## Search found 616 matches

Sat Aug 11, 2007 9:10 am UTC
Forum: Logic Puzzles
Topic: Traveler's Dilemma
Replies: 833
Views: 86764
My conclusion (from above) is that 2 is the only rational choice if your opponent is perfectly rational, assumes that you are perfectly rational, and so forth, but under other circumstances you are probably best off going with something like 98 or 99. But of course people are imperfectly rational, ...
Sat Aug 11, 2007 8:45 am UTC
Forum: Mathematics
Topic: Capital letter pi
Replies: 25
Views: 6495
Well, large sums seem to come up a lot more frequently in my experience. This is even more true when you consider infinite sums and products - series have their own name, for one thing, and are given a least a chapter in most calculus and analysis books. How often do infinite products come up? Perh...
Sat Aug 11, 2007 7:48 am UTC
Forum: General
Topic: INTRO THREAD 2.0: INTRODUCE YOURSELF OR PERISH!
Replies: 2548
Views: 330421
I want to use here to help me learn physics. I bought a book(physics demystified) which seems to know what it's talking about and bored me to death, and then realized that an 8th grade education doesn't help much with the math(and I am only going into 9th grade this year. Are you going to be a thre...
Fri Aug 10, 2007 12:56 am UTC
Forum: General
Topic: Sleep patterns
Replies: 207
Views: 15240
I have a weekly schedule, so when I wake up depends on the day of the week. Usually when I do end up going to bed it's 2-4 hours after I am exhausted. I guess that's where those dark circles under my eyes are from... My uptimes: Sunday: 5:00 to >1:00 Monday: 7:00 to >2:00 Tuesday: 7:00 to >2:00 Wedn...
Thu Aug 09, 2007 7:53 pm UTC
Forum: General
Topic: INTRO THREAD 2.0: INTRODUCE YOURSELF OR PERISH!
Replies: 2548
Views: 330421
Yes, my avatar does contain a rather drawn out checkmate. I found it somewhere several years ago. Don't remember where anymore :( It's a demonstration that it is possible to force checkmate with just a knight and bishop for pieces. I probably ought to mention that I found XKCD via slashdot. An IRC f...
Thu Aug 09, 2007 9:26 am UTC
Forum: General
Topic: INTRO THREAD 2.0: INTRODUCE YOURSELF OR PERISH!
Replies: 2548
Views: 330421
you mean there's another area besides the logic and the maths areas? Meh. Maybe I'll post in the intro thread later. Any sensible geek would've put the intro thread in one of those two spots. So, going from point A to point B, the intro thread is en route to point A? Gotcha. Okay, then. Here I am. M...
Thu Aug 09, 2007 8:16 am UTC
Forum: Mathematics
Topic: So Sad
Replies: 58
Views: 9064
who else likes doing the longhand square root algorithm just because they can? Oooh! I do! Of course, I prefer the method with a_i = (n + a_{i-1}^2)/2, where a_i is the i'th approximation for the square root of n. If you start with an order of magnitude approximation for a_1, a_6 is good to a dozen...
Thu Aug 09, 2007 7:14 am UTC
Forum: Logic Puzzles
Topic: Not too hard logic problem
Replies: 12
Views: 3751
I saw a zombie with a scalpel in his hand Walking through the halls of the hospital He was looking for the room one-oh-two Gonna operate on that man's skull ERRRRNGGGH! Zombies of London If you hear him groaning on the roads You better not crash into him A man and his boy got mutilated late last nig...
Thu Aug 09, 2007 6:48 am UTC
Forum: Logic Puzzles
Topic: The Cipher Thread
Replies: 23
Views: 4491
19-1-24-22- -9-22-1-..... - Substitution cipher [13, 126, 93, 75, 89, 10..... - Substitution cipher RLKK VS FHTVLSK..... - Substitution cipher I'm starting to see a pattern... All a bunch of simple substitution ciphers so far. So how about a polyalphabetic substitution cipher? The following is a pe...
Sat Aug 04, 2007 7:00 am UTC
Forum: Mathematics
Topic: Memorable pages
Replies: 11
Views: 2292
More seriously, the density of numbers which are interesting for more than just "the first non-interesting number" is pretty high within the range of pages that you're likely to see in a book. Oh, I'll do you one better. By induction: First, proof that 1 is interesting. It's the smallest ...
Sat Aug 04, 2007 6:48 am UTC
Forum: Mathematics
Topic: Percentage of reals rational
Replies: 74
Views: 12611
Sorry, I was referring to this: If you're asking about probability, then you need to specify a probability distribution on the reals; i.e. a procedure for picking reals according to some probabilities. There is really no single probability distribution on the reals which is "correct"; the...
Sat Aug 04, 2007 6:03 am UTC
Forum: Mathematics
Topic: infinite number of exponents
Replies: 4
Views: 1820
I think you got x and N backwards in your answer Looks about right otherwise.
Fri Aug 03, 2007 12:22 am UTC
Forum: Mathematics
Topic: infinite number of exponents
Replies: 4
Views: 1820

### infinite number of exponents

The following is presented for your entertainment. Consider the equation x^(x^(x^(x^(...)))) = N for some given value of N. There is a simple solution to this equation that takes advantage of the fact that x^RHS = x^LHS = LHS = RHS, where RHS and LHS denote Right Hand Side and Left Hand Side, respec...
Fri Aug 03, 2007 12:00 am UTC
Forum: Logic Puzzles
Topic: A very interesting Mathematical Paradox
Replies: 387
Views: 157461
phlip wrote:1 - 0.999... < ε

What more is there to say?

for all ε > 0.
Thu Aug 02, 2007 11:25 am UTC
Forum: Mathematics
Topic: How many digits of Pi do you know?
Replies: 445
Views: 107269
Before reading the posts here, I had 32. After looking at most of the answers given (and catching a couple of errors :twisted: ) I think I can up that to 35. 3.1415926 535 8979 323 8 4 626 4 338 3 27 9 50 288 The 3 27 9 part is pretty easy because it's simply a permutation of 3^1, 3^2, and 3^3. The ...
Thu Aug 02, 2007 11:00 am UTC
Forum: Mathematics
Topic: Favorite math jokes
Replies: 1452
Views: 489918
Why does a chicken coop have two doors? Because if it had four doors it would be a chicken sedan. ====================== Why is the indefinite integral of dy the sweetest integral of all? Because it's C and y. ====================== A lawyer, a gardener, and an engineer are arguing over what the fir...

Go to advanced search