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First, each channel vector hk is normalized, so that : (1).
where ψ in C 0 ∞ ( U ) is normalized so that ∫ Ω ψ ( y ) d y = 1.
The Haar measure (m_{Gamma /Lambda }) of (Gamma /Lambda ) is normalized so that the corresponding inversion formula (6.6) holds (with (G) replaced by (Gamma /Lambda ) and (Gamma ) by (H)).
ζ(n, k) is normalized so that ζ(n, s) = 0 for s ≥ -1 and for s ≤ - d + 1 where d > 3 is a positive integer; There exists a positive real number γ such that sup t ≥ 0 ∑ s = - d 0 | | Δ s ζ ( t, s ) | | ≤ γ.
Denote by dg the invariant measure of the group (G(n)) which is the product measure of the Lebesgue measure of (mathbb{R}^{n}) and the invariant measure of (SO(n)), where the invariant measure of (SO(n)) is normalized so that the total measure is (O_{n-1}cdots O_{1}).
Then by averaging K y over all points y in D, The homotopy operator T : C∞(∧ k D) → C∞ ∧k-1D) is defined by T ω = ∫ D φ ( y ) K y ω d y, where φ ∈ C∞ ∧k-1DD ) is normalizedefinedat ∫φ(y)dy = 1.
Similar(18)
If the MIMO fading channels are normalized so that E H [tr H H H )]=n T n R, the average SNR is 1/N0.
Prior to final analysis, the dataset was normalized, so that every sample had the same total counts.
It is desirable that the three reference vectors be orthogonal to each other and also that they be normalized, so that we have an orthonormal basis for visualization.
All responses were normalized so that their value at f PT = 0.1 Hz is 1 and they are given in dB scale.
Being normalized so that the sum equals one, membership can be considered as an admixture measure (e.g. see Kuehn et al. 2004; Gompert et al. 2010).
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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