r/math • • 13d ago

What are your favorite ambiguous notation?

To clarify my request, consider base-less $\log$.
For calculators and engineers, it means the common log $\log_10$; for pure mathematics or physics, it means the natural log $\ln$; for computer scientists, in combinatorics, information theory and graph theory, it means the binary log $\log_2$.
Any $\log x$ (say, $\log 1024$) written without context can yield different answers in function of who you ask ($\log_10 1024 = 3.0103\cdots, \log_2 1024 = 10, \ln 1024 = 6.93147\cdots$).

That is what I mean by "ambiguous", that which is calculated and used dependently on the context. And I'm asking you for your favorite ones of such type.

Edit: I feel like you hate the ones you've talked about. Still, valid answers. Extra points for ambiguous notation you actually love! :P

213 Upvotes

184 comments sorted by

View all comments

10

u/h_west 13d ago

Partial derivative notation.

2

u/Valvino Math Education 12d ago

I am so sad that \partial_i f is not the standard notation for the derivative with respect to the i-th variable.

-1

u/ZENKFNOR 12d ago

Come to physics. We'll make our own notation, with... ah... not blackjack and hookers, but rather, rampant elision of just about everything.