In this chapter, we are interested in the underlying structure of aesthetically pleasing plane figures. By a plane figure, we mean any subset of the plane. To understand the underlying structure, we examine the symmetries of the figure. An isometry of the plane is a distance-preserving transformation of the plane. This means that for any pair of points P and Q, the distance between the images u...

We give a geometric approach to the relation between the irreducible components of the characteristic varieties of local systems on a plane curve arrangement complement and the associated pencils of plane curves discovered recently by M. Falk and S. Yuzvinsky [10] in the case of line arrangements. In this case, this geometric point of view was already hinted to by A. Libgober and S. Yuzvinsky, ...

The new types of elastic devices – staple-shape plate spring and leaf - have been developed at the Kyiv National University Construction Architecture. is an where ends are deflected from its middle part in same direction made form consoles equipped with hinge attachments. as a parallel to line load action designed variable length section. In each section, axis, relative which moment section ine...

This paper deals with transmission theory of plane electromagnetic waves in free space and in cylindrical regions of arbitrary cross section. Transmission properties of such waves can be expressed very simply in the same terms as the properties of electric waves guided by a pair of parallel wires. The earlier parts of the paper are concerned with general theorems and the latter parts with their...

We work over an algebraically closed field of characteristic zero. In this paper we are dealing with smooth surfaces S in P which contain a plane curve, P . The first part contains some generalities about the linear system |H − P |, in particular we prove that its base locus has dimension zero and describe it. In the second section we look at surfaces lying on a hypersurface of degree s with a ...

The paper presents a new inverse synthetic aperture radar (ISAR) algorithm intended for radar cross-section (RCS) imaging and measurement from scattered fields. The method, based on a spherical-wave near-field illumination of the target, overcomes the requirement for an expensive compact range facility to produce a plane wave illumination. The formulation and the implementation of the algorithm...

In this paper, we derive an analytic representation of the eigenvectors and coefficients for in-plane rotated images. This, on the one hand, allows an efficient PCA-basis calculation in the learning stage and on the other hand a direct computation of the rotation angle in the recognition stage. In the experimental section, we demonstrate that the new method is feasible and the recognition and o...

A significant physical design challenge in both high-performance 3D integrated circuits and lowpower 3D systems-on-chip is to guarantee system-wide power and signal integrity. This chapter provides an overview of these challenges with emphasis on through-silicon via (TSV)-based 3D ICs. Different TSV types and their implications to power/signal integrity are first discussed. In the next section,...

The structure of human disparity representation is examined through (i) adaptation experiments and (ii) model simulations of the data. Section 3 presents results of adaptation experiments designed to illuminate the structure of human disparity representation. Section 4 presents model simulations of three different disparity representation schemes. In the experiments, participants adapted to a 0...