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Exact(3)
therefore, in both cases there exists a integer such that (3.30).
there exists a integer, such that (4.18).
there exists a integer such that, Let, so we have, for large enough, which implies as.
Similar(57)
If for any integer, then there exists an integer such that.
Let If is a solution of (1.3) with then there exists an integer such that.
Since and are bounded there exists an integer such that for all and ; then (4.6).
for as, and suppose there exists an integer, with, such that (6.11).
Let be a Cauchy sequence in and be given, then there exists an integer such that for all.
(Vin C {mathbb{R}})) bounded from below and there exists an integer (kgeq1) such that (lambda_{k}<0<lambda_{k+1}).
That is, there exists an integer n 0 such that s n 0 ≤ s n 0 + 1.
For a given integer n there exists an integer N = N(n), such that a set of any N points on a plane, no three on a line, contains n points forming a convex n-gon.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com