An ovoid of PG(3, q), q > 2, is a set of q + 1 points of PG(3, q), no three of which are collinear. The only known ovoids of PG(3, q) are the elliptic quadrics, which exist for all q, and the Suzuki-Tits ovoids, which exist for q = 2, e ≥ 3 odd, [10]. It is well known that for odd q, the only ovoids are the elliptic quadrics. For even q, the ovoids have been classified only for q up to and incl...

Silica-grafted n-propyl-diaza-15-crown-5 (SGPDC) with immobilized palladium nanoparticles was found as an efficient heterogeneous catalytic system for the Heck and Suzuki coupling reactions and satisfied results were obtained. Different derivatives of aryl halides and alkenes under the Heck reaction were converted to the corresponding products with good efficiency. The presence of elec...

Diverse meso-aminophenyl-, hydroxyphenyl-, and phenyl-substituted heptamethine cyanine dyes were prepared by a modified Suzuki--Miyaura method in good yields. In addition, direct Suzuki coupling of Vilsmeier--Haack reagent extends the procedure to the synthesis of otherwise difficult cyanine dyes containing multiple heteroatoms in the indolium ring. The new compounds possess excellent spectral ...

We describe a solid polyphenylene support that serves as an excellent platform for metal-catalyzed reactions that are normally carried out under homogeneous conditions. The catalyst is synthesized by palladium-catalyzed Suzuki coupling which directly results in formation of palladium nanoparticles confined to a porous polyphenylene network. The composite solid is in turn highly active for furth...

The spectrum ?(G) of a finite group G is the set orders its elements. following sufficient criterion nonsolvability proved: if, among prime divisors order G, there are four different primes such that contains all their pairwise products but not product any three these numbers, then nonsolvable. Using this result, we show for q ? 8 and ? 32, direct square Sz(q) × simple exceptional Suzuki unique...

The Suzuki cross-coupling reaction is about 30 years old and represents a smooth method for creating carbon-carbon bonds. Typically, in the Suzuki reaction aryl halides are combined with an aryl boronic acid or boronic ester in the presence of a Pd(0) catalyst and base to afford a variety of biaryl compounds (Scheme 1). These biphenyl templates are very common in non-steroidal anti-inflammatory...

Microwave-assisted Suzuki-Miyaura cross-coupling reactions have been employed towards the synthesis of three different MAPKAPK2 (MK2) inhibitors to study accelerated aging in Werner syndrome (WS) cells, including the cross-coupling of a 2-chloroquinoline with a 3-pyridinylboronic acid, the coupling of an aryl bromide with an indolylboronic acid and the reaction of a 3-amino-4-bromopyrazole with...

This paper describes and empirically evaluates a biologically-inspired adaptation mechanism that allows network applications to autonomously adapt to dynamic environment changes in the network. Based on the observation that the immune system has elegantly achieved autonomous adaptation, the proposed mechanism, called the iNet artificial immune system, follows the mechanisms behind how the immun...