In a spatial model with Euclidean preferences, we establish that the geometric median satisfies Maskin monotonicity, anonymity, and neutrality. For three agents, it is the unique such rule.

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 forward position kinematics (FPK) of a parallel manipulator with new architecture supposed to be used as a moving mechanism in a flight simulator project is discussed in this paper. The closed form solution for the FPK problem of the manipulator is first determined. It has, then, been shown that there are at most 24 solutions for FPK problem. This result has been verified by using other tec...

Information geometry has been suggested to provide a powerful tool for analyzing multineuronal spike trains. Among several advantages of this approach, a significant property is the close link between information-geometric measures and neural network architectures. Previous modeling studies established that the first- and second-order information-geometric measures corresponded to the number of...