{"title":"On some properties of Kiepert parabola in the isotropic plane","authors":"Vladimir Volenec, Zdenka Kolar-Begović","doi":"10.21857/yl4okf5qp9","DOIUrl":"https://doi.org/10.21857/yl4okf5qp9","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135107363","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}
In this paper we compare different definitions of the (largest) Lebesgue number of a cover $mathcal{U}$ for a metric space $X$. We also introduce the relative version for the Lebesgue number of a covering family $mathcal{U}$ for a subset $Asubseteq X$, and justify the relevance of introducing it by giving a corrected statement and proof of the Lemma 3.4 from S. Buyalo - N. Lebedeva paper"Dimensions of locally and asymptotically self-similar spaces", involving $lambda$-quasi homothetic maps with coefficient $R$ between metric spaces, and the comparison of the mesh and the Lebesgue number of a covering family for a subset on both sides of the map.
{"title":"The (largest) Lebesgue number and its relative version","authors":"Vera Tonić","doi":"10.21857/94kl4clkom","DOIUrl":"https://doi.org/10.21857/94kl4clkom","url":null,"abstract":"In this paper we compare different definitions of the (largest) Lebesgue number of a cover $mathcal{U}$ for a metric space $X$. We also introduce the relative version for the Lebesgue number of a covering family $mathcal{U}$ for a subset $Asubseteq X$, and justify the relevance of introducing it by giving a corrected statement and proof of the Lemma 3.4 from S. Buyalo - N. Lebedeva paper\"Dimensions of locally and asymptotically self-similar spaces\", involving $lambda$-quasi homothetic maps with coefficient $R$ between metric spaces, and the comparison of the mesh and the Lebesgue number of a covering family for a subset on both sides of the map.","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135107534","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":"Numerical radius points of a bilinear mapping from the plane with the l1-norm into itself","authors":"Sung Guen Kim","doi":"10.21857/y7v64tvgly","DOIUrl":"https://doi.org/10.21857/y7v64tvgly","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"210 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135107547","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 Hurewicz theorem in Sh◦* and Sh◦*²","authors":"Nikola Koceić Bilan, Ivančica Mirošević","doi":"10.21857/ypn4ocdn79","DOIUrl":"https://doi.org/10.21857/ypn4ocdn79","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"96 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135151625","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":"Bounds for confluent Horn function Φ2 deduced by McKay Iν Bessel law","authors":"Dragana Jankov Maširević, Tibor K. Pogány","doi":"10.21857/9xn31cd8wy","DOIUrl":"https://doi.org/10.21857/9xn31cd8wy","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135151899","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":"Bisectors of conics in the isotropic plane","authors":"Ema Jurkin","doi":"10.21857/mzvkptljl9","DOIUrl":"https://doi.org/10.21857/mzvkptljl9","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"46 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135151622","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":"Refined Euler’s inequalities in plane geometries and spaces","authors":"Darko Veljan","doi":"10.21857/y6zolb6ldm","DOIUrl":"https://doi.org/10.21857/y6zolb6ldm","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"85 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135151900","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}
Jelena Bolkovac, Andrea Zabjan Bogut, Ivo Alfirević, Ivo Senjanović
{"title":"Povijesni pregled razvoja hrvatskih tehničkih časopisa","authors":"Jelena Bolkovac, Andrea Zabjan Bogut, Ivo Alfirević, Ivo Senjanović","doi":"10.21857/m16wjcn459","DOIUrl":"https://doi.org/10.21857/m16wjcn459","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135440237","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}
Josef Eberhardsteiner, Sebastian Pech, Maximilian Autengruber, Christoffer Vida, Markus Lukacevic, Markus Königsberger, Josef Füssl
{"title":"Numerical modeling in timber engineering – moisture transport and quasi-brittle failure","authors":"Josef Eberhardsteiner, Sebastian Pech, Maximilian Autengruber, Christoffer Vida, Markus Lukacevic, Markus Königsberger, Josef Füssl","doi":"10.21857/yvjrdcvgjy","DOIUrl":"https://doi.org/10.21857/yvjrdcvgjy","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135441026","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 Varchenko determinant formula for oriented braid arrangements","authors":"Milena Sošić","doi":"10.21857/moxpjh1l0m","DOIUrl":"https://doi.org/10.21857/moxpjh1l0m","url":null,"abstract":"","PeriodicalId":53895,"journal":{"name":"Rad Hrvatske Akademije Znanosti i Umjetnosti-Matematicke Znanosti","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135107367","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}