Research ArticleOpen accessIn the keywordsProof of Frankl's Conjecture: A Non-Constructive ApproachYonghong LiuLet U be a finite set and X a family of nonempty subsets of U,which is closed under unions. We establish a connection between Frankl'sconjecture and equipollence sets, in which a complementary set is anEquipollence set on the Frobenius group. We complete the proof of theunion-closed sets using a non-constructive approach. The proof relies upon thatwe need to prove, that … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 21 Sep 2022 · 6,175 accessesView PDFCite
Research ArticleOpen accessIn the abstractMosaic Masonries to Interpret Diagnostic Test ResultsRamalingam ShanmugamCurrently, assessing superiority of a diagnostic test requires cumbersome calculations and confusing interpretations because of nonlinear Receiver Operating Characteristic Curve (ROC). To remedy these difficulties, this article prepares, provides an easier alternate geometric approach. That is, a simple but more effective visual approach with two complementary mosaic masonries are constructed with their properties, superimposed and utilized. First masonry is conditional … …Current Research in Medicine, Vol. 4, Issue 1 · 12 Feb 2013 · 6,858 accessesView PDFCite