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The associated dynamics of this system, which consists of a normalized Hamiltonian with respect to the fast angles (partial averaging), is investigated making use of variables referred to the total angular momentum.
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The very fast angle-measurement is performed using parallel analog signal processing, 24 MHz finite state machine with dedicated peripherals and an 8 Mbit/s SPI interface.
Anatomical images of each subject's brain were collected using an in-house multiecho 3D fast angle low shot (FLASH) sequence for mapping proton density, T1, and magnetization transfer, from which T1 weighted images were generated (voxel size, 1 × 1 × 1.5 mm) [ 27].
He excised the roof, cut down the windscreen and set it at a faster angle, and added retro-styled 20in alloy wheels.
T1 mapping was performed by acquiring three three-dimensional fast low-angle shot volumes with excitation flip angles 5°, 15°, 25°; repetition time = 30 msec and echo time = 5 msec; and same field of view, matrix, and number of slices as the True Fast Imaging with Steady-state Precession.
In order to demonstrate the feasibility of using MRI to estimate both the cardiac and respiratory motion fields of the heart, a subject was scanned on a Siemens 3-T system using a fast low angle shot (FLASH) MRI sequence with golden-angle based radial sampling of the k-space (denoted hereinafter as Rad-FLASH) [28].
A T1 map was calculated for all data sets by fitting the theoretical spoiled gradient echo as a function of the flip angle to the signal measured by the three-dimensional fast low-angle shot sequences (34).
T1-weighted fast low-angle shot 3D coronal images were acquired (TR/TE 9.8/4.76 ms; flip angle 25°; field of view 330 × 247 matrixatrix 256 × 128; partition thickness 2 mm; no interslice gap; acquisition time 56 s; 80 slices covering the entire breast volume).
A contiguous stack of short-axis images covering the entire ventricle was acquired with a 2D FLASH (fast low-angle shot) sequence using retrospective gating and the following imaging parameters: TR/TE = 25.45/2.39 ms, flip angle = 14°, matrix = 170 × 208, FOV = 310 × 380 mm, slice thickness = 6 mm, 40 cardiac phases, bandwidth 445 Hz/pixel).
Transverse slices were acquired with a fast, low-angle shot (FLASH) using the following parameters: TR = 22 ms, TE = 4.87 ms, pulse angle = 90 degrees, field of view (FOV) = 55 × 42 mm, and matrix size = 58 × 256.
He ordered an un-Menjou-like beer that I poured incorrectly -- too fast, wrong angle -- making a foamy mess on the bar.
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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