tag:blogger.com,1999:blog-10235575.post7987442068266616719..comments2024-02-04T15:48:48.193-05:00Comments on Adventures in Applied Math: The Power of TwosRebeccahttp://www.blogger.com/profile/06927630155994067676noreply@blogger.comBlogger11125tag:blogger.com,1999:blog-10235575.post-63643511609733992732008-04-07T20:57:00.000-04:002008-04-07T20:57:00.000-04:00I couldn't come up with anything good for powers o...I couldn't come up with anything good for powers of two. I'll have to start preparing for the next contest on 3/9/27.<BR/><BR/>Though on a related note, my birthday is 2^2/3^3, but sadly I was not born at 2:56 in the morning to get 4^4 as well.Matt GShttps://www.blogger.com/profile/12754961393566458503noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-32964126463232692302008-04-06T21:29:00.000-04:002008-04-06T21:29:00.000-04:00"We're okay, we're fineBaby I'm here to stop your ..."We're okay, we're fine<BR/>Baby I'm here to stop your cryin'<BR/>Chase all the ghosts from your head<BR/>I'm stronger than the monsters beneath your bed<BR/>Smarter than the tricks played on your heart<BR/>We'll look at it together and we'll take it a part<BR/>Adding up the total of a love that's true --<BR/>Multiply life by the power of two."<BR/><BR/>That's a song by the Indigo Girls called Power of Two, and my favorite instance of powers of two!Laurahttps://www.blogger.com/profile/05276809374974996981noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-33799418687437314382008-04-06T21:08:00.000-04:002008-04-06T21:08:00.000-04:00Though you do realise that in certain mod spaces w...Though you do realise that in certain mod spaces we can write a great deal more integers as powers of 2.<BR/><BR/>I got nothing, I just thought of mod space, and the cyclic group U9 which (for all non-math geeks) is the group made up of all integers relatively prime to 9: {1, 2, 4, 5, 7, 8}. <BR/><BR/>All these numbers can be generated by 2 under multiplication modulo 9: 2^0=1, 2^1=2, 2^2=4, 2^5=5, 2^4=7, 2^3=8.<BR/><BR/>I geek. I like groups.lost clownhttps://www.blogger.com/profile/02751161198550585778noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-23901408203130756662008-04-06T17:18:00.000-04:002008-04-06T17:18:00.000-04:00What does Scott's mean? He's a meaner and wont te...What does Scott's mean? He's a meaner and wont tell me. (You told him to ruin my life didn't you??)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10235575.post-62735635159001079222008-04-06T13:48:00.000-04:002008-04-06T13:48:00.000-04:00my father was a twin, my mother was a twin, and I ...my father was a twin, my mother was a twin, and I am a twin.Unknownhttps://www.blogger.com/profile/10592931547442543840noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-55712962449243594092008-04-05T22:22:00.000-04:002008-04-05T22:22:00.000-04:00But then again, and just to be ornery, I'm more pa...But then again, and just to be ornery, I'm more partial to factors of three:<BR/><BR/>Our third child, born 090603 at 9:27 (am), 6'15oz...uh, 19 inches. I tried to stretch her out to 21", then scrunch her up to 18", but the doc was on to me...In spite of missing the 3-sweep, she is one incredible critter, living up to her 3rd-ness by taking no nothin' from no body...like her Mom, (3^2)th child (of 11!), born in the 12th month of '63...Ricohttps://www.blogger.com/profile/05487683170923780972noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-88240771429640990782008-04-05T22:11:00.000-04:002008-04-05T22:11:00.000-04:00So there I am taking Calc II a thousand years ago,...So there I am taking Calc II a thousand years ago, finding infinite series and sums to be mind-bending, tres groovy fun. Don't know if this one converges, but we can bound it by one that I can show does, and so it does. But to what? The mathematician cares not of such trivialities, like the so-called "answer". We've proven there is one, perhaps shown it to be unique, let the peasants waste time determining the actual answer. But still, I wanted to know! So, become a computational scientist, you say, so I did. (Does this mean cs=peasant?)<BR/><BR/>What were we talking about? Oh, yeah, 2^N. So, the "infinite" sum of 1 / 2^N, N=1, ... proof by picture: take a unit square, black out 1/2, then half of that, ie 1/2^2, then half of that, 1/2^3, and so on. Clear to see that the "infinite" sum appropriates 1. Ah, now I can go back to sleep, surfing the universe and infinity...<BR/><BR/>RicoRicohttps://www.blogger.com/profile/05487683170923780972noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-37639365776833536412008-04-05T11:25:00.000-04:002008-04-05T11:25:00.000-04:00My "lucky" number is 2 and Mike's is 8 (2^3)... er...My "lucky" number is 2 and Mike's is 8 (2^3)... er...lame, sorry, but that's all I've got (and it took me a while to find the carat - shows you how often I use it!).Susiehttps://www.blogger.com/profile/08904383997522433608noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-81834036567503545042008-04-05T10:58:00.000-04:002008-04-05T10:58:00.000-04:0011.00100100001111...11.00100100001111...Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-10235575.post-51271284157623205882008-04-04T21:07:00.000-04:002008-04-04T21:07:00.000-04:00Cool! Now I have at least 2^0 contestants ;)(Norm...Cool! Now I have at least 2^0 contestants ;)<BR/><BR/>(Normally in html, you use the tag sup between less than and greater than brackets to designate superscripts, but the comments don't accept that html tag. So use the carat instead.)Rebeccahttps://www.blogger.com/profile/06927630155994067676noreply@blogger.comtag:blogger.com,1999:blog-10235575.post-14735991526927146152008-04-04T20:29:00.000-04:002008-04-04T20:29:00.000-04:00The Toonie! It's the Canadian $2 coin. I know th...The <A HREF="http://en.wikipedia.org/wiki/Toonie" REL="nofollow">Toonie</A>! It's the Canadian $2 coin. I know that's only 2 to the first (how do you do superscripts here?) -- but where would you be without the original? The coin is surfaced with 2 different colours of metal, it has a picture of Elizabeth II on the back, and it's a very handy and encouraging coin. You'll be feeling all poor, nothing but change in your pockets, and then you'll realize you've got $8, easy.Anonymousnoreply@blogger.com