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    Division with Einstein summation convention

    That's a neat trick and clears up a lot of confusion I have. Thank you for the help.
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    Division with Einstein summation convention

    Thank you. I got tunnel vision on getting getting some sort of contraction going. Just to be clear, did you mean that I can get c by c = A00 / (u0)2 = A11 / (u1)2 = ... etc? Is it even possible to evaluate Aab / (ua ub)?
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    Division with Einstein summation convention

    Homework Statement I have the following equation Aab= c ua ub Where Aab is a rank 2 tensor and ua is a vector and c is a scalar and a,b = {0,1,2,3}. I know both Aab , ua and ua I want to find c explicitly but I don't know how to interpret or calculate c = Aab / ( ua ub ) Does anyone...
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    Variation of the action using tensor algebra.

    Thank you! It did not answer what I was looking for but it still helped in another way. Which is good since my question, as you pointed out was badly phrased. I will try and derive the result you posted as I cannot see the connection by just looking at it. Regarding my original question. It...
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    Variation of the action using tensor algebra.

    Homework Statement Hi, I have a problem calculating the variation of the action using tensor algebra because two derivative indices are causing some problem. Homework Equations Generally you have the action S = \int L(A^{\mu}, A^{\mu}_{\;,\nu}, x^{\mu})d^4x where: A ^{\mu}=...
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    Solving Eigenvalue & Eigenfunction of 1D Heat Equation

    Hi, I am struggling with the heat equation ut = kuxx with the boundary conditions u(0,t) = u'(L,t) = 0 and initial condition u(x,0) = f(x) 0 ≤ x ≤ L 0 ≤ t I want to derive it's eigenvalue using complex analysis. After separating the variables...
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    2nd order nonhomogenus differential equation in matlab

    Homework Statement I am studying a forced undamped oscillator with MATLAB governed by the equation: y'' + \omegaoy = 2Cos(\omegat) First I have to write a function that can be solved by the solver ode45. Here is where I am stuck. Matlab just spits error messages at me when I try to...
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    Comparing random variables with a normal distribution

    Thank you :) I like how stuff is obvious when someone tells you. -y ~ N(-1000, 502) Xi ~ N(1050 - 1000, 2800 + 2500) P( X\geq0) = \Phi(\stackrel{50}{\sqrt{5300}}) = \Phi(0.69) = 0.7549 Thanks again :D
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    Comparing random variables with a normal distribution

    Homework Statement You have 7 apples whose weight (in gram) is independent of each other and normally distributed, N(\mu= 150, \sigma2 = 202). You also have a cabbage whose weight is independent of the apples and N(1000, 502) What is the probability that the seven apples will weigh more...
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