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2.2.3 Examples:

  1. For MATH MATH where, for example, MATH

  2. For MATH MATH

    more generally, for MATH MATH

  3. For MATH MATH

Note: For MATH

MATH

Note: For $\QTR{Large}{n=1\ }$the three metrics agree.

For MATH MATH

Exercise:

For MATH

  1. MATH

  2. MATH

Caculate MATH and MATH .

In fact the metrics generate the same "Topology" in a sense that will be made precise below.