Mathematical notation question: what does this mean?

There’s a portrait that I walk by occasionally here that depicts a dead white guy standing in front of a chalkboard with an equation on it. I don’t recognize the equation, and I wonder what it means. The equation is y{x}^n = y{x}0^n + y{x}\infty^n, and this is in the engineering school, if that helps to narrow it down.

Based on what I know of you, you know a lot more math than I do, so I probably can’t tell you anything you haven’t already guessed. But in case you’re having an off day and overlooked it…

I assume the ^n is “raised to the nth power”. I’ve seen the backwards slash used to mean “is divisible by”, but it doesn’t make much sense inside the curly braces. Maybe it has something to do with cardinality of sets?

That’s all I got.

I don’t know LaTeX, but that would be my first guess about the backslashes. I know that LaTeX uses them to denote things magical to itself.

Yeah, that’s LaTeX. I figure it’s a safe bet that anyone who would recognize the equation also knows LaTeX.

I haven’t really done anything with LaTeX in a while, but on the off-chance somebody without a LaTeX background knows the equation in question, I think it’s something like y{x}[sup]n[/sup] = y{x}[sub]0[/sub][sup]n[/sup] + y{x}[sub]∞[/sub][sup]n[/sup], right?

Otherwise, I’m stumped – I don’t know curly brackets in any other context than denoting sets.

Yeah, that’s my reading of the L[sup]A[/sup]T[sub]E[/sub]X, too. But I can’t help with the equation itself.

Is it a summation? In other words all the x[sub]subs[/sub] add up to the main function?

Reminds me of some kind of series or sequence.