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We explicitly notice that the convergence of the infinite product in (3) is shown by the double inequality (2).
In the above corollary, we explicitly notice that the mean m should be monotone in order to ensure that m is m 1 -decomposable for some mean m 1, but m 1 is not necessary monotone.
We explicitly notice that the above mean-sequences ( Θ n ) n and ( ϒ n ) n p-converge for all comparable means m 1 and m 2, i.e., m 1 ≤ m 2 (or m 2 ≤ m 1, see Remark 3.1 below).
We explicitly notice that, by virtue of Definition 2.1 iii) and with the change of variable t = 1 − s in (3.6), we deduce that every m -mean is symmetric.
We explicitly notice that ℛ is a map with three functionals variables f, g, h (which justifies the chosen terminology), while R ( f, g, h ) is a functional with two positive real variables a, b.
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Notice that the JET precoding scheme explicitly adopts a promising unitary triangularization decomposition approach by (2) to jointly triangularize two matrices with one common unitary matrix.
It is critical to notice that taking tree topologies alone explicitly disregarding any time scale has the implicit problem of obviating extinction.
Everything else is not a TFBS (Notice that this rule is not explicitly shown in Table 8).
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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