Problems for
Intermediate Methods in Theoretical Physics
Edward F. Redish
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Problems for Edward F. Redish |
A familiar example
of a linear space is our everyday 3-dimensional Cartesian space of
position vectors. In class, we've discussed several examples of linear
spaces where the "vectors" are functions
and not strictly magnitudes-and-direction vectors like 
,
etc. Give an example of a function vector space and compare and
contrast it to Cartesian space. Include in your discussion the
concepts of basis vector, orthonormality, and completeness. Note: This
is an essay question. Your answer will be judged not solely on
its correctness, but for its depth, coherence, and clarity.
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Last revision 2. December, 2005.