Abstract Herein, we have studied the exciton dynamics of a novel fused ring π -conjugated molecule (YS3) in solution and film states by spectroscopic measurements. This incorporates dithienonaphthobisthiadiazole as core unit that is two-dimensionally -extended ring. As result, found long lifetime YS3 films originating from reduced radiative nonradiative transitions. partly because deactivation ...

A method is proposed for e ciently computing moving average lters in regular octagonal windows, as approximations to circular windows. The algorithm requires thirteen operations per pixel irrespective of window size and is faster than existing Fourier-based and recursive methods for all but the smallest windows. Further, new variance-weighted nonlinear lters are introduced, based on moving aver...

In a recent paper, I began with four classical results due to Jacobi, Dirichlet and Lorenz which give the number of representations of a number by various forms involving squares in terms of divisor functions. I deduced another sixteen similar representation theorems involving triangular numbers and/or squares, including celebrated results of Legendre and Ramanujan (and omitted a seventeenth, g...

in this work, we investigate the transfer of some homological properties from a ring $r$ to its amalgamated duplication along some ideal $i$ of $r$ $rbowtie i$, and then generate new and original families of rings with these properties.

for a ring endomorphism $alpha$ and an $alpha$-derivation $delta$, we introduce a concept, so called skew $pi$-armendariz ring, that is a generalization of both $pi$-armendariz rings, and $(alpha,delta)$-compatible skew armendariz rings. we first observe the basic properties of skew $pi$-armendariz rings, and extend the class of skew $pi$-armendariz rings through various ring extensions. we nex...

In the title mol-ecule, C(14)H(14)O(5), the 1,3-dioxane ring is in an envelope conformation with the ring C atom common to the cyclo-hexane ring forming the flap. The other five atoms of the 1,3-dioxane ring are essentially planar [maximum deviation from the least-squares plane = 0.041 (3) Å] and form a dihedral angle of 13.75 (2)° with the furan ring. In the crystal structure, weak inter-molec...

Abstract The occurrence of radial cracks in Sakhalin spruce ( Picea glehnii ), differences the degree cracking among five habitats, and relationship between wood density were investigated a total 79 logs collected from sites Hokkaido, Japan. divided into two types: intra-ring that restricted to within an annual ring larger extended beyond single ring. number longitudinal length log varied depen...

In the title compound, C20H16Cl2N2O2S, the pyrimidine ring has a screw-boat conformation. The attached di-chloro-phenyl ring is twisted at an angle of 89.29 (13)° with respect to the pyrimidine ring mean plane. The benzo-thia-zole group is approximately planar (r.m.s. deviation = 0.008 Å) and inclined to the pyrimidine ring mean plane by 3.04 (10)°. The carboxyl-ate group assumes an extended co...