نتایج جستجو برای: geometric arithmetic index

تعداد نتایج: 511986  

Journal: :European Journal of Pure and Applied Mathematics 2023

A topological index is a function having set of graphs as its domain and real numbers range. Here we concentrated on indices involving the number vertices, edges maximum minimum vertex degree. The aim this paper to compute lower upper bounds second Zagreb index, third Hyper Harmonic Redefined first First reformulated Forgotten square F-index, Sum-connectivity Randic Reciprocal Gourava Sombar Ni...

2008
Chee K. Yap Vikram Sharma

Algorithms in computational geometry are usually designed under the Real RAM model. In implementing these algorithms, however, fixed-precision arithmetic is used in place of exact arithmetic. This substitution introduces numerical errors in the computations that may lead to nonrobust behaviour in the implementation, such as infinite loops or segmentation faults. There are various approaches in ...

Journal: :ACM SIGMOD Record 2001

‎We obtain the asymptotic expansion of the sequence with general term $frac{A_n}{G_n}$‎, ‎where $A_n$ and $G_n$ are the arithmetic and geometric means of the numbers $d(1),d(2),dots,d(n)$‎, ‎with $d(n)$ denoting the number of positive divisors of $n$‎. ‎Also‎, ‎we obtain some explicit bounds concerning $G_n$ and $frac{A_n}{G_n}$.

Journal: :IEEE Trans. Computers 1999
Vassil S. Dimitrov Graham A. Jullien William C. Miller

In this paper we analyze some of the main properties of a double base number system, using bases 2 and 3; in particular we emphasize the sparseness of the representation. A simple geometric interpretation allows an efficient implementation of the basic arithmetic operations and we introduce an index calculus for logarithmic-like arithmetic with considerable hardware reductions in look-up table ...

2016
Salles V. G. Magalhães Marcus Vinícius Alvim Andrade W. Randolph Franklin Wenli Li Mauricio G. Gruppi

This paper presents 3D-EPUG-OVERLAY, an exact and parallel algorithm for computing the intersection of 3D triangulated meshes, a problem with applications in several fields such as GIS and CAD. 3D-EPUG-OVERLAY presents several innovations: it employs exact arithmetic and, thus, the computations are completely exact, which avoids topological impossibilities that are often created by floating poi...

1998
ATSUSHI MORIWAKI

As we indicated in our paper [9], the standard arithmetic Chow groups introduced by Gillet-Soulé [3] are rather restricted to consider arithmetic analogues of geometric problems. In this note, we would like to propose a suitable extension of the arithmetic Chow group of codimension one, in which the Hodge index theorem still holds as in papers [1], [7] and [14]. Let X → Spec(Z) be a regular ari...

2008
ATSUSHI MORIWAKI

As we indicated in our paper [10], the standard arithmetic Chow groups introduced by Gillet-Soulé [4] are rather restricted to consider arithmetic analogues of geometric problems. In this note, we would like to propose a suitable extension of the arithmetic Chow group of codimension one, in which the Hodge index theorem still holds as in papers [2], [8] and [15]. Let X → Spec(Z) be a regular ar...

1989
Victor J. Milenkovic

We show for the rst time how to reduce the cost of performing speciic geometric constructions by using rounded arithmetic instead of exact arithmetic. Exploiting a property of oating point arithmetic called monotonicity, a new technique, double precision geometry, can replace exact arithmetic with rounded arithmetic in any eecient algorithm for computing the set of intersections of a set of lin...

2003
MAX LIEBLICH

We construct and describe moduli spaces of Azumaya algebras on a smooth projective surface. These spaces are the algebro-geometric version of the spaces of principal PGL n -bundles and they also have strong connections to arithmetic. A geometric approach to the problem leads one to study moduli spaces of twisted sheaves. We show that these spaces are very similar to the moduli spaces of semi-st...

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