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And in [12], he got the analogous boundary regularity of (1.1) under natural growth condition.
In contrast, the analogous boundary separating predominance of Ag(HS 2− from Ag(S4 23− lies at aS0 = 2.14 at pH 7 but falls to 0.96 at pH 8 (data from [23],[23]).
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Meta-analyses not reaching information size are analyzed with trial sequential monitoring boundaries analogous to interim monitoring boundaries in a single trial.
46 47 48 49 Meta-analyses not reaching the required information size are analysed with trial sequential monitoring boundaries analogous to interim monitoring boundaries in a single trial, requiring more stringent Z values to declare benefits or harms.
Since the proof of the main theorem (Theorem 4.1) in this paper is independent of the expression form of and only dependent on its continuity and nonnegativity, there are similar conclusions by analogous methods for boundary value problems (1.5) subject to other boundary value conditions, respectively, the following.
The approach is analogous to the boundary layer analysis in fluid mechanics, and is based on the methodology of scaling.
Examples treated in detail are "ducts" for the flow of stresses (slender bars in tension of compression), bifurcated bars shaped as Y and V, and slender and tapered plates (adhesive joints, tendons, ligaments), which are shown to be analogous to convection boundary layers.
The structure of the boundaries of fragments exhibits a dislocation nature analogous to other grain boundaries after intensive plastic deformation[10 12].
The boundary appears analogous to a frontal zone separating a moist air mass from a dry air mass on Earth and also shows some fine structure presented by Satoh et al. (2017).
The numerical analysis of the buckling load is performed for the cylinders with length-to-diameter ratio in the range (0.05, 60), with eight sets of incremental work-conjugate boundary conditions analogous to those used in the literature and partly summarized in the book by Yamaki [Yamaki, N., 1984. Elastic Stability of Circular Cylindrical Shells.
Because no reason exists why the standards for a meta-analysis should be less rigorous than those for a single trial, analogous trial sequential monitoring boundaries can be applied to meta-analysis as trial sequential analysis.
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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