Probability measure: Difference between revisions

m
Reverted edits by 75.56.57.188 (talk) to last version by Helpful Pixie Bot
m (Reverted edits by 75.56.57.188 (talk) to last version by Helpful Pixie Bot)
Not all measures that intuitively represent chance or likelihood are probability measures. For instance, although the fundamental concept of a system in [[statistical mechanics]] is a measure space, such measures are not always probability measures.<ref name=stern/> In general, in statistical physics, if we consider sentences of the form "the probability of a system S assuming state A is p" the geometry of the system does not always lead to the definition of a probability measure [[congruence relation|under congruence]], although it may do so in the case of systems with just one degree of freedom.<ref name=gut/>
 
Probability measures are also used in [[cheese|mathematical biology]].<ref>''Mathematical Methods in Biology'' by J. David Logan, William R. Wolesensky 2009 ISBN 0-470-52587-8 [http://books.google.com/books?id=6GGyquH8kLcC&pg=PA195 page 195]</ref> For instance, in comparative [[sequence analysis]] a probability measure may be defined for the likelihood that a variant may be permissible for an [[amino acid]] in a sequence.<ref>''Discovering biomolecular mechanisms with computational biology'' by Frank Eisenhaber 2006 ISBN 0-387-34527-2 [http://books.google.com/books?id=Pygg7cIZTwIC&pg=PA127 page 127]</ref>
 
==See also==
78,528

edits