Recent content by end3r7

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    Vector Calculus: Level curves and insulated boundaries

    Then, errr, isn't that what I wrote?
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    Vector Calculus: Level curves and insulated boundaries

    Need help checking if my reasoning is sound for this. Homework Statement Isobars are lines of constant temperature. Show that isobars are perpendicular to any part of the boundary that is insulated. Homework Equations u(t,\underline{X}) is the temperature at time t and spatial...
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    NASA NASA Scientists Make Magnetic Fields Visible, Beautiful

    http://gizmodo.com/5012347/nasa-scientists-make-magnetic-fields-visible-beautiful http://gizmodo.com/assets/images/gizmodo/2008/06/magnetic_movie_1.jpg
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    Is Identity Death Possible Through Brain Damage?

    Alright, I'll need some help formulating this, since my writing tends to be... well... just not very eloquent and representative of my thoughts. I don't believe in soul, afterlife, or other nonsense. I think our self, our consciousness, is a function of our complex brains. For what...
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    Physics Docs: Recommendations on Cosmology, Astronomy & Theory

    Wow, keep them coming guys! And I hate to hijack the thread, but any documentaries, not necessarily physics but any philosophy, science and mathematics would be most welcome! Thanks a bunch, it's amazing how satellite has nearly 500+ channels and nothing on.
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    Graduate Will humans ever really understand why the universe exists?

    I think we are reading too much into the question, personally (granted we are in the philosophy forum). When I read the thread title, I was thinking along the lines of "How did the universe come about?", essentially origin of the universe stuff, etc. I don't know if we will ever know this...
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    Good Cartoons: Fun and Educational

    The Spectacular Spider-Man is pretty wicked. I used to watch Dexter's Lab, Garfield and Friends, and Cowboy Bebop... but not much else, I don't think.
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    I bet 95% of you will miss this

    Holy ****, that's hilarious.
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    Solving Transcendental Equations (and Laplace Transforms)

    Although I don't like bumping threads, I want to make sure everyone sees this. In particular, I'm really curious to how I would be using Laplace Transforms to solve this problem.
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    Solving Transcendental Equations (and Laplace Transforms)

    Homework Statement Given the equation H'(t) + u H(t - T) = 0 u > 0 Look for solutions of the form e^{rt} Show that these solutions are exponentially damped if e^{-1} > uT > 0 Find uT for which these solutions for r complex are oscillatory with growing, decaying, or constant amplitude. The...
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    Riemmann/Darboux-Integral Question

    Thanks Dick, works perfectly. =)
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    Riemmann/Darboux-Integral Question

    Homework Statement (i) Suppose that F is continuous on [a,b] and \int_a^b FG = 0 for all continuous functions G on [a,b]. Prove that F = 0. (ii) Suppose now that G(a) = G(b) = 0. Does it again follow that F must be identically zero?Homework Equations Let P be any partition of [a,b] Upper...
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    Valid application of Weierstrass Test?

    Well, forget the Weierstrass test then... If one is uniformly Cauchy, wouldn't that make the toher essentially uniformly Cauchy as well?
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    Valid application of Weierstrass Test?

    It would seem so Homework Statement If \sum\limits_{n = 1}^{\inf } {|{f(n,x)}|} is uniformly convergent on [a,b], then is \sum\limits_{n = 1}^{\inf } {{f(n,x)}} uniformly convergent. Homework Equations The Attempt at a Solution I said yes. And just applied the...
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    I badly in yet another uniform convergence problem

    Isn't that simply going to come out to x/2 then? So it should still work correct? (The limit function is not continuous, since it's greater than or equal to 1/2 at 1, and not 0)