Given a set P = {P0, . . . , Pk−1} of k convex polygons having n vertices in total in the plane, we consider the problem of finding k translations τ0, . . . , τk−1 of P0, . . . , Pk−1 such that the translated copies τiPi are pairwise disjoint and the area or the perimeter of the convex hull of ⋃k−1 i=0 τiPi is minimized. When k = 2, the problem can be solved in linear time but no previous work ...

Wheat (Triticum aestivum L.) is known to be the world-leading cereal grain and the most important food in the world of agriculture.  Wheat offers a great wealth of material for genetic studies due to its wide ecological distribution and host of variation for various morphological and physiological characters.  To evaluate the genetic control of physical traits of grain in two crosses of winter ...

Introduction Nasal obstruction is one of the main rhinologic complaints, and two diseases must be investigated as differential diagnosis: rhinosinusal polyposis and inverted papilloma. Using traditional methods, the differential diagnosis between these diseases may be difficult. The morphometric study may be a useful tool for differential diagnosis and to define prognosis. Objective Calculate t...

Air traffic is growing at a steady rate of to 7% per year in most regions of the world, implying a doubling every 10-25 years. This requires major advances in aircraft noise reduction at airports, just not to increase the noise exposure due to the increased number of aircraft movements. In fact it can be expected, as a consequence of increased opposition to noise by near airport residents, that...

In this article, we focus on generating the Pythogoren triangles using Woodall prime numbers by equating ratio Area/Perimeter to different woodall numbers. Of these, a few interesting patterns are displayed. Key Words: Pythagorean Triangle, number.

One of the common concrete channels in irrigation networks is the semielliptical prefabricated channels. Manning formula is usually used to design these channels. The cross-sectional area and the wetted perimeter are required to be calculated in Manning formula. There are no analytical solutions to directly compute these parameters. Thus, numerical integration methods are inevitably used. In th...