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We analyze the protocol's performance both mathematically and via extensive simulations.
OSD is an interesting field both mathematically and for industrial applications.
In this article, the concept of ascendency as indicator of ecosystem growth and development is illustrated both mathematically and conceptually.
In other words, the Laplace transform at s equals j omega just simply reduces both mathematically and notationally to the Fourier transform.
The model is well posed both mathematically and thermodynamically: it is hyperbolic and compatible with the second law of thermodynamics.
Although Clinton came into New York with a sizable delegate lead over Sanders, a decisive win in the Empire State should help her lock up the Democratic nomination both mathematically and in narrative.
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There was also a renewal of interest in statements that are both interesting mathematically and independent of the axiom system in use.
The reason is that the four candidates listed above were pulling in 25% of the vote, which meant that only de Blasio or Thompson, not both, could mathematically get over 25%.
Both a mathematically based virtual work principle and a mechanical visualisation of the mechanics of the deformation are considered separately, and they are shown to arrive at the same formulation of the linear differential equations of equilibrium of the buckled arch when the buckling deformations are considered infinitesimal.
Although both levels mathematically represent the same group of samples (>3 % = ≥4 %), we would prefer using a cut-off value for Ki-67 ≥ 4 % for our cohort as this has the better discriminatory power and is more precisely defined (Table 3).
The odds on both are mathematically identical.
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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