Let I denote a homogeneous R+-primary ideal in a twodimensional normal standard-graded domain over an algebraically closed field of characteristic zero. We show that a homogeneous element f belongs to the solid closure I∗ if and only if eHK(I) = eHK((I, f)), where eHK denotes the (characteristic zero) Hilbert-Kunz multiplicity of an ideal. This provides a version in characteristic zero of the w...

a retrospective analysis was performed on forty cases of spinal cord meningiomas, operated on at dr. shariati hospital from 1976 to 1990. age and sex distribution, clinical presentation and tumor location were comparable to those reported by others. in males the tumors were distributed evenly in cervical and dorsal areas and were often anterior to the cord. this finding makes a different surgic...

We show that the tight span of a path connected subset Manhattan plane can be constructed in very simple way by “hatching” horizontal and vertical directions then taking closure resulting set.

Actomyosin contraction powers the sealing of epithelial sheets during embryogenesis and wound closure; however, the mechanisms are poorly understood. After laser ablation wounding of Madin-Darby canine kidney cell monolayers, we observed distinct steps in wound closure from time-lapse images of myosin distribution during resealing. Immediately upon wounding, actin and myosin II regulatory light...

The split closure has been proved in practice to be a very tight approximation of the integer hull formulation of a generic mixed-integer linear program. However, exact separation procedures for optimizing over the split closure have unacceptable computing times in practice, hence many different heuristic strategies have been proposed in the last years. In this paper we present a new overall fr...

We characterize strong F-regularity, a property associated with tight closure, in a large class of rings. A special case of our results is a workable criterion in complete intersection rings. Tight closure is a recently introduced operation linked to a variety of results in commutative algebra. Among the major results achieved with its use are a generalization of the Direct Summand Conjecture f...