[PDF] Top 20 Two problems in the geometry of numbers

... C o m p u t a t i o n o f t h e c o o r d i n a t e s o f t h e r o t a t e d p o i n t i s m o s t c o n v e n i e n t l y c a r r i e d o u t b y a p p l y i n g t h e compound o f t h i s m a t r i x t o t h e c o o r ... See full document

... in two planar sections of a sphere, every curve that appears in Theorem ...complex numbers, the group on an elliptic cubic is isomorphic to the torus ( R / Z ) 2 , and the group on the smooth points of a ... See full document

... solve geometry problems. Solving geometry questions was inspired by two important trends in the current NLP ...a geometry language with a small amount of train- ing ... See full document

... Remark 4.2.4. Local computations show that the secant congruence of C generally does not contain all lines through singular points of C. To be more explicit, let x ∈ C be an ordinary singularity ; the point x is the ... See full document

... Let us compare this definition with the classical definition: Klein polyhedron of a cone C is the boundary of the convex hull of all integer points contained in C except the vertex of the cone. It is clear that these ... See full document

... perturbed two-point boundary value problems, one can observe that condition numbers of arising stiffness matrices are growing with decreasing parameter when a nonsymmetric part starts to ...condition ... See full document

... The model which they proposed was applied to the machining of martensitic stainless steels by coated carbide tools. Finally, they compared the experimentally measured and theoretically predicted values [3]. Fang compared ... See full document

... complex numbers spread in the real part and the system imaginary part, which are exactly the same determinant on the segment it into products plotted parametric obtain a system with elements of intersection triple ... See full document

... total two centered boron bonds ...Lipscomb numbers. The rejected sets are those whose one of the numbers is negative and hence has no physical ... See full document

... In this paper, we investigate the sums and alternating sums of the products of two recipro- cal Fibonacci numbers in various ways. The results are new and interesting. In particular, the techniques for ... See full document

... the geometry optimization problem is as follows: for an elastically supported bar with a rectangular cross-sectional area and fixed length we are trying to find an appropriate longitudinal shape of the bar that ... See full document

... these numbers are resulted by the eight right angled Sierpinski triangles ...these two elements should have such weights but for they are the heaviest and also radioactive elements, some of their masses ... See full document

... kinetics and products of petroleum sulfides peroxidation to sulfoxides depends on the reactivity and mechanism of molybdic compounds catalytic effect. The present work is the continuation of this research and is devoted ... See full document

... Now and rotate / counterclockwise about by 0 pi meets a second point of counterclockwise get a circular sequence of not of S necessarily distinct and a circular sequence of halving edges[r] ... See full document

... mesoderm has been demonstrated to determine the timing of neuronal differentiation and Pax6 expression in the adjacent spinal cord (Diez del Corral et al., 2002; Diez del Corral et al., 2003), providing a mechanism by ... See full document

... The planar convergence SU can be compared to the lateral flow SU in which the cell movement plane is the embryonic surface, the ES surface is the arc of DBL and the cell separation boundaries are the MF. Even though the ... See full document

... (at) fuzzy number. Therefore, it is necessary to conserve this atness into the resultant generalized fuzzy number. In this respect Chen's approach is incomplete and hence loses its signicance. In view of this, there is a ... See full document

... Government employees consist of 2 types, namely vertical civil servants, and autonomous civil servants. The number of autonomous civil servants in Boalemo District is 787 employees, consisting of 32 class IV employees, ... See full document

... of two specialized mathematics teacher trainers, two experienced middle school mathematics teachers, four experienced teachers doing a doctorate in mathematics teaching and working at state schools ... See full document

... SUCs, are earning seventy-eight thousand (78,000), two- hundred seventy thousand (270,000), five hundred eighty- three thousand (583,000) and seven hundred thousand (700,000). These figures show that each of the ... See full document