We give various construc- tion rules for different shapes of p(x, y)'s Newton polygon. Our method has several applications. Most interestingly, we reduce the case of solv- ing univariate polynomials f (x) modulo some composite number N of unknown factorization to the case of solving ...
We first voxelize the volume of a box defined to contain the extreme points of the protein’s atomic positions. Then, we use the convex hull concept to obtain the smallest convex polyhedron containing all of the protein’s atoms. In 3-dimensional space, a convex hull surface is formed by ...
Self-shaping systems offer a promising approach for making complex 3D geometries from the material-driven transformation of 2D sheets. However, current research development of such systems is focused on small-scale applications. This study proposes a self-shaping composite for generation of larger-scale...
y) over the integers. Our approach allows to maximize the bound on the solutions ofp(x,y) in a purely combinatorial way. We give various construction rules for different shapes ofp(x,y)’s Newton polygon. Our method has several applications. Most interestingly...
The AstroMesh has many advantages over the existing mesh reflectors in terms of having significantly better stiffness and being more precise, thermally stable, and occupying less volume. However, the mesh precision determines the antenna performance. Figure 1. An illustration of the AstroMesh concept....