Jump to content
BrainDen.com - Brain Teasers
  • 0
Sign in to follow this  
superprismatic

Question

5 answers to this question

Recommended Posts

  • 0
Guest

Can anyone determine why I celebrate

September 10th as ln(2) day?

ln(2)= 0.693.....

Sept 10th is .693.... ways throu the year

Share this post


Link to post
Share on other sites
  • 0
Guest

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.

Share this post


Link to post
Share on other sites
  • 0
Guest

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?

Share this post


Link to post
Share on other sites
  • 0

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!

Share this post


Link to post
Share on other sites

Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.

Guest
Answer this question...

×   Pasted as rich text.   Paste as plain text instead

  Only 75 emoji are allowed.

×   Your link has been automatically embedded.   Display as a link instead

×   Your previous content has been restored.   Clear editor

×   You cannot paste images directly. Upload or insert images from URL.

Loading...
Sign in to follow this  

  • Recently Browsing   0 members

    No registered users viewing this page.

×
×
  • Create New...