Half-Space

In mathematics, half space is defined as the part of the space that was seperated by a hyperplane. For a simple example, in the two-dimensional Euclidean space, x-y space, the half space is the portion on either side of a straight line, say, 2x+y=3. The concept of closed half space has been used to garrantee the existence of the solution to some optimization problems. It also finds its application in economics to show the existence of general equilibrium and to construct the equilibrium price vector in a competivie Walrus economy.

In China, however, a word with similar meaning has been used to emphasize the importance of WOMEN in our mundane world, that is, BANBIANTIAN. It is used to say that "women is the half space." And we have to, and actually are proud to, admit this fact that without women's being there, the world is not the one that we could ever imagine.

First, I'd like to take this special day to show my respect to all those women who are and will be mothers. They are the most great people in the world. I deeply respect their selfishless love for their children, their helpful assitance to their husband to make family a wonderful place for the young and the old, their wise and kind cultivation of their children into knowledgable, responsible and integral citizens.

Also, I'd like to show my deep respect for those women who are working day and night to make their work an art, to bring the fruitful meaning to our lives, to expand the world that we have known and contribute to the improvement of the society towards equality, justice, love and boundfulness. I'd like to show my deep respect for those women who are doing their own best to achieve the dreams of life and bring us inexhaustible spiritual encouragement all the time, for those women who are dovoting their life into philanthropy works and help to save those who are in trouble and make a difference for the individual life. Specially, I'd like wish all the women teachers and nurses a happy womens day, without whose being, the young will not be nurtured and the sick will not be taken care of.

I deeply respect for those women who are devoting thier lives into scientific research, where it is rather a lonely journey for them. Yet, they have lead us to a better position in understanding the facts behind our daily or scientific observations. The tremendous amount of time that they spend on and the amount of feeling that they have diverted from familty to scientific research deserves special notice of our society.

In the world of econometric research, I deeply respect all those women econometricians who are making the researches more fruitiful and interesting. I'd like to show my special respect for those women econometricians I know, Xiaohong Chen, Yoosoon Chang, Serena Ng, and Gloria Gozalaz-Rivera, and also for others that I did not have a chance to know their work.

Wish all women (girls) a happy holiday!