Abstract Mean age theory is introduced to characterize the mixing performance of tundish based on spatial distribution tracer’s mean age. Conventional residence time was widely used in analysis; however, it contains no information local states. Based distribution, melt change efficiency defined as a index evaluate how quickly old can be replaced by young from ladle. Case studies, divided into t...

The theory of  continuous frames in Hilbert spaces is extended, by using the concepts of measure spaces, in order to get the results of a new application of operator theory.  The $K$-frames were  introduced by G$breve{mbox{a}}$vruta (2012) for Hilbert spaces to study atomic systems with respect to a bounded linear operator. Due to the structure of  $K$-frames, there are many differences between...

The theory of belief functions in discrete domain has been employed with success for pattern recognition. However, the Bayesian approach performs well provided that once the probability density functions are well estimated. Recently, the theory of belief functions has been more and more developed to the continuous case. In this paper, we compare results obtained by a Bayesian approach and a met...

I’m writing these remarks on the occasion of the AIM workshop on model theory for metric structures that Itäı Ben-Yaacov and I are organizing for the week Sept. 18–22, 2006. This is the first research meeting in which the new continuous version of first-order logic takes center stage for discussions about making model theory an effective tool in analysis, probability, and geometry. These remark...