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asked Finding Grassmann coefficients
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Nov
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comment What are some examples of notation that really improved mathematics?
@NateEldredge I think it is an improvement. Compare vector expressed as a series in usual notation $\sum \langle x,\phi \rangle \phi$ and in bra-ket notation $\sum \langle \phi | x \rangle |\phi\rangle$. The bra-ket notation also can be read not just as sum of vectors with coefficients but also as matrix-vector multiplication just by swapping things around. Also we can treat $\sum |\phi\rangle\langle\phi |$ as an identity and it gives rise to a bunch of useful algebraic manipulations.
Nov
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answered What are some examples of notation that really improved mathematics?
Nov
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comment What are some examples of notation that really improved mathematics?
Einstein's notation is indeed the power of math at its finest! I would add Kronecker and Levi-Civita symbols to this answer.
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comment How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?
@kriss Thx, next to last was wrong indeed (also the second one), counting to five is hard! Fixed it and also colored the pens for more clearity.
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revised How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?
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answered How to put 9 pigs into 4 pens so that there are an odd number of pigs in each pen?
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comment When written in decimal notation, every square number has at most 1000 digits that are not 0 or 1. True or false?
[silly]$2^2 = 3.9999999...$ have clearly more than 1000 nines, so it's false[/silly]
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