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Proceedings of the YSU A: Physical and Mathematical Sciences最新文献

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ON A GENERALIZED FORMULA OF TAYLOR–MACLAURIN TYPE ON THE GENERALIZED COMPLETELY MONOTONE FUNCTIONS 关于广义完全单调函数的泰勒-麦克劳林型的一个广义公式
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-12-17 DOI: 10.46991/pysu:a/2018.52.3.172
B. A. Sahakyan
{"title":"ON A GENERALIZED FORMULA OF TAYLOR–MACLAURIN TYPE ON THE GENERALIZED COMPLETELY MONOTONE FUNCTIONS","authors":"B. A. Sahakyan","doi":"10.46991/pysu:a/2018.52.3.172","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.3.172","url":null,"abstract":"In the paper Taylor–Maclaurin type formulas for some classes of functions are obtained. The main result of this study introduces an idea of the generalized classes of $ langle rho_j rangle $ completely monotone function. Under the various conditions $ left( sumlimits_{j=1}^{infty} dfrac{1}{rho_j} < + infty , sumlimits_{j=1}^{infty} dfrac{1}{rho_j} = + infty right) $ the terms of their representation are obtained and some related theorems are proved.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"15 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73626713","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
STUDY OF THE SWELLING OF THE PHOSPHOLIPID BILAYER, DEPENDING ON THE ANGLE BETWEEN THE INCLINATION OF THE DIPOLE FRAGMENTS AND THE PLANE OF THE LAMELLA 磷脂双层膨胀的研究，取决于偶极子碎片的倾斜度和片层平面之间的角度
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-12-17 DOI: 10.46991/pysu:a/2018.52.3.217
M. Stepanyan
{"title":"STUDY OF THE SWELLING OF THE PHOSPHOLIPID BILAYER, DEPENDING ON THE ANGLE BETWEEN THE INCLINATION OF THE DIPOLE FRAGMENTS AND THE PLANE OF THE LAMELLA","authors":"M. Stepanyan","doi":"10.46991/pysu:a/2018.52.3.217","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.3.217","url":null,"abstract":"Using computer simulations and simultaneous X-ray diffraction at large and small angles, the dependence of the swelling coefficient of the phospholipid bilayer on the angle between the inclination of dipole fragments and the plane of the lamella was investigated. It was shown that in this case the balance between electrostatic, repulsive and van der Waals attraction forces is a particular importance. As the dipole angle increases, the repulsive forces of the electrostatic dipole-dipole interaction increase, resulting the increase of the bilayer thickness as a function of the number of –CH-groups in the phospholipid. At a certain angle the bilayer is destroyed. It is also shown that at certain small angles the bilayer takes a minimum thickness. In this case a phase transformation takes place and the system enters the “gel”-phase.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"239 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90503957","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 INTERPRETATION OF TYPED AND UNTYPED FUNCTIONAL PROGRAMS 关于类型化和非类型化函数程序的解释
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.119
S. A. Nigiyan
{"title":"ON INTERPRETATION OF TYPED AND UNTYPED FUNCTIONAL PROGRAMS","authors":"S. A. Nigiyan","doi":"10.46991/pysu:a/2018.52.2.119","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.119","url":null,"abstract":"In this paper the interpretation algorithms for typed and untyped functional programs are considered. Typed functional programs use variables of any order and constants of order $ leq 1 $, where constants of order 1 are strongly computable, monotonic functions with indeterminate values of arguments. The basic semantics of the typed functional program is a function with indeterminate values of arguments, which is the main component of its least solution. The interpretation algorithms of typed functional programs are based on substitutions, $ beta $-reduction and canonical $ delta $-reduction. The basic semantics of the untyped functional program is the untyped $ lambda $-term, which is defined by means of the fixed point combinator. The interpretation algorithms of untyped functional programs are based on substitutions and $ beta $-reduction. Interpretation algorithms are examined for completeness and comparability. It is investigated how the “behavior” of the interpretation algorithm changes after translation of typed functional program into untyped functional program.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"13 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78320195","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 UNIQUENESS THEOREM FOR THE FRANKLIN SYSTEM 关于franklin系统的唯一性定理
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.093
K. Navasardyan
{"title":"ON A UNIQUENESS THEOREM FOR THE FRANKLIN SYSTEM","authors":"K. Navasardyan","doi":"10.46991/pysu:a/2018.52.2.093","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.093","url":null,"abstract":"In this paper we prove that there exist a nontrivial Franklin series and a sequence $ M_n $ such that the partial sums $ S_{M_n} (x) $ of that series converge to 0 almost everywhere and $ lambda cdot text{mes} { x : suplimits_{n}{left| S_{M_n} (x) right|} > lambda } to 0 $ as $ lambda to +infty $. This shows that the boundedness assumption of the ratio $ dfrac{ M_{n+1}}{M_n} $, used for the proofs of uniqueness theorems in earlier papers, can not be omitted.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"133 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85304325","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: 3
A METHOD FOR MULTI-CRITERIA DECISION MAKING UNDER UNCERTAINTY 不确定条件下的多准则决策方法
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.140
A. Gevorgyan, H. Avagyan
{"title":"A METHOD FOR MULTI-CRITERIA DECISION MAKING UNDER UNCERTAINTY","authors":"A. Gevorgyan, H. Avagyan","doi":"10.46991/pysu:a/2018.52.2.140","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.140","url":null,"abstract":"This work presents development of a method for multi-criteria decision making under uncertainty conditions based on single-attribute value functions and probabilistic distributions. The values of different criteria are modeled using normal distributions, i.e. the value of the $ i $-th criteria of the $ j $-th option is given by $ x^j_i sim mathcal{N} ({mu}^j_i, {sigma}^j_i) $ distribution. The method is evaluated and the results are analyzed on a simple example.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"34 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80742117","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 NON-CLASSICAL PROBLEM OF AN ELASTICALLY CLAMPED ORTHOTROPIC BEAM OF VARIABLE THICKNESS UNDER THE COMBINED ACTION OF COMPRESSIVE FORCES AND TRANSVERSE LOAD 在压缩力和横向荷载共同作用下变厚度弹性夹紧正交各向异性梁的非经典问题
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.101
R. Kirakosyan, S. Stepanyan
{"title":"THE NON-CLASSICAL PROBLEM OF AN ELASTICALLY CLAMPED ORTHOTROPIC BEAM OF VARIABLE THICKNESS UNDER THE COMBINED ACTION OF COMPRESSIVE FORCES AND TRANSVERSE LOAD","authors":"R. Kirakosyan, S. Stepanyan","doi":"10.46991/pysu:a/2018.52.2.101","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.101","url":null,"abstract":"On the basis of the refined theory of orthotropic plates of variable thickness, the equations of the beam bending problem are obtained with the simultaneous action of compressive forces and transverse load. It is accepted that the edges of the beam have an elastically clamped support and the reduction of the compressive force by the support due to friction is taking into account. Passing to dimensionless quantities, a certain problem is solved. The stability of a beam is discussed. Based on the results obtained, conclusions are drawn.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"27 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73996508","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
MEASUREMENT OF DISCHARGES TEMPERATURE IN LOW-TEMPERATURE ACOUSTOPLASMA 低温声等离子体放电温度的测量
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.134
T. Z. Bezhanyan
{"title":"MEASUREMENT OF DISCHARGES TEMPERATURE IN LOW-TEMPERATURE ACOUSTOPLASMA","authors":"T. Z. Bezhanyan","doi":"10.46991/pysu:a/2018.52.2.134","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.134","url":null,"abstract":"The results of temperature measurements in the Argon discharge in plasma with acoustic perturbation are presented. Possibility of, as decreasing, so increasing of discharge temperature in several times is shown.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"22 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84795885","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 INCOMPARABILITY OF INTERPRETATION ALGORITHMS OF TYPED FUNCTIONAL PROGRAMS WITH RESPECT TO UNDEFINED VALUE 关于未定义值的类型化函数程序解释算法的不可比性
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.109
D. Grigoryan
{"title":"ON INCOMPARABILITY OF INTERPRETATION ALGORITHMS OF TYPED FUNCTIONAL PROGRAMS WITH RESPECT TO UNDEFINED VALUE","authors":"D. Grigoryan","doi":"10.46991/pysu:a/2018.52.2.109","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.109","url":null,"abstract":"In the paper the interpretation algorithms of typed functional programs are considered. The interpretation algorithm is based on substitution, $ beta $-reduction and canonical $ delta $-reduction. It is shown that seven known interpretation algorithms (FS (of full substitution), PES (of parallel external substitution), LES (of left external substitution), PIS (of parallel inner substitution), LIS (of left inner substitution), ACT (active algorithm), PAS (passive algorithm)) are pairwise incomparable with respect to undefined value ($ perp $-incomparable).","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"23 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74750016","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 QUESTION OF A. SOZUTOV 关于a .索祖托夫的问题
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.088
N. Mirzakhanyan, H. Piliposyan
{"title":"ON A QUESTION OF A. SOZUTOV","authors":"N. Mirzakhanyan, H. Piliposyan","doi":"10.46991/pysu:a/2018.52.2.088","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.088","url":null,"abstract":"In the paper an answer to a problem posed by A.I. Sozutov in the Kourovka Notebook is given. The solution is based on some modification of the method that was proposed for constructing a non-abelian analogue of the additive group of rational numbers, i.e. a group whose center is an infinite cyclic group and any two non-trivial subgroups of which have a non-trivial intersection.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84053631","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 CONNECTION BETWEEN A CLASS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS AND INTEGRAL OPERATORS WITH SEMI-SEPARABLE KERNEL 一类常微分方程组与半可分核积分算子之间的联系
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2018-08-15 DOI: 10.46991/pysu:a/2018.52.2.077
A. Hovhannisyan, A. Kamalyan, H. A. Kamalyan
{"title":"ON A CONNECTION BETWEEN A CLASS OF SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS AND INTEGRAL OPERATORS WITH SEMI-SEPARABLE KERNEL","authors":"A. Hovhannisyan, A. Kamalyan, H. A. Kamalyan","doi":"10.46991/pysu:a/2018.52.2.077","DOIUrl":"https://doi.org/10.46991/pysu:a/2018.52.2.077","url":null,"abstract":"In the present paper the connection between a class of systems of differential equations and integral operators with semi-separable kernel is established. Using a matrix of the system the inverse to a given integral operator is constructed. Moreover by putting some additional conditions on the kernel of integral operator and by the help of inverse of integral operator a fundamental matrix of the system is constructed.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"201 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78490012","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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