In physics, this is why we call the derivative operator the "generator of translations"pic.twitter.com/iqJoydnylt
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Wait this is illegal
Why's that? This is just the definition of the exponential of a linear operator
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(d/dx)^2 = d^2/dx^2 ??
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Indeed, this is precisely what it means to square an operator. Think of matrices, M^2 just means apply M twice
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Well... there's a lot of "physicist stuff" going on there though
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lmao not really! this is a common parametrization of an element of a lie group
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