It is well known that tree-structured perfect maps can be uniquely identified by computing a maximum weight spanning tree with mutual information providing the edge weights. In this paper I generalize the edge evaluation measure by stating the conditions such a measure has to satisfy in order to be able to identify tree-structured perfect maps. In addition, I show that not only mutual informati...

In their paper published in 1990, Miller and Mocanu have investigated the special function Gaussian hypergeometric view of its relation to theory analytic functions, stating conditions for this be univalent using a,b,c∈ℝ, c≠0,−1,−2,…. The study done extends results on univalence considered taking a,b,c∈ℂ, with c≠0,−1,−2,… two criteria being stated corollaries proved theorems. An interpretation ...

We discuss the converse of a theorem of Potter stating that if the matrix equation AB = ωBA is satisfied with ω a primitive qth root of unity, then Aq+Bq = (A+B)q. We show that both conditions have to be modified to get a converse statement and we present a characterization when the converse holds for these modified conditions and q = 3 and a conjecture for the general case. We also present som...

Abstract. Under suitable conditions a flow on a torus C–close, with p large enough, to a quasi periodic diophantine rotation is shown to be conjugated to the quasi periodic rotation by a map that is analytic in the perturbation size. This result is parallel to Moser’s theorem stating conjugability in class C ) for some p < p. The extra conditions restrict the class of perturbations that are all...

We consider a control constrained optimal control problem governed by a semilinear elliptic equation with nonlocal interface conditions. These conditions occur during the modeling of diffusegray conductive-radiative heat transfer. After stating first-order necessary conditions, second-order sufficient conditions are derived that account for strongly active sets. These conditions ensure local op...

Platinum-based anticancer drugs enhance the immunostimulatory potential of DCs and decrease the immunosuppressive capacity of tumor cells. This immunomodulatory ability is based on the inhibition of STAT6-mediated expression of co-inhibitory molecule PD-L2 and opens up the possibility of using these drugs in combination with other immunostimulatory compounds.

Obtaining common sense knowledge using current information extraction techniques is extremely challenging. In this work, we instead propose to derive simple common sense statements from fully annotated object detection corpora such as the Microsoft Common Objects in Context dataset. We show that many thousands of common sense facts can be extracted from such corpora at high quality. Furthermore...