Recent content by timscully

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    How Can You Simplify Problems Involving Variables in Three Dimensions?

    Thanks for the welcome. It looks like a great forum. So, is \delta_{ij} . x_{m} zero, because m is neither i nor j ?
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    Two questions - (a) Differentiating inverse trig function and (b) vector

    For the second question, you need to break the vector down into projection and perpendicular components. You need to project the vector x on vector a, then take the projection of a away from x. You are then left with the perpendicular component (the same as resolving x and y components of a...
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    How Can You Simplify Problems Involving Variables in Three Dimensions?

    1. Variables Given a generalized basis in three dimensions: e_{1},e_{2},e_{3} and the standard Kronecker delta \delta_{ij}, and using Einstein summation. With the vector \textbf{x},\textbf{y},\textbf{z} I'm trying to simplify this problem: 2. Problem \delta_{il} . \delta_{jm} . x_{j} 3. My...