http://www.teamliquid.net/blog/Muirhead en-us Thu, 19 Jan 2012 16:29:17 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=304497 Muirhead A very kind person, who I respect very deeply, posed a question: Is it a valuable use of time to study theoretical math today? Does it help humanity? Are there better ways to use one's time? There are many types of math, and I can't understand most well enough to even approach the question. But I can try a little, at least with the sort of math I'm interested in... Argument 1: Much mat... Thu, 19 Jan 2012 16:29:17 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=304497 http://www.teamliquid.net/blogs/viewblog.php?topic_id=303249 Muirhead My girlfriend decided overlords are cute! She drew one: She wants to curl up in its ventral sacs and fly across the country. But it's too slow :( Sun, 15 Jan 2012 04:47:51 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=303249 http://www.teamliquid.net/blogs/viewblog.php?topic_id=190634 Muirhead MIT is about to play Yale in the CSL Right now at livestream.com/mitcsl We are a bubble team and need to win to make the playoffs ^^ We can only win with your support Check out our website at starleague.mit.edu We love Chill! Sun, 06 Feb 2011 06:13:21 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=190634 http://www.teamliquid.net/blogs/viewblog.php?topic_id=165315 Muirhead Why do people believe in God? Not why, as in, why do they disbelieve in atheism, but why as in why do they ask themselves THE question at all? I think they are looking for purpose in their existence. Why seek purpose? I think because they do not know how they should behave, how they should act and think and BE. To determine what actions to take, what thoughts to make, they feel they must... Mon, 01 Nov 2010 07:05:26 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=165315 http://www.teamliquid.net/blogs/viewblog.php?topic_id=146613 Muirhead I am in a game right now. He has about 20 battlecruisers hovering over his mined out island on scrapstation. The island is full of turrets. Turrets apparently kill 3/3 voidrays and interceptors. I got a mothership in by suiciding 200/200 voidrays but my recall lost to BCs. I have infinite money, since he only had 2 bases all game long. TL, YOU'RE MY ONLY HOPE. EDIT: MAN I LOST WH... Mon, 23 Aug 2010 14:34:47 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=146613 http://www.teamliquid.net/blogs/viewblog.php?topic_id=125551 Muirhead My father will be in Seoul tomorrow and hopefully he can pick me up some SKT merchandise (ideally a shirt/jersey, etc.) Can anyone give directions here on how to get stuff? It would be much appreciated! Sun, 16 May 2010 06:12:39 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=125551 http://www.teamliquid.net/blogs/viewblog.php?topic_id=113108 Muirhead So I've been hovering in silver league between ranks 1 and 2 and I'm curious if anyone knows how one moves up to the next league. Any idea? Sun, 21 Feb 2010 09:20:01 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=113108 http://www.teamliquid.net/blogs/viewblog.php?topic_id=105092 Muirhead I'm trying to remember the name of a fairly old game I played (from around the time of Starcraft). I know it's not much information to go by, but basically it was a single-player RTS/RPG hybrid game. The defining feature was that you could build units or shops etc. but you couldn't control the units you built. They would walk around and fight on their own. It was set in a fantasy setting. ... Thu, 05 Nov 2009 10:26:14 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=105092 http://www.teamliquid.net/blogs/viewblog.php?topic_id=101231 Muirhead Please PM me if you are interested in participating in CSL at MIT. I want to gather some data on who is interested. Include your best iccup rank in your PM. For reference, if you are C-/C level or above we could probably use you for the team. Of course, regardless of your rank CSL can be a great way to meet other Starcraft lovers. Thu, 03 Sep 2009 13:03:52 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=101231 http://www.teamliquid.net/blogs/viewblog.php?topic_id=98480 Muirhead Ok it's my turn to post a shameless homework help thread :(. In the past I have been really surprised/impressed by the background of folks on this site so I'm hoping you guys can help me out ^^. I'm trying to write complete solutions to the problems in Ramakrishnan and Valenza's book. The problems are generally approachable but given the sheer volume of questions I know I'm going to get st... Sun, 26 Jul 2009 18:13:09 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=98480 http://www.teamliquid.net/blogs/viewblog.php?topic_id=97822 Muirhead Disclaimer: These numbers are not supposed to have any real significance Suppose you are playing an RTS on some ladder. Assume everyone has equal skill levels, so we are simply speaking about build order advantages. Your standard, "safe" build order against a different race gives you an 80% chance of having a 60% chance to win a game. During the other 20% of your games you lose ... Fri, 17 Jul 2009 06:23:41 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=97822 http://www.teamliquid.net/blogs/viewblog.php?topic_id=93184 Muirhead While I work on gondolin's interesting problem, here's something along the lines of the problems that have been posted. Definition: A three-legged spider is a the union of three line segments, all meeting at a single point. For example, a T is a three-legged spider. Question: Can you fit uncountably many three-legged spiders in the plane? If not, can you prove it is impossible? EDIT:... Wed, 13 May 2009 03:55:52 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=93184 http://www.teamliquid.net/blogs/viewblog.php?topic_id=69927 Muirhead http://www.theitest.com/newspost/view/55 Blergh... I spent 5 consecutive Mondays working through the night to beat people in this thing, and now after the 6th all-nighter I lose it all by some ridiculously slim margin :/ USAMO in a few days! Mon, 21 Apr 2008 04:59:32 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=69927 http://www.teamliquid.net/blogs/viewblog.php?topic_id=68972 Muirhead Harvard waitlisted me... It seems they rejected or waitlisted many of the top US mathematics students of the year (based on math competitions and Westinghouse). 9 of us are going to MIT :). I can't help but think Harvard shot itself in the foot. Here's a problem easier than the last few I've posted: Given a 1000x1000 chessboard, n squares are colored red and the rest are colored blue. I... Fri, 04 Apr 2008 08:13:59 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=68972 http://www.teamliquid.net/blogs/viewblog.php?topic_id=68675 Muirhead I'm now a solid D+ on iccup but my APM has never been over 90 in a game I've won. I thought it would get better with time but I've been playing for a few months now and it stays put at ~80. I feel I would win a lot more if I were able to move even a little bit faster. Maybe I should just stick to math... the USAMO is only a month away. Speaking of math, does there exist a countable abelia... Sun, 30 Mar 2008 07:10:44 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=68675 http://www.teamliquid.net/blogs/viewblog.php?topic_id=67960 Muirhead It seems I barely made it into the top 100. I'm happy to make it that far as a high school student, but I can't help feeling I would have placed much higher if I hadn't screwed up A1. Anyone else from teamliquid do well? EDIT: For Slithe, my favorite problem of the ones I solved: Let n be a positive integer. Find the number of pairs of polynomials (P(x),Q(x)) with real coefficients suc... Fri, 14 Mar 2008 12:22:56 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=67960 http://www.teamliquid.net/blogs/viewblog.php?topic_id=67686 Muirhead I'm probably just being stupid, but for some reason this seems difficult to me. I'm posting it in a few places on the internet in case someone can help me out. Thanks in advance! Let M be a connected, compact, smooth manifold without boundary. Let V denote the (real) vector space of all smooth functions from M into the real line. Call a subspace H of V invariant if whenever h is in H and... Sat, 08 Mar 2008 15:57:47 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=67686 http://www.teamliquid.net/blogs/viewblog.php?topic_id=66841 Muirhead So it seems I got a 138 on the AMC 12A, missing two early problems because I can't add without a calculator :/. Did anyone else from teamliquid take it? I thought I would devote this entry to some interesting mathematics rather than a problem. All of us know how to solve quadratic equations, and if you know Galois theory you know it is impossible to solve a quintic. Recently I saw a ver... Wed, 20 Feb 2008 11:28:16 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=66841 http://www.teamliquid.net/blogs/viewblog.php?topic_id=65798 Muirhead This one has many solutions, a few of which are rather amazing in my opinion. Suppose O,V, and W are three circles in the plane, none of which intersect each other and all of which have different radii. Given any two of the three circles, there will be exactly four lines tangent to both circles. Two of those lines will not intersect the segment connecting the centers of the two circles. ... Tue, 29 Jan 2008 21:24:48 +0900 http://www.teamliquid.net/blogs/viewblog.php?topic_id=65798