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Topics - Shu Wang

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Misc Math / Orthogonal systems: approximation
« on: October 20, 2012, 06:29:47 PM »
Hi all,
  First, I have a trivial question on the definition of the {u_n}(finite orthonormal system) that's mentioned at the introduction of this section in lecture note #14.
  Is this set/system defined in H, in which you did not mention whether it's infinite or finite? or does it span its own space(any) based on perhaps infinite/finite number of linear hulls including K, which in particular belongs to H?   :-\

Also  In the following Theorem 1
b) I think this implies w is linear independent of other elements in K, regardless of "unique" in a) or c)
c) do you mean "w in K"(summation of alpha times u_n) rather than equal to it?

Thanks in advance.

Misc Math / Lecture Notes 7 -- Ex 3-4
« on: October 14, 2012, 01:25:44 AM »
sorry for stealing the post; I've got a question regarding to Example 3 and 4 on Lecture 7.
How do you turn the Robin boundary conditions to a function of psi and phi?

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