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    Struggling with a second-order differential equation

    Not sure what you mean by initial conditions and having a complete statement of the DE. I don't know what you mean by the general solution the differential equation, I haven't started University and my knowledge of differential equations is limited to first-order differential equations. I...
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    Any Cryptographers out there?

    When does a code become decipherable? Surely, given a finate number of data points (i.e. cipertext) there is an infinite number of solutions to it? What information needs to be known for it to be breakable?
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    Struggling with a second-order differential equation

    Hey, For my Physics coursework I'm trying to show how the equation to describe simple harmonic motion, this is where I'm up to now: [Broken] x displacement; t is time; k is spring constant; m is mass. A is an unknown constant; b is an...
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    Coursework on Properties of Aluminium

    Hey, I'm doing some coursework on the properties of aluminium and why aluminium is a good material for computer cases. Now, in the coursework I must have a section on some sort of calculation but am clueless as to what calculation I could do (i.e. if you was doing nylon for a fishling line...
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    Let a thousand guilty men go to save 1 innocent person

    He would be found guilty, the 1,000 felons will stay locked up He will be found not-guilty, the 1,000 felons will be released into the public Is this right? Surely it should be: He would be found guilty, the 1,000 felons will be released into the public He will be found not-guilty, the 1,000...
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    Mathematica Mathematical formula of a human being

    I believe this is possible (though, despite my lack of knowledge of it, I think it relies on the string theory and it's potential to be able to use it to predict what happens sub-atomically) though terribly difficult.
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    Losing confidence in my ability

    Hey, I've applied to do Maths for 2006 entry and have received an offer from one university and two interviews (one from a really good university), however, I am feeling underconfident in terms of my ability. I've been trying to learn elementary number theory but am having trouble...
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    Can Artificial Intelligence ever reach Human Intelligence?

    I believe one day AI will become far more powerful than the human brain. I cannot explain why I believe this with words, I just think that, given enough time, it will happen.
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    Fibonacci Phi - The Golden Ratio

    Yeah e is much more fascinating, it appears in all sort of places. Most amazingly is places such as expotential growth and when you differentiate logorithmic functions. I suppose those two are similar but it's still amazing. sin72/sin36 = Phi 2sin54 = Phi These are things I found out...
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    Beginning Number Theory

    Hey, I'm interested in Number Theory and have seen a few simple proofs/concepts related to Number Theory but at moment I have no other reference. Could somebody recommend me a Number Theory which will teach it as it's taught when you start university. I've done an A-Level in Maths in...
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    A-Level Project

    Hey, I'm currently studying Maths, Further Maths, Physics and Computing A-Levels in the UK (it's high school for any Americans) and in Physics we need to do coursework on what we want, given a few limitations. The topic I do in my coursework needs to be testable in an average college (i.e...
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    Typesetting Problems

    Thanks for the reply, what you posted enabled me to be able to do a lot but it's not my most preferred layout, is this possible? [Broken] The lines just show how I would prefer it to be aligned. In particular I would want the equation...
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    Typesetting Problems

    Hey, I'm trying to learn how to use LaTeX and while I think it's easy how to form equations and symbols, the thing I find most difficult is laying things out how I'd prefer. I wanted it to look like this but couldn't work out how to do it, if anybody has any tips, examples, tutorials or...
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    Introducing LaTeX Math Typesetting

    T = \frac{1}{f} = 2 \pi \sqrt \frac{l}{g}
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    Prove a^3+b^3+c^3>=3abc

    Although this is slightly off-topic I don't how: a^4 + b^4 + c^4 + d^4 === 4abcd Let: a = 1 b = 2 c = 4 d = 7 1^4 + 2^4 + 4^4 + 7^4 = 2674 However: 4*1*2*4*7 = 224 I'm confused :S