Three forms of mathematical induction: Difference between revisions

Revision as of 22:50, 6 March 2006

Revision as of 22:50, 6 March 2006

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The usual [[triangle inequality]] in [[metric space]]s says

:<math>d(a,b)c +\le d(a,b,c) \ge+ d(ab,c).\,</math>

For a sequence of ''n'' points, one has

:<math>d(x_1,x_n) \le d(x_1,x_2)+\cdots+d(x_{n-1},x_n).\,</math>