For a vapor bubble to expand, the temperature must be high enough that the vapor pressure exceeds the ambient pressure (the atmospheric pressure, primarily).

So if you imagine a very, very big universe, an infinitely big universe, with randomly bumping into each other particles, there will occasionally be small fluctuations in the lower entropy states, and then they relax back.

Charles's law or Law of Charles and Gay Lussac (1787) In 1787 the French physicist Jacques Charles found that oxygen, nitrogen, hydrogen, carbon dioxide, and air expand to the same extent over the same 80 kelvin interval.

Now rather than just argue about this number, a copyright mathematician will analyze it and he'll soon discover that this money could stretch from this auditorium all the way across Ocean Boulevard to the Westin, and then to Mars ...

is a constant. When the frequency goes up, the wavelength comes down. Wavelength goes up, frequency goes down. So, if we have a wave here over here, that's what's interesting as the pitch goes up, things get closer, pitch goes down, things stretch out.