- #1
Liji.h
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Recently when I talked to a professor specialized in number theory, I learned about normal numbers.
So the other day I asked myself, is the sum of two normal numbers still normal? I quickly realized if you take [tex]\sqrt{2}[/tex] and [tex]-\sqrt{2}[/tex] you get 0 so the answer is obviously no.
But then I started to wonder, what if we know the sum is an irrational number? is it then normal?
I am intuitively guessing that the answer is yes...
Thanks in advance for any input!
So the other day I asked myself, is the sum of two normal numbers still normal? I quickly realized if you take [tex]\sqrt{2}[/tex] and [tex]-\sqrt{2}[/tex] you get 0 so the answer is obviously no.
But then I started to wonder, what if we know the sum is an irrational number? is it then normal?
I am intuitively guessing that the answer is yes...
Thanks in advance for any input!