The nonelliptic A2-webs with k “+”s on the top boundary and 3n − 2k “−”s on the bottom boundary combinatorially model the space Homsl3(V,V) of sl3-module maps on tensor powers of the natural 3-dimensional sl3-module V, and they have connections with the combinatorics of Springer varieties. Petersen, Pylyavskyy, and Rhodes showed that the set of such A2-webs and the set of semistandard tableaux ...

We propose to prove in this paper a conjecture of R. M. Robinson which generalizes to domains of connectivity w ^ 3 a result which he proved [3] for doubly-connected domains. Let D be a finite domain of the s-plane bounded by n^2 simple, closed, disjoint analytic curves, &, • • • , Cn, whose sum we denote by C. Let z0 be a point of D. We consider the class 0 of functions F(z) in D with a t most...

We consider two theories of concatenation, F and TC, proposed by Grzegorczyk, and proofs of their mutual interpretability. We also discuss the Grzegorczyk’s project of replacing, in foundational studies, the Robinson’s Q by some variant of the theory of

Laboratoire de Mathématiques Appliquées, Informatique et Automatique pour l’Aérien (MAIAA), Département Sciences et Ingénierie de la Navigation Aérienne (SINA), École Nationale de l’Aviation Civile (ENAC), 7 avenue Edouard Belin CS 54005, 31055 Toulouse, France; [email protected] * Correspondence: [email protected]; Tel.: +33-5-6217-9503 † This paper is an extended version of our...

The classic rank-based method for comparing J dependent groups is Friedman’s test. Consider a random sample of n vectors from some J-variate distribution. As is well-known, Friedman’s test assigns ranks to the values within each vector and is based on a compound symmetry assumption under the hypothesis of no treatment effect (e.g., Brunner, Domhof, & Langer, p. 68). That is, the distribution is...

In Part I of this thesis, we locate a (conjecturally complete) set of unitary representations in the admissible dual of U(p, q). In a little more detail, Barbasch and Vogan have used the theory of Kazhdan-Lusztig cells to parametrize the irreducible Harish-Chandra modules with integral infinitesimal character in terms of their annihilators and associated varieties. Vogan has conjectured that th...

The binding of syndapin SH3 domain to dynamin proline-rich domain involves short and long distance elements. (2015). Chloride channel ClC-5 binds to aspartyl aminopeptidase to regulate renal albumin endocytosis. (2015). Glycogen synthase kinase 3 regulates acrosomal exocytosis in mouse spermatozoa via dynamin phosphorylation. (2015). Microtubule-associated protein 6 mediates neuronal connectivi...

TO THE EDITOR—We thank Robinson [1] for the comments about our report [2] and for the opportunity to clarify our findings. As we stated in our research protocol (clinical trials registration NCT00500578) in the Materials and Methods section in our report, as well as in our response to Fätkenheuer et al [3], the prespecified significance threshold for declaring one arm superior to the other was ...

The minimal prolongation structure for the Robinson-Trautman equations of Petrov type III is shown to always include the infinite-dimensional, contragredient algebra, K 2 , which is of infinite growth. Knowledge of faithful representations of this algebra would allow the determination of Bäcklund transformations to evolve new solutions. The general class of Robinson-Trautman solutions [1] to th...