We study the problem of on-line searching for a target inside a polygon. In particular, we propose a strategy for finding a target of unknown location in a star-shaped polygon with a competitive ratio of 11.52. We also provide a lower bound of 9 for the competitive ratio of searching in a star-shaped polygon which is close to the upper bound. A similar task is the on-line recognition of a star-...

The cell membrane of the unicellular algae Distigma proteus is associated with arrays of parallel microtubules. Fragments of the membrane-microtubule complex have been isolated and partially purified. The microtubules were stable in vitro at room temperature as well as at 0 degree C, but were specifically and rapidly disassembled by Ca2+. After removal of all endogenous microtubules, the membra...

It is well known that TCP does not fully utilize the available bandwidth in fast long-distance networks. Several high speed transport protocols have been proposed in an effort to solve this scalability problem. This paper proposes S-shaped TCP (SS-TCP). The window growth function of SS-TCP is, in the steady state, S-shaped, and it can be divided into three regions. In region I, the window growt...

In this paper, direct estimate of Sobolev exponent of reenable distributions and its application to the asymptotic estimate of Sobolev exponent of M band Daubechies' scaling functions are considered.

horse shoe shaped lipoma of the upper extremity is a very rare entity. we present a case of 45 years old female who presented with painless progressive swelling over the distal forearm and tingling and numbness over the ulnar nerve territory. mri and surgical exploration showed a horse shoe shaped multilobulated lipoma encasing the distal ulna. the mass was excised in toto, and the sensory alte...

purpose: to report a case of butterfly-shaped macular dystrophy. patient and findings: a 34-year-old woman presented with metamorphopsia in both eyes from 2 years ago. visual acuity was 9/10 in right eye and 10/10 in left eye. there was no pathologic finding on slit lamp biomicroscopy and funduscopy other than mild macular retinal pigment epithelium mottling. visual fields and electroretinogram...

An orthogonal drawing of a plane graph G is a planar drawing of G, denoted by D(G), such that each vertex of G is drawn as a point on the plane, and each edge of G is drawn as a sequence of horizontal and vertical line segments with no crossings. An orthogonal polygon P is called orthogonally convex if the intersection of any horizontal or vertical line L and P is either a single line segment o...

micromixers are one of the most crucial components of lab-on-a-chip devices with the intention of mixing and dispersion of reagents like small molecules and particles. the challenge facing micromixers is typically insufficient mixing efficiency in basic designs, which results in longer microchannels. therefore, it is desirable to increase mixing efficiency, in order to decrease mixing length, w...

Several asteroids are known to be shaped like toy tops. This paper models Top-Shaped Asteroids (TSAs) as Homogeneous Symmetric Lenses (HSLs), and derives their rotational, self-gravitational, total energies functions of mass, density, angular momentum. Then we raise, test, ultimately reject the hypothesis that TSAs take shape lowest energy, subject constraint they keep same momentum, while rema...