The non-uniqueness of geodesics joining two given points in universal Teichm uller space is proved in the previous paper 7]. The purpose of the present paper is to discuss the non-uniqueness of geodesics in any innnite-dimensional Teichm uller space. It is proved that if 1 and 2 are two extremal Beltrami diierentials belonging to a point ] of a Teichm uller space and 1 ? 2 does not belong to N-...

In this paper, we apply the fuzzy linear regression (FLR) with fuzzy intervals analysis into a neural network classi®cation model. The FLR works as a data handler and separates the data sample into two groups. By training two independent neural works with these two groups, we can better describe the distribution space of the corresponding data sample with two different functions, rather than us...

The objectives of this design and analysis an all-terrain vehicle (ATV) fun to drive, versatile, safe, durable, high-performance off-road vehicle. We have ensure that the spastics limits set rules. This must be capable negotiating most extreme terrain with confidence ease. met these by dividing into its major component subsystems. ATV on basisto apply principles engineering science expose their...

This is a book review of All Things Beautiful: An Aesthetic Christology