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Related to countably: Countably additive, Countably compact
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for all but at most countably many [epsilon] > 0, and the definitions of [P.sub.T,[alpha],a] and [G.sub.[epsilon]] prove the theorem.
By Remark 29, [iota] is injective on all but countably many of [mathematical expression not reproducible].
Note that if ([t.sub.1], ..., [t.sub.N]), ([s.sub.1], ..., [s.sub.N]) [member of] [R.sup.N.sub.+] are arbitrary, then it is enough to break down the integration intervals into suitable subintervals and applying the same reasoning as above, to see that V[P.sub.n][B.sub.[infinity]] is countably a.e.
Let C be a nonempty bounded closed convex set in a Banach space X and let A : C [right arrow] C be a countably strict-set contraction.
So there might be an uncountably infinite number of phenomena and only a small, countably infinite subset describable by science.
Shahzad: Strong convergence theorems for a common zero of a countably infinite family of [lambda]-inverse strongly accretive mappings, Nonlinear Anal., 71(2009), 531-538.
In this paper, we generalize the concept of countably C-approximating posets to the concept of countably QC-approximating posets.
In that case, power is radiated at a countably infinite number of frequencies.
It follows that elements u(t) of [U.sup.p](I) are right-continuous, have left limits everywhere (including at b) and at most countably many discontinuities.
They are skeptical of the idea of countably additive experience (20)--the value of direct and denatured comparison of the history of the transcontinentals with the relevant history of the railroads in France, Prussia/Germany, or, say, India.
A subset A of X is called I-sequentially countably compact if any infinite subset A has at least one I-sequentially accumulation point in A.