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The present work focuses on microstructures that can be characterized as continuous matrices containing isolated inhomogeneities of diverse shapes, properties and orientations.
Inspired by natural exoskeleton composites in arthropods consisting of regularly oriented fibrous chitin within continuous matrices, a novel rolling compacted method was developed to enable controlled orientation of carbon fibers in UHTCs.
Thus, for g and h, two integrable functions on ℝ, we can rewrite ( x ∗ g ) ⋅ ( y ∗ h ) ′ = x ⋅ G ⋅ H ′ ⋅ y ′, where G and ℋ are their associated continuous matrices.
The continuous matrices of atomic displacements and lattice distortion from face-centered-cubic (fcc) to body-centered-cubic (bcc) phases compatible with the hard-sphere geometry of iron atoms are calculated for different possible final orientation relationships (ORs), such as Bain, Pitsch and Kurdjumov Sachs (KS).
Abd El-Salam and El-Sayed [13] proved the existence of a unique uniformly stable solution for the non-autonomous system c D a α x ( t ) = A ( t ) x ( t ) + f ( t ), x ( 0 ) = x 0, t > 0, where c D a α is the Caputo fractional derivatives (see [5 7, 14]), A t) and f(t) are continuous matrices.
Similarly to other results [ 26], we did not observe any correlation between genetic and Euclidean distance with continuous matrices.
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Polymer-based surface coatings can be considered to be two-phase composite materials consisting of pigment particles and other additives dispersed in a continuous matrix of polymer.
The continuous matrix was PS blocks.
Hence, the continuous matrix was PS blocks.
Let be a continuous matrix function with trace.
In all these blends, PP formed the continuous matrix phase.
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