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Numerical aspects of two coupled harmonic oscillators 两个耦合谐振子的数值方面
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI: 10.2478/auom-2020-0001
J. Asad, O. Florea
{"title":"Numerical aspects of two coupled harmonic oscillators","authors":"J. Asad, O. Florea","doi":"10.2478/auom-2020-0001","DOIUrl":"https://doi.org/10.2478/auom-2020-0001","url":null,"abstract":"Abstract In this study an interesting symmetric linear system is considered. As a first step we obtain the Lagrangian of the system. Secondly, we derive the classical Euler- Lagrange equations of the system. Finally, numerical and analytic solution for these equations have been presented for some chosen initial conditions.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"1 1","pages":"15 - 5"},"PeriodicalIF":0.6,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89121914","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On geometric polygroups 关于几何多群
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI: 10.2478/auom-2020-0002
F. Arabpur, M. Jafarpour, M. Aminizadeh, Š. Hošková-Mayerová
{"title":"On geometric polygroups","authors":"F. Arabpur, M. Jafarpour, M. Aminizadeh, Š. Hošková-Mayerová","doi":"10.2478/auom-2020-0002","DOIUrl":"https://doi.org/10.2478/auom-2020-0002","url":null,"abstract":"Abstract In this paper, we introduce a geodesic metric space called generalized Cayley graph (gCay(P,S)) on a finitely generated polygroup. We define a hyperaction of polygroup on gCayley graph and give some properties of this hyperaction. We show that gCayley graphs of a polygroup by two different generators are quasi-isometric. Finally, we express a connection between finitely generated polygroups and geodesic metric spaces.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"1 1","pages":"17 - 33"},"PeriodicalIF":0.6,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74607079","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
On Mahler’s p-adic S-, T -, and U-numbers 关于马勒的p进S, T和u数
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI: 10.2478/auom-2020-0005
Y. Bugeaud, Gülcan Kekeç
{"title":"On Mahler’s p-adic S-, T -, and U-numbers","authors":"Y. Bugeaud, Gülcan Kekeç","doi":"10.2478/auom-2020-0005","DOIUrl":"https://doi.org/10.2478/auom-2020-0005","url":null,"abstract":"Abstract We consider some lacunary power series with rational coefficients in 𝕈p. We show that under certain conditions these series take transcendental values at non-zero rational number arguments, and we determine the classes of these transcendental values with respect to Mahler’s classification of p-adic numbers.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"14 1","pages":"81 - 94"},"PeriodicalIF":0.6,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86699005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The warped product of holomorphic Lie algebroids 全纯李代数群的翘曲积
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI: 10.2478/auom-2020-0009
A. Ionescu, G. Munteanu
{"title":"The warped product of holomorphic Lie algebroids","authors":"A. Ionescu, G. Munteanu","doi":"10.2478/auom-2020-0009","DOIUrl":"https://doi.org/10.2478/auom-2020-0009","url":null,"abstract":"Abstract We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of the bundles and of their product and we investigate their curvatures. We use the geometrical setting of the prolongations of the two bundles to obtain some similar and some different properties from the ones of the warped product of Finsler manifolds.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"1 1","pages":"117 - 134"},"PeriodicalIF":0.6,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84734860","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Note on the Acceleration and Jerk in Motion Along a Space Curve 关于沿空间曲线运动中的加速度和抖动的注释
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI: 10.2478/auom-2020-0011
Kahraman Esen Özen, M. Güner, M. Tosun
{"title":"A Note on the Acceleration and Jerk in Motion Along a Space Curve","authors":"Kahraman Esen Özen, M. Güner, M. Tosun","doi":"10.2478/auom-2020-0011","DOIUrl":"https://doi.org/10.2478/auom-2020-0011","url":null,"abstract":"Abstract The resolution of the acceleration vector of a particle moving along a space curve is well known thanks to Siacci [1]. This resolution comprises two special oblique components which lie in the osculating plane of the curve. The jerk is the time derivative of acceleration vector. For the jerk vector of the aforementioned particle, a similar resolution is presented as a new contribution to field [2]. It comprises three special oblique components which lie in the osculating and rectifying planes. In this paper, we have studied the Siacci’s resolution of the acceleration vector and aforementioned resolution of the jerk vector for the space curves which are equipped with the modified orthogonal frame. Moreover, we have given some illustrative examples to show how the our theorems work.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"8 1","pages":"151 - 164"},"PeriodicalIF":0.6,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76264180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
The commutative quotient structure of m-idempotent hyperrings m-幂等超环的交换商结构
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-03-01 DOI: 10.2478/auom-2020-0015
A. Zadeh, M. Norouzi, I. Cristea
{"title":"The commutative quotient structure of m-idempotent hyperrings","authors":"A. Zadeh, M. Norouzi, I. Cristea","doi":"10.2478/auom-2020-0015","DOIUrl":"https://doi.org/10.2478/auom-2020-0015","url":null,"abstract":"Abstract The α* -relation is a fundamental relation on hyperrings, being the smallest strongly regular relation on hyperrings such that the quotient structure R/α* is a commutative ring. In this paper we introduce on hyperrings the relation ζm, which is smaller than α*, and show that, on a particular class of m-idempotent hyperrings R, it is the smallest strongly regular relation such that the quotient ring R/ζ*m is commutative. Some properties of this new relation and its differences from the α* -relation are illustrated and discussed. Finally, we show that ζm is a new representation for α* on this particular class of m-idempotent hyperrings.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"9 1","pages":"219 - 236"},"PeriodicalIF":0.6,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84037725","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Algorithmic Aspects of Some Variants of Domination in Graphs 图中支配的一些变体的算法方面
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2020-01-31 DOI: 10.2478/auom-2020-0039
J. P. Kumar, P. V. S. Reddy
{"title":"Algorithmic Aspects of Some Variants of Domination in Graphs","authors":"J. P. Kumar, P. V. S. Reddy","doi":"10.2478/auom-2020-0039","DOIUrl":"https://doi.org/10.2478/auom-2020-0039","url":null,"abstract":"Abstract A set S ⊆ V is a dominating set in G if for every u ∈ V S, there exists v ∈ S such that (u, v) ∈ E, i.e., N[S] = V . A dominating set S is an isolate dominating set (IDS) if the induced subgraph G[S] has at least one isolated vertex. It is known that Isolate Domination Decision problem (IDOM) is NP-complete for bipartite graphs. In this paper, we extend this by showing that the IDOM is NP-complete for split graphs and perfect elimination bipartite graphs, a subclass of bipartite graphs. A set S ⊆ V is an independent set if G[S] has no edge. A set S ⊆ V is a secure dominating set of G if, for each vertex u ∈ V S, there exists a vertex v ∈ S such that (u, v) ∈ E and (S {v}) ∪ {u} is a dominating set of G. In addition, we initiate the study of a new domination parameter called, independent secure domination. A set S ⊆ V is an independent secure dominating set (InSDS) if S is an independent set and a secure dominating set of G. The minimum size of an InSDS in G is called the independent secure domination number of G and is denoted by γis(G). Given a graph G and a positive integer k, the InSDM problem is to check whether G has an independent secure dominating set of size at most k. We prove that InSDM is NP-complete for bipartite graphs and linear time solvable for bounded tree-width graphs and threshold graphs, a subclass of split graphs. The MInSDS problem is to find an independent secure dominating set of minimum size, in the input graph. Finally, we show that the MInSDS problem is APX-hard for graphs with maximum degree 5.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"9 1","pages":"153 - 170"},"PeriodicalIF":0.6,"publicationDate":"2020-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79658073","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On an improved computational solution for the 3D HCIR PDE in finance 金融领域三维HCIR PDE的改进计算方案
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2019-12-01 DOI: 10.2478/auom-2019-0042
F. Soleymani, A. Akgül, E. Akgül
{"title":"On an improved computational solution for the 3D HCIR PDE in finance","authors":"F. Soleymani, A. Akgül, E. Akgül","doi":"10.2478/auom-2019-0042","DOIUrl":"https://doi.org/10.2478/auom-2019-0042","url":null,"abstract":"Abstract The aim of this work is to tackle the three–dimensional (3D) Heston– Cox–Ingersoll–Ross (HCIR) time–dependent partial differential equation (PDE) computationally by employing a non–uniform discretization and gathering the finite difference (FD) weighting coe cients into differentiation matrices. In fact, a non–uniform discretization of the 3D computational domain is employed to achieve the second–order of accuracy for all the spatial variables. It is contributed that under what conditions the proposed procedure is stable. This stability bound is novel in literature for solving this model. Several financial experiments are worked out along with computation of the hedging quantities Delta and Gamma.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"58 1","pages":"207 - 230"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86964937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms 广义(k，µ)空间形式的f-双调和子流形和双f-调和子流形
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2019-12-01 DOI: 10.2478/auom-2019-0036
S. Hui, D. Breaz, Pradip Mandal
{"title":"f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms","authors":"S. Hui, D. Breaz, Pradip Mandal","doi":"10.2478/auom-2019-0036","DOIUrl":"https://doi.org/10.2478/auom-2019-0036","url":null,"abstract":"Abstract Here we have studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms and obtained a necessary and sufficient condition on a submanifold of generalized (k, µ)-space-form to be f-biharmonic and bi-f-harmonic submanifold. We have also studied f-biharmonic hypersurfaces of said ambient space forms.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"47 1","pages":"112 - 97"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74113655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On L′ (2, 1)–Edge Coloring Number of Regular Grids 正则网格的L '(2,1) -边着色数
IF 0.6 4区 数学
Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica Pub Date : 2019-12-01 DOI: 10.2478/auom-2019-0034
D. Deepthy, J. V. Kureethara
{"title":"On L′ (2, 1)–Edge Coloring Number of Regular Grids","authors":"D. Deepthy, J. V. Kureethara","doi":"10.2478/auom-2019-0034","DOIUrl":"https://doi.org/10.2478/auom-2019-0034","url":null,"abstract":"Abstract In this paper, we study multi-level distance edge labeling for infinite rectangular, hexagonal and triangular grids. We label the edges with non-negative integers. If the edges are adjacent, then their color difference is at least 2 and if they are separated by exactly a single edge, then their colors must be distinct. We find the edge coloring number of these grids to be 9, 7 and 16, respectively so that we could color the edges of a rectangular, hexagonal and triangular grid with at most 10, 8 and 17 colors, respectively using this coloring technique. Repeating the sequence pattern for different grids, we can color the edges of a grid of larger size.","PeriodicalId":55522,"journal":{"name":"Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica","volume":"1 1","pages":"65 - 81"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82733953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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