History of Lipschitz maps

	Revision 2 . . August 31, 2001 7:09 am by Zundark [cleaned up]
	Revision 1 . . August 31, 2001 6:23 am by (logged).218.246.xxx

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Changed: 1,3c1

A funtion f whose domain and range are real is Lipschitz continuous if there exists a constant M such that for all x and y, |f(x) - f(y)| <= M * |x - y|. The geometric interpretation is that if you put a cone (of constant angle) around each point of the graph of the function, the function stays inside that cone.

A function f whose domain and range are real is Lipschitz continuous if there exists a constant M > 0 such that |f(x) - f(y)| <= M.|x - y| for all x and y.