RE: [math-fun] Items from the most recent AMS journals

I've always seen this inequality referred to as the "Uncertainty Principle", even in digital signal processing, where it is the embodiment of the principle "a signal cannot be time-limited and frequency-limited simultaneously". In quantum mechanics, one deals with "conjugate pairs" of variables, such as position-momentum, which in QM are Fourier transforms of each other. In this setting, the inequality below (usually with 1/16 on the RHS), is indeed the mathematical embodiment of the Heisenberg uncertainty principle. DHB int(x^2 f(x)^2) * int(p^2 F(p)^2) >= 1 is called a statement of the Heisenberg uncertainty principle (HUP). Does this theorem (with suitable hypotheses appended) have a name? It is not the HUP.