“Linear” describes transformations, not numbers.
NoneOfUrBusiness
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Cake day: June 13th, 2024
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I mean relativity is elegant enough in its own right; it’s just Newton’s laws plus the constancy of the speed of light and the equivalence principle. These two additions are enough to make everything an order of magnitude more fucked up, but that’s math’s fault, not relativity.
Nah, sqrt(x) is the principal branch (the one with a positive real part) of x^½, and you can do (-1)^½ because it’s just exponentiation.
You just used “tensor” to define “tensor,” but also any list of number formulated as an n-dimensional matrix will satisfy this criterion. A tensor is both a linear transformation and an n-dimensional box-shaped list of numbers, but there’s nothing such as a linear list of numbers.