In the title adduct, 3C(13)H(9)N·C(9)H(6)O(6) or (acr)(3)(btc), associ-ations of one btc and three acr molecules linked by O-H⋯N hydrogen bonds occur. C-H⋯O interactions also occur, resulting in a cyclic hydrogen-bonded synthon R(2) (1)(6). The acr mol-ecules and the btc mol-ecules also form slipped or offset π-π stacking inter-actions [centroid-centroid distances of 3.5212 (17) Å for btc rings...

The idea is pretty similar to the idea of extension from 1-dimension to 2-dimensions. A point in 1-dimension is represented in R as x or y. If we take two copies of R, we get the space R ⊗ R in which we can represent a 2-dimensional point i.e. we go from x → (x, y). The operation ⊗ is known as direct product. Let us now examine how we can write a two particle state using two single particle sta...

PURPOSE The cell surface receptors tumor necrosis factor-related apoptosis-inducing ligand receptor 1 (TRAIL-R1) and TRAIL-R2 transmit apoptotic signals, and agents that activate these receptors are in clinical development. We sought to determine the expression and prognostic value of TRAIL-R1 and TRAIL-R2 in early-stage breast cancer. EXPERIMENTAL DESIGN Tissue microarrays containing specime...

OBJECTIVE Beta-trace protein concentrations in cerebrospinal fluid (CSF), serum and nasal secretions are investigated with a new quantitative, immunonephelometric assay. RESULTS The mean beta-trace concentration of normal lumbar CSF (18.4 mg/l) and normal serum (0.59 mg/l), from n = 132 control patients, were 10% higher than reported earlier for smaller control groups. The reference range of ...

We study the incompressible Navier-Stokes equations in the entire three-dimensional space. We prove that if ∂3u3 ∈ L1 t L1 x and u1, u2 ∈ L2 t L2 x , then the solution is regular. Here 2 s1 + 3 r1 ≤ 1, 3 ≤ r1 ≤ ∞, 2 s2 + 3 r2 ≤ 1 and 3 ≤ r2 ≤ ∞.

A global monopole in dilatonic Einstein-Cartan gravity is presented. A linearized solution representing a global monopole interacting with a massless dilaton is found where Cartan torsion does not interact with the monopole Higgs field.Computation of the geodesic equation shows that the monopole-dilaton system generates a repulsive gravitational field.The solution is shown to break the linear a...