_emna

3 ms·

1. 1.▲
   by _emna 3y ago

   > Why does this make sense to you? You have some notion of what an absolute value should be, on an intuitive or conceptual level, and the mathematical definition you give is consistent with that (in the one dimensional case). In my mind
2. 2.▲
   by _emna 3y ago

   The article you linked literally says that there are two definitions: one for real numbers and another for complex numbers. Thanks for the info.
3. 3.▲
   by _emna 3y ago

   Sorry, can you explain this? To me, it makes sense to define abs(x) = sqrt(x^2) i.e. ignoring the negative solution enforces the positive result. Using that definition, abs(i+1) = sqrt((i+1)^2) = sqrt(i^2 + 2i + 1) = sqrt(-1 + 2i + 1) = sqr