What math symbol can be used to express the same asymptotic order beside the big-Theta?

Question

Suppose $a_n = O(b_n)$ and also $b_n = O(a_n)$.

I want to express this but can't use $\Theta$ since it means something else in my report. I'm thinking about this $\approx$, but wondering if there is a better one.

I remember seeing a symbol like the $x$ rotated $90^0$, but don't know how it is called or the latex character.

Anyway, just want to hear your input.

Thank you!

@mathematician this is usually used for asymptotic equality, that is the quotient is $1$ in the limit. — quid, Sep 22 '15 at 22:16

score 2 · Accepted Answer · answered Sep 22 '15 at 22:14

2

A standard symbol for this is $\asymp$, as you said. To typeset it use $\asymp$ .

If you know a symbol but not the command, use "Detexify", where you can draw symbols and are told the command.

answered Sep 22 '15 at 22:14

quid

42,135

So glad you showed me the Detexify! There are many symbols that I have no idea how they are called. – user262959 Sep 22 '15 at 22:22
I am glad you found it useful. I think there is or at least used to be an add for it on this site. – quid Sep 22 '15 at 22:27

What math symbol can be used to express the same asymptotic order beside the big-Theta?

1 Answers1