Abstract We report the application of Pd(II)-catalyzed, directing-group-aided C–H arylation/alkylation tactics to functionalize pyrene core, especially, relatively inaccessible C2 and K-region C10 positions core augmentation library derivatives with C1,C2- C1,C10-disubstituted motifs. The Pd(II)-catalyzed β-C–H C2-position pyrene-1-carboxamide possessing an 8-aminoquinoline directing group yiel...

It is shown that if C1 and C2 are maximal abelian self-adjoint subalgebras (masas) of C*-algebras A1 and A2, respectively, then the completion C1 ⊗ C2 of the algebraic tensor product C1 ⊙ C2 of C1 and C2 in any C*-tensor product A1 ⊗β A2 is maximal abelian provided that C1 has the extension property of Kadison and Singer and C2 contains an approximate identity for A2. Examples are given to show...

We consider the design of an optimal mechanism for a seller selling two items to a single buyer so that the expected revenue to the seller is maximized. The buyer’s valuation of the two items is assumed to be the uniform distribution over an arbitrary rectangle [c1, c1 + b1] × [c2, c2 + b2] in the positive quadrant. The solution to the case when (c1, c2) = (0, 0) was already known. We provide a...

EMA was used to study the coordination of the articulatory gestures for C1 and C2 in onset clusters, firstly as a function of the segmental make-up of the clusters, and secondly as a function of stress and prosodic boundary conditions. The segmental results, which compared German and French, indicated a much lower degree of overlap of C1 and C2 for C2=/n/ compared to C2=/l/ (with C1=/p, b, k, g...

This paper studies the geometric decay property of the joint queue-length distribution {p(n1, n2)} of a two-node Markovian queueing system in the steady state. For arbitrarily given positive integers c1, c2, d1 and d2, an upper bound η(c1, c2) of the decay rate is derived in the sense exp © lim supn→∞ n −1 log p(c1n+ d1, c2n+ d2) a ≤ η(c1, c2) < 1. It is shown that the upper bound coincides wit...

The temperature dependence of the upper (H(c2)) and lower (H(c1)) critical fields has been deduced from Hall probe magnetization measurements of high quality MgB2 single crystals along the two main crystallographic directions. We show that Gamma(H(c2))=H(c2 axially ab)/H(c2 axially c) and Gamma(H(c1))=H(c1 axially c)/H(c1 axially ab) differ significantly at low temperature (being approximately ...

In this paper, we establish a fundamental connection between binomial parameters and means of bounded random variables. Such connection finds applications in statistical inference of means of bounded variables. 1 A Fundamental Identity Statistical inference of means of bounded random variables is frequently encountered in many areas of sciences and engineering. Since there exist rich techniques...

Although C1-C2 pedicle screw fixation provides an excellent fusion rate and rigid fixation, this technique has a potential risk. It is essential to develop an accurate screwing method to avoid this neurovascular injury. To develop and validate the accuracy of a novel navigational template for C1-C2 pedicle screw placement in cadaveric specimens, computed tomography scans with 1-mm-wide cuts wer...

Traumatic atlantoaxial instability usually results from a motor vehicle accident, falls and motorcycle accidents. Atlantoaxial can lead to spinal cord compression neck pain, but, spasticity radicular symptoms as well. The purpose of surgery is remove the stabilize joint permanently. To date, several surgical techniques have been described remedy C1-C2 instability. In this study, clinical radiol...