Pub Date : 2019-03-24DOI: 10.46991/pysu:a/2019.53.2.091
H. Hakopian, H. Kloyan
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 $. At the end, an important application to the Gasca-Maeztu conjecture is provided.
设平面中的节点集$ LARGE{x} $是$ n $独立的，即每个节点有一个次为$ n $的基本多项式。再假设$ vert LARGE{x} normalsize vert mathclose{=} (n mathclose{+} 1) mathclose{+} n mathclose{+} cdots mathclose{+} (n mathclose{-} k mathclose{+} 4) mathclose{+} 2 $和$ 3 mathclose{leq} k mathclose{leq} n mathclose{-} 1 $。我们证明了最多可以有4条度小于或等于$ k $的线性无关曲线通过$ LARGE{x} $的所有节点。我们提供了恰好有4条这样的曲线的情况的特征。也就是说，我们证明了集合$ LARGE{x} $有一个非常特殊的结构:除了两个节点外，它的所有节点都属于一次为$ k mathclose{-} 2 $的(最大)曲线。最后给出了Gasca-Maeztu猜想的一个重要应用。
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.1.023
D. Sargsyan
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 $.
设$ F^{n}_{q} $是有限域$ F_q $上的一个$ n $维向量空间。设$ C(F^{n}_{q} ) $表示$ F^{n}_{q} $中所有线性子空间的余集的集合。如果$ H_i nsubseteq H_j $, $ 1 mathclose{leq} i mathclose{<} j mathclose{leq} s $，则集$ H_1, H_2, ldots H_s $被称为独占集。$ C(F^{n}_{q} ) $的$ f $的置换称为$ C $ -置换，如果对于任何一个排他的cosets $ H, H_1, H_2, ldots H_s $，使得$ H subseteq H_1 cup H_2 cup cdots cup H_s $有:i) cosets $ f(H), f(H_1), f(H_2), ldots, f(H_s) $是排他的;ii) cosets $ f^{-1}(H), f^{-1}(H_1), f^{-1}(H_2), ldots, f^{-1}(H_s) $是排他的;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) $。本文证明了$ C(F^{n}_{q} ) $的所有$ C $ -置换的集合是$ F_q $上的$ n $次的一般半仿射群。
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.1.003
A. Ghazaryan
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 $. We also give a sharp upper bound for the palette index of unicycle and bicycle graphs.
给定图形$ G $的适当边着色$ phi $，我们将顶点$ nu mathclose{in} V(G) $的调色板$ S_G (nu, phi) $定义为与$ nu $相关的边上出现的所有颜色的集合。$ G $的调色板指数$ check{s} (G) $是在$ G $的适当边缘着色中出现的不同调色板的最小数量。本文用$ G $的圈数$ cyc(G) $和$ G $的最大次$ Delta (G) $给出了图G的调色指数的上界。我们还给出了单轮图和自行车图的调色板指数的一个明显的上界。
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.2.082
T. Grigoryan
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.
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.1.017
A. Khachatryan, K. Khachatryan
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.
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.2.127
Ed. V. Yeghiazaryan
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).
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.2.075
N.V. Arakelyan, Y. Kutoyants
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.
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.2.119
V. Gabrielyan
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.
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.2.132
B. Hovhannisyan, D. Hambaryan, L. Odabashyan, A. Babajanyan
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.
{"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}
Pub Date : 2019-01-01DOI: 10.46991/pysu:a/2019.53.2.101
V. Ohanyan, G. L. Adamyan
In this paper we obtain explicit expressions for the covariogram and the orientation-dependent chord length distribution of a right parallelepiped with square base.
本文给出了直角平行六面体的协变函数和弦长随方向变化分布的显式表达式。
{"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}
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