Examples 7.1.2(a):
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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.