The title complex, [Sn(IV)(C(44)H(28)N(4))(CNO)(OH)], exhibits substitutional disorder of the OH(-) and OCN(-) axial ligands. Thus, the cyanato-O ligand and the hydroxyl group bonded to the central Sn(IV) atom share statistically the axial position. The Sn(IV) ion is hexa-coordinated by the four N atoms of the pyrrole rings of the tetra-phenyl-porphyrin (TPP) and the O atoms of the two disorder...

Abstract. We say that permutations π1, . . . , πr ∈ Sn invariably generate Sn if, no matter how one chooses conjugates π 1 , . . . , π r of these permutations, π 1 , . . . , π r generate Sn. We show that if π1, π2, π3 are chosen randomly from Sn then, with probability tending to 1 as n → ∞, they do not invariably generate Sn. By contrast it was shown recently by Pemantle, Peres and Rivin that f...

Proof. Let A = k[s1, . . . , sn] where s1, . . . , sn ∈ A. We assume that A is not integral over k, in which case at least one of the si is not algebraic over k. If the set {s1, . . . , sn} is algebraically independent, then we are done. Otherwise assume that sn is algebraic over k[s1, . . . , sn−1] (by relabeling if necessary). Let f(x1, . . . , xn) be a nonzero polynomial with f(s1, . . . , s...

In [2], Dixon considered the following question: " Suppose two permutations are chosen at random from the symmetric group Sn of degree n. What is the probability that they will generate Sn? " Actually, Netto conjectured last century that almost all pairs of elements from Sn will generate Sn or An. Dixon showed that this is true in the following sense: The proportion of ordered pairs (x, y) (x, ...

The Sn(IV) atom in the title compound, [Sn(C(6)H(5))(2)Cl(2)(C(13)H(12)OS)], displays a distorted C(2)Cl(2)O trigonal-bipyramidal coordination environment, with a mean Sn-C distance of 2.121 (9) Å and with Sn-O = 2.331 (2) Å. The Sn(IV) atom is displaced by 0.169 (2) Å from the equatorial C(2)Cl plane towards the direction of the second axially bonded Cl atom.

We investigated the anatomical and functional organization of the human substantia nigra (SN) using diffusion and functional MRI data from the Human Connectome Project. We identified a tripartite connectivity-based parcellation of SN with a limbic, cognitive, motor arrangement. The medial SN connects with limbic striatal and cortical regions and encodes value (greater response to monetary wins ...

OBJECTIVE The purpose of this study was to evaluate, by means of cephalometric appraisal, the vertical effects of non-extraction treatment of adult anterior open bite with clear aligners (Invisalign system, Align Technology, Santa Clara, CA, USA). METHODS Lateral cephalograms of 30 adult patients with anterior open bite treated using Invisalign (22 females, 8 males; mean age at start of treat...

Shengjiang Xiexin decoction (SXD), a classic traditional Chinese medical formula chronicled in Shang Han Lun, is used in modern clinical practice to decrease gastrointestinal toxicity induced by the chemotherapeutic drug irinotecan (CPT-11). In this study, the effect of SXD on the pharmacokinetics of CPT-11 and its active metabolites (SN-38 and SN-38G), and the underlying mechanisms were furthe...

There is a growing number of supernovae (SNe), mainly of Type IIn, which present an outburst prior to their presumably final explosion. These precursors may affect the SN display, and are likely related to some poorly charted phenomena in the final stages of stellar evolution. Here we present a sample of 16 nearby Type IIn SNe for which we have Palomar Transient Factory (PTF) observations obtai...

Aims. Long-duration gamma-ray bursts (GRBs) have been found to be associated with broad-lined type-Ic supernovae (SNe), but only a handful of cases have been studied in detail. Prompted by the discovery of the exceptionally bright, nearby GRB 130427A (redshift z = 0.3399), we aim at characterising the properties of its associated SN 2013cq. This is the first opportunity to test directly the pro...