Span categories provide an abstract framework for formalizing mathematical models of certain systems. The descriptions some systems, such as classical mechanical require that do not have pullbacks, and this limits the utility span a formal framework. Given $\mathscr{C}$ $\mathscr{C}^\prime$ functor $\mathcal F$ from to $\mathscr{C}^\prime$, we introduce notion pullback cospan in $\mathscr{C}$, ...

We present the results of a systematic analysis of the intrinsic optical afterglow light curves for a complete sample of gamma-ray bursts (GRBs) observed in the period from 1997 February to 2005 August. These light curves are generally well sampled, with at least four detections in the R band. The redshifts of all the bursts in the sample are available. We derive the intrinsic R-band afterglow ...

We prove that the following two categories of sl(n,C)-modules are equivalent: 1) the category of modules with integral support filtered by submodules of Verma modules and complete with respect to Enright’s completion functor; 2) the category of all subquotients of modules F ⊗ M , where F is a finite-dimensional module and M is a fixed simple generic Gelfand-Zetlin module with integral central c...

One of the key questions about genomic alterations in cancer is whether they are functional in the sense of contributing to the selective advantage of tumor cells. The frequency with which an alteration occurs might reflect its ability to increase cancer cell growth, or alternatively, enhanced instability of a locus may increase the frequency with which it is found to be aberrant in tumors, reg...

This paper describes an experiment examining how people compare two alternative categories and decide whether a given item would be better placed in one category or the other. The experiment asks whether an item's comparative classification in one of two alternative categories is related to the difference between the item's typicality as a member of those two categories. The alternative categor...

Abstract We exhibit the cartesian differential categories of Blute, Cockett and Seely as a particular kind enriched category. The base for enrichment is category commutative monoids—or in straightforward generalisation, modules over rig k . However, tensor product on this not usual one, but rather warping it by certain monoidal comonad Q Thus sense, skew sense Szlachányi. Our first main result ...