{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:44:06Z","timestamp":1753893846118,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>Suppose $d+1$ absolute continuous probability measures $m_0, \\ldots, m_d$ on $\\mathbb{R}^d$ are given. In this paper, we prove that there exists a point of $\\mathbb{R}^d$ that belongs to the convex hull of $d+1$ points $v_0, \\ldots, v_d$ with probability at least $\\frac{2d}{(d+1)!(d+1)}$, where each point $v_i$ is sampled independently according to probability measure $m_i$.<\/jats:p>","DOI":"10.37236\/4374","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T19:52:17Z","timestamp":1578685937000},"source":"Crossref","is-referenced-by-count":1,"title":["A Slight Improvement to the Colored B\u00e1r\u00e1ny's Theorem"],"prefix":"10.37236","volume":"21","author":[{"given":"Zilin","family":"Jiang","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2014,11,20]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p39\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v21i4p39\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T05:40:16Z","timestamp":1579239616000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v21i4p39"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,20]]},"references-count":0,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2014,10,2]]}},"URL":"https:\/\/doi.org\/10.37236\/4374","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2014,11,20]]},"article-number":"P4.39"}}