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The TE tuning minimizes the max TE-weighted error over all intervals

🔗Mike Battaglia <battaglia01@gmail.com>

7/29/2012 5:41:50 PM

Is there some reason this statement is supposed to be controversial or
false? It appears to derive rather straightforwardly from the
definition of the dual norm on a Banach space.

-Mike

🔗Graham Breed <gbreed@gmail.com>

7/30/2012 12:12:06 PM

Mike Battaglia <battaglia01@gmail.com> wrote:
> Is there some reason this statement is supposed to be
> controversial or false? It appears to derive rather
> straightforwardly from the definition of the dual norm on
> a Banach space.

It's interesting that optimizing the RMS of the
Tenney-limited prime errors seems to give the same result
as optimizing the minimax of the Tenney-weighted RMS-prime
errors. Could there be a way of proving it directly? A
pre-packaged theorem that already addresses this?

Graham

🔗Mike Battaglia <battaglia01@gmail.com>

7/30/2012 3:14:02 PM

On Mon, Jul 30, 2012 at 3:12 PM, Graham Breed <gbreed@gmail.com> wrote:
>
> It's interesting that optimizing the RMS of the
> Tenney-limited prime errors seems to give the same result
> as optimizing the minimax of the Tenney-weighted RMS-prime
> errors.

What's "Tenney-weighted RMS-prime error?" You mean the minimax of the
TE norm-weighted error for all intervals?

-Mike