The title compound, C(14)H(11)BrN(4)O(4), contains 3-bromo-phenyl and 2,4-dinitro-phenyl groups on opposite sides of a hydrazone unit and crystallizes with two mol-ecules in the asymmetric unit. The dihedral angles between the two ring systems in each mol-ecule are 2.0 (1) and 2.5 (4)°. Weak C-H⋯O hydrogen bonds and weak π-π stacking inter-actions [centroid-centroid distance = 3.7269 (14) Å] he...

David Hilbert discovered in 1895 an important metric that is canonically associated to an arbitrary convex domain Ω in the Euclidean (or projective) space. This metric is known to be Finslerian, and the usual proof of this fact assumes a certain degree of smoothness of the boundary of Ω, and refers to a theorem by Busemann and Mayer that produces the norm of a tangent vector from the distance f...

Introduction. The article describes the optimization of superconducting antenna design and balancing method magnetometer. This magnetometer is designed to study magnetic properties materials, as well non-invasive distribution particles in organs small laboratory animals, when toxic or drugs are introduced into animal's body. a second-order axial gradiometer part flux transformer SQUID sensor. F...

We consider higher-order Camassa–Holm equations describing exponential curves of the manifold of smooth orientation preserving diffeomorphisms of the unit circle in the plane. We establish the existence of a strongly continuous semigroup of global weak solutions. We also present some invariant spaces under the action of that semigroup. Moreover, we prove a “weak equals strong” uniqueness result.

The asymmetric unit of the title chalcone derivative, C(19)H(20)ClNO, contains two independent mol-ecules, which differ in the conformations of the ethyl groups in the diethyl-amino substituents. In the crystal, weak inter-molecular C-H⋯O hydrogen bonds link mol-ecules into ribbons propogating in [010]. The crystal packing also exhibits weak C-H⋯π inter-actions.

This paper proposes a new instrumental variables estimator for a dynamic panel model with …xed e¤ects with good bias and mean squared error properties even when identi…cation of the model becomes weak near the unit circle. We adopt a weak instrument asymptotic approximation to study the behavior of various estimators near the unit circle. We show that an estimator based on long di¤erencing the ...

This paper examines the weak-form market efficiency of Asian equity markets. Daily returns for ten emerging (China, India, Indonesia, Korea, Malaysia, Pakistan, the Philippines, Sri Lanka, Taiwan and Thailand) and five developed markets (Australia, Hong Kong, Japan, New Zealand and Singapore) are examined for random walks using serial correlation coefficient and runs tests, Augmented Dickey-Ful...

If a hyperoperation is weak associative then every greater hyperoperation, defined on the same set, is also weak associative. Using this property, the set of all Hv-groups with a scalar unit, defined on a set with three elements is determined.