Frobenius splittings were introduced by V. B. Mehta and A. Ramanathan in [6] and refined further by S. Ramanan and Ramanathan in [9]. Frobenius splittings have proven to be a amazingly effective when they apply. Proofs involving Frobenius splittings tend to be very efficient. Other methods usually require a much more detailed knowledge of the object under study. For instance, while showing that...

1. What do we mean by "sanitation"? The first challenge for countries seeking to solve the problem of access to sanitation is to define what “sanitation" really means. The second challenge is to decide what aspects are the most important. In other words, what aspect of the problem is going to be dealt with as a priority. This problem is not a simple one and many professionals confuse the two st...

This paper reviews economic studies on rural-urban migration issues in China. The review focuses on three issues: firstly, the explanations for the rural to urban migration, secondly, the interaction between migration and labor market evolution, with special attention to labor market segregation, labor market flexibility and wage differentials, and lastly suggestions for further research topics.

With the evolution of technology, the maintenance of sophisticated systems is of concern for system engineers and system designers. The maintenance cost of the system depends in general on the replacement and repair policies. The system replacement may be in a strictly periodic fashion or on a random basis depending upon the maintenance policy. At failure, the repair of the system may be perfor...

Inguinal hernia repair in infants is a routine surgical procedure. However, numerous issues, including timing of the repair, the need to explore the contralateral groin, use of laparoscopy, and anesthetic approach, remain unsettled. Given the lack of compelling data, consideration should be given to large, prospective, randomized controlled trials to determine best practices for the management ...