Molecular compounds of the general formula [(RT)4E6] (R=organic or organometallic substituent; T=C, Si, Ge, Sn; E=CH2, S, Se), hence adamantane derivatives and inorganic-organic hybrid based on a heteroadamantane structure exhibit non-linear optical response upon radiation with continuous-wave near-infrared laser. The effect depends compounds’ habitus, which itself elemental composition cluster...

T h e f i r s t s t e p in m o s t c o r p u s b a s e d mul t i l i ngua l N L P work is t o c o n s t r u c t a det a i l e d m a p o f t h e c o r r e s p o n d e n c e b e t w e e n a t e x t a n d i ts t r a n s l a t i o n . Seve ra l au to m a t i c m e t h o d s fo r th i s t a sk have b e e n p rop o s e d in r e c e n t yea r s . "Yet e v e n t h e b e s t o f t h e s e m e t h o d s ...

Let f (z) be an entire function and M(r) the maximum of I f (z) on z = r . We give some results on the density of the set of points at which f (z) I is small in comparison with M(r) ; although simple, these results seem not to have been noticed before . If E is a measurable set in the z-plane, we denote by DR (E) the ratio m(z c E, I z < R)/1rRZ and by D(E) and D(E) the upper and lower densitie...

Figure 1: An overview of Clustervision on a dataset describing 403 paintings by the “Joy of Painting” artist Bob Ross. (A) Ranked List of Clustering Results shows 16 different clustering results that are sorted by the aggregated quality measures; (B) Projection shows a selected clustering result (highlighted in yellow in (A)) on a projection of data points colored corresponding to corresponding...

This study examined whether the conserved arginine cluster present within the 29-amino acid insert of the long form of the D₂ dopamine receptor (D2L-R) confers its predominant intracellular localization. We hypothesized that the conserved arginine cluster (RRR) located within the insert could act as an RXR-type endoplasmic reticulum (ER) retention signal. Arginine residues (R) within the cluste...

with coefficients which are analytic in S. This defines for us a topological space which will be denoted by U. If R is any subset of S then U(R) will denote those points of U whose base points are in R. Now there is a function D(z) analytic and not identically zero in S such that for E denoting the points of S where D vanishes the subset U(E) are possible singularities on U. However, U U(E) = U...

Consider lattice paths in Z taking unit steps north (N) and east (E). Fix positive integers r, s and put an equivalence relation on points of Z by letting v,w be equivalent if v − w = l(r, s) for some l ∈ Z. Call a lattice path valid if whenever it enters a point v with an E-step, then any further points of the path in the class of v are also entered with an E-step. Loehr and Warrington conject...