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2002/5/18-20 [Uncategorized] UID:24877 Activity:high |
5/17 Would someone please explaine how a set can be both open and closed at the same time? --PeterM \_ Being clopen is rare in Euclidean space with the usual metric. The only clopen sets are the entire space and the empty sets. However, when you endow the space with some other topology, the you can get many clopen sets . For example, the discrete topology implies that *every* set is clopen. The key point is that open and closed sets are not opposites, but simply classes of sets with different definitions. Closed essentially means "limits of sequences of points are in the set" and open means "every point has a little fuzzy neigborhood" around it. If you think of it that way, it's not too hard to believe that under some topologies you can "trick" a set into being open and closed at the same time. fab \_ open and closed seem like oposites most of the time, but their not. The only good example I can think of this is the whole line (-infty,infty) - has all of its limit points and yet still every point is in a neighborhood which is in the set. 'course that implies that the nought set is open and closed as well. There are more funky examples when your universe isn't R. (-infty,infty) - has all of its limit points and yet still every point is in a neighborhood which is in the set. 'course that implies that the nought set is open and closed as well. There are more funky examples when your universe isn't R. \_ You can usually find good examples of unintuitive results by considering a discrete metric space (i.e. a set of points with the metric d(a,b) = 0 if a = b and 1 otherwise). In this space every set of points is closed because any convergant sequence of points in the set converges to a limit point in the set and open because an epsilon-ball centered on point X in the set only contains points in the set (in fact the epsilon ball only contains X). -emin \_ Both of the above posts are right. Keep in mind that "closed" is often defined as "complement of an open set", and what sets are open is part of the definition of the topological structure of the space (which has to obey certain axioms). |
2002/5/18-20 [Uncategorized] UID:24878 Activity:moderate |
5/17 What spyware-free open-source gnutella client are the elite folk using these days? \_ gnucleus http://sourceforge.net/projects/gnucleus :) \_ i been using kazaa lite. you can get src for it if you look. |
2002/5/18 [Computer/SW/Mail] UID:24879 Activity:nil |
5/17 those spammers are pretty clever: ---- From FunkyMonkey2002@hotmail.com Sat May 18 01:04:57 2002 Date: 18 May 2002 07:39:31 -0000 From: FunkyMonkey2002@hotmail.com To: me@soda.csua.berkeley.edu Subject: Yo! Hi! ---- I came real close to falling for this before i took a closer look.. ____ Received: from <DEAD>smtp007.eli.aawmarketing.com<DEAD> ([208.187.130.7]) by http://soda.csua.berkeley.edu (8.11.6/8.11.6) with SMTP id g4I5bjx46827 for <me@soda.csua.berkeley.edu>; Fri, 17 May 2002 22:37:45 -0700 (PDT) (envelope-from FunkyMonkey2002@hotmail.com) Received: (qmail 5821 invoked by uid 0); 18 May 2002 07:39:53 -0000 Date: 18 May 2002 07:39:31 -0000 Message-ID: <20020518073931.5820.qmail@smtp007.eli.aawmarketing.com> |
2002/5/18-22 [Academia/Berkeley/CSUA/Motd, Academia/Berkeley/CSUA/Troll] UID:24880 Activity:high |
5/18 What's this? ^Something relevant above the line?^ A CSUA party?!? Yes- we're throwing a party for CSUA people- current and alums. We'd really like to see lots of the CSUA geezers there, so we'd appreciate it if you people could tell the people who don't drop by the office or log in to soda anymore. Here's the link fo the info: http://www.csua.berkeley.edu/~phillip/logout What can I say to get you to come? We'll have mass alcohol. We'll have a hot tub. We'll have college girls. We'll have Rez. For all my laid-off brethren- we'll have free food. Tanks. ,wllm \_ but will you have bitches? \_ and free x-jobs? Tanks. ,wllm \_ Shuffled back to the top by the motd shuffling daemon \_ stupidity about nweaver deleted. I've had a beer with nweaver I've been to a party ith nweaver. Really it's nothing to get anxious about - nick is a good guy, quit fucking being little bitchy pricks. - paolo \_ I'm kind of curious about the girls part. They're not going to show up on their own so how much is it costing you? \_ Ah you still have much to learn my paduin apprentice. \_ padawan? \_ SOmeone removed my post asking if Nick Weaver will be there. \_ Someone removed my post asking if Nick Weaver will be there. I want to say I partied with Nick Weaver. \_ I'm going to see if I can get Euphrasia to show up. cynthia \_ Who's Euphrasia? -dans (party cohost) \_ Also known as ikiru. Consult the CSUA Encyclopedia, unintuitively under "Poetry." \_ Fucking awesome! I know who ikiru is, I just didn't Who killed the scifi thread. Anyway my recs are James Morrow and Jonathan Lethem for "new" school and Lem/Dick for old school. connect Euphrasia with her handle. -dans \- Be sure to ask for Grace Kelley --psb \_ Euphrasia cool to talk to and look at. Dont you mean Grace Kelly? \_ Okay, I'll bite. Who is Grace Kelley? -dans \_ You don't know who Grace Kelley is? Are you serious? Next you'll be saying you don't know who Elvis is. obgoogle. \_ Context dude. I didn't think you were referring to the (dead) Princess of Monaco. I am seriously missing something here. By the way, who's this Elvis guy? -dans \_ It goes like this, "Grace... Kelley... wow". Ok? \_ Still not getting it. Perhaps you are trying and failing to be funny. -dans \_ Uh...uh....uh...yermom! |
2002/5/18-20 [Uncategorized] UID:24881 Activity:high |
5/18 My company is on a very fast network but they've blocked access to Kazaa and Morpheus. What can I do? I want to download the DVD rips. Is there a way to run a proxy of some sort? Thanks. \_ do you have another job lined up? \_ look in tmp? \_ how does that help? \_ I think he means /csua/tmp \_ do you dial those 900 phone sex numbers at work too? |
2002/5/18 [Uncategorized] UID:24882 Activity:nil |
5/17 Rush tour. If anyone interested in seeing them mail oso@ocf |