We consider spectral optimization problems of the form min { λ1(Ω;D) : Ω ⊂ D, |Ω| = 1 } , where D is a given subset of the Euclidean space R. Here λ1(Ω;D) is the first eigenvalue of the Laplace operator −∆ with Dirichlet conditions on ∂Ω ∩D and Neumann or Robin conditions on ∂Ω ∩ ∂D. The equivalent variational formulation λ1(Ω;D) = min {∫

We have examined the binding of Mnt repressor to operator DNA in vitro and have determined how this binding affects the level of transcription from two nearby promoters, Pant and Pmnt. Mnt binds to a region of DNA that overlaps the startpoint of transcription of Pant and the -35 region of Pmnt. Mnt represses transcription in vitro from Pant and enhances transcription from Pmnt. Protection and i...

OBJECTIVES This study sought to perform a randomized noninferiority trial of radiation exposure during cardiac catheterization comparing femoral access (FA) with left radial access (LRA) and right radial access (RRA). BACKGROUND Increased radiation exposure with radial approach compared with femoral approach remains a controversial issue. METHODS This study randomized 1,493 patients undergo...

In this paper, we consider a variant of adaptive robust combinatorial optimization problems where the decision maker can prepare K solutions and choose best among them upon knowledge true data realizations. We suppose that uncertainty may affect objective constraints through functions are not necessarily linear. propose new exact algorithm for solving these when feasible set nominal problem doe...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.