― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 17:26 (twenty-one years ago)
― Ian John50n (orion), Tuesday, 30 November 2004 17:28 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 17:29 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 17:30 (twenty-one years ago)
― Ian John50n (orion), Tuesday, 30 November 2004 17:31 (twenty-one years ago)
KEKEKEKE^____^
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 17:32 (twenty-one years ago)
― Ian John50n (orion), Tuesday, 30 November 2004 17:36 (twenty-one years ago)
― Ian John50n (orion), Tuesday, 30 November 2004 17:37 (twenty-one years ago)
― Big Baby Bingo (Chris V), Tuesday, 30 November 2004 17:38 (twenty-one years ago)
ihttp://hobbes.ncsa.uiuc.edu/Pics/Darmstadt/algorithm.gif
― Ian John50n (orion), Tuesday, 30 November 2004 17:39 (twenty-one years ago)
― Maria (Maria), Tuesday, 30 November 2004 17:40 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 17:40 (twenty-one years ago)
― TOMBOT, Tuesday, 30 November 2004 17:43 (twenty-one years ago)
― TOMBOT, Tuesday, 30 November 2004 17:44 (twenty-one years ago)
― Big Baby Bingo (Chris V), Tuesday, 30 November 2004 17:45 (twenty-one years ago)
― peter smith (plsmith), Tuesday, 30 November 2004 17:46 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 17:47 (twenty-one years ago)
one down!
― Ally C (Ally C), Tuesday, 30 November 2004 17:48 (twenty-one years ago)
― peter smith (plsmith), Tuesday, 30 November 2004 17:50 (twenty-one years ago)
also, I'm probably going to renounce it if I can get into a grad program for urban planning.
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 17:52 (twenty-one years ago)
― TOMBOT, Tuesday, 30 November 2004 17:53 (twenty-one years ago)
― Jesus Christ, Paraplegic (Mark C), Tuesday, 30 November 2004 17:56 (twenty-one years ago)
― Maria (Maria), Tuesday, 30 November 2004 18:22 (twenty-one years ago)
― Andrew Farrell (afarrell), Tuesday, 30 November 2004 18:25 (twenty-one years ago)
http://mathworld.wolfram.com/mimg2568.gif
― Ken L (Ken L), Tuesday, 30 November 2004 18:47 (twenty-one years ago)
― Martin Skidmore (Martin Skidmore), Tuesday, 30 November 2004 18:55 (twenty-one years ago)
― Dale Panopticalis (cprek), Tuesday, 30 November 2004 18:59 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 19:10 (twenty-one years ago)
― Ken L (Ken L), Tuesday, 30 November 2004 19:14 (twenty-one years ago)
The physicist's proof: 3 is a prime, 5 is a prime, 7 is a prime, 11 is a prime, 13 is a prime, 9 is an experimental error.
The engineer's proof: 3 is a prime, 5 is a prime, 7 is a prime, 9 is a prime,...
― Ken L (Ken L), Tuesday, 30 November 2004 19:36 (twenty-one years ago)
― Jeff Wright (JeffW1858), Tuesday, 30 November 2004 20:47 (twenty-one years ago)
― MindInRewind (Barry Bruner), Tuesday, 30 November 2004 22:04 (twenty-one years ago)
― Ken L (Ken L), Tuesday, 30 November 2004 22:07 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 22:08 (twenty-one years ago)
An economist, an engineer, and a physicist are marooned on a desertedisland. One day they find a can of food washed up on the beach andcontrive to open it. The engineer said: "let's hammer the can openbetween these rocks". The physicist said: "that's pretty crude. We canjust use the force of gravity by dropping a rock on the can from thattall tree over there". The economist is somewhat disgusted at thesedeliberations, and says: "I've got a much more elegant solution. All wehave to do is assume a can-opener."
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 22:10 (twenty-one years ago)
Three scientists, a physicist, a mathematician and an economist, are stranded on an island. A can of beans washes ashore. The three scientists are excited because they have not eaten in days. Then they realize they have no way to open the can. The physicist exclaims, “Let’s build a fire. We can heat the can until it explodes.” The mathematician then chimes in. “Excellent idea! Based on the geometric structure of the can, we can calculate the optimal angle at which to place the can so the contents will be expelled into this bowl.” Finally, the economist says, “Those are both excellent ideas, but complicated. I have a much simpler solution: Let’s start with the assumption that we have a can opener …”
(xpost, I see there are multiple versions of it)
― MindInRewind (Barry Bruner), Tuesday, 30 November 2004 22:11 (twenty-one years ago)
― Ken L (Ken L), Tuesday, 30 November 2004 22:13 (twenty-one years ago)
― Ken L (Ken L), Tuesday, 30 November 2004 22:15 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 22:15 (twenty-one years ago)
― Sanjay McDougal (jaymc), Tuesday, 30 November 2004 22:20 (twenty-one years ago)
― Sanjay McDougal (jaymc), Tuesday, 30 November 2004 22:21 (twenty-one years ago)
― TITS.JPG (ex machina), Tuesday, 30 November 2004 22:21 (twenty-one years ago)
I think it actually helps to speak a hard foreign language, especially Hungarian. Warms up your brain for those knotty problems.
Favorite Portrayals of Math-men in the Arts:Pie-in-the-sky-can't-draw-a-straight-line Mathematicians- The Laputans in Gullivers's TravelsMacho Mathematician: Dustin Hoffman in Straw DogsDisaffected Dropout Mathematician: the French Teenager in Bresson's The Devil, ProbablyTuxedoed, Sophisticated Mathematician: the guy who never loses at Nim in Last Year at MarienbadSpouse Of or Also-Ran Mathematician: The narrator of The Mind-Body Problem
― Ken L (Ken L), Tuesday, 30 November 2004 22:23 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 22:23 (twenty-one years ago)
― caitlin oh no (caitxa1), Tuesday, 30 November 2004 22:29 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 22:51 (twenty-one years ago)
― Ken L (Ken L), Tuesday, 30 November 2004 22:51 (twenty-one years ago)
― caitlin oh no (caitxa1), Tuesday, 30 November 2004 22:53 (twenty-one years ago)
the rest of the world, however ... well ...
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 22:54 (twenty-one years ago)
― caitlin oh no (caitxa1), Tuesday, 30 November 2004 23:10 (twenty-one years ago)
― trigonalmayhem (trigonalmayhem), Tuesday, 30 November 2004 23:19 (twenty-one years ago)
― Curt1s St3ph3ns, Tuesday, 30 November 2004 23:49 (twenty-one years ago)
― Curt1s St3ph3ns, Tuesday, 30 November 2004 23:50 (twenty-one years ago)
― caitlin oh no (caitxa1), Wednesday, 1 December 2004 00:00 (twenty-one years ago)
― ailsa (ailsa), Wednesday, 1 December 2004 00:09 (twenty-one years ago)
um, just kidding. they don't care.
― caitlin oh no (caitxa1), Wednesday, 1 December 2004 01:18 (twenty-one years ago)
― Ken L (Ken L), Wednesday, 1 December 2004 01:33 (twenty-one years ago)
― youn, Wednesday, 1 December 2004 02:32 (twenty-one years ago)
― caitlin oh no (caitxa1), Wednesday, 1 December 2004 02:33 (twenty-one years ago)
http://mathworld.wolfram.com/SingularValueDecomposition.html
― caitlin oh no (caitxa1), Wednesday, 1 December 2004 02:45 (twenty-one years ago)
Youn, the text mining software I support uses SVD as a technique to reduce the dimensions of a matrix so that the (following) analytical routines have an easier job of analyzing/summarizing the matrix. It's somewhat analagous to principal components and factor analysis, which are old standbys of multivariate statistics. I can probably pull up some references if you want, but they'd probably be pretty technical. I must admit I haven't waded through much of our documentation on SVD.
(Interesting to see someone using SVD in an info retrieval/search context; my employer thinks we're the only text mining vendor using it.)
― Jeff Wright (JeffW1858), Wednesday, 1 December 2004 02:57 (twenty-one years ago)
― scott seward (scott seward), Wednesday, 1 December 2004 03:04 (twenty-one years ago)
Suppose you need to do something with a matrix and it has an eigenvalue decomposition. Typically you will associate the eigenvalues of largest magnitude with an amount of "energy" and keep say the top ten ("high energy mode") of the those along with their associated eigenvectors and throw out the rest ("low energy modes") , saving on storage space and compute time.
Now not every matrix has an eigenvalue decomposition. Which do? Normal matrices, which are those matrices that commute with their adjoints. (See Halmos (pr. Hal-mowsh) for readable proof. But every matrix A (possibly subject to some condition I can't remember) does have an SVD. The proof has something to do with successively finding v such that [Av,Av] is maximized, if I remember correctly. In this case you just keep the biggest singular values and vectors and throw out the rest, again saving on storage space and usually on compute time.
Now go back and read the mathworld link, if you haven't already.
― Ken L (Ken L), Wednesday, 1 December 2004 03:13 (twenty-one years ago)
Oh man. II, III, and VI are especially taking me back.
― Drama Queen Wannabe (Dee the Lurker), Wednesday, 1 December 2004 05:15 (twenty-one years ago)
― Jimmy Mod always makes friends with women before bedding them down (ModJ), Wednesday, 1 December 2004 05:50 (twenty-one years ago)
― TITS.JPG (ex machina), Wednesday, 1 December 2004 06:07 (twenty-one years ago)
― Mr Noodles (Mr Noodles), Wednesday, 1 December 2004 06:22 (twenty-one years ago)
― Andrew Farrell (afarrell), Wednesday, 1 December 2004 08:26 (twenty-one years ago)
make up your own joke mechanicals to fit on the front of that.
― Jaunty Alan (Alan), Wednesday, 1 December 2004 09:49 (twenty-one years ago)
― RickyT (RickyT), Wednesday, 1 December 2004 10:56 (twenty-one years ago)
Upon discovering the fire the mathmo lights a match and drops it in a glass of water, then goes to bed happy in the knowledge that a solution exists.
― robster (robster), Wednesday, 1 December 2004 10:59 (twenty-one years ago)
― toby (tsg20), Wednesday, 1 December 2004 13:47 (twenty-one years ago)
― Jesus Christ, Paraplegic (Mark C), Wednesday, 1 December 2004 14:03 (twenty-one years ago)
Anyway, this meddling in the material has nothing to do with mathematics.
― Andrew Farrell (afarrell), Wednesday, 1 December 2004 14:08 (twenty-one years ago)
I would be interested in an analogy that explains what you have to do and what the three matrices and their rows and columns represent.
I don't know what eigenvalues are. I don't know enough to understand the mathworld definition without endless backtracking.
― youn, Wednesday, 1 December 2004 15:52 (twenty-one years ago)
― Emilymv (Emilymv), Wednesday, 1 December 2004 15:53 (twenty-one years ago)
an eigenvalue is a scalar quantity that replaces the effect of the matrix. like, say you have a vector x and a matrix A. if lambda is an eigenvalue of A, Ax=(lambda)x.
to get eigenvalues, you make a matrix called (lambda)I-A, find it's determinant, and solve det((lambda)I)-A for lambda.
the singular values are the reciprocals of the non-zero eigenvalues, you need those to form the middle matrix of the SVD.
do you have some kind of computer algrebra system like mathematica? it should be able to do SVD for you, i think.
― caitlin oh no (caitxa1), Wednesday, 1 December 2004 16:30 (twenty-one years ago)
― TITS.JPG (ex machina), Wednesday, 1 December 2004 16:39 (twenty-one years ago)
― MindInRewind (Barry Bruner), Wednesday, 1 December 2004 16:47 (twenty-one years ago)
― TITS.JPG (ex machina), Wednesday, 1 December 2004 16:58 (twenty-one years ago)
can anyone help me out with series solutions near ordinary and singular points?
― lemin (lemin), Wednesday, 22 December 2004 02:07 (twenty-one years ago)
― MindInRewind (Barry Bruner), Wednesday, 22 December 2004 02:12 (twenty-one years ago)
― Ken L (Ken L), Wednesday, 22 December 2004 02:12 (twenty-one years ago)
― lemin (lemin), Wednesday, 22 December 2004 02:17 (twenty-one years ago)
Just kidding? Boyce and DiPrima is the textbook? Did he stick to the text? That's not too hard a book. Anyway, I've got to go, but MindInRewind is a nice guy so I leave you in good hands.
― Ken L (Ken L), Wednesday, 22 December 2004 02:24 (twenty-one years ago)
― lemin (lemin), Wednesday, 22 December 2004 02:29 (twenty-one years ago)
But seriously, I can't possibly be any help to anyone taking these courses now. I literally did take ODE ten years ago.
― MindInRewind (Barry Bruner), Wednesday, 22 December 2004 02:56 (twenty-one years ago)
― MindInRewind (Barry Bruner), Wednesday, 22 December 2004 02:59 (twenty-one years ago)
― caitlin oh no (caitxa1), Wednesday, 22 December 2004 03:37 (twenty-one years ago)
Sorry we weren't of more help, lemin. I think I have that book in my office at work. If you still have questions tomorrow, try me. I only took ODE five years ago and had to pass a test on it three years ago, so I probably remember a little more. Next time give a little lead time and maybe I can help more.
― Ken L (Ken L), Wednesday, 22 December 2004 07:30 (twenty-one years ago)
― lemin (lemin), Wednesday, 22 December 2004 08:27 (twenty-one years ago)
― Leeeeeee (Leee), Friday, 29 July 2005 06:51 (twenty years ago)
I assume that means I didn't get in.
― Masonic Boom (kate), Friday, 29 July 2005 06:57 (twenty years ago)