History of CBS inequality

	Revision 3 . . August 31, 2001 5:10 am by (logged).218.246.xxx
	Revision 2 . . August 15, 2001 5:15 pm by Rchase

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A concrete example: Euclidean Geometry in the plane (R^2). Here, the CBS inequality says that the area of a parallelogram is less than or equal to the product of the length of its sides. If the parallelogram happens to be a square, they are equal. In the language of inner products, the CBS inequality says that <x, y>^2 <= <x, x> * <y, y>. An inner product really represents translating the Euclidean ideas of "area" and "angle" to more abstract spaces.