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I need some help with this problem, I'm not sure how to approach this.
The numbers 13413, 39865, 58752, 77639 and 96577 are divisible by 17. Show that the determinant
is also divisible by 17.
Thanks in advance!
This is what I get using Gauss elimination (Sorry, I couldn't figure how to do proper LaTeX code here):
K =A-B
N = B +D
L = C-D
M = K+N+L
Q= K+N
P= N+L
S= K+2N+L
So basically, we have 3 equations and 4 unknowns, since the equations for M,Q,P and S are useless here.
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I came across a site last year that collected links to various free stuff you could get. Unfortunately, I forgot it's name, maybe I should try find it again. I came across the link collection from a site for students, there were loads of these free offers everywhere. Before I found the site, I had a hard time to believe that people would willingly give away stuff like this for free.
I think one company were launching a new product, and before the actual release, they wanted people to try it out, by literally giving a limited amount of them away. You'd have to be fast before they run out! Another gave away free candy, but I was too late for that one, doh =p
If you have some spare time every now and then, it's worth taking a look, and perhaps try it out.
I think this is what you mean by D:
So that, if
We get:
Example (a and b are constants):
Binomials:
With 0, I think you know, but less than 0? Check link above.
Antimatter can't be used as an energy source this way, it's not efficient enough. It costs more energy to produce than we get out from the actual annihilation. It's pointless. Since there's not so much antimatter around, you'd have to create it.
...right. The day magical motors are being produced I'm gonna eat the whole of Scandinavia. Promise
Edit: Found picture
Do you follow all the steps I did?
*Brings the Book of Shadows and prepares his dark ritual*
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C)
Maybe I'll do the inverse later, god I'm hungry But basically, MX=Y, so the inverse is what you'll find in front of Y in X=M-¹Y.
Generally speaking,
The left side is your derivative. Does this help or should I give you some hints?
When you've got the derivative, set it equal to 0 to obtain your equation, then solve for t.
If 9.999... is not equal 10, you should be able to find a number between the two, but you can't.
Zhylliolom, or maybe someone else could explain what happened here, I'm a bit puzzled :
I noticed the geometric sum after that, but I've never worked with double sums before, ever. But does it basically mean that you take the sum over the sum, as in (k=1 to ∞) first and then (n=1 to ∞) over that previous sum?
If so, I learned something new by reading your post
"- Scott, are you dead?"
"- Yes."
"- You liar!"
Well I didn't even have time to install it fully before it crashed. I picked language and *poof* and my computer rebooted. Didn't get the chance to enjoy it's positive aspects one bit : )
I saw there was an add-on for VST's, that's neat because I use them a lot.
Indeed.
BUT, if you manage to pass level 38, please tell me how you did because I'm going nuts on this thing
Start on either side and load up as many grenades as you can, it will bounce to the other side right after it hit either of the top monsters (?).
I know who made this game, it's a friend of an ex-classmate, never thought I'd find it here
Hmm... I think I need to read all this again, now I see why it's called an abstract introduction I think groups, fields and rings will be introduced in about 2-3 years from where I am now, so I don't have to read everything that fast, hehe.
If I had such a revolutionary algoritm in my hands, and only in my hands, I sure wouldn't keep it for myself, it doesn't matter if I'd give up the million dollars. Go talk to a mathematical doctor about it, maybe you're up to something, but most likely you're not.
If you had been reading up on university math, as you claim, the proof Ricky asked you about would've been easy the traditional way. It was one of the first proofs they introduced when I started my first year at university. Actually, a whole lot has been about proving this and that, you'd surely know that math at university level is a whole different game (it's more fun too! )
No, antimatter has opposite electric charge. As far as I know, negative mass has not been confirmed anywhere in physics.
Trance, ambient, chillout, new age, metal, pop; in fact pretty much everything except country
Bands/artists I like in particular are Armin, Solarstone, Matt Darey, Pain, Enya, Origen and Röyksopp.
Favourite song would be Solarstone feat. Jes - Like a Waterfall (Solarstone Deeper Sunrise Mix)
Ahh, one of the Se7en (7) millenium prize problems...
So you plan to solve them all, eh? Best of luck to you, you'll most definitely need it
I'm into Sudoku as well. Actually, that's the only one I can think of being math related. It's getting pretty big around here, it's in the newspaper and there are particular magazines full with puzzles only.
I have some huge integrated sudoku puzzles which I still need to solve, they take like more than a day to solve each
I've never heard of Addoku though, I will most definitely check it out.
I've got responses from bands all over the world, some really good ones too! And yes, it applies to UK as well Devanté
I'm a struggling electronica producer myself, so I know how much artists appreciate free promotion.
Send your songs over, it's still running you know ;] (though I can't upload them to the server yet where the rest of the songs are stored, my ISP is having some strange problems all over town, hope it gets fixed soon)