We compute the asymptotic behavior of average-case filling volume for certain models random Lipschitz cycles in unit cube and sphere. For example, we estimate minimal area a Seifert surface model knots first studied by Millett. This is generalization classical Ajtai--Koml\'os--Tusn\'ady optimal matching theorem from combinatorial probability. The author hopes applications to topology links, map...

Despite the urgent need to develop professional ethics regarding information behaviour, several obstacles exist in Japan. The greatest is the lack of individuals’ ethics of responsibility. To overcome this difficulty, we must examine and reflect on the historical circumstances that led to the formation of Japanese core ethics and on the sociocultural context that compensates for the lack of ind...