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By effectively combining an appropriate Lyapunov functional with the Newton-Leibniz formula and free-weighting parameter matrices, this paper has derived new delay-dependent conditions for the exponential stability in terms of linear matrix inequalities, which allow simultaneous computation of two bounds that characterize the exponential stability rate of the solution.
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In this paper, we have derived new explicit bounds for the unknown functions concerned in some new Gronwall-type inequalities.
We have derived new equations for online measurements of source position and emission angle with pinhole array optics.
We have derived new bootstrap current fraction scalings for systems codes by solving the Hirshman Sigmar model, which is valid for arbitrary aspect ratios and collision conditions.
We have derived new closed-form approximations to borehole stresses for triclinic elastic media, with arbitrary borehole and principal stress orientations.
We have derived new analytical forms for solitary and periodic waves depending on parameters (q, p, sigma, ) and v. Considering an external periodic perturbation, chaotic structure of ion acoustic waves has been presented.
On the basis of a purely thermodynamic analysis, and without recourse to any geometrical model for the porous material, we have derived new equations for the liquid pressure and for the surface energy.
Recently, using a dual expression for channel capacity introduced in [11], Lapidoth et al. have derived new upper bounds on the capacity of the indoor optical wireless channel when the input is constrained in both its average and its peak power [12].
(4) We have derived new bond-valence parameters for 135 cations bonded to O2− using the GRG method.
Now a team of astronomers has derived a new, less nonsensical age for the Methuselah star, incorporating information about its distance, brightness, composition and structure.
In March, Boston scientists reported that they had derived 17 new human embryonic stem-cell lines from 286 frozen human embryos produced by in vitro fertilization.
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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