The positive elements in an ordered ring allow us to compare elements to 0, but we know in the integers that we can compare any two elements to each other. For example, we know that 4>2 because 4-2>0. We can extend this idea to any ordered ring. If R is an ordered ring and a,b∈R, then we know by trichotomy that exactly one of the following must be true: a-b>0, a-b=0, or -(a-b)>0.

The Fürst Theater, the only theatre now open in Vienna, announced last week for production a bluette entitled, Der Schah von Persien in Wien (The Shah in Vienna).

The military exercise, code named “Lien Hsing”, was held at Pingtung County's Fangshan township, involving all three branches of the ROC Armed Forces.

Go west, young man. But stop before you get to California.