Dave

Ack! You don't seem to be getting the idea. Whilst we all agree that it's perfectly acceptable to define something like [imath]\lim_{x\to\infty} \frac{1}{x}[/imath], it's not acceptable to define things like [imath]\frac{1}{\infty}[/imath]. [imath]\infty[/imath] certainly isn't an element of the set of real numbers. It's just a concept, nothing more.

To burn to a full 90 minutes you're going to have to use overburning to access the last 100mb of the disk. I can't find a good link atm, but considering using something like Nero to do this.

One of the more useful applications of trigonometry outside geometry is for evaluating integrals in calculus. Basically, integrating a function allows you to work out the area that lies under a line. But when you're trying to work out something like: [math]\int \frac{1}{1+x^2} \, dx[/math] it gets a bit hard You can, however, use a trigonometric identity to work this integral out: [imath]\tan^2(\theta) + 1 = \sec^2(\theta)[/imath]. Asides from this, there's many other applications of trig in other fields of mathematics. You just need to take a closer look

The LaTeX package has been updated to support mhchem 2.0. You can use the [ce] [/ce] tags to encapsulate anything you want to write. The classic example: CO2 + C -> 2CO: [ce]CO2 + C -> 2CO[/ce] Have fun

Some other things; we lost a few posts yesterday because of the db transfer; if you posted anything about two hours before the original forums shut down, the posts will probably have been lost. Sorry about that. Also, the Arcade is broken for the time being. Should be being fixed soonish.

Yes and no. The original Celeron was based upon the PIII architecture, but since the P4 came out they've been using that instead. So it depends which Celeron you're talking about They're certainly not the same as a PIII/P4 though. Although they're built off of the same foundations, Celerons are designed to be a low-budget chip (and hence you don't get all of the features that you'd expect to find on the P3/P4).

Yes, I'll sort that out at some point. I won't be able to do it for the next couple of weeks due to exams. I'll post the manual for the diagxy package on here today or tomorrow, but it seems that it's not available online in PDF format (I'll have to generate it )

Fixed that. Also fixed a couple of bugs with IE. The layout works for me under IE5.5, IE6, Firefox and Mozilla, so I don't think anyone should have many major issues

First you need to define the imaginary number i. Basically, i is just a number such that [imath]i^2 = -1[/imath]. Then a purely imaginary number is a number of the form [imath]ni[/imath] where n is just some real number. The complex numbers are numbers of the form [imath]m+ni[/imath] where this time you have some other number m in the reals. Purely imaginary numbers aren't all that interesting. You can't do much with them (closure under multiplication, for one) but the complex numbers can exhibit some rather rich properties.

Moved to the Chemistry forum; seems more appropriate

Indeed we are. DNS got updated about 3 hours ago, so it should reach everyone in about 3-6 hours time.

No - it's a bar graph It might be possible for a bar chart to be represented as a matrix, although I don't see how that could be useful at all. Sure: [math]I_4 = \left( \begin{array}{cccc} 1 & 0 & 0 & 0\\ 0 & 1 & 0 & 0\\ 0 & 0 & 1 & 0\\ 0 & 0 & 0 & 1 \end{array}\right)[/math] If time was denoted by some variable [math]t[/math], then sure, why not? For instance, the matrix: [math]\left( \begin{array}{cc} t & 0\\ 0 & \sin(t) \end{array}\right)[/math] is dependent upon time. Matrices are in fact quite important/have a role in solutions of systems of ordinary differential equations - a lot of these are certainly dependent upon time. The major role of matrices that springs to mind for me has to be something like digital signal processing. Although I'm not technically proficient to tell you how matrices play a part in this, I do know that they're very important.

Now that the server change is complete, LaTeX should be back up (as is evident from the graphics above). Unfortunately there's a couple of speed issues; you just need to be a bit patient when waiting for a thread to load that has a significant amount of LaTeX. I will get this sorted out soon, promise We also have some new changes: v2.5 - Fixed the issue with the WYSIWYG editor. It should work fine now. - I've introduced 3 new tags: math: Renders normal LaTeX, for instance: [math]\int_a^b x^2 \, dx[/math] imath: Renders inline math: for instance [imath]\int_a^b x^2 \, dx[/imath]. Useful for inline text, obviously. ce: Renders chemistry equations. [ce]H2O ->T[above] CO2[/ce] diag: Renders commutative diagrams, using diagxy. For example: [diag]\cube|arlb|/ >->` >->`>`>/<1000,1000>[A`B`C`D;f`g`h`k]% (400,400)|arlb|/>`>`>`>/<900,900>[A^{\prime}`B^{\prime}`C^{\prime}`D^{\prime};f^{\prime}`g^{\prime}`h^{\prime}`k^{\prime}]% |rrrr|/<-`<-`<-`<-/[\alpha`\beta`\gamma`\delta][/diag] - Fixed the pop-up window to look nicer. Hope you enjoy the changes

You might have noticed that we've changed servers We also have a new style. I'm aware that there's a couple of issues with IE which I'm going to try and resolve soon, but if you notice anything else, then please PM me with your browser information and what the problem is. Until then, you can set the default style back to the old one in the User CP. Enjoy the new style; feedback is much appreciated.

I'm hoping that we should be able to move servers within the next 2-3 days, and with it a new and improved version of the LaTeX system (I've enabled things like commutative diagrams and better chemistry support). It is coming, but it's a lot of effort to get everything set up I apologise for the delay.

Hurrah, exam time. I start on Tuesday. I have, in no particular order: 1) Metric spaces - it's more to do with topology, but oh well. This could be nasty. 2) Differentiation - sounds easy, but it's all to do with differentials and derivatives of functions over Rn. 3) Introduction to Fluids - the notes are really bad for this lecture course... I may fail this one 4) Number Theory - Don't know what they're going to ask. 5) Variational Principles - the calculus of variations. I'm feeling confident about this one. 6) Vector Analysis - All to do with curl, div, grad, Stokes' theorem, etc. Plus, a little bit of complex analysis just for kicks. 7) Algebra II - rings, ideals, domains, Jordan basis, abelian groups, etc. Considering how badly Algebra I went, I don't have my hopes up. That's my lot. Not looking too good so far

That's the idea. You get a constant stream of ionized particles ejected out of the back of the engine. So the principle is the same as the conventional rocket, just a lot slower.

I've been playing around with it for quite a while now. I'm still finding that docking anything with the ISS is a complete pain in the ass. I just can't quite seem to sync the orbits up.

Moving this to the algebra forum since it has little to do with classical mechanics.

Come on, give it some thought. The natural numbers arise from intuition - you can have twenty apples, seventeen oranges, etc. Zero is a natural extension of this: I could have no apples. So how do you have "infinite" apples? You can't do it. As for the reciprocal stuff... put it this way. The zero element in a set is an element satisfying a.0 = 0.a = 0 for any a. It's pretty obvious that this will be an element of the reals. "Infinity" is just a concept of getting our heads around limits and other useful things. Don't confuse it with actual elements of sets.

An interesting thing to note is that all 3 of the new consoles coming out are being powered by IBM-manufactured chips. Whilst AMD and Intel chips are quite good, the architecture in the IBM PowerPC chips they're shoving into G5's is rather good. I believe that the chip being used in the Xbox 360 is a PowerPC derivative. PS3's Cell CPU is rather different, though. The only problem with that PowerPC 970 is the massive heat-envelope, which prompted Apple to make their latest systems liquid cooled - hence no PowerBook G5 yet

Please don't type everything in caps - it comes across as being quite rude

I would consider waiting 1-2 months on that front - they're just startng to bring out the Athlon64 X2 (dual core processors) which promise to be quite good.

Quite frankly, the quality of posts in this thread is quite appauling. It's being closed because I don't want this forum turned into a place where people try to disprove the FTA for no good reason. There's a reason it's called "fundamental", you know.

No, I don't. I daresay it's quite long though, so I won't even try to attempt to replicate it here. I doubt I would understand it anyway