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WHCF-Theorem (Weighted half convex function theorem).
The weighted right convex function theorem (WRCF-Theorem), weighted left convex function theorem (WLCF-Theorem), and weighted half convex function theorem (WHCF-Theorem) are the following.
For the particular case p 1 = p 2 = ⋯ = p n = 1 / n, from the weighted half convex function theorem, we get the half convex function theorem (see [4, 5]).
That one weighted half a ton and was being prepared for shipment.
Given that questions 6 9 dealt with mid- to lower-order writing issues, they were weighted half as much as questions 1 5.
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Several measures or indices of biopersistence have been proposed in the literature of which three, the weighted half-time (WT1/2), the time required to clear 90% of long fibers (T0.9), and the so-called slow-phase half-time (T2), have been investigated in some detail.
The half-life of the fibers was calculated using a model taking into account the rapid early clearance of fibers (weighted half-time) (Additional file 2: Table S5).
Open image in new window Fig. 4 An 18-year-old male cystic fibrosis patient, coronal T2-weighted half Fourier fast spin echo sequence (a) and coronal subtraction perfusion image (b).
A T2-weighted half Fourier acquisition single-shot turbo spin-echo (HASTE) coronal sequence was performed as a control prior to injection with a standard body coil (excitation time 66 ms, echo train length 128, flip angle 180°, number of excitations 1, matrix 240 × 256, slice thickness 4 mm, TA (acquisition time) 13 s).
T2-weighted fast spin-echo (T2-FSE), and T2-weighted half Fourier single-shot sequences (T2-HASTE) were slightly inferior.
Coronal T2-weighted half Fourier single-shot turbo spin echo sequence (HASTE) (TR infinite, TE 120 ms, flip angle 90°, breath-hold), serving as a localizer, but also supplying valuable T2-weighted information.
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