Abstract Palladium‐catalyzed (3+3) and (3+4) cycloannulations between vinylcyclopropanes various (hetero)aromatic aldehydes are reported. The use of phosphonate‐substituted provides access to a variety bi‐ or tricyclic heteroaromatic scaffolds via an allylation/olefination cascade. nature the mechanism was investigated by control experiments. magnified image

Many existing degree based topological indices can be clasified as bond incident degree (BID) indices, whose general form is BID(G) = ∑ uv∈E(G) Ψ(du, dv), where uv is the edge connecting the vertices u, v of the graph G, E(G) is the edge set of G, du is the degree of the vertex u and Ψ is a non-negative real valued (symmetric) function of du and dv. Here, it has been proven that if the extensio...

INTRODUCTION Psychiatrists have been very reluctant to accept the idea that depressions, which they know so well, may be caused by allergies to common environmental molecules such as foods, airborne particles, and chemicals in water. When patients were depressed and anxious, and at the same time suffered from diseases accepted as allergic, psychosomatic explanations were used. This usually mean...