The three-dimensional axis consists of a sequence of three-dimensional elements (fixed elements, dialogue elements and coupling elements). Fixed elements should always be selected if it is unnecessary to introduce any variation to the course of the axis based on the design conditions. However, if the idea is to adjust the design of the road to match existing geometrical constraints to an even b...

By a new partial ordering relation “ ≤ ” the set of convex sublattices CS(L) of a lattice L is again a lattice. In this paper we establish some results on the pseudocomplementation of (CS(L); ≤). We show that a lattice L with 0 is dense if and only if CS(L) is dense. Then we prove that a finite distributive lattice is a Stone lattice if and only if CS(L) is Stone. We also prove that an upper co...

This paper uses geometric methods to study basic problems in the mechanics and control of locomotion. We consider in detail the case of \undulatory locomotion," in which net motion is generated by coupling internal shape changes with external nonholonomic constraints. Such locomotion problems have a natural geometric interpretation as a connection on a principal ber bundle. The properties of co...

the total version of geometric–arithmetic index of graphs is introduced based on the endvertexdegrees of edges of their total graphs. in this paper, beside of computing the total gaindex for some graphs, its some properties especially lower and upper bounds are obtained.

spotted amber ladybird, hippodamia variegata (goeze, 1777) (coleoptera: coccinellidae) is an important predator of aphids and some other insect pests. since shape and size variation may affect biological characteristics of an insect, multivariate analysis of shape variations in four geographically isolated populations of h. variegata (isfahan, shahrekord, shiraz, yasuj) was performed based on e...

the first geometric-arithmetic index was introduced in the chemical theory as the summationof 2 du dv /(du  dv ) overall edges of the graph, where du stand for the degree of the vertexu. in this paper we give the expressions for computing the first geometric-arithmetic index ofhexagonal systems and phenylenes and present new method for describing hexagonal systemby corresponding a simple graph...

Article history: Received 20 October 2011 Received in revised form 2 July 2012 Accepted 15 July 2012 Available online xxxx

As a sequel to [1], the position of the maximum in a geometrically distributed sample is investigated. Samples of length n are considered, where the maximum is required to be in the first d positions. The probability that the maximum occurs in the first d positions is sought for d dependent on n (as opposed to d fixed in [1]). Two scenarios are discussed. The first is when d = αn for 0 < α ≤ 1,...