The phrase "are valid for both" is correct and usable in written English.
It can be used when discussing rules, conditions, or statements that apply equally to two subjects or entities.
Example: "The guidelines provided are valid for both new and existing users of the software."
Alternatives: "apply to both" or "are applicable to both".
These solutions are valid for both real and complex values of the invariants.
Approximations are valid for both predetermined total flux, when explicit method results, and equivalently when total fluxes must be iterated.
We have found that same EoSs are valid for both bulk Ni and Ni nanoclusters, but with different values of the parameters, which depend on the cluster size and temperature.
The present results obtained for two-dimensional elasticity and Poisson's problems are valid for both the single-scale standard fixed-grid method and the multiscale fictitious domain-based interpolation wavelet-Galerkin method.
Using one of the authors' similarity approach to three-dimensional contact problems and the corresponding formulae, other fundamental relations are derived for depth of indentation, size of the contact region, load, hardness, and contact area, which are valid for both elastic and non-elastic, isotropic and anisotropic materials for various boundary conditions.
Although the results are valid for both systems, this article is focused on the 3GPP solution.
If form invariance is indicated, it implies that the hypothesized model is valid for both groups (construct validity is demonstrated for both groups), and that both groups have the same overall structure (in the path model, the same directional arrows are valid for each group).
To ensure the instrument being valid for both short-term and long-term consequences, validations have been carried out in different populations with varying diseases and durations and at varying ages and activity levels.
Reservations must include lodging to redeem this offer, which is valid for both nonstop and connecting service into Vail/Eagle.
