Bill Hawkins wrote: > -----Original Message----- > From: Bruce Griffiths > Sent: Sunday, November 09, 2008 10:00 PM > > -------%<-------- > Thus > VAR(1) = (VAR(1,2) + VAR(1,3) - VAR(2,3))/2 > VAR(2) = (VAR(1,2) + VAR(2,3) - VAR(1,3))/2 > VAR(3) = (VAR(1,3) + VAR(1,3) - VAR(1,2))/2 > > and > -------%<-------- > Thus > ADEV(1) = (ADEV(1,2) + ADEV(1,3) - ADEV(2,3))/2 > ADEV(2) = (ADEV(1,2) + ADEV(2,3) - ADEV(1,3))/2 > ADEV(3) = (ADEV(1,3) + ADEV(1,3) - ADEV(1,2))/2 > > > Bruce, > > Does the third equation really use ADEV(1,3) twice? > It doesn't have the same symmetry as the first and second > where each index shows up twice. > > Bill Hawkins > > > Bill No it shouldn't, I obviously missed this when editing. they should be: VAR(3) = (VAR(1,3) + VAR(2,3) - VAR(1,2))/2 ADEV(3) = (ADEV(1,3) + ADEV(2,3) - ADEV(1,2))/2 Bruce

Bruce Griffiths wrote: > Bill Hawkins wrote: > >> -----Original Message----- >> From: Bruce Griffiths >> Sent: Sunday, November 09, 2008 10:00 PM >> >> -------%<-------- >> Thus >> VAR(1) = (VAR(1,2) + VAR(1,3) - VAR(2,3))/2 >> VAR(2) = (VAR(1,2) + VAR(2,3) - VAR(1,3))/2 >> VAR(3) = (VAR(1,3) + VAR(1,3) - VAR(1,2))/2 >> >> and >> -------%<-------- >> Thus >> ADEV(1) = (ADEV(1,2) + ADEV(1,3) - ADEV(2,3))/2 >> ADEV(2) = (ADEV(1,2) + ADEV(2,3) - ADEV(1,3))/2 >> ADEV(3) = (ADEV(1,3) + ADEV(1,3) - ADEV(1,2))/2 >> >> >> Bruce, >> >> Does the third equation really use ADEV(1,3) twice? >> It doesn't have the same symmetry as the first and second >> where each index shows up twice. >> >> Bill Hawkins >> >> >> >> > Bill > > No it shouldn't, I obviously missed this when editing. > > they should be: > > VAR(3) = (VAR(1,3) + VAR(2,3) - VAR(1,2))/2 > > > ADEV(3) = (ADEV(1,3) + ADEV(2,3) - ADEV(1,2))/2 > > > Bruce > > _______________________________________________ > time-nuts mailing list -- time-nuts@febo.com > To unsubscribe, go to https://www.febo.com/cgi-bin/mailman/listinfo/time-nuts > and follow the instructions there. > > Oops, the last 3 equations should actually have been: AVAR(1) = (AVAR(1,2) + AVAR(1,3) - AVAR(2,3))/2 AVAR(2) = (AVAR(1,2) + AVAR(2,3) - AVAR(1,3))/2 AVAR(3) = (AVAR(1,3) + AVAR(2,3) - AVAR(1,2))/2 That is the Allan variances, not the Allan Deviations. Bruce