But just to be clear, if you saw a reference to 'monotonic increasing'
in an American journal,
say of applied mathematics, would you be sure you understood what was
meant?
That would depend on the subject matter.
If the article was on real analysis (where the domain is
nondenumerable),
then it would most probably mean >=.
If the article's subject matter was "concrete mathematics" (i.e.
discrete values)
then "increasing" would probably mean > and only "nondecreasing" would
mean >=.
So in the case you raise, monotonic increasing would usually be strictly
interpreted as x_n > x_n-1,
and if you want to include the case where the sequence doesn't actually
increase
you should say "nondecreasing" .
However, since the Godel failure of Principia Mathematica
even mathematicians have lost faith in consistent definitions :>
Y(J)S
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