Exact Ordering

Abstract

 Ordering is an important subject of learning; it has so many applications in day -to - day life. Hence, in this paper exact and general exact ordering methods are reviewed giving sample applications for them.

Firstly, the exact ordering method is introduced and few theorems are given to assign the conditions needed to locate the position of a required object among a class of objects to be ordered in a certain manner in three classes.

Secondly, the exact ordering method is generalized to any odd number of classes  In both cases and if the required object class is put in the middle of other classes, then the required object will be located exactly in the middle of all objects provided that we arrange the objects orderly in three classes in the first case and in ones in the second general case and where certain defined steps are to be followed.In general  steps are required to determine the required object exactly and where  is the odd number of classes.

Making the subject more interesting, deeper, and handled in a sophisticated manner, through the introduction of exact ordering operators, is then exposed to.

Finally, few different applications are suggested in physics, operational research, criminal investigation and in sorting files and postal mailing. A practical demonstration with playing cards is also mentioned.