Re: leasqr question

[Juan Pablo Carbajal]

On Fri, Aug 24, 2012 at 5:45 PM, Sergei Steshenko <address@hidden> wrote:
>
>
> --- On Fri, 8/24/12, seektime <address@hidden> wrote:
>
>> From: seektime <address@hidden>
>> Subject: Re: leasqr question
>> To: address@hidden
>> Date: Friday, August 24, 2012, 8:35 AM
> ]snip]
>> how can a function depend on the number of points? It's a
>> function, no? But
>> nevertheless, I will look into it in more detail.
>>
>>
> [snip]
>
>
> Try just _one_ line:
>
> plot(sin(2 * pi *linspace(0, 1, 9)));
>
> not at all related to fitting - will you claim based on what you see that 
> 'sin' function is not smooth ?
>
> Regards,
>   Sergei.
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Mathematically the fit is described with a function, but to put in in
the screen you need a finite number of values. As sergei point out
if you plot a sine function (which is very smooth) with a few data
points, it doesn't look smooth. To see the "smoothness" of the
function when plotting you need ot use more points, the more you use
the more smooth the function will look like. At certain point it
doesn't make sense to add more points (cause you will not see the
difference) and there you have your finite amount of points making
your plot look smooth.



-- 
M. Sc. Juan Pablo Carbajal
-----
PhD Student
University of Zürich
http://ailab.ifi.uzh.ch/carbajal/