Recent content by andyb177

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    Show that a Gaussian Distribution Corresponds to a CTS random variable.

    Going over my Lecture Notes my Lecturer as Started with Show that a Gaussian Distribution Corresponds to a CTS random variable. Then she has i) Taken the f(x) = [p.d.f] and shown a) f(x) >= 0 for all x member of real numbers. b) Integral over all real numbers = 1 ii) Found the M.G.F then...
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    What does the new integral in surface integral theory represent?

    Watching video http://www.khanacademy.org/video/introduction-to-the-surface-integral?playlist=Calculus at 20.10 the guy introduces the concept of what it means for each part of the surface to have a value of a new function f(x,y,z). Could some one explain what this new integral would...
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    Linear approximations around a given fixed point.

    Yes, have evaluated it. So the Jacobian for each point, a 3x3 matrix filled with constants. Is this the linear approximation? or do I take the det? There was a HINT to find eigenvectors and values and find for a non fixed point and permute the indices?. Still confused as what to do/what I am...
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    Linear approximations around a given fixed point.

    Saw this mentioned, didn't understand what it was or how it would be done. Given the continuous system given by x'1,x'2,x'3 Find the linear approximation for each x* (fixed point) Guessing first of course to find the fixed points. Then find the Jacobian Df for the solved system. What...
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    Equivalent Norms in an infinite vector space?

    Yeap your right, just got my head round the definition, which shows it for a standard norm, but you can replace that for a norm which you want to check for. Thanks alot, apologies for the blatent question.
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    Equivalent Norms in an infinite vector space?

    I mean there exists a c st 1/cmod1(v)<= mod2(v) <= cmod1(v) I think i understand it now, please correct me if I'm wrong if the vector space is of infinite dimensions there isn't a c big enough or there can't exsit a c that can multiply an infinite amount of vector elements?
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    Equivalent Norms in an infinite vector space?

    Is it possible for you to describe why they are equivalent in more detail? I understand the definitions for the norms etc If one is complete then do all equivalent others have to be complete as well?
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    Equivalent Norms in an infinite vector space?

    Can some one explain why not all norms are equivalent in and infinite vector space? Examples/Counter examples? How would you go about proving/disproving this? Any or all of the above or just any help anyone has to offer would be great Thanks
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