The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: What is the intuitive meaning of "non-Archimedean" for a valued field?
Replies: 11   Last Post: May 15, 2013 4:29 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Brian Q. Hutchings

Posts: 6,427
Registered: 12/6/04
archmimedean valuation is infinity-adic numbering
Posted: May 14, 2013 10:38 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

as an old aerospace engineer once said,
"my congruence surds are not p-adic numbers, but
that's what most mathematicians mistook them, for;"
although he didn't say it,
the canonical p-adic numbers are actually not prime-
based, but 10-adics:
subtract a larger number from a smaller,
a la backwards on the odometer.

he also said that
they are not useful for valuations, but
only for eliminating classes of congruences,
mod p, a prime.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.