Equilibrium statistical mechanics is based on the hypothesis [2] that for an isolated system, every allowed microstate is
equally probable.
But my understanding is that entropy discussions usually deal with macrostates rather than microstates, and it seems to me that the macrostate defined by a small volume and a given total molecular kinetic energy consists of fewer
equally probable microstates than the macrostate defined by a larger volume and the same total molecular kinetic energy.
Equally probable my foot!
Yeah, they are
equally probable pathways if and only if the probability is zero.
Treat each member as (a)
equally probable, or (b) probability weighted based upon previous 80 % confidence scores, and probabilistically combine all the individual priors into a robust prior for use by the decision unit.
These should not be assumed to be
equally probable — which is way Hansen's testimony focussed on the most probable scenario (B).
For lack of better information, if we (incorrectly) assume all the scenarios are
equally probable, the error around the mean of 3.6 degrees is about 60 %, not 400 %.
Secondly, the arctic has a lot of internal variability — this implies that there is going to be a number of
equally probable «explanations» that can't really be assessed absent some additional data.
You need to assume them to be
equally probable in order for the reader to infer that the expectations are identical between problem 1 and problem 2.
«It makes no difference whether it's linear or triangular or another configuration: all are
equally probable, as is typical for quantum mechanics.»
But it's
equally probable that the gradual melting of the hydrates made it possible — and made it worse.
But counting up the other
equally probable options makes our universe just one of 10120 possibilities, a fine - tuning that physicists find equally unsatisfactory.
It seems
equally probable that these qualities co-evolved or that they are unrelated to each other.
As the concentration of reagent is increased, the system would be taken beyond the chemical instability, and there would be two
equally probable nonequilibrium steady states.
A lack of «proof» suggests both possibilities are
equally probable.
If we know only that the alarm has sounded, these two possibilities are roughly
equally probable, giving us an approximately 50 percent chance that the stone really contains a diamond.
You need to assume them to be
equally probable in order for the reader to infer that the expectations are identical between problem 1 and problem 2.
You write that all combinations of red / black balls within the 100 ball population ARE possible; you don't say they are
equally probable.
Not exact matches
When combined with the distribution of VW diesels and
probable commute patterns, we hope users will see that not all areas are
equally affected.
Also, I would contend that some of the warming scenarios Lovelock has painted hold
equally grim prospects for human civilization and are more
probable.
What can justify this conclusion that year 300 is enormously more
probable than year 1200, when the data is
equally compatible with both?
And if there is
probable cause and guilt, in general, the fact that someone else
equally culpable was let off isn't a defense.