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It is also a sequence of moods, with impassioned voices calling out from the 80 scrolls and inscribed fans spanning several centuries, including the 21st, that line the galleries.
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It's also a sequence of events that Human Rights Watch has been investigating for years, having recorded 1,424 deaths committed by the DDS and copycat groups.
If { y n } is a Cauchy sequence in O ( f, T ; x 0 ) in ( X, p S ), then it is also a Cauchy sequence in ( X, p ).
As a consequence we prove that any QMC-design sequence for Wsp Sd) is also a QMC-design sequence for Wsp′(Sd) for all 1≤p<p′≤∞ and, furthermore, if (XN) is a quasi-uniform QMC-design sequence for Wsp Sd), then it is also a QMC-design sequence for Ws′p Sd) for all s>s′>d/p.
Lemma 2.6 If { u λ n } is the sequence obtained in Lemma 2.5, then it is also a ( P S ) sequence for Φ satisfying lim n → ∞ Φ ′ ( u λ n ) = 0, lim n → ∞ Φ ( u λ n ) ≤ sup Q ¯ Φ. Proof Note that u λ n is bounded.
Indeed, if { x n } is a p b -Cauchy sequence in ( X, p b ), then according to the above discussion, it is also a b-Cauchy sequence in ( X, d p b ).
If { x n } n ∈ N in X m is a mixed ≼ I -monotone sequence, then it is also a mixed ⪯-monotone sequence; that is, each sequence { x n ( k ) } n ∈ N in X is a mixed ⪯-monotone sequence for all k = 1, …, m.
It is also a very funny sequence.
It is easily seen that if and is also a sequence of -mixing random variables.
Formally, a profile is also a sequence, but it is composed of probability distribution vectors instead of characters.
If ((x_{j})) is lacunary (I_{lambda} -statistically convergent sequence of order α defI_{lambda} -statisticallyn it is also a laconvergent{mu})-sequence sequence of order β defined by (mathscr{M}).
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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