In the title mol-ecule, C(14)H(11)N(3)O, the benzene ring is twisted by 14.0 (2)° from the plane through the fused ring system. In the crystal, π-π inter-actions [centroid-centroid distances = 3.609 (1), 3.639 (1) and 3.735 (1) Å] form stacks of mol-ecules propagating along the b axis. The crystal packing is further stabilized by weak inter-molecular C-H⋯O and C-H⋯N hydrogen bonds.

In this article we construct a new family of simply connected symplectic 4-manifolds with b+2 = 1 and c 2 1 = 2 which are not diffeomorphic to rational surfaces by using rational blow-down technique. As a corollary, we conclude that a rational surface CP ♯7CP 2 admits an exotic smooth structure.

In CT-based security screening, a challenging problem is to correctly identify and label objects in a scene from X-ray projection data. The presence of artifacts in the reconstructed image confounds traditional segmentation and labeling methods. In this work, we focus on integrating machine learning, physical modeling and Bayesian inference in a framework for direct material identifi cation and...

t(x · 1 + 0 · s) = t · x = 0. Therefore f ′ is injective. Now we need to show that im f ′ = ker g′. We have g′(f ′(x/s)) = g(f(x)/s) = (g ◦ f)(x)/s = 0, so im f ′ ⊂ ker g′. Conversely, if g′(y/s) = 0, then g(y)/s = 0, so there exists t ∈ S so that t · g(y) = g(t · y) = 0. Therefore t · y ∈ ker g, so t · y ∈ im f . Let x ∈ X so that f(x) = t · y. Then f ′(x/(st)) = f(x)/(st) = (t · y)/(st) = y/s...

The title compound, C35H53NO5·CH3OH {systematic name: (3S,6E,8S,9R,10E,12S,13S,14E,16S,17R)-3-benzyl-9,13-dihy-droxy-6,8,10,12,14,16-hexa-methyl-17-[(2S,4S)-4-methyl-hexan-2-yl]-1-oxa-4-aza-cyclo-hepta-deca-6,10,14-triene-2,5-dione methanol-d 4 monosolvate}, was extracted from conidia of the fungus Metarhizium acridum. Crystals were obtained as a methanol-d 4 solvate. The tail part of the 4-met...