Operator Interpolation and Systems of Linear Equations and Inequalities in Euclidean Spaces

Ukrainian Mathematical Journal - We establish new criteria of compatibility for a linear system of equations (equivalent to the Kronecker–Capelli theorem) or inequalities (equivalent to the...     

Quaternion Attitude Determination by Vector Measurement

International Applied Mechanics - Quaternion attitude determination algorithms based on vector measurements are proposed. The projections of the normalized vectors in the reference and the...     

Small-Angle Neutron Scattering at the Pulsed Reactor IBR-2: Current Status and Prospects

Crystallography Reports - Neutron diffraction studies on the small-angle neutron spectrometer YuMO (Joint Institute for Nuclear Research, Dubna), based on the IBR-2 pulsed reactor, have been...     

The Method for Autonomous Determination of Longitude and Latitude of a Moving Object

International Applied Mechanics - The method for determination of the longitude and latitude of a moving object is presented. This method is based on measuring the vehicle’s angular rate...     

Four-Step Spin Crossover in a New Cyano-Bridged Iron-Silver Coordination Polymer

Spin-crossover complexes with multistep transitions attract much attention due to their potential applications as multi-switches and for data storage. A four-step spin crossover is observed in the new iron(II)-based cyanometallic guest-free framework compound Fe(2-ethoxypyrazine)₂{Ag(CN)₂}₂ during the transition from the low-spin to the high-spin state. A reverse process occurs in three steps. Crystallographic studies reveal an associated stepwise evolution of the crystal structures. Multiple transitions in the reported complex originate from distinct Fe^II sites which exist due to the packing of the ligand with a bulky substituent.     

Polaron States of 3,4-Ethylenedioxythiophene Oligomers

Theoretical and Experimental Chemistry - The electronic and spatial structure of 3,4-ethylenedioxythiophene oligomer containing 12 units (E12) in 0, +1, +2, +3, and +4 charge states has been...     

Contact Interaction of Two Piezoelectric Half-Spaces,One of Which Contains a Near-Surface Notch of Elliptical Cross-Section*

International Applied Mechanics - Based on a rigorous mathematical statement that takes into account the coupling of the mechanical and electric fields, the problem of the compression of two...     

Monogenic Functions with Values in Commutative Complex Algebras of the Second Rank with Unit and a Generalized Biharmonic Equation with Simple Nonzero Characteristics

Ukrainian Mathematical Journal - Among all two-dimensional algebras of the second rank with unit e over the field of complex numbers ?, we find a semisimple algebra ??0 := {c1e...