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Using just the inlier subset, a trimmed version of PST gives an estimate of normalized surface normal n ̂ and albedo α via n ~ = A ( ω 0 ) † L ( ω 0 ) ; α = ∥ n ~ ∥, n ̂ = n ~ / α (13).

To take into account intra-subject variability, we normalized the connectivity measures by the number of whole brain tracts 'Ns' leading to normalized surface connectivity measures NCs(n,r): NC v (n,r) = C s (n,r) / N s We previously checked that the number of whole brain tracts is not statistically different between healthy subjects and patients with GTS.

Figure 11 Unloading modulus vs normalized surface energy.

Figure 9 Normalized surface energy vs ratio of surface area to volume ( S ratio  = 6/ D ).

Figure 10 Compressive nominal stress vs normalized surface energy for three compressive strain levels.

c Normalized surface area gain detE and d Gaussian curvature along HM and ϕ = 60 ∘.

Simple and approximate polynomial expressions of concentration of oxygen (mediator), substrate and flux are derived for all possible values of parameters ϕ (Theiele modulus), BO (normalized surface concentration of mediator), and BS (normalized surface concentration of substrate).

The relationship between normalized surface tension and channel aspect ratio, approximated for cases in which h/2R is negligibly small, is plotted as an inset in Figure 3. Figure 3 Normalized surface tension required for flow of liquid metal.

Inset: approximate normalized surface tension required for flow as a function of channel aspect ratio h/w.

To factor out the particulars of location and orientation we have introduced the normalized surface polarization distribution.

By the same argument as in [1], let denote the complete system of normalized surface spherical harmonics.

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