Examples 7.1.2(a):

What is the norm of a partition of 10 equally spaced subintervals in the interval [0, 2] ?
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To find a partition of the interval [0, 2] into 10 equally spaced subintervals means to find points x0, x1, ... x10 inside that interval so that each point has the same distance from its predecessor. Therefore, the points are:
x0 = 0/10 = 0 x1 = 2/10 x2 = 4/10
x3 = 6/10 x4 = 8/10 x5 = 10/10
x6 = 12/10 x7 = 14/10 x8 = 16/10
x9 = 18/10 x10 = 20/10 = 2
Therefore, the norm of this partition is 2/10.

Interactive Real Analysis, ver. 1.9.5
(c) 1994-2007, Bert G. Wachsmuth
Page last modified: Mar 28, 2007