for the oblique shock wave problem 斜激波问题OPENFOAM求解器精度的比较分析
Mathematica Montisnigri Pub Date : 1900-01-01 DOI: 10.20948/mathmontis-2019-45-8
A. K. Alekseev, Aleksander Evgenievich Bondarev, A. Kuvshinnikov
{"title":"Comparative analysis of the accuracy of OPENFOAM solvers for the oblique shock wave problem","authors":"A. K. Alekseev, Aleksander Evgenievich Bondarev, A. Kuvshinnikov","doi":"10.20948/mathmontis-2019-45-8","DOIUrl":"https://doi.org/10.20948/mathmontis-2019-45-8","url":null,"abstract":"The article is devoted to a comparative assessment of the accuracy for solvers of the OpenFOAM open software package. As a test problem, we consider the classical twodimensional problem of a supersonic inviscid compressible flow falling on a flat plate at an angle of attack. As a result, an oblique shock wave is formed before the start of the plate. The simulation results for the solvers considered in comparison are compared with the known exact solution. Calculations for all solvers participating in the comparison were carried out with the same setting of the parameters of the incident flow and angle of attack. Special attention was paid to QGDFoam solver, which has controlled dissipative properties. For this solver, within the framework of a general comparison, calculations were carried out with a variation of the parameter that allows controlling dissipative properties. The results of estimates of deviations from the exact solution in various norms for all solvers are given.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124244131","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: 13
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