Sentence examples for is valid for each from inspiring English sources
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.
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.
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.
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).
The chapter also deals with the category of simple objects that are valid for each operator and values generated for each expression.
This will be valid for each evaluation point.
Hence, the two-factor solution CFA was valid for each group.
