发布求助
文献互助 智能选刊 最新文献

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

筛选
英文 中文
ON THE DIMENSION OF SPACES OF ALGEBRAIC CURVES PASSING THROUGH $ n $-INDEPENDENT NODES 通过n独立节点的代数曲线空间的维数
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-03-24 DOI: 10.46991/pysu:a/2019.53.2.091
H. Hakopian, H. Kloyan
{"title":"ON THE DIMENSION OF SPACES OF ALGEBRAIC CURVES PASSING THROUGH $ n $-INDEPENDENT NODES","authors":"H. Hakopian, H. Kloyan","doi":"10.46991/pysu:a/2019.53.2.091","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.091","url":null,"abstract":"Let the set of nodes $ LARGE{x} $ in the plain be $ n $-independent, i.e., each node has a fundamental polynomial of degree $ n $. Suppose also that $ vert LARGE{x} normalsize vert mathclose{=} (n mathclose{+} 1) mathclose{+} n mathclose{+} cdots mathclose{+} (n mathclose{-} k mathclose{+} 4) mathclose{+} 2 $ and $ 3 mathclose{leq} k mathclose{leq} n mathclose{-} 1 $. We prove that there can be at most 4 linearly independent curves of degree less than or equal to $ k $ passing through all the nodes of $ LARGE{x} $. We provide a characterization of the case when there are exactly 4 such curves. Namely, we prove that then the set $ LARGE{x} $ has a very special construction: all its nodes but two belong to a (maximal) curve of degree $ k mathclose{-} 2 $. At the end, an important application to the Gasca-Maeztu conjecture is provided.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"117 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74893398","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: 4
ON THE POSSIBILITY OF GROUP-THEORETIC DESCRIPTION OF AN EQUIVALENCE RELATION CONNECTED TO THE PROBLEM OF COVERING SUBSETS IN FINITE FIELDS WITH COSETS OF LINEAR SUBSPACES 关于用线性子空间的余集覆盖有限域中子集问题的等价关系的群论描述的可能性
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.1.023
D. Sargsyan
{"title":"ON THE POSSIBILITY OF GROUP-THEORETIC DESCRIPTION OF AN EQUIVALENCE RELATION CONNECTED TO THE PROBLEM OF COVERING SUBSETS IN FINITE FIELDS WITH COSETS OF LINEAR SUBSPACES","authors":"D. Sargsyan","doi":"10.46991/pysu:a/2019.53.1.023","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.023","url":null,"abstract":"Let $ F^{n}_{q} $ be an $ n $-dimensional vector space over a finite field $ F_q $ . Let $ C(F^{n}_{q} ) $ denote the set of all cosets of linear subspaces in $ F^{n}_{q} $. Cosets $ H_1, H_2, ldots H_s $ are called exclusive if $ H_i nsubseteq H_j $, $ 1 mathclose{leq} i mathclose{<} j mathclose{leq} s $. A permutation $ f $ of $ C(F^{n}_{q} ) $ is called a $ C $-permutation, if for any exclusive cosets $ H, H_1, H_2, ldots H_s $ such that $ H subseteq H_1 cup H_2 cup cdots cup H_s $ we have:i) cosets $ f(H), f(H_1), f(H_2), ldots, f(H_s) $ are exclusive;ii) cosets $ f^{-1}(H), f^{-1}(H_1), f^{-1}(H_2), ldots, f^{-1}(H_s) $ are exclusive;iii) $ f(H) subseteq f(H_1) cup f(H_2) cup cdots cup f(H_s) $;vi) $ f^{-1}(H) subseteq f^{-1}(H_1) cup f^{-1}(H_2) cup cdots cup f^{-1}(H_s) $.In this paper we show that the set of all $ C $-permutations of $ C(F^{n}_{q} ) $ is the General Semiaffine Group of degree $ n $ over $ F_q $.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"89 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76560318","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 PALETTE INDEX OF UNICYCLE AND BICYCLE GRAPHS 关于独轮车图和自行车图的调色板指数
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.1.003
A. Ghazaryan
{"title":"ON PALETTE INDEX OF UNICYCLE AND BICYCLE GRAPHS","authors":"A. Ghazaryan","doi":"10.46991/pysu:a/2019.53.1.003","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.003","url":null,"abstract":"Given a proper edge coloring $ phi $ of a graph $ G $, we define the palette $ S_G (nu, phi) $ of a vertex $ nu mathclose{in} V(G) $ as the set of all colors appearing on edges incident with $ nu $. The palette index $ check{s} (G) $ of $ G $ is the minimum number of distinct palettes occurring in a proper edge coloring of $ G $. In this paper we give an upper bound on the palette index of a graph G in terms of cyclomatic number $ cyc(G) $ of $ G $ and maximum degree $ Delta (G) $ of $ G $. We also give a sharp upper bound for the palette index of unicycle and bicycle graphs.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"45 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73603638","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: 2
SOME RESULTS ON REGULAR EXPRESSIONS FOR MULTITAPE FINITE AUTOMATA 多带有限自动机正则表达式的一些结果
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.2.082
T. Grigoryan
{"title":"SOME RESULTS ON REGULAR EXPRESSIONS FOR MULTITAPE FINITE AUTOMATA","authors":"T. Grigoryan","doi":"10.46991/pysu:a/2019.53.2.082","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.082","url":null,"abstract":"We consider sets of word tuples accepted by multitape finite automata. We use the known notation for regular expressions that describes languages accepted by one-tape automata. Nevertheless, the interpretation of the \"concatenation\" operation is different in this case. The algebra of events for multitape finite automata is defined in the same way as for one-tape automata. It is shown that the introduced algebra is a Kleene algebra. It is also, shown that some known results for the algebra of events accepted by one-tape finite automata are valid in this case too.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"55 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85562026","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: 2
A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRAL EQUATION ARISING IN $ p $-ADIC STRING THEORY 一元弦理论中非线性奇异积分方程的唯一性定理
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.1.017
A. Khachatryan, K. Khachatryan
{"title":"A UNIQUENESS THEOREM FOR A NONLINEAR SINGULAR INTEGRAL EQUATION ARISING IN $ p $-ADIC STRING THEORY","authors":"A. Khachatryan, K. Khachatryan","doi":"10.46991/pysu:a/2019.53.1.017","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.1.017","url":null,"abstract":"We study a singular nonlinear integral equation on the real line that appear in $ p $-adic string theory. A uniqueness theorem for this equation in certain class of odd functions is proved. At the end of the paper we give examples, satisfying the conditions of the formulated theorem.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"57 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90934448","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: 2
ASYMPTOTIC ESTIMATES OF THE NUMBER OF SOLUTIONS OF SYSTEMS OF EQUATIONS WITH DETERMINABLE PARTIAL BOOLEAN FUNCTIONS 具有可确定的部分布尔函数的方程组解数目的渐近估计
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.2.127
Ed. V. Yeghiazaryan
{"title":"ASYMPTOTIC ESTIMATES OF THE NUMBER OF SOLUTIONS OF SYSTEMS OF EQUATIONS WITH DETERMINABLE PARTIAL BOOLEAN FUNCTIONS","authors":"Ed. V. Yeghiazaryan","doi":"10.46991/pysu:a/2019.53.2.127","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.127","url":null,"abstract":"In this paper we investigate a class of equation systems with determinable partial (not everywhere defined) Boolean functions. We found the asymptotic estimate of the number of solutions of equation systems in the “typical” case (for the whole range of changes in the number of equations).","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"84 3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76071997","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 THE IDENTIFICATION OF THE SOURCE OF EMISSION ON THE PLANE 关于飞机上排放源的识别
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.2.075
N.V. Arakelyan, Y. Kutoyants
{"title":"ON THE IDENTIFICATION OF THE SOURCE OF EMISSION ON THE PLANE","authors":"N.V. Arakelyan, Y. Kutoyants","doi":"10.46991/pysu:a/2019.53.2.075","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.075","url":null,"abstract":"We consider the problem of identification of the position and the moment of the beginning of a radioactive source emission on the plane. The acts of emission constitute inhomogeneous Poisson processes and are registered by $ K $ detectors on the plane. We suppose that the moments of arriving of the signals at the detectors are measured with some small errors. Then, using these estimate, we construct the estimators of the position of source and the moment of the beginning of emission. We study the asymptotic properties of these estimators for large signals and prove their consistency.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"35 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74661561","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
ON LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUS EQUATION OVER A FINITE FIELD. LOWER BOUNDS 有限域上三次齐次方程的线性化覆盖。下界
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.2.119
V. Gabrielyan
{"title":"ON LINEARIZED COVERINGS OF A CUBIC HOMOGENEOUS EQUATION OVER A FINITE FIELD. LOWER BOUNDS","authors":"V. Gabrielyan","doi":"10.46991/pysu:a/2019.53.2.119","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.119","url":null,"abstract":"We obtain lower bounds for the complexity of linearized coverings for some sets of special solutions of the equation $$ x_{1}x_{2}x_{3} mathclose{+} x_{2}x_{3}x_{4} mathclose{+} cdots mathclose{+} x_{3n}x_{1}x_{2} mathclose{+} x_{1}x_{3}x_{5} mathclose{+} x_{4}x_{6}x_{8} mathclose{+} cdots mathclose{+} x_{3n-2}x_{3n}x_{2} mathclose{=} b $$ over an arbitrary finite field.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86018105","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
REAL-TIME SENSING THE GLUCOSE CONCENTRATION BY QUADRATIC-SHAPED MICROWAVE SENSOR 利用二次型微波传感器实时检测葡萄糖浓度
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.2.132
B. Hovhannisyan, D. Hambaryan, L. Odabashyan, A. Babajanyan
{"title":"REAL-TIME SENSING THE GLUCOSE CONCENTRATION BY QUADRATIC-SHAPED MICROWAVE SENSOR","authors":"B. Hovhannisyan, D. Hambaryan, L. Odabashyan, A. Babajanyan","doi":"10.46991/pysu:a/2019.53.2.132","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.132","url":null,"abstract":"In this study we present a microwave sensor based on the quadratic-shape and designed for detecting glucose concentration in aqueous solutions by using a microwave near-field electromagnetic interaction technique. We found a linear relationship between the microwave $ S_{11} $ reflection coefficient of the suggested system and the concentration of glucose in solution. Due to this linear relationship we were able to determine the glucose concentration in the range of 0–250 mg/dL at an operating frequency near 3.6 GHz. The measured minimum detectable signal was 0.0044 dB/(mg/dL) and the measured minimum detectable concentration was 6.8 mg/dL. These results suggest that the system we offer has a high enough accuracy for non-contact glucose monitoring and provides a promising basis for developing a non-invasive glucometer.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83362204","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
COVARIOGRAM OF A RIGHT PARALLELEPIPED 右平行六面体的协变函数
Proceedings of the YSU A: Physical and Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.46991/pysu:a/2019.53.2.101
V. Ohanyan, G. L. Adamyan
{"title":"COVARIOGRAM OF A RIGHT PARALLELEPIPED","authors":"V. Ohanyan, G. L. Adamyan","doi":"10.46991/pysu:a/2019.53.2.101","DOIUrl":"https://doi.org/10.46991/pysu:a/2019.53.2.101","url":null,"abstract":"In this paper we obtain explicit expressions for the covariogram and the orientation-dependent chord length distribution of a right parallelepiped with square base.","PeriodicalId":21146,"journal":{"name":"Proceedings of the YSU A: Physical and Mathematical Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89188177","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信