Does this math formula with $1/PI\begin{cases}^\infty_{-\infty}\end{cases}$ mean anything?

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I happened upon an image on the Internet

weird math 1
(source: news.com.au)

and I wondered whether the math on the chalkboard means anything. Using Google's image search, I found three other related images.

weird math 2

weird math 3

weird math 4
(source: nees.org)

Piecing together the math from the various angles shows some mismatched grouping symbols.

My question: Ignoring the possible typos, does the "math" mean anything? Or is this an example of stock photography trying to appear mathy?

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Googling fourier "a(y)" "b(y)" yields this first hit:

Fourier Integral of the function f(x)

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It's safe to say that the math doesn't mean anything. No branch of mathematics or science or anything else uses the symbol $\{$ for an integral sign, and there are mismatched parentheses.