CTK Insights

19 Jan

p-adic Curiosities

Wonderment at the identity

-1 = 1 + 2 + 4 + 8 + ...

dwarfes the perennial question as to whether .9999... equals 1 or not. Still, it holds in exactly same sense as the limit of a convergent series. The sums of the successive powers of 2 converge in the 2-adic norm! Moreover, they converge to a negative 1.

See, p-adic Numbers and p-adic Expansions

Leave a Reply

Time limit is exhausted. Please reload the CAPTCHA.

© 2017 CTK Insights | Entries (RSS) and Comments (RSS)

Powered by Wordpress, design by Web4 Sudoku, based on Pinkline by GPS Gazette