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 · 6,171 accessesView PDFCite
Research ArticleOpen accessIn the abstractStructural-Topological Synthesis of Planar Mechanisms with Rods and WheelsNicolae Petrescu, Raffaella Aversa, Antonio Apicella, Relly Victoria V. PetrescuToday, robots are increasingly present in the machine building industry, sometimes even in some sections to replace workers altogether, due to the high quality of their work, repetitive, without stopping or pausing, without any manufacturing and assembly scuffs. Additionally, robots do not get sick, do not require medical leave or rest, work faster and better than humans and also support … …Journal of Mechatronics and Robotics, Vol. 2, Issue 1 · 25 Jun 2018 · 6,638 accessesView PDFCite
Research ArticleOpen accessAll words, across the recordThe Outcome of Conservative Treatment of Closed Fracture Shaft Humerus in Adult PatientsM. Taha MuzahimProblem statement: Fractures of the humeral shaft are commonly encountered by the orthopaedic surgeons; accounting for approximately 3% of all fractures. There is a wide array of good options for their treatment and controversy over the best methods for many situations. Appropriate nonoperative and operative treatment of patients with humeral shaft fractures, however, requires an understanding of humeral anatomy, the … …Current Research in Medicine, Vol. 2, Issue 1 · 9 May 2011 · 8,016 accessesView PDFCite