Want to understand a concept here about dimensions of a function.(adsbygoogle = window.adsbygoogle || []).push({});

Using example 1: a simple fourier series from http://en.wikipedia.org/wiki/Fourier_series

[itex] s(x) = \frac{a_0}{2} + \sum ^{\infty}_{0}[a_n cos(nx) + b_n sin(nx)] [/itex]

So do we now say that [itex] s(x) [/itex] has an infinite dimensional parameter space?

When I think of x being one dimensional, I think of [itex] y = mx + b [/itex] which to me is a 2 dimensional parameter problem for y...

Trying to figure out what exactly is meant by a "high dimensional pde" which lives in 2-d (as an example)...

I assume this would be the same answer for a problem that considers the Karhunen-Loeve transform.

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# Simple question about dimension

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