Your English writing platform
Discover LudwigExact(14)
Accordingly, the C0− continuity at layer interfaces can be naturally satisfied without any additional conditions.
Convex constraints are naturally satisfied since the weighted graph contains air-route information.
The shear stress free surface conditions are naturally satisfied so that the shear correction factors are no longer required.
Obviously, condition (a) of Lemma 2.1 is naturally satisfied if we choose (V= x^{T} Px) as a Lyapunov function.
However, the monotonicity assumption is naturally satisfied by many coupled FBSDEs arising from stochastic optimal control problems.
In the special case when T is single-valued, assumption (1) of Theorem 3.1 is naturally satisfied.
Similar(45)
And so the coefficients of system (1.3) will naturally satisfy assumption (H 1).
We demonstrate our method in the pseudopotential framework with a planewave basis set which naturally satisfies the kinetic balance prescription.
As Hermitian positive matrices naturally satisfy the added constraints, these results generalize and improve the corresponding results in the present papers.
For unknown system nonlinearities, two types for them are included: one naturally satisfies the "triangularity condition" and may possess a class of unstructured uncertain functions which are not linearly parameterized, while the other is partially known and consists of parametric uncertainties and known "bounding functions".
In view of the fact that the Hopf algebra of distributions supported at the identity of a loop naturally satisfies the linearizations of the identities satisfied by the loop, one may assume (rightly or wrongly) that its possible deformations should satisfy the same linearized identities.
Write better and faster with AI suggestions while staying true to your unique style.
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