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The solution is valid whenever the frequency of the sine-wave is large when compared to the Butler Volmer kinetic rate constant.
In a previous paper we presented a method for evaluating the generalized exponential integral function, Ev(x), which is valid whenever x > 0 and v > 0.
For a broad class of noise distributions the presented bound is valid whenever the temperature parameter β of the EWA is larger than or equal to 4σ2, where σ2 is the noise variance.
We derive an approximate analytical solution, which is valid whenever the angular frequency of the sine-wave is much larger than the rate of the dc ramp and the standard kinetic rate constant of the redox reaction.
If and exist, then the equation (2.2). is valid whenever either of its sides is defined.
It is unknown if (2.5) is valid whenever Equation (2.5) obviously does not hold for a space with as the following example shows.
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Verner noticed that Grimm's law was valid whenever the accent fell on the root syllable of the Sanskrit cognate, but, when the accent fell on another syllable, the Germanic equivalents became b, d, and g.
Finally, φ is valid in the fibred semantics whenever ⟨h1, h2⟩ ⊩ φ for every pair ⟨h1, h2⟩ as above.
It is an important principle that, whenever a wff is valid, so is every substitution-instance of it (the rule of [uniform] substitution).
Often it is tacitly assumed that the stochastic QSSA is accurate whenever its deterministic counterpart is valid [ 31– 31].
The formula is valid only if we establish that Tx ∈ χ whenever x ∈ χ.
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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