In the crystal structure of the non-solvate form of the title compound, [Au(2)Cl(2)(C(30)H(24)P(2))], two almost linear P-Au(I)-Cl units [175.87 (3) and 171.48 (3)°] are in a skewed arrangement with a Cl-Au⋯Au-Cl torsion angle of -65.29 (3)° so as to form an intra-molecular Au⋯Au inter-action [3.0563 (2) Å]. The complex mol-ecules are connected each other through inter-molecular C-H⋯π inter-act...

The title compound, [Au(C(10)H(12)NOS)(C(18)H(15)P)], features a linear geometry for the Au atom defined by the S and P donor atoms. A small deviation from the ideal geometry is noted and is ascribed to an intra-molecular Au⋯O contact [2.936 (4) Å]. Inversion dimers are formed in the crystal structure mediated by C-H⋯π inter-actions between centrosymmetrically related o-tolyl residues [C⋯Cg = 3...

Notice that the upper bound is an immediate consequence of (I<;J) :s;; 2n. To prove the lower bound we use an algebraic construction which is a modification of a construction of Babai and S6s [1]. How a family of sets can fail to have the union-free property? There are essentially two possibilities: (a) there are four distinct sets A, B, C, D with Au B =CuD. (b) there are three distinct sets A,...

Normal aging is typically characterized by abnormal resting-state functional connectivity (FC), including decreasing connectivity within networks and increasing connectivity between networks, under the assumption that the FC over the scan time was stationary. In fact, the resting-state FC has been shown in recent years to vary over time even within minutes, thus showing the great potential of i...

Ruiying Li 1,2,*, Qiang Dong 1, Chong Jin 1 and Rui Kang 1,2 1 School of Reliability and Systems Engineering, Beihang University, No. 37, Xue Yuan Road, Beijing 100191, China; [email protected] (Q.D.); [email protected] (C.J.); [email protected] (R.K.) 2 Science and Technology on Reliability and Environmental Engineering Laboratory, No. 37, Xue Yuan Road, Beijing 100191, China * Corres...

I review the ways that have been proposed to measure the quark transversity distribution in the nucleon. I then explain a proposal, developed by Xuemin Jin, Jian Tang and myself, to measure transversity through the final state interaction between two mesons (ππ, KK, or πK) produced in the current fragmentation region in deep inelastic scattering on a transversely polarized nucleon.

Au nanoparticles (NPs) have been utilized in a wide range of device applications as well as catalysts for the fabrication of nanopores and nanowires, in which the performance of the associated devices and morphology of nanopores and nanowires are strongly dependent on the size, density, and configuration of the Au NPs. In this paper, the evolution of the self-assembled Au nanostructures and NPs...

In the title compound, [Au(C(10)H(11)N(2)O(3)S)(C(18)H(33)P)], the gold(I) atom is linearly coordinated within a SP donor set. The distortion from linearity [S-Au-P = 177.54 (3)°] can be traced to an intra-molecular Au⋯O contact of 3.009 (3) Å. In the crystal, layers of mol-ecules are stabilized by a combination of C-H⋯O and C-H⋯π inter-actions.

Notes taken by Stuart White during the lectures and not proof read. Errors will abound. 1. Nuclearity: Approximation and perturbation Recall: Definition 1.1. A C∗-algebra. Definition 1.2. A cp map Theorem 1.3. Stinespring’s theorem. Every cp map is a compression of a ∗-homomorphism. Definition 1.4. φ : A → B cp has order zero if a ⊥ b =⇒ φ(a) ⊥ φ(b). 1 Theorem 1.5. (i) φ : A→ B has order zero i...