Many interesting geometric structures on manifolds can be interpreted as structures locally modelled on homogeneous spaces. Given a homogeneous space (X,G) and a manifold M , there is a deformation space of structures on M locally modelled on the geometry of X invariant under G. Such a geometric structure on a manifold M determines a representation (unique up to inner automorphism) of the funda...

Abstract Malaysia is a nation that has undergone massive development based on its abundance of fuel supply. The imbalance ratio between gross domestic products and energy demand clearly indicates the need to promote energy-efficiency strategies in country. This study investigates relationship building shape consumption by considering control excessive solar radiation tropical climate. In first ...

Many realistic planning problems (such as those in manufacturing) place a high premium on plan efficiency. However, classical planning theory does not offer much insight into ways of obtaining efficient plans. The objective of this paper is to present a model of planning for plan efficiency that has been drawn from a case study in the machining domain. Some of the important features of this dom...

I plan to present the Jackson-Mauldin solution to the Steinhaus problem. In the 1950s Steinhaus asked if there exists a subset S of the plane which meets every isometric copy of the integer lattice, Z×Z, in exactly one point. I also plan to cover other results which involve the set theoretical properties of the plane. Davies has shown that the plane can be partitioned into countably many pieces...

This paper combines terrain with the feature of road engineering to set up the constraint Delaunay triangle net in division by terrain characteristic line, and then forming range constraint Delaunay triangle net. With the data of road midcourt line, the road slope toe line and the point of intersection of road slope toe line could be calculated. Terrain characteristic line can be used to constr...

In this short survey I mainly discuss some recent problems which occupied me and my colleagues and collaborators for the last few years . I will not give proofs but will either give references to the original papers or to the other survey papers . I hope I will be able to convince the reader that the subject is "alive and well" with many interesting, challenging and not hopeless problems . Deve...

For over 300 years, the humble triangle has served as the paradigmatic example of the problem of abstraction. How can we have the idea of a general triangle even though every experience with triangles is with specific ones? Classical cognitive science seemed to provide an answer in symbolic representation. With its easily enumerated necessary and sufficient conditions, the triangle would appear...