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    Accuracy, Fibonacci + Golden Ratio

    I have been curious about this for a while... I'm interested to know if there is any easy way to tell the accuracy of the (n+1)th on the nth term of the Fibonacci series in relation to the golden ratio. I know that as n tends to infinity the ratio tends to the Golden Ratio "Phi" - but is...
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    X with respect to Y?

    Got to choose from 5 different questions to do animation type exercises in Maple. Chose number 5 but we had problems restricting the domain in the 2nd function to the time in the first function. The first function was in the form of y = t +e^t. We decided it was too hard and started on a...
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    X with respect to Y?

    I hope this doesn't get into semantics.
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    X with respect to Y?

    So I can implicitly get one? y' = 1+e^x y'' = e^x y - y'' = x?
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    X with respect to Y?

    ****, stupid mistake of mine :-). I still can't see that helping me at all though :-(.
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    X with respect to Y?

    How do I find X with respect to Y if; Y = X + e^X? If I log it then I get Log Y = Log X + X, if this is the correct step how do I isolise X from here?
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    4Fun:Worst/Best Notations in Mathematics

    A person in my calculus class got upset and stormed out of class because she kept confusing imaginary numbers with vector measurements (use of i in both).
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    Infinity and Probabilities

    Ok I see, thanks for explaining that, I hate probability, the only math I don't really like.
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    Infinity and Probabilities

    I don't get anything from this, it just sounds like semantics.
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    Infinity and Probabilities

    Mmm well the examples I thought of were like, the probability that earth is here tomorrow when I wake up. I'd say that is extremely close to 100%, but as time tends towards infinity the chance the earth still exists dwindles to nothing. Similarly the chance that an asteroid hits earth and...
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    Infinity and Probabilities

    Is it just me or do all high probabilities dwindle to nothing as time approaches infinity and all small probabilities increase to 1 as time approaches infinity?
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    4Fun:Worst/Best Notations in Mathematics

    { \sin^{2} \theta } At one time ages ago I wasn't sure wether it was Sin of the Sin of Theta, or the whole thing squared. Edit: Interesting to note, I've never had any trouble with greek/english letters. But I have had trouble with m/n like matt said, and also r and v. Edit2: Also {...
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    Distribution question

    Multiplication is simply in the case of a*b that there are 'a' many groups of 'b'
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    Distribution question

    a(b+c) just means a times everything in the brackets, or a times b plus a times c. Now if it isn't logical that a*b is ab, and a*c is ac, that a*b + a*c = ab+ac then I don't know what is. Questioning this is like questioning the procedure of multiplication.
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    Function of the graph.

    Bump, 60 views no reply. Is my question too difficult or just silly?
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    Function of the graph.

    y = x+(m/(ax^n+b)+c? I'm trying to find the equation for a graph in which the equation changes for different points. The graph can be made accurate upto 1500, but after that it becomes inacurate for my numbers, using this equation; x+(x*(.8-(\frac{3x}{5000}) or x*(1.80-(\frac{3x}{5000}))...
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    For you maths-people as I'm confused.

    You can't get exactly 1/3 exept through drawing eg. Triangle with two 1cm sided sides and a hypotonuse the Hypotonuse will be exactly = to Sqrt of 2
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