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The method
It would not strike you as odd that
any function in R
3
can be expanded as a 3 term series
provided the basis for this expansion is
orthogonal, e.g.:
i, j, and k are said to form an orthogonal basis
Many orthogonal bases exist!
1 ˆ ˆ ˆ ˆ ˆ ˆ
0 ˆ ˆ ˆ
ˆ ˆ ˆ
=
•
=•
=•
=•
=
•=•
kk j j i i
i k k j j
i