In previous work, we introduced a simple algorithm for producing motion by mean curvature of a surface, in which the motion is generated by alternately diiusing and renormalizing a characteristic function. This procedure is interesting due to its extreme simplicity, and because it isolates the connection between diiusion and curvature motion. However, it makes sense only for surfaces, i.e. obje...

A game with a restricted cooperation is a triple (N, v,Ω), where N is a finite set of players, Ω ⊂ 2 , N ∈ Ω is a collection of feasible coalitions, v : Ω→ R is a characteristic function. The definition implies that if Ω = 2 , then the game (N, v,Ω) = (N, v) is the classical TU cooperative game. The class of all games with a restricted cooperation G with an arbitrary universal set of players is...

Test procedures are constructed for testing the goodness-of-fit in parametric regression models. The test statistic is in the form of an L2 distance between the empirical characteristic function of the residuals in a parametric regression fit and the corresponding empirical characteristic function of the residuals in a non-parametric regression fit. The asymptotic null distribution as well as t...

In this paper, we will give a simpler proof for the uniqueness in the following inverse problem which we have already discussed in Preprint UTMS 2001-30 (Graduate School of Mathematical Sciences, The University of Tokyo, 2001):We consider an inverse problem of identifying the support D of a source term in an elliptic equation −∆u(x) + q(x)χD(x)u(x) = 0, x ∈ Ω and u(x) = f(x), x ∈ ∂Ω. Here q is ...

This paper uses the Tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of J. Zheng.

this paper uses the tsuji’s characteristic to investigate the uniqueness of transcen- dental meromorphic function with shared values in an angular domain dealing with the multiple values which improve a result of j. zheng.

In this paper, we deal with games with fuzzy payoffs. We proved that players who are playing a zero-sum game with fuzzy payoffs against Nature are able to increase their joint payoff, and hence their individual payoffs by cooperating. It is shown that, a cooperative game with the fuzzy characteristic function can be constructed via the optimal game values of the zero-sum games with fuzzy payoff...

In this paper, we develop an optimization model for the economic design of repetitive sampling plan in the presence of two markets. The process under consideration produces a product with a normally distributed quality characteristic with unknown mean and known variance. The quality characteristic has a lower specification limit. The quality of the product is controlled via lot-by-lot acceptanc...