Properties
Among the properties of the ternary median operator < x,y,z > are:
- < x,y,y > = y
- < x,y,z > = < z,x,y >
- < x,y,z > = < x,z,y >
- < < x,w,y >, w,z > = < x,w, < y,w,z > >
An abstract system satisfying these as axioms is a median algebra.
Read more about this topic: Majority Function
Famous quotes containing the word properties:
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (18031882)
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (16321704)