Lifting cold air, which becomes even colder on ascent, is a self-limiting process, given that the column of air over any developing low should be as warm and lightweight as possible.
22.
Had been known to Euclid, but all proofs of it involve some form of limiting process or calculus, notably the method of exhaustion or, in more modern form, Cavalieri's principle.
23.
To define the derivative of " f " at a standard real number " x " in this approach, one no longer needs an infinite limiting process as in standard calculus.
24.
Naturally I'm not saying they certainly-should-be the same, because clearly limiting processes will often screw things up,'1 / x'being strictly positive an obvious example.
25.
In the 1990s-2000s the problem of " the limiting processes, there merely indicated, which lead from the atomistic view to the laws of motion of continua " was approached by many groups of mathematicians.
26.
Mathematicians had long understood that for non-negative functions with a limiting processes of mathematical analysis and the mathematical theory of probability it became clear that more careful approximation techniques were needed to define a suitable integral.
27.
:: : : The 1 / 0 thing is problematic because its value can really only be understood as a limit, and thus two different limiting processes can give two different " values " of 1 / 0 [ ! ].
28.
:: : : I'm not sure that your limiting process is valid; you're taking the limit as N \ rightarrow \ infty of expectation values defined over probability distributions that are normalized only for N = \ infty.
29.
The checks can be seen as the limiting process of giving you a larger portion of the " flow " for a shorter period of time : you could have all the output for, say, 3 minutes a week instead of having the trickle.
30.
In " classical limit ", " limit " is used in the sense of a limiting process . ( Note that there is no " simple rigorous " mathematical limit which fully recovers classical mechanics from quantum mechanics, the Ehrenfest theorem notwithstanding.
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