Hello! Once again I come here looking for help from you guys. Well, I have a big equation and I need to simplify it the most I can. I have the following...
Hi, t can be factored out of the top and bottom of the RHS and then canceled, but I woudn't do that right away. Before going any further, can you give us some...
I have to agree that this doesn't look like it can be correct for a physical situation, because dimensions don't seem to match. BTW, if I enter this into...
Dear John, Tank you for replying so quickly. To the first question, the answer is yes. x, v, t, and c stand for distance, velocity, time and the speed of...
In a message dated 1/1/2007 3:39:06 PM Central Standard Time, ... My first suggestion is to write the letters all in the same order, e.g., alphabetically, so...
Hey Lucas, Show us how you got this equation. There is a mistake in its derivation. There is no point to simplify it because its dimensions are inconsistent,...
Fill a 11 x 15 rectangle with squares of integer sides such that no two squares share a full side. Hint: No two squares of the same size will be touching. John...
Here's what I got: A - 5x5 B - 4x4 C - 6x6 D - 1x1 E - 3x3 AAAAABBBBCCCCCC AAAAABBBBCCCCCC AAAAABBBBCCCCCC AAAAABBBBCCCCCC AAAAADEEECCCCCC CCCCCCEEECCCCCC ...
Very good. How did you do it? According to my source an 11x15 is the smallest rectangle for which this can be done. The next smallest ones are 12x18 and 15x17...
I realized that, given the rule that no two squares share a full side, the only way to fill the short dimension was with squares of 6 and 5. I started by...
Suppose M is an n*n invertible matrix with distinct eigenvalues. Show that there exist a, n*n matrix R such that e^R = M. (e power R equals M) [Non-text...
... Hints: [] Could you construct R if M were diagonal? [] Can you diagonalize M? [] How does this help? By the way, if det(M) < 0 (the number of negative...
Sory, Icant understand. e^R = I + R + 1/2! R^2 + 1/3! R^3... If R is diagonalizable and R=XDX^{-1} (X contains eigenvectors and D is the diagonal matrix of...
... You know *M* is diagonalizable, not R, but that's not serious. Your observations imply it's enough to find D (and X). You're almost there if you write M =...
... and ... of ... Remember ... money by ... one ... b) To consider bets of n units other than 5 units we first need to decide what to do when there is less...
I tried to solve it manually and eventually wrote a computer program. (I was afraid it couldn't be solved computationally in a reasonable time but it seems to...
Thanks. The 12x18 and 15 x 17 and your solution are unique and also have the same symmetry (under 180 rotations) but that's not necessarily true in general for...
The Wythoff Array ([url] http://www.research.att.com/~njas/sequences/A035513[/url]) is a square array of Fibonacci like sequences T(i,j) = T(i,j-1) + T(i,j-2) ...
i found this persons profile on limewireand morpheus i think it involves all yall http://www.jason-shields.com i found a video of a perpetual motion machine...
Math Updates What is Googol? Estimate the wheat in last square of chess Rules of divisibility for a counting number N See The Beauty of Maths! …………....
Hi, This occurred to me while channel surfing over one of those poker games on TV. The game is no limit 5 card draw Jacks or better to open. You are the 5th...
... number. ... Suppose the base 25 number has n digits. It will be sufficient to solve this problem if I prove that A=B, where A=3*(1+25+25² + … + 25^n) ,...
Hi, I found this to be cute. ... This has piqued my imagination. Why didn't our schools require memorization of the numerical position of the letter when we...
Unless you're hoping for a straight flush (5-high or a royal Ace- high) or four of a kind using your original kicker, or dumping one ace and getting a full...
Having problems with message search?
Fill out this form to ensure your group is one of the first to be migrated to the new message search system.
