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Re: finding approximate 'least common factor'


From: Francesco Potortì
Subject: Re: finding approximate 'least common factor'
Date: Wed, 25 May 2011 13:05:22 +0200

>> I have numbers which are approximately (but not exactly) an integer
>> number of some basic quantity. How would you estimate that basic
>> quantum? For instance, if the data is:
>
>> All I could come up with is to look at all the candidates (s) and
>> plot the sum of squares (d) of the integer quotient residuals (c)
>> against the value of the candidates...
>>
>> Can anyone think of a more precise numerical algorithm?
>
>Might try some sort of discrete Fourier transform, where the numbers
>represent the x values and the count of values at each x represents an
>impulse function of that amplitude.

Right, it could be seen as an instance of the classic problem of "pitch
detection" or "fundamental frequency estimation" of a sampled sound.

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