Three squaraine [2]catenanes are synthesized and found to have bright, deep-red fluorescence and high chemical stability. The interlocked molecules undergo two large-amplitude dynamic processes, twisting of the squaraine macrocycle and skipping over the partner tetralactam.

For the two sixth-order polynomials a(s) and b(s), Hurwitz stability of their convex combination is necessary and sufficient for the existence of a polynomial c(s) such that c(s)/a(s) and c(s)/b(s) are both strictly positive real. Our reasoning method is constructive, and is insightful and helpful in solving the general robust strictly positive real synthesis problem.

In this paper, we investigate in a unified way the structural properties of solutions to inverse problems. These solutions are regularized by the generic class of semi-norms defined as a decomposable norm composed with a linear operator, the so-called analysis type decomposable prior. This encompasses several well-known analysis-type regularizations such as the discrete total variation (in any ...

This note introduces practical set invariance notions for physically interconnected, discrete–time systems, subject to additive but bounded disturbances. We offer a concept which allows us to investigate invariance properties for each of the subsystems separately and, hence, to study invariance properties of the overall system in a sensible and decentralized way. The analysis part makes use of ...

We describe the pairs (p, n) such that n-dimensional affine space is fibered by pairwise skew p-dimensional affine subspaces. The problem is closely related with the theorem of Adams on vector fields on spheres and the Hurwitz-Radon theory of composition of quadratic forms.

Boron, discovered as an element in 1808 and produced in pure form in 1909, has still remained the last elemental material, having stable natural isotopes, with the ground state crystal phase to be unknown. It has been a subject of long-standing controversy, if α-B or β-B is the thermodynamically stable phase at ambient pressure and temperature. In the present work this enigma has been resolved ...

In this paper, we investigate in a unified way the structural properties of solutions to inverse problems. These solutions are regularized by the generic class of semi-norms defined as a decomposable norm composed with a linear operator, the so-called analysis type decomposable prior. This encompasses several well-known analysis-type regularizations such as the discrete total variation (in any ...

In the framework of collection and determination of coastal sand dune plants of S Caspian Sea in Gilan and Mazandaran provinces (N Iran), a new species of the family Poaceae,Cenchrus longispinus (Hack.) Fernald, was determined in coastline of Babolsar, Mazandaran. Cenchrus longispinus is closely resembles C. spinifex and C. echinatus. From the latter it is best distinguished by the absence of a...

Based on the cranking model and the random phase approximation, we point out that the wobbling excitation on top of the s band in Os is stable against angular momentum tilting. This is consistent with the general trend that the wobbling excitations in γ < 0 rotating nuclei are more stable than those in γ > 0 ones found in our previous studies. In higher N isotopes known to be γ soft, however, a...

When is an acene stable? The pronounced multiradical character of graphene nanoribbons of different size and shape was investigated with high-level multireference methods. Quantitative information based on the number of effectively unpaired electrons leads to specific estimates of the chemical stability of graphene nanostructures.