CPL.Luke

mowgli the dot can move faster than light, and no information is transfered between the two points faster than c because they are really getting therre information from the laser source which is bound by travel at c.

I've heard good things about thermal crackers that take advantage of nuclear reactors to break up the water molecules

and what were all of these roots tell you? other than that you can raise the square root of two to the square root of two? I don't think that there is any algebraic solution too your equation, I think you would just need a computer run numbers through till it found one that worked

well the problem was given to me in a vector calc text book with the two vectors supplied the first question asked what the angle between the two vectors would be, using the definition of an angle in an n dimensional space the angle would be given by [MATH] \arccos{\left( \frac{\vec{e_n} \dot \sum_{k=1}^n k \vec {e_k}}{\left |{\vec{e_n}}\right| \left|{\sum{k=1}^n k\vec {e_k}\right|}}\right)}[/MATH] when evaluated this will give the the equation I gave initially (with the arccosine left out) and as you take n to infinity you can see what the angle does as the number of dimensions goes to infinity, since the equation converges to zero the angle becomes 90 degrees, which makes sense. matt the sum is a member of R^n as long as n is less than infinity right? and in a limit the number n is never actually infinity so the sum is a member of R^n

Nasa launched a test sattelite into space way back in the nineties that was essentially designed to test how different materials hold up in space, they found that cloth tends to hold up better than metal. I guess the cloth performs so well because it doesn't crack when its hit by space debris, making repairs alot easier to carry out (ducktape anyone)

do you guys think that the 2GB ram upgrade on the macbook pro is worth anything more than bragging rights?

he's using latex, there's a tutorial in the math forum

it is possible it could get a very very very low amount of thrust in a vaccuum as electrons could possibly escape the system and generate a bit of thrust

shmoe good call on the mistake (although what is the real mathmatical difference , the equation is meant to give the angle between the vector [MATH]\sum_{k=1}^n k \vec{e_k}[/MATH] and [MATH]\vec{e_n}[/MATH] as the n dimensional space tends toward an infinite number of dimensions.

the tests are scored 1-5 with 5 being the highest score alot of colleges will accept a 3 however the upper tend to want a 4 in order to give credit. There are two ap calculus tests The AB covers Calc 1 (although it tends to cover the beginning of calc 2 aswell) The BC test covers all of first year calculus, although incase you do poorly on the parts of the test that would be in calc 2 they also give you a score based on the material covered in calc 1, that way you can still get college credit for calc 1 if not both.

from what I understand of the UK's education system the AP test is equivalent to one of your A levels. essentially its a test that says that you've learned everything that would be taught in a freshman college course on the subject and that you should recieve a college credit for having passed the test

well I've long since passed out of my computer phase where I was willing to build my own computers (I used to know every part of a cpu etc.). So I'm looking to get one of the new macbook pro's for the ease of use and the fact that nothing ever goes wrong helps a bit as well.

so I need to get a laptop for college, most of what I'm going to be doing involves mathmatics and physics so I'm wondering what kind of hardware should I get in order to be able to do things on mathmatica and such in a timely manner. Most importantly is processing power important or memory capacity, and in terms of rendering capability for complex graphs and such do I need to worry about the graphics card?

could you also rewrite the series in the equation as 1/3n^3 - 1/3? ^getting the above by taking the integral from 1 -> n

I took the BC and got a 3, 3 subscore although I didn't take the course so I wasn't used to doing everything in a short time frame

^the above doesn't make any sense at all also quantum mechanics rules out predicting the future with perfect certainty, even if you did know everything about the universe you could not predict the future

"You can tell that to Jabba. He may only take your ship. " -greedo

what is godwin's law?

not to mention that in order to beam the power back to earth yhou need a giant microwave reciever that in order to be economical would probably have to recieve several dozen gigawatts of power. SO what do you guys think of having a giant microwave death ray coming out of the sky to deliver your energy?

a white whole was a theorized astronomical object that ejected matter like a black whole absorbed it. It was originally hypothesised to explain quasars.

I remember from the program "walking with dinasaurs" that they have evidence that there were dinasaurs on antarctica 100 million years ago

solar sails can only accelerate away from the sun, for most missions they want to accelerate in all directions, thats why they use the ion thruster. Its rare for an ion thruster to be used for speed (see promethius mission)

it does what they say it does as long as you clean it, there was a problem for a while where it would generate ozone though.

^thats what a lifter does and yes it is very energy inefficient as it accelerates a small mass to a relatively high speed, what you want to do in order to use less energy would be to accelerate a very large mass to a very low velocity. hence a small propeller spinning very fast and hooked up to a 200HP engine on a plane produces less thrust than a very large propeller (spinning slower) thats hooked up to a 200HP engine

in the event of a nuclear strike the only option is to hit back with even more nuclear force. It has to be known as an unspoken rule that if you hit the US with nukes than were going to hit back with more. The same goes for any other country, to do anything less is to invite more attacks.