Measures of Spatial Central Tendency
The coordinate-wise mean of a point set is the centroid, which solves the same variational problem in the plane (or higher dimensional Euclidean space) that the familiar average solves on the real line — that is, the centroid has the smallest possible average squared distance to all points in the set.
Read more about this topic: Spatial Descriptive Statistics
Famous quotes containing the words measures of, measures, central and/or tendency:
“To have the fear of God before our eyes, and, in our mutual dealings with each other, to govern our actions by the eternal measures of right and wrong:MThe first of these will comprehend the duties of religion;Mthe second, those of morality, which are so inseparably connected together, that you cannot divide these two tables ... without breaking and mutually destroying them both.”
—Laurence Sterne (17131768)
“This Government has found occasion to express, in a friendly spirit, but with much earnestness, to the Government of the Czar, its serious concern because of the harsh measures now being enforced against the Hebrews in Russia.”
—Benjamin Harrison (18331901)
“For us necessity is not as of old an image without us, with whom we can do warfare; it is a magic web woven through and through us, like that magnetic system of which modern science speaks, penetrating us with a network subtler than our subtlest nerves, yet bearing in it the central forces of the world.”
—Walter Pater (18391894)
“The world-spirit is a good swimmer, and storms and waves can not drown him. He snaps his fingers at laws; and so, throughout history, heaven seems to affect low and poor means. Through the years and the centuries, through evil agents, through toys and atoms, a great and beneficent tendency irresistibly streams.”
—Ralph Waldo Emerson (18031882)