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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti最新文献

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A fast and efficient method for solving the multiple line detection problem 一种快速有效的多线检测方法
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 2019-09-17 DOI: 10.21857/yvjrdcqq8y
R. Scitovski, Una Radojicic, K. Sabo
{"title":"A fast and efficient method for solving the multiple line detection problem","authors":"R. Scitovski, Una Radojicic, K. Sabo","doi":"10.21857/yvjrdcqq8y","DOIUrl":"https://doi.org/10.21857/yvjrdcqq8y","url":null,"abstract":"In this paper, we consider the multiple line detection problem on the basis of a data points set coming from a number of lines not known in advance. A new and efficient method is proposed, which is based upon center-based clustering, and it solves this problem quickly and precisely. The method has been tested on 100 randomly generated data sets. In comparison to the incremental algorithm, the method gives significantly better results. Also, in order to identify a partition with the most appropriate number of clusters, a new index has been proposed for the case of a cluster whose lines are cluster-centers. The index can also be generalized for other geometrical objects.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117276292","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
Optimization of damping positions in a mechanical system 机械系统阻尼位置的优化
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 2019-06-15 DOI: 10.21857/Y26KEC33Q9
Yoshi Kanno, Matea Puvaca, Z. Tomljanović, N. Truhar
{"title":"Optimization of damping positions in a mechanical system","authors":"Yoshi Kanno, Matea Puvaca, Z. Tomljanović, N. Truhar","doi":"10.21857/Y26KEC33Q9","DOIUrl":"https://doi.org/10.21857/Y26KEC33Q9","url":null,"abstract":"This paper deals with damping optimization of the mechanical system based on the minimization of the so-called “average displacement amplitude”. Further, we propose three different approaches to solving this minimization problems, and present their performance on two examples.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128310950","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: 5
Rearranging absolutely covergent well-ordered series in Banach spaces Banach空间中绝对收敛良序级数的重排
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 2019-02-23 DOI: 10.21857/yq32oh4qd9
Vedran vCavci'c, Marko Doko, M. Horvat
{"title":"Rearranging absolutely covergent well-ordered series in Banach spaces","authors":"Vedran vCavci'c, Marko Doko, M. Horvat","doi":"10.21857/yq32oh4qd9","DOIUrl":"https://doi.org/10.21857/yq32oh4qd9","url":null,"abstract":"Reordering the terms of a series is a useful mathematical device, and much is known about when it can be done without affecting the convergence or the sum of the series. For example, if a series of real numbers absolutely converges, we can add the even-indexed and odd-indexed terms separately, or arrange the terms in an infinite two-dimensional table and first compute the sum of each column. The possibility of even more intricate re-orderings prompts us to find a general underlying principle. We identify such a principle in the setting of Banach spaces, where we consider well-ordered series with indices beyond {omega}, but strictly under {omega}_1 . We prove that for every absolutely convergent well-ordered series indexed by a countable ordinal, if the series is rearranged according to any countable ordinal, then the absolute convergence and the sum of the series remain unchanged.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123656676","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
Characterizations of ∗-Lie derivable mappings on prime ∗-rings 素数*环上的* -李可导映射的刻画
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 1900-01-01 DOI: 10.21857/y26kec3379
A. Alkenani, M. Ashraf, B. Wani
{"title":"Characterizations of ∗-Lie derivable mappings on prime ∗-rings","authors":"A. Alkenani, M. Ashraf, B. Wani","doi":"10.21857/y26kec3379","DOIUrl":"https://doi.org/10.21857/y26kec3379","url":null,"abstract":"Let R be a ∗-ring containing a nontrivial self-adjoint idempotent. In this paper it is shown that under some mild conditions on R, if a mapping d : R → R satisfies d([U, V ]) = [d(U), V ] + [U, d(V )] for all U, V ∈ R, then there exists ZU,V ∈ Z(R) (depending on U and V ), where Z(R) is the center of R, such that d(U +V ) = d(U) + d(V ) +ZU,V . Moreover, if R is a 2-torsion free prime ∗-ring additionally, then d = ψ+ ξ, where ψ is an additive ∗-derivation of R into its central closure T and ξ is a mapping from R into its extended centroid C such that ξ(U + V ) = ξ(U) + ξ(V ) +ZU,V and ξ([U, V ]) = 0 for all U, V ∈ R. Finally, the above ring theoretic results have been applied to some special classes of algebras such as nest algebras and von Neumann algebras.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132134354","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 certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function 由与Hurwitz-Lerch zeta函数相关的线性算子定义的一元亚纯函数的一个子类
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 1900-01-01 DOI: 10.21857/ygjwrcjjxy
F. Ghanim, H. Al‐Janaby
{"title":"A certain subclass of univalent meromorphic functions defined by a linear operator associated with the Hurwitz-Lerch zeta function","authors":"F. Ghanim, H. Al‐Janaby","doi":"10.21857/ygjwrcjjxy","DOIUrl":"https://doi.org/10.21857/ygjwrcjjxy","url":null,"abstract":"In this paper, we study a linear operator related to Hurwitz-Lerch zeta function and hypergeometric function in the punctured unit disk. A certain subclass of meromorphically univalent functions associated with the above operator defined by the concept of subordination is also introduced, and its characteristic properties are studied.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"367 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134363486","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: 8
Hadamard difference sets and related combinatorial objects in groups of order 144 144阶群中的Hadamard差分集及相关组合对象
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 1900-01-01 DOI: 10.21857/ypn4oc88w9
Tanja Vucicic
{"title":"Hadamard difference sets and related combinatorial objects in groups of order 144","authors":"Tanja Vucicic","doi":"10.21857/ypn4oc88w9","DOIUrl":"https://doi.org/10.21857/ypn4oc88w9","url":null,"abstract":"In this paper we address an appealing and so far not completed combinatorial problem of difference set (DS) existence in groups of order 144. We apply our recently established method for DS construction which proves to be very efficient. The result is more than 5000 inequivalent (144, 66, 30) DSes obtained in 131 groups of order 144. The number of nonisomorphic symmetric designs rising from them is 1364. Using the obtained DSes as a source, new regular (144, 66, 30, 30) and (144, 65, 28, 30) partial difference sets are constructed, together with the corresponding strongly regular graphs. 43 non-isomorphic graphs of valency 66 are obtained and 78 of valency 65. The full automorphism groups of these graphs, as well as those of symmetric designs, are explored using the software package Magma.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114815156","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
Resolvent operator of singular Dirac system with transmission conditions 具有传输条件的奇异狄拉克系统的解算符
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 1900-01-01 DOI: 10.21857/mnlqgc00ny
B. Allahverdiev, H. Tuna
{"title":"Resolvent operator of singular Dirac system with transmission conditions","authors":"B. Allahverdiev, H. Tuna","doi":"10.21857/mnlqgc00ny","DOIUrl":"https://doi.org/10.21857/mnlqgc00ny","url":null,"abstract":"This paper is concerned with the resolvent operator of one dimensional singular Dirac operator with transmission conditions. We study the Titchmarsh-Weyl function of this problem. Later, we construct a Green function and a spectral function for regular and singular problems. With the help of these functions, we obtain an expansion into a Fourier series of resolvent in regular case. Furthermore, we give integral representations in terms of the spectral function for the resolvent of this operator with transmission conditions in singular case. Finally, we obtain a formula for the Titchmarsh-Weyl function in terms of the spectral function of the singular Dirac system.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124153355","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: 5
One-alpha weighted network descriptors 加权网络描述符
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 1900-01-01 DOI: 10.21857/94kl4cxxjm
Tanja Vojkovic, D. Vukičević
{"title":"One-alpha weighted network descriptors","authors":"Tanja Vojkovic, D. Vukičević","doi":"10.21857/94kl4cxxjm","DOIUrl":"https://doi.org/10.21857/94kl4cxxjm","url":null,"abstract":"Complex networks are often used to model objects and their relations. Network descriptors are graph-theoretical invariants assigned to graphs that correspond to complex networks. Transmission and betweenness centrality are well known network descriptors and networkness and network surplus have been recently analyzed. All these four descriptors are based on the unrealistic assumption about equal communication between all vertices. Here, we amend this by assuming that vertices on the distance larger then one communicate less than those that are neighbors. We analyze network descriptors for all possible values of the factor α that measures reduction in the communication of the vertices that are not neighbors. We term these descriptors one-alpha descriptors and determine their extremal values.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127582800","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
Minding isometries of ruled surfaces in Lorentz-Minkowski space 洛伦兹-闵可夫斯基空间中直纹曲面的等距
Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti Pub Date : 1900-01-01 DOI: 10.21857/y54jofpplm
Ljiljana Primorac Gajčić, Željka Milin-Šipuš
{"title":"Minding isometries of ruled surfaces in Lorentz-Minkowski space","authors":"Ljiljana Primorac Gajčić, Željka Milin-Šipuš","doi":"10.21857/y54jofpplm","DOIUrl":"https://doi.org/10.21857/y54jofpplm","url":null,"abstract":"In this paper we study isometries of ruled surfaces in the Lorentz-Minkowski space that preserve rulings. A special attention is given to the classes of surfaces having no Euclidean counterparts. We also construct some examples of isometric ruled surfaces with certain properties and rulings preserved.","PeriodicalId":269525,"journal":{"name":"Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117023140","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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