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circularly symmetric complex Gaussian random variables with zero mean and unit variance, a distribution which we henceforth denote as (mathbb {C}{cal {N}}(0,1)).
In this study, we have adopted triangular elements in our 2-D FEM modeling and improved Utada's (1987) forward solver, which we henceforth call UT, in order to develop a 2-D forward code that enables precise modeling of bathymetry.
There is a discontinuity in the B z differential at the boundary between the DL and CS regions (x/d=−π), which we henceforth refer to as the "DCB" (DL CS boundary).
The electric field outside the spheroid is for points on the z axis, The quantity in square brackets in this equation is the on-axis electric field enhancement factor, which we henceforth denote as F. It has the value Ftip = (1 + s)/[1 + sL z (0)] at the spheroid's tip (x, y, z) = (0, 0, c), and approaches F = 1 as z → ∞.
Inference in the resulting model (which we henceforth refer to as MDI) is performed using a Gibbs sampler (Supplementary Material).
This biological hypothesis, which we henceforth call the commonality hypothesis, is exploited here to jointly learn PPI models for multiple bacterial species.
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The elevation step was 0.4 mm for the first phantom (which we will henceforth refer to as "Phantom 1") and 0.2 mm for the second phantom (which we will henceforth refer to as "Phantom 2").
Curtis aimed instead to penetrate to their cause, and to suggest a perspective from which we could henceforth begin to look.
In this case, the relation of Young (1) gives the value of the contact angle θ on the surface (which we will henceforth call angle of Young).
The speech segment found is the query, and the system outputs other similar segments from the repository, which we will henceforth refer to as utterances.
Obviously, the inequality remains true if we replace ∥ g ∥ H 1, s ( B ρ + ( x 0 ), R N ) by ∥ g ∥ H 1, s ( B +, R N ), which we will henceforth abbreviate simply as ∥ g ∥ H 1, s.
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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