S U M M A R Y We determine centroid-moment tensor (CMT) solutions by minimizing waveform differences between observed and simulated seismograms based on an adjoint method. Synthetic seismograms and Fréchet derivatives are calculated based on a spectral-element method. The non-linear adjoint CMT inversion algorithm requires three simulations for each iteration: one ‘forward’ simulation to obtain...

In the title compound, C(14)H(7)FN(2)OS, prepared by the reaction of 2-bromo-4-fluoro-benzoyl choride with 2-mercaptobenzimidazole, the four-membered fused-ring system is essentially planar [maximum deviation from the mean plane = 0.035 (2) Å]. The crystal packing is stabilized by weak inter-molecular π-π [minimum ring centroid-centroid separation = 3.509 (7) Å], weak C-F⋯π [F⋯centroid = 3.4464...

We introduce a new variant of quantitative Helly-type theorems: the minimal homothetic distance intersection family convex sets to subfamily fixed size. As an application, we establish following result for diameter. If $K$ is finitely many bodies in $\mathbb{R}^d$, then one can select $2d$ these whose diameter at most $(2d)^3{diam}(K)$. The best previously known estimate, due Brazitikos [Bull. ...

In the title mol-ecule, C(11)H(11)ClN(2)O, the pyrido[1,2-a]pyrimidine ring system is planar (maximum deviation = 0.0148 Å) and the methyl C and carbonyl O atoms are nearly coplanar to it. The chloro-ethyl side chain is in a synclinal conformation, nearly orthogonal to the pyrimidine ring, with a dihedral angle between the chloro-ethyl side chain and the pyrimidine ring of 88.5 (1)°. Weak inter...

Supplementary Figure 1. Alternative analysis of cluster centroid juxtaposition with MEGA2 software. A: UPGMA tree based on Euclidean distance between cluster centroids; B: Neighbor-joining tree based on inter-centroid distance matrix; C: UPGMA tree based on average Euclidean distance between cluster elements; D: Neighbor-joining tree based on average Euclidean distance between cluster elements....

In this paper we present an overview of Feature Extraction techniques for off-line recognition of isolated Gurumukhi characters recognition. Selection of Feature Extraction method is probably the single most important factor in achieving high performance in pattern recognition. Our paper presents Zone based approach which is the combination of image centroid zone and zone centroid zone of numer...

IN THE TITLE COUMARIN COMPOUND (SYSTEMATIC NAME: 6-butyryl-5-hy-droxy-8,8-dimethyl-4-phenyl-2H,8H-benzo[1,2-b;3,4-b']dipyran-2-one), C(24)H(22)O(5), also known as mammea A/AC cyclo D, the chromene and pyran rings are almost coplanar with a maximum deviation from the mean plane of 0.295 (2) Å. The attached phenyl group is inclined at 53.49 (8)° with respect to the chromene ring. The mol-ecular s...

In the title compound, [Ni(C(5)H(6)O(4))(2)(C(10)H(10)N(3))(2)]·6H(2)O, divalent nickel ions situated on the crystallographic twofold axis are octa-hedrally coordinated by four O atoms from two dimethyl-malonate ligands in a 1,3-chelating mode and two N atoms from two protonated monodentate 4,4'-dipyridylamine mol-ecules. The mol-ecules link into chains via N-H⋯O hydrogen bonding mediated by pr...

Although two-dimensional echocardiography is widely used in both clinical and experimental evaluations of regional cardiac wall motion, there is no established clinical method for quantitative analysis of the wall motion, not even for the normal radial motion observed in short-axis images. Measurement of radial wall motion requires determination of a centroid from which the radii emanate. Depen...