{"title":"Uber die explizit-losbaren vekuaschen Differentialgleichungen","authors":"Miloš Čanak","doi":"10.2298/PIM0374103C","DOIUrl":"https://doi.org/10.2298/PIM0374103C","url":null,"abstract":"(nemacki) Man untersucht die sgn. explizit—losbaren Vekuaschen komplexen Differentialgleichungen w'ž = A(z,z)w + B(z,z) wessen Koeffizienten A(z,z) und B(z,z) stetige Funktionen in einem Gebiet Ω sind. In fruheren Arbeiten wurde die allgemeine Losung dieser Gleichung mit Hilfe der singularen Doppelintegrale vom Cauchyschen Typus, der unendlichen Reihen und Rekurrenzen ausgedruckt. In dieser Arbeit wird zum ersten mal (fur A(z,z)≠0) die allgemeine Losung einer breiten Klasse der Vekuaschen Differentialgleichungen in einem endlichen, geschlossenen und expliziten Form w = w(z,z,Q(z),Q(z),Q'(z)) entdeckt, wobei Q(z) beliebige, analytische Funktion ist. Diese sgn. Ғ-allgemeine Losung ermoglicht die Trennung des reellen und imaginaren Teiles und dadurch die Anwendungen in der Physik und Mechanik, wie auch das Aufl¨osen verschiedener Randwertaufgaben.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"115 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":"115242479","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}
{"title":"Independence complexes of comaximal graphs of commutative rings with identity","authors":"Nela Milosevic","doi":"10.2298/PIM150126018M","DOIUrl":"https://doi.org/10.2298/PIM150126018M","url":null,"abstract":"We study topology of the independence complexes of comaximal (hyper)graphs of commutative rings with identity. We show that the independence complex of comaximal hypergraph is contractible or homotopy equivalent to a sphere, and that the independence complex of comaximal graph is almost always contractible.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"13 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":"115390079","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}
{"title":"Inference in action","authors":"J. Benthem","doi":"10.2298/PIM0796003V","DOIUrl":"https://doi.org/10.2298/PIM0796003V","url":null,"abstract":"Substructural logics arise whenever classical logic is put to new uses, and logicians from Serbia have been in the fore-front here. In this paper, we join the substructural tradition with another recent trend, viz. dynamic logic of information update. We show how these two approaches fit together, in particular, through a number of representation theorems concerning structural rules. The proper background for these results turn out to be modal and dynamic logics of cross-model relations. We connect this finding with recent accounts of generalized inference, interpolation, and preservation results.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"35 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":"116640976","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}
{"title":"Analytic equivalence of plane curve singularities yn +xαy +xβa(x) = 0","authors":"V. Stepanović, A. Lipkovski","doi":"10.2298/PIM0795069S","DOIUrl":"https://doi.org/10.2298/PIM0795069S","url":null,"abstract":"There are not many examples of complete analytical classification of specific families of singularities, even in the case of plane algebraic curves. In 1989, Kang and Kim published a paper on analytical classification of plane curve singularities yn+a(x)y+b(x) = 0, or, equivalently, yn+xαy+xβA(x) = 0 where A(x) is a unit in Ct{x}, α and β are integers, α _ n − 1 and β _ n. The classification was not complete in the most difficult case α n−1 = β n. In the present paper, the classification is extended also in this case, the proofs are improved and some gaps are removed.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"41 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":"116673621","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}
{"title":"An efficient procedure for mining statistically significant frequent itemsets","authors":"P. Stanisic, S. Tomovic","doi":"10.2298/PIM1001109S","DOIUrl":"https://doi.org/10.2298/PIM1001109S","url":null,"abstract":"We suggest the original procedure for frequent itemsets generation, which is more efficient than the appropriate procedure of the well known Apriori algorithm. The correctness of the procedure is based on a special structure called Rymon tree. For its implementation, we suggest a modified sort-merge-join algorithm. Finally, we explain how the support measure, which is used in Apriori algorithm, gives statistically significant frequent itemsets.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"3 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":"116790803","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}
{"title":"An enumerative problem in threshold logic","authors":"Zana Kovijanic-Vukicevic","doi":"10.2298/PIM0796129K","DOIUrl":"https://doi.org/10.2298/PIM0796129K","url":null,"abstract":"The number of Boolean threshold functions is investigated. A new lower bound on the number of n-dimensional threshold functions on a set {0, 1,..., K − 1} is given.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"97 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":"117204285","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}
{"title":"Sasaki metric on the tangent bundle of a Weyl manifold","authors":"C. Bejan, İlhan Gül","doi":"10.2298/PIM1817025B","DOIUrl":"https://doi.org/10.2298/PIM1817025B","url":null,"abstract":"Let (M, [g]) be a Weyl manifold of dimension m > 2. By using the Sasaki metric G induced by g, we construct a Weyl structure on T M . Then we prove that it is never Einstein–Weyl unless (M, g) is flat. The main theorem here extends to the Weyl context a result of Musso and Tricerri.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"24 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":"121030227","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}
{"title":"On the index of cactuses with n vertices","authors":"B. Borovićanin, M. Petrovic","doi":"10.2298/PIM0693013B","DOIUrl":"https://doi.org/10.2298/PIM0693013B","url":null,"abstract":"Among all connected cactuses with n vertices we find a unique graph whose largest eigenvalue (index, for short) is maximal.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"10 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":"121239800","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}
{"title":"TWISTED PRODUCT CR-SUBMANIFOLDS IN A LOCALLY CONFORMAL KAEHLER MANIFOLD","authors":"Koji Matsumoto, Z. Ṣentürk","doi":"10.2298/PIM1308131M","DOIUrl":"https://doi.org/10.2298/PIM1308131M","url":null,"abstract":"Dedicated to Professor Mileva Prvanovic on the occasion of her 83rd birthday Abstract. Recently, we have researched certain twisted product CR-submani- folds in a Kaehler manifold and some inequalities of the second fundamental form of these submanifolds (11). We consider here two kinds of twisted product CR-submanifolds (the first and the second kind) in a locally conformal Kaehler manifold. In these sub- manifolds, we give inequalities of the second fundamental form (see Theorems 5.1 and 5.2) and consider the equality case of these.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"15 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":"121318402","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}
{"title":"The cosine series and regular variation in the Karamata and Zygmund senses","authors":"R. Bojanić, E. Seneta","doi":"10.2298/PIM1818053B","DOIUrl":"https://doi.org/10.2298/PIM1818053B","url":null,"abstract":"Abstract. The asymptotic behaviour of the coefficients of cosine series is related to the behaviour at the origin of its sum function, in terms of slowly varying functions (SVF’s), and regularly varying sequences. Our work is motivated by the study of the sine series with monotone coefficients of Aljanc̆ić, Bojanić and Tomić (1956), which is in terms of SVF’s in the Karamata sense. The direction of our approach to the cosine series is motivated by the recent presentation (using SVF’s in the Zygmund sense) of Samorodnitsky (2016). An obituary for the first author by the second author, with specific relevance to our subject matter, is attached as Section 7.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","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":"127206494","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}