The phrase "are valid for each" is correct and usable in written English.
It can be used when discussing conditions, rules, or criteria that apply individually to each item in a group.
Example: "The terms and conditions are valid for each participant in the competition."
Alternatives: "apply to each" or "are applicable to each".
The chapter also deals with the category of simple objects that are valid for each operator and values generated for each expression.
Not all assessment methods are valid for each type of learning outcomes.
In HSDPA (High Speed Downlink Packet Access), (2) and (8) are valid for each TTI (Transmission Time Interval).
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).
Given that the proposed methodology is valid for each condition, in the present paper the focus is on the engine operating under fully warmed conditions, with the aim to keep the wall temperature into the prescribed limits, with the lowest possible coolant flow rates.
Equation (7) is valid for each homologous velocity.
We first show that the following representation is valid for each (f in W^{-1,p(x)}(Omega, mathrm{C}ell_{n})): TQ_{a}Bwidetilde{T}f= u + TQ_{a}Bpi.
"Of course as I said in the beginning it's different in the various countries around the world and also in the U.S., but this principle that if you create renewable energy you need to have flexibility and no baseload that is valid for each and every country in the world". Read More: How the U.S. Is Paying Germany Back For Its Energiewende Investment.
In this case, the linear transformation T : c λ ( B ˜ ) → c, described as in the proof of Theorem 2.4, is continuous by analogy; and, moreover, Λ ˜ ( b ( k ) = e ( k ) is valid for each fixed k ∈ N. Thus, we obtain that Λ ˜ n ( z ) = ∑ k Λ ˜ n ( b ( k ) = ∑ k δ n k = 1 for each n ∈ N and this result demonstrates that Λ ˜ ( z ) = e ∈ c and hence z ∈ c λ ( B ˜ ).
If f is a quasi polynomial with quasi period α and each constituent polynomial say f ( α l + r ) is a polynomial in l of degree k having identical leading coefficient say c ( k ), then lim l → ∞ f ( α l + r ) ( α l + r ) k = c ( k ) α k ∀ r = 0, 1, …, α - 1. Since the limit is valid for each r = 0, 1, …, α - 1, we have lim n → ∞ f ( n ) n k = c ( k ) α k.
