3 ms·
I'm not following your train of thought. > Speed and temperature are intensive properties, they don't add up. You can add speeds by their very definition. The
by qsort 6y ago
I'm not following your train of thought.
> Speed and temperature are intensive properties, they don't add up.
You can add speeds by their very definition. They are vectors in R^3 (or some other coordinate system, you get the point). The fact that addition of vectors is allowed is literally baked into the axioms of a vector space.
> Average temperature has no meaning it's a common fallacy
Yes, average temperature does have unambiguous meaning: https://en.wikipedia.org/wiki/Boltzmann_constant https://en.wikipedia.org/wiki/Boltzmann_constant
> You can remove the unit and do whatever you want mathematically and add back the physical unit, but it's not physics.
You do realize math can handle units of measurements/dimensions just fine, do you?
- ttoinou 6y ago> You do realize math can handle units of measurements/dimensions just fine, do you? Yes that's exactly what I'm talking about. Kelvin don't support the addition operator. You can pretend it's not Kelvin/Celsius, do something with the number, and add back the unit if you like, but it won't have any physical meaning. > Yes, average temperature does have unambiguous meaning: https://en.wikipedia.org/wiki/Boltzmann_constant https://en.wikipedia.org/wiki/Boltzmann_constant ... in an ideal gas model you can have a meaning adding and averaging k*T with k a magical constant that transforms your intensive property into extensive (energy) > You can add speeds by their very definition Definition of time derivation of the position function ? Yeah well [length]/[time] don't add up that's it. You need to first give a meaning to the addition operator of [length]/[time]. I'm talking in one dimension, of course if you can prove this then going 2D or 3D is easy