Adaptive composite map projections transform projections as the user changes the scale of the web map. The equal-area version of the original adaptive map projection composite uses the Lambert azimuthal equal-area projection for regional maps, and three equal-area world projections, namely the Hammer, the Eckert-Greifendorff, and the quartic authalic projections. These three projections show po...

The Segre-Gimigliano-Harbourne-Hirschowitz Conjecture can be naturally formulated for Hirzebruch surfaces Fn. We show that this Conjecture holds for imposed base points of equal multiplicity bounded by 8. 1. Linear systems on Hirzebruch surfaces Our goal is to prove Conjecture 4 for linear systems on Hirzebruch surfaces with imposed base points of equal multiplicity bounded by 8. This Conjectur...

In this paper, using the best proximity theorems for an extensionof Brosowski's theorem. We obtain other results on farthest points. Finally, wedene the concept of e- farthest points. We shall prove interesting relationshipbetween the -best approximation and the e-farthest points in normed linearspaces (X; ||.||). If z in W is a e-farthest point from an x in X, then z is also a-best approximati...

in order to capability investigation on landsat-7 satellite etm+ data in separability forest type and mapping in the zagros region, a small window digital data dating july 2001 from ghalajeh forests in the kermanshah province were analyzed. ground data were provided the cluster sampling method and with 0.36 ha. no radiometric error was found then the quality investigations. orthorectification w...

Then, two points p, q of an orthogonal polygon P are s-visible from one another if there exists a stair ase path from p to q that lies in P (Figure 1(a) shows two su h points p and q). The set of points that are s-visible from a point p form the s-visibility polygon of p. The s-kernel of P is the (possibly empty) set of points of P whose s-visibility polygon is equal to P , i.e., the set of poi...

S.-J. Kahng,1 Y. H. Ha,2 J.-Y. Park,1 S. Kim,2 D. W. Moon,3 and Y. Kuk1,* 1Center for Science in Nanometer Scale and Department of Physics, Seoul National University, Seoul, 151-742, Korea 2Department of Chemistry, Korea Advanced Institute of Science and Technology, Taejon, 305-701, Korea 3Surface Analysis Group, Korea Research Institute of Standards and Science, Taejon, 305-606, Korea (Receive...

A central question in invariant theory is that of determining the relations among invariants. Geometric invariant theory quotients come with a natural ample line bundle, and hence often a natural projective embedding. This question translates to determining the equations of the moduli space under this embedding. This article deals with one of the most classical quotients, the space of ordered p...