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

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ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS 有限初等阿贝尔群的自同态半群的自同构群
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2022-07-13 DOI: 10.46991/pysu:a/2022.56.2.049
Arman A. Bayramyan
{"title":"ON AUTOMORPHISM GROUPS OF ENDOMORPHISM SEMIGROUPS OF FINITE ELEMENTARY ABELIAN GROUPS","authors":"Arman A. Bayramyan","doi":"10.46991/pysu:a/2022.56.2.049","DOIUrl":"https://doi.org/10.46991/pysu:a/2022.56.2.049","url":null,"abstract":"In this article, we explore the automorphisms of endomorphism semigroups and automorphism groups of the finite elementary Abelian groups. In particular, we prove that $mathrm{Aut}(mathrm{End}(Z_poplusZ_popluscdotsoplusZ_p))$ can be canonically embedded into $mathrm{Aut}(mathrm{Aut}(Z_poplusZ_popluscdotsoplusZ_p))$ using an elementary approach based on matrix operations. We also show that all automorphisms of $mathrm{End}(Z_poplusZ_popluscdotsoplusZ_p)$ are inner.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"10 5 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79562998","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
MINIATURIZED ANTIPODAL VIVALDI ANTENNA BASED ON MAGNETODIELECTRIC MATERIALS 基于磁介质材料的小型化对映维瓦尔第天线
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2022-06-13 DOI: 10.46991/pysu:a/2022.56.2.074
Ararat H. Stepanyan, H. Haroyan
{"title":"MINIATURIZED ANTIPODAL VIVALDI ANTENNA BASED ON MAGNETODIELECTRIC MATERIALS","authors":"Ararat H. Stepanyan, H. Haroyan","doi":"10.46991/pysu:a/2022.56.2.074","DOIUrl":"https://doi.org/10.46991/pysu:a/2022.56.2.074","url":null,"abstract":"Miniaturization of antipodal Vivaldi antenna (AVA) based on high dielectric constant and magnetodielectric ferrite materials is studied. The basic parameters of antipodal Vivaldi antenna based on high dielectric and magnetodielectric materials (MDM) are compared. To miniaturize the size of the antenna by a higher factor, MDM ferrite with paremeters $varepsilon_r=mu_r=8$ is used. The analysis shows that MDM based Vivaldi antenna surface is minimized by a factor of 4 compared to that of air-based Vivaldi antenna. The sizes of AVA are $120 times 120 times 1~(mm).$","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"16 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73009284","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
PERFECTLY STABLE AND NORMAL SUBGROUPS 完全稳定的正规子群
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2022-04-04 DOI: 10.46991/pysu:a/2022.56.1.027
Sh. Navasardyan
{"title":"PERFECTLY STABLE AND NORMAL SUBGROUPS","authors":"Sh. Navasardyan","doi":"10.46991/pysu:a/2022.56.1.027","DOIUrl":"https://doi.org/10.46991/pysu:a/2022.56.1.027","url":null,"abstract":"The equivalence between the concepts of normal and perfectly stable  subgroups is shown. The proof of the main theorem is based on a novel concept of hypergroups over a group.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87995030","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
RELATION BETWEEN THE COVARIOGRAM AND DISTRIBUTION FUNCTION OF THE DISTANCE BETWEEN TWO UNIFORM AND INDEPENDENT POINTS 两个均匀独立点之间距离的协变函数与分布函数之间的关系
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2022-03-25 DOI: 10.46991/pysu:a/2022.56.1.033
V. Ohanyan, Vigen H. Khalatyan
{"title":"RELATION BETWEEN THE COVARIOGRAM AND DISTRIBUTION FUNCTION OF THE DISTANCE BETWEEN TWO UNIFORM AND INDEPENDENT POINTS","authors":"V. Ohanyan, Vigen H. Khalatyan","doi":"10.46991/pysu:a/2022.56.1.033","DOIUrl":"https://doi.org/10.46991/pysu:a/2022.56.1.033","url":null,"abstract":"In the present paper we obtain a relationship between the covariogram and distribution function of the distance between two uniformly and independently distributed points. Additionally, we calculate the distribution function of the distance between these two points in a disk, a ball and a triangle.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"87 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80846196","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 NONTRIVIAL SOLVABILITY OF ONE CLASS OF NONLINEAR INTEGRAL EQUATIONS WITH CONSERVATIVE KERNEL ON THE POSITIVE SEMI-AXIS 一类具有保守核的正半轴非线性积分方程的非平凡可解性
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2022-03-25 DOI: 10.46991/pysu:a/2022.56.1.007
K. Khachatryan, A. Hakobyan
{"title":"ON NONTRIVIAL SOLVABILITY OF ONE CLASS OF NONLINEAR INTEGRAL EQUATIONS WITH CONSERVATIVE KERNEL ON THE POSITIVE SEMI-AXIS","authors":"K. Khachatryan, A. Hakobyan","doi":"10.46991/pysu:a/2022.56.1.007","DOIUrl":"https://doi.org/10.46991/pysu:a/2022.56.1.007","url":null,"abstract":"The work is devoted to a special class of nonlinear integral equations on the positive semi-axis with conservative kernel that corresponds to a nonlinear operator, for which the property of complete continuity in the space of bounded functions fails. In different special cases this class of equations has applications in particular branches of mathematical physics. In particular, this kind of equations can be met in the radiative transfer theory, kinetic theory of gases, kinetic theory of plasma and in the $p$-adic open-closed string theory. Using a combination of special iterations with the monotonic operator theory methods, that work in defined conical segments it is possible to prove a constructive existence theorem of nonnegative nontrivial bounded solution that has finite limit at infinity. The asymptotics of the constructed solution will also be studied. It is also given an example of nonlinear equation, for which the uniqueness of the solution in the space of bounded functions fails. At the end of the paper will consider some classes of equations both applied and pure theoretical character.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"64 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80185323","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 INTERVAL EDGE-COLORINGS OF COMPLETE MULTIPARTITE GRAPHS 完全多部图的区间边着色
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2022-03-25 DOI: 10.46991/pysu:a/2022.56.1.019
Levon N. Muradyan
{"title":"ON INTERVAL EDGE-COLORINGS OF COMPLETE MULTIPARTITE GRAPHS","authors":"Levon N. Muradyan","doi":"10.46991/pysu:a/2022.56.1.019","DOIUrl":"https://doi.org/10.46991/pysu:a/2022.56.1.019","url":null,"abstract":"A graph $G$ is called a complete $r$-partite $(rgeq 2)$ graph, if its vertices can be divided into $r$ non-empty independent sets $V_1,ldots,V_r$ in a way that each vertex in $V_i$ is adjacent to all the other vertices in $V_j$ for $1leq i<jleq r$. Let $K_{n_{1},n_{2},ldots,n_{r}}$ denote a complete $r$-partite graph with independent sets $V_1,V_2,ldots,V_r$ of sizes $n_{1},n_{2},ldots,n_{r}$. An edge-coloring of a graph $G$ with colors $1,2,ldots,t$ is called an emph{interval $t$-coloring}, if all colors are used and the colors of edges incident to each vertex of $G$ are distinct and form an interval of integers. In this paper we have obtained some results on the existence and construction of interval edge-colorings of complete $r$-partite graphs. Moreover, we have also derived an upper bound on the number of colors in interval colorings of complete multipartite graphs.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"12 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84314106","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
SENSING OF SODIUM CHLORIDE AND GLUCOSE MIXED AQUEOUS SOLUTION BY USING A THERMOELASTIC OPTICAL INDICATOR MICROSCOPE 热弹性光学指示显微镜对氯化钠和葡萄糖混合水溶液的传感
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2021-12-28 DOI: 10.46991/pysu:a/2021.55.3.174
B. Minasyan
{"title":"SENSING OF SODIUM CHLORIDE AND GLUCOSE MIXED AQUEOUS SOLUTION BY USING A THERMOELASTIC OPTICAL INDICATOR MICROSCOPE","authors":"B. Minasyan","doi":"10.46991/pysu:a/2021.55.3.174","DOIUrl":"https://doi.org/10.46991/pysu:a/2021.55.3.174","url":null,"abstract":"In the article we observed the microwave absorption of sodium chloride (NaCl) and glucose aqueous solution with different concentrations by using a thermoelastic optical indicator microscope (TEOIM). The non-invasive sensing technology of TEOIM is giving a big advantage compared to other detection technologies. By a TEOIM were visualized the change in distribution of microwave field depending on concentration of NaCl and glucose in $8-14~GHz$ range. This article is shown the investigation results for different concentrations of NaCl $(0-2.5%)$ and represented the behavior of averaged microwave near-field intensity for glucose (varied of $0-10%$ range) and NaCl (fixed at $0.9%$) complex aqueous solutions.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"62 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82866055","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
ANALOGUE OF THE ABRAHAM–MINKOWSKI CONTROVERSY IN ELECTRONIC OPTICS 电子光学中亚伯拉罕-闵可夫斯基之争的类比
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2021-12-28 DOI: 10.46991/pysu:a/2021.55.3.169
K. K. Grigoryan
{"title":"ANALOGUE OF THE ABRAHAM–MINKOWSKI CONTROVERSY IN ELECTRONIC OPTICS","authors":"K. K. Grigoryan","doi":"10.46991/pysu:a/2021.55.3.169","DOIUrl":"https://doi.org/10.46991/pysu:a/2021.55.3.169","url":null,"abstract":"In the problem of electron diffraction by a standing light wave (the Kapitza–Dirac effect), an electronic refractive index can be defined as the ratio of electron momenta in the wave field and outside it. Moreover, both kinetic and canonical electron momenta can be used for this purpose, which corresponds to the Abraham–Minkowski controversy in photonic optics. It is shown that in both cases the same expression for the electronic refractive index is obtained. This is consistent with Barnett's resolution of the Abraham–Minkowski dilemma.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79589016","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 INDEPENDENT SYSTEMS OF DEFINING RELATIONS FOR FREE BURNSIDE GROUPS OF PERIOD 3 周期为3的自由Burnside群的定义关系的独立系统
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2021-11-05 DOI: 10.46991/pysu:a/2021.55.3.153
Arman A. Bayramyan
{"title":"ON INDEPENDENT SYSTEMS OF DEFINING RELATIONS FOR FREE BURNSIDE GROUPS OF PERIOD 3","authors":"Arman A. Bayramyan","doi":"10.46991/pysu:a/2021.55.3.153","DOIUrl":"https://doi.org/10.46991/pysu:a/2021.55.3.153","url":null,"abstract":"We construct systems of independent defining relations for free Burnside groups $B(m,3)$ of ranks $m=2, 3$. The proof for the case $m=2$ is established using the matrix representation of $B(2,3)$. For the case $m=3$ the approach is based on the natural embedding of $B(2,3)$ into $B(3,3)$.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-11-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82077232","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
PARAMETER ESTIMATION FOR OSCILLATORY SYSTEMS 振动系统的参数估计
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2021-08-30 DOI: 10.46991/pysu:a/2021.55.2.131
A. A. Matevosyan, A. G. Matevosyan
{"title":"PARAMETER ESTIMATION FOR OSCILLATORY SYSTEMS","authors":"A. A. Matevosyan, A. G. Matevosyan","doi":"10.46991/pysu:a/2021.55.2.131","DOIUrl":"https://doi.org/10.46991/pysu:a/2021.55.2.131","url":null,"abstract":"Simple harmonic motion was investigated of a rotational oscillating system. The effect of dumping and forcing on motion of the system was examined and measurements were taken. Resonance in a oscillating system was investigated and quality factor of the dumping system was measured at different damping forces using three different methods. Resonance curves were constructed at two different damping forces. A probabilistic model was built and system parameters were estimated from the resonance curves using Stan sampling platform. The quality factor of the oscillating system when the additional dumping was turned off was estimated to be $Q = num{71 pm 1}$ and natural frequency $omega_0 = num{3.105 pm 0.008}, si{persecond}$.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79863877","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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