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  1. Replies
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    we use this idea for the second part of your...

    we use this idea for the second part of your question to show

    http://161.58.186.97/attachment.php?s=&postid=650462


    hope this helps
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    The point about e is that ...

    The point about e is that

    http://161.58.186.97/attachment.php?s=&postid=650460

    e^x is the only function that differentiates to make itself, which makes it very important in solving...
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    3 + (-3) = 0 so as anything * 0 = 0 3 * (3...

    3 + (-3) = 0

    so as anything * 0 = 0

    3 * (3 + -3) = 0 = (3 + -3) * -3


    multiplying out
    (3 * 3) + ( 3 * -3) = ( 3 * -3) + ( -3 * -3)
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    The book deals with the phillosophers stone from...

    The book deals with the phillosophers stone from alchemy, which turns metal into gold.

    I think the reason that the Americans changed the title is that "Philosophers Stones" is also a term used for...
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    This is Pissing me off

    Can anyone remember the proofs of these Identities?


    Sin(a+b) = Cos(a)Sin(b) + Sin(a)Cos(b)
    Cos(a+b) = Cos(a)Cos(b) - Sin(a)Sin(b)
  6. Thread: Three's

    by Sam Finch
    Replies
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    1,585

    Hmm, Seems I didn't write the proof out very well...

    Hmm, Seems I didn't write the proof out very well at all. Here's a revised version.




    And let that be a lesson to all of you who post without reading what you've written.

    Guv and destined...
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    Forgot to attatch

    Forgot to attatch
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    I don't think anyone will ever understand...

    I don't think anyone will ever understand transfinite numbers, mathematicians just learn to accept the axioms and understand their implications. What happens is that when you first learn the rules...
  9. Thread: Three's

    by Sam Finch
    Replies
    45
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    1,585

    I got my statement a bit mixed up, I've corrected...

    I got my statement a bit mixed up, I've corrected it now.
  10. Thread: Three's

    by Sam Finch
    Replies
    45
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    1,585

    Beachbum, The proof of Simon's original...

    Beachbum,

    The proof of Simon's original statement is as follows.

    consider a string of n digits, what proportion of them contain the number 3?

    we assign F(n) to be the proportion of strings...
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    Actually you've provided the first half of a very...

    Actually you've provided the first half of a very nice proof that 0.999 in base 10 is equal to 0.jjjjjj... in base 20. You just got some sums wrong.



    0.999...(Base10) =

    (Base10) 0.9 ...
  12. Replies
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    My guess is stand still. Then only your head and...

    My guess is stand still. Then only your head and shoulders get wet, If you move around your front gets wet but your head and shoulders don't get any dryer.
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    An extra atatchment

    An extra atatchment
  14. Replies
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    662

    Chrisf has got it, and it's not that hard to...

    Chrisf has got it, and it's not that hard to prove it.

    Say we have a game G(n) where there are n+1 bets remaining and you have not lost yet (we do it this way so that G(0) is the trivial game...
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    Thanks parksie. I didn't realise yu could do...

    Thanks parksie.

    I didn't realise yu could do that for classes.
  16. Replies
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    Friend Functions in Namespaces.

    I'm having a bit of a declarations Problem and I can't seem to get the right order of declarations.

    I have a class, "DisplayTree" which represents various things to be drawn on an HDC.


    The...
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    RSA, Big Primes.

    I'm interested in using a variant on RSA for security in distributing some files.


    The files only run using a viewer program, and are purchased over the web.


    The way I'm thinking of...
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    the way this works is that -1 in binary is...

    the way this works is that -1 in binary is 11111111.

    and for any binary number x x + ~x = 11111111.

    because for any bit in x, the corresponding bit in ~ is the opposite, so if the x bit is 1...
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    The way to do this is to find a polynomial in y...

    The way to do this is to find a polynomial in y for which the line crosses the circle at it's roots, eg

    http://161.58.186.97/attachment.php?s=&postid=413425

    we now need to find the values of k...
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    .http://161.58.186.97/attachment.php?s=&postid=378...

    .http://161.58.186.97/attachment.php?s=&postid=378938
    use the sequence to evaluate ln(x/(2^n)), although it's an invinite series it converges pretty quickly so you only need to do the first 10-20...
  21. Replies
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    There is such a thing in football, it's called a...

    There is such a thing in football, it's called a shoulder barge, basicly if someone's got the ball you can hit them off it with your shoulder (it has to be shoulder to shoulder though, it's not used...
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    Thanks a lot, that looks really helpful.

    Thanks a lot, that looks really helpful.
  23. Replies
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    Cayley-Hamilton Theorum

    Does anyone know the proof of Cayley-Hamilton Theorum? (That a matrix always satisfies its Characteristic equation) or where I can find one?

    Thanks.
  24. Thread: Michel Owen

    by Sam Finch
    Replies
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    491

    Poll: Michel Owen

    Vote now.
  25. Thread: Silk

    by Sam Finch
    Replies
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    445

    Beer.

    Beer.
  26. Replies
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    There are reconstructionist faiths which still...

    There are reconstructionist faiths which still worship the old gods, mainly based on the work of a guy called Aleister Crowley, the most prominent one is called Wicca, which is a revival of the ways...
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    yeah, a fraction a/b can be expressed as a...

    yeah,

    a fraction a/b can be expressed as a nonterminating decimal if and only if b can be expressed as an integer power of 2 multiplied by an integer power of 5.
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    Here's a difficult one. What does the cash...

    Here's a difficult one.

    What does the cash register say on the opening sequence of every Simpson's episode.


    Clue:

    It's not NRA-4-Ever
  29. Thread: I spy

    by Sam Finch
    Replies
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    580

    I've actualy forgotten what it was now, but I'm...

    I've actualy forgotten what it was now, but I'm pretty sure it wasn't any of those things. PS Harry's a sick bastard.
  30. Thread: I spy

    by Sam Finch
    Replies
    17
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    580

    It's not a racoon, or any form of rodent, but it...

    It's not a racoon, or any form of rodent, but it is bigger than a bread box.
  31. Thread: I spy

    by Sam Finch
    Replies
    17
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    580

    I spy

    With My little eye, something beginning with r.
  32. Replies
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    nope, that'd be too easy.:(

    nope, that'd be too easy.:(
  33. Replies
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    This is a bit of a wierd one, I'm looking for...

    This is a bit of a wierd one,

    I'm looking for a function that will convert a complex number to its real and imaginary parts, using only complex number operations.


    So if you imagine I had a...
  34. Thread: Easter Joke

    by Sam Finch
    Replies
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    330

    Poll: What do you get if you pour boiling water down a...

    What do you get if you pour boiling water down a rabbit hole?






    Hot cross bunnies!!!!
  35. Replies
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    You don't need to run the compiler on the OS,...

    You don't need to run the compiler on the OS, just create the exe files and the boot disk. you don't need anything on the other computer at all, just your OS.
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    No, you can buy it from microsoft.

    No, you can buy it from microsoft.
  37. Replies
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    you could write the compiler in VB if you wanted....

    you could write the compiler in VB if you wanted. It just has to write exe files.
  38. Replies
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    Took me a couple of minutes. I got Ked's answer...

    Took me a couple of minutes. I got Ked's answer rotated anticlockwise 90 degrees.


    Next question, how many solutions are there?
  39. Replies
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    Take 1 from the first pile, 2 from the second 3...

    Take 1 from the first pile, 2 from the second 3 from the 3rd and so on. weigh all those coins together and you will get 55 whole grams and x*0.1 grams left over. the fake coins are in the xth pile.
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    I never daid you did, I merely said that people...

    I never daid you did, I merely said that people would thank you for doing it.
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