Page123Sentence6to8

HstarWeblog.Page123Sentence6to8 History

Hide minor edits - Show changes to markup

October 02, 2006, at 07:29 PM by hodge - Tweak.
Changed lines 6-7 from:

I'm also going to cheat by reaching for the books on my bedside table rather than those under my monitor since I'm not sure telephone directories have sentences per-se and I'm certainly not going to quote anything from Sommerville's "Software Engineering"—there's a reason it's under my monitor.

to:

I'm also going to cheat by reaching for the books on my bedside table rather than those under my monitor since I'm not sure telephone directories have sentences per-se and I'm certainly not going to quote anything from Sommerville's Software Engineering—there's a reason it's under my monitor.

October 02, 2006, at 07:28 PM by hodge - Doh.
Changed lines 4-5 from:

Ordinarily I snub my nose at blog memes, but someone I can't refuse has tagged me with the "sentences 6-8 from page 123 of your nearest book" one, so here goes:

to:

Ordinarily I thumb my nose at blog memes, but someone I can't refuse has tagged me with the "sentences 6-8 from page 123 of your nearest book" one, so here goes:

October 02, 2006, at 07:28 PM by hodge - Tagged by "page 123, sentences 6 to 8" meme.
Added lines 1-16:

Page 123, Sentences 6 to 8

2 October 2006

Ordinarily I snub my nose at blog memes, but someone I can't refuse has tagged me with the "sentences 6-8 from page 123 of your nearest book" one, so here goes:

I'm also going to cheat by reaching for the books on my bedside table rather than those under my monitor since I'm not sure telephone directories have sentences per-se and I'm certainly not going to quote anything from Sommerville's "Software Engineering"—there's a reason it's under my monitor.

From the complex perspective we see that 1/z is indeed a single function. The one place where the function 'goes wrong' in the complex plane is the origin, z = 0. If we remove this one point from the complex plane, we still get a connected region.

It's from The Road to Reality by Roger Penrose. I'm not a big fan of Penrose's Mind series ([1], [2], [3]) but his new book appeared much more closely focused on what he's famous for (mathematical physics) and so I bought myself a copy with some of the book vouchers I received on my birthday.

In the quoted sentences he's examining how 1/x (where x is a real number) which appears to be disconnected at x = 0 (the graph seems to be two separate curves) becomes a connected graph when we extend it into the complex plane as the function 1/z (where z is a complex number).

I'm about a sixth of the way through and so far I've been getting exactly what I wanted out of it - insights into which pieces of mathematics Penrose considers important for physics and why. We'll see how the rest goes. :)

Edit - History - Print - Recent Changes - Search
Page last modified on October 02, 2006, at 07:29 PM