Recent content by Talvon

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    Commutators with powers? A 'show that' question

    Thanks for the tip but I think I managed to do it without the test function (I think :P) Could somebody please go over my workings to confirm if they are correct or not? Expand: [AB,C] = ABC - CAB Sub in a factor of (ACB-ACB): [AB,C] = ABC + (ACB - ACB) - CAB Re-arrange: (ABC -...
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    Commutators with powers? A 'show that' question

    Homework Statement The question is 'show that the commutator [AB,C]=A[B,C]+[A,C]B' Homework Equations I'm not sure, a search for a proof gave the names 'ring theory' and 'Leibniz algebra', but further searching hasn't provided a proof so far and it seems it is just accepted as a...
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    How to calculate 2D packing fractions?

    Ace, cheers :D Didn't make sense initially but then it clicked :P Managed to work it through to get pi/4, and managed to solve the (110) and (111) plane in a similar way :smile:
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    How to calculate 2D packing fractions?

    I have a question regarding various planes in an FCC, and determine their packing fractions. I searched but couldn't find anything :) For example, one of the planes is the (100) plane, and I have said there are 2 full atoms (1 in the middle, and 4 quarters from each side), distance 'a'...
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