The condition number for the sum of two numbers $a$ and $b$ is $K=\frac{|a|+|b|}{|a+b|}$. But if I have $a=10$ and $b=-10$, I know that their difference is exactly $0$, so I have in practice no error, but the condition number is infinity. Why is is so? I am surely missing something really important here
2026-03-26 03:11:41.1774494701
Condition number for the sum of two numbers
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