Recent content by Corribus

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    I The diffusion equation with time-dependent boundary condition

    Hi Fred. Thanks for taking a look. I don't think you're wrong - but (assuming your s is my p) this seems to be equivalent to my solution, which can be shown by substituting exponential functions for the sinh functions.
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    I The diffusion equation with time-dependent boundary condition

    Alright, I took me a while to transcribe all the equations to Tex, but below is my working of this problem. I tried to make sure I didn’t introduce any errors into the transcription. I have provided my whole solution, not just the parts I know to be problematic. I have indicated in bold text...
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    I The diffusion equation with time-dependent boundary condition

    @pasmith That's really interesting about expressing the subsidiary solution in terms of cosh and sinh. I hadn't thought of that, but I can see how that saves a lot of time. Thanks for pointing it out. The residue method that you mention is basically what I did, so it's good to have the...
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    I The diffusion equation with time-dependent boundary condition

    Thanks for your interest. First, I realize I forgot to state that the initial condition is C = 0 for the region 0 < x < L. The solution to the subsidiary equation after taking the Laplace transform and applying the initial condition is: \bar C = A \exp{\left( qx \right)} + B \exp{\left( -qx...
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    I The diffusion equation with time-dependent boundary condition

    Hi everyone, I am trying to solve the 1 dimensional diffusion equation over an interval of 0 < x < L subject to the boundary conditions that C = kt at x = 0 and C = 0 at x = L. k is a constant. The diffusion equation is \frac{dC}{dt}=D\frac{d^2C}{dx^2} I am using the Laplace transform method...
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    Comparing events in two probability distributions

    Hi mfb, I appreciate the attempt at Socratic instruction, but I did not post this in the homework section on purpose. I'm a professional PhD chemist trying to solve a problem in an expedient fashion. Vague hints are not what I'm after, nor am I looking for a remedial course in calculus. I...
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    Comparing events in two probability distributions

    With respect, this is not very helpful. I need a general solution.
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    Elemental iodine from Potassium Iodide - Reaction Equations

    Chloride is significantly harder to oxidize than iodide. Look up the redox potentials.
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    Comparing events in two probability distributions

    Right, I figured that. But what are the bounds? A friend of mine helped me come up with one possibility, but it's not giving me answers that make sense when I put my actual functions in and perform the integration.
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    Comparing events in two probability distributions

    Hi everyone, Suppose I have two samples that can be described by an observable. Call it x. x can take on any value from 0 to infinity. The distribution of values of x for sample 1 can be described by the normalized probability distribution f(x). The distribution of values of x for...
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