In the title compound, C(28)H(19)F(3)O(2), the C=C double bond has an E configuration. In the crystal, C-H⋯F contacts link the mol-ecules into chains along [111]. The shortest centroid-centroid distance between two π systems is 3.8087 (8) Å and is apparent between the para-fluoro-phenyl group attached to the Michael system and its symmetry-generated equivalent.

We derive a martingale representation for a contingent claim under a Markov-modulated version of the Black-Scholes economy. The martingale representation for the price of the claim is established with respect to an equivalent martingale measure chosen by the Esscher transform. Under some differentiability conditions for the coefficients of the price processes, we shall identify explicitly the i...

We show that for infinite planar unimodular random rooted maps, many global geometric and probabilistic properties are equivalent, and are determined by a natural, local notion of average curvature. This dichotomy includes properties relating to amenability, conformal geometry, random walks, uniform and minimal spanning forests, and Bernoulli bond percolation. We also prove that every simply co...

We establish several equivalent characterisations of the anchored isoperimetric dimension supercritical clusters in Bernoulli bond percolation on transitive graphs. deduce from these together with a theorem Duminil-Copin, Goswami, Raoufi, Severo, and Yadin (Duke Math. J. 2020) that if G is transient graph then infinite are for p sufficiently close to 1. It remains open extend this result down c...

In the title compound, C(28)H(19)F(2)NO(4), a polysubstituted terphenyl derivative bearing a Michael system, the C=C double bond has an E configuration. Two C-H⋯F contacts connect mol-ecules into inversion dimers. In addition, a C-H⋯π as well as a C-F⋯π contact can be identified. The shortest centroid-centroid distance between two aromatic rings is 3.9535 (8) Å, between one of the para-fluoro-b...

249 The compounds (CS(CH3h)Co(NO)X (X = CI, Br, I) have been prepared by reaction of [(CS(CH3)s)Coh(p.-NOh with the appropriate dihalogen X 2• Either by spontaneous decomposition or by addition of half an equivalent of [(CS(CH3)s)CoClh(p.-Clh, the chloro derivative forms the binuclear complex [(CS(CH3)s)CoClh(p.-NO)(p.-CI), the crystal structure of which indicates the presence of a nitrosyl bri...

AIM This study tested the null hypothesis that there is no difference on microleakage of dentin-bordered composite restorations using single or double coats of adhesive from one-bottle adhesive systems. METHODS AND MATERIALS The enamel surface was removed from freshly extracted bovine teeth, and standardized Class V cavities (3 x 3 x 1.5 mm) were made at the cervical areas of buccal surfaces....

PURPOSE The aim of this study was to evaluate the effect of three different adhesive systems on microleakage of Class V restorations after the use of sodium hypochlorite. MATERIALS AND METHODS One-hundred eighty bovine incisors were selected and randomly divided into 9 groups (n = 20): G1: Single Bond (SB); G2: 10% NaOCl solution (NS) + SB; G3: 10% NaOCl gel (NG) + SB; G4: Prime & Bond NT (PB...

introduction: the aim of this in vitro study was to evaluate the effect of 2% chlorhexidine (chx) on the push-out bond strength (bs) of calcium-enriched mixture (cem) cement. methods and materials: root-dentin slices from 60 single-rooted human teeth with the lumen diameter of 1.3 mm were used. the samples were randomly divided into 4 groups ( n =15), and their lumens were filled with cem cemen...