[問題] Homework 3-1,3-2

作者: hometoofar (家太遠了)   2005-10-10 21:49:26
I am stuck on question 1 and 2 for homework 3 for a long time.
Could someone give me a hint on them or point out if I am thinking in the
right direction?
For Q1, I try to expand the exponent in terms of xi1,xi2,xj1 and xj2 then I
try to rearrange them so the expanded terms (other than the square of of the
basic elements) fit well in the denomenator (n) of the infinite series
e^n = (1+n/1!+n^2/2!+.......). No luck on this direction so far...
I couldn't get something like what we have in the lecture.
For Q2, suppose x is in n1 space and phi(x) is in n2 space; we need to
express n2 in terms of n1 and maybe d (the exponent in poly kernel), right?

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