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After heat treatment, these alloys exhibit a duplex microstructure with coherent cuboidal L12-ordered precipitates throughout the face-centred cubic matrix, yielding a microstructure that is very similar to nickel-based superalloys as well as recently developed Co Al W-based alloys.

All images were reconstructed with two kernels: b31f (standard) and b45f (sharp), using a reconstruction field-of-view ranging from 260 to 410 mm and a 512 × 512 matrix, yielding a pixel size between 0.5 and 0.8 mm.

Representative imaging parameters were repetition time=2400 ms, inversion time=1000 ms, echo time=3.5 ms, flip angle=8 degrees, field of view=240×240 mm and 160 sagittal 1.2-mm thick slices and a 1.2-mm thickix yielding a voxel resliceson of 1.25×1.25×1.2 mm, or 180 sandttal 192×192thick slices with a 256×256 matrix yielding a voxel resolution of 0.94×0.94×1.25×1.25×1.2

Moreover, as the strength of NGG media is determined by the concentration of divalent cations, low concentrations of the nontoxic chelating agent ethylenediaminetetraacetic acid (EDTA) break the bonds responsible for the gel matrix, yielding a liquid suspension that easily passes through sieves with a mesh size down to 10 μm.

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The obtained results show that PGNs can significantly enhance the mechanical property of polyethylene (PE) matrix, yielding an increase about 62% in elastic modulus compared with neat PE.

Each functional run involved the acquisition of 156 EPI volumes (gradient-echo, TR = 2000, TE = 25, flip angle = 90°), each with 36 transverse slices, 3 mm thick, 1 mm gap, and a 64×64 matrix yielding an in-plane resolution of 3 mm×3 mm.

Each child completed 2 functional runs lasting 5 min 8 sec each (152 EPI volumes, gradient-echo, TR = 2000 ms, TE = 25 ms, flip angle = 90°), each with 36 transverse slices, 3mm thick, 1 mm gap, and a 64×64 matrix yielding an in-plane resolution of 3 mm×3 mm.

Functional MRI will be acquired using a BOLD acquisition sequence (gradient-recalled-echo, echo-planar imaging (EPI), repetition time=3.0 s, Echo Time (TE =30 ms, Flip angle=850, Slice thickness=3 mm, FOV=216 mm, 44 slices, 72×72 matrix yielding an in-plane resolution of 3.0 mm×3.0 mm).

We reduced redundancy by performing hierarchical clustering based on the Hellinger distances between matrices, yielding a set of 735 representative matrices at a threshold of 1.5.

The variation of composite fracture toughness with material and structural properties, such as the relation between the debonding strain and matrix yield strain, matrix yielding energy and particle volume fraction, is discussed.

Thus, by choosing λ appropriately, we construct either an admissible matrix that yields a higher secondary rate or a matrix yielding the same secondary rate, and such that (40c) is satisfied with equality.

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