The mechanical behavior of cold rolled sheets is significantly related to residual stresses that arise from bending and unbending processes. Measurement of residual stresses is mostly limited to surface measurement techniques. Experimental determination of stress variation through thickness is difficult and time-consuming. This paper presents a closed form solution for residual stresses, in whi...

A set of natural numbers tiles the plane if a square-tiling of the plane exists using exactly one square of sidelength n for every n in the set. In [9] it is shown that N, the set of all natural numbers, tiles the plane. We answer here a number of questions from that paper. We show that there is a simple tiling of the plane (no nontrivial subset of squares forms a rectangle). We show that neith...

The radar cross-section patterns of lossy dihedral corner reflectors are calculated using a uniform geometrical theory of diffraction for impedance surfaces. All terms of up to third order reflections and diffractions are considered for patterns in the principal plane. The surface waves are included whenever they exist for reactive surface impedances. The dihedral corner reflectors examined hav...

Layered dielectric media is encountered in many electromagnetic problems such as analysis of multi-layered substrate/superstrate microwave circuits and printed antennas as well as modeling the terrain with a dielectric stratified medium. In this section a procedure for evaluating the dyadic Green’s function for a multi-layered (with planar interfaces) medium with arbitrary positions of the sour...

Although we have various methods of analgesia, the prevalence severe pain after caesarean section remains high. Therefore, it is necessary to look for new reliable technologies optimal postoperative anesthesia. The objective was compare efficiency wound infiltration with a local anesthetic and transverse abdominis plane block (TAP-block) as component multimodal analgesia in period cesarean sect...

Absolute and Relative Stability. A control system is called absolutely stable if the controlled transfer function Hd(s) from the reference signal yd(s) to the output signal y(s) has all of its poles in the open left half plane. One technique for determining absolute stability of a control system is the Routh-Hurwitz stability analysis technique. This very useful technique is presented in Sectio...

For the derived category of Cayley plane, which is cominuscule Grassmannian Dynkin type $\mathrm{E}_6$, a full Lefschetz exceptional collection was constructed by Faenzi and Manivel. A general hyperplane section plane coadjoint $\mathrm{F}_4$. We show that restriction Faenzi-Manivel to such gives collection, providing first example on homogeneous variety $\mathrm{F}$. also describe residual cat...

We consider sharp focusing of a linearly polarized light beam. Using the Richards-Wolf formalism, we show that before and after focal plane there are cross-section regions in which polarization is circular (elliptical). When passing through plane, direction rotation vector reversed. If focus left-hand at definite region beam cross-section, then exactly becomes linear this region, becoming right...