superprismatic Posted April 21, 2011 Report Share Posted April 21, 2011 Can anyone determine why I celebrate September 10th as ln(2) day? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 21, 2011 Report Share Posted April 21, 2011 Can anyone determine why I celebrate September 10th as ln(2) day? ln(2)= 0.693..... Sept 10th is .693.... ways throu the year Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 21, 2011 Report Share Posted April 21, 2011 365 * ln (2) = 253 I suspect 9/10 is the 253rd day of the year Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 21, 2011 Report Share Posted April 21, 2011 i thought about that but they aren't exact. Sept 10 is julian 255 which is 0.66803559206023271731690622861054through the year (254 / 365.25). ln (2) = 0.69314718055994530941723212145818. if we're only talking rounding error, than i politely withdraw my comment. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 21, 2011 Report Share Posted April 21, 2011 i thought about that but they aren't exact. Sept 10 is julian 255 which is 0.66803559206023271731690622861054through the year (254 / 365.25). ln (2) = 0.69314718055994530941723212145818. if we're only talking rounding error, than i politely withdraw my comment. odd, I get Sept 10th as the 253rd day, or 254th in a leap year. would the fact that julian dates change at noon instead of midnight cause this difference? Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted April 22, 2011 Author Report Share Posted April 22, 2011 Well, you BrainDenners sure got onto this one quickly. I'd like to tell you why I celebrate September 10th each year. I was debugging a subroutine which computed rational approximations of real numbers using continued fractions. I started testing it on things like π and ln(2) when I noticed that one approximation to ln(2) was 253/365. So, I looked up what day of the year that was. What was even more amazing is that this approximation is correct to five significant digits. It also happens that I started working at my wonderful career on that day, September 10th! Quote Link to comment Share on other sites More sharing options...
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superprismatic
Can anyone determine why I celebrate
September 10th as ln(2) day?
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