The use of the geometry Lobachevsky momentum space in relativistic kinematics particle collisions is demonstrated by example problem a special reference system. That system complements geometric image process elastic scattering two particles unequal masses. speed relative to center mass and angle it are determined. conditions for existence such analyzed. It shown that case with equal masses, po...

We prove the intersection conjecture for designs: For any complete graph Kr there is a finite set of positive integers M(r) such that for every n > n0(r), if Kn has a Kr-decomposition (namely a 2-(n, r, 1) design exists) then there are two Kr-decompositions of Kn having exactly q copies of Kr in common for every q belonging to the set {0, 1, . . . , ( n 2 ) / ( r 2 ) }\{ ( n 2 ) / ( r 2 ) −m | ...

Abstract It is well known that the light-ray trajectories follow a curved path in gravitational field. This has been confirmed observationally where light rays coming from distant astronomical objects are seen to get bent Sun’s We explore here bending of electric field lines due gravity. determine, theoretical perspective, not only exact shapes rays, emitted isotropically by source supported fi...

Antimicrobial peptides are among the most ancient effectors of host defense. Intersecting lines of research demonstrate that life forms as diverse as plants, insects, and vertebrates employ antimicrobial peptides to kill or neutralize a wide variety of microbial species. Defensins, of which there are three structural sub-families, constitute a major category of host defense peptides in vertebra...

Around the turn of the last century, many open-minded astronomers believed they had seen what they called canali (Italian for canals or channels) on Mars. The claims were as controversial as exciting. Planets appeared as tiny spheres in the telescopes of that time, leaving much to interpretation. Photographic technology had not yet advanced to allow for clear images of the shimmering little dis...

In this paper we begin the classification completed in [12] of all partial linear spaces n , graphs F, and groups G which satisfy one of the following: I. II = (0>, ££) is a connected partial linear space of order 2 in which every pair of intersecting lines lies in a subspace isomorphic to the dual of an affine plane of order 2; II. F is a connected graph such that, for each vertex x of F, the ...

We present a method for generating line drawings of complex geometries in the style of crosshatched illustrations. Hatching lines are generated by intersecting the geometry with a set of planes. Half-toning on the basis of the generated curves is used to represent a given intensity distribution. Computing a geometric skeleton allows us to determine automatically the orientation of the intersect...

We give a linear time algorithm which, given a simply connected figure of the plane divided into cells, whose boundary is crossed by some colored inputs and outputs, produces non-intersecting directed flow lines which match inputs and outputs according to the colors, in such a way that each edge of any cell is crossed by at most one line. The main tool is the notion of height function, previous...

In this paper we develop finite difference schemes for elliptic problems with piecewise continuous coefficients that have (possibly huge) jumps across fixed internal interfaces. contrast such involving one smooth non-intersecting interface, been extensively studied, there are very few papers addressing interface intersecting interfaces of coefficient jumps. It is well known if the values permea...