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Similarly, it is easy to see that the sequence {Δ t′} of difference matrices form a Markov chain similar to (48), i.e., {Delta_{i}'}_{i=0}^{t-1} leftrightarrow Delta_{t}' leftrightarrow Delta_{t+1}', quad forall t. (49).
Moreover, SPD matrices form a convex cone and not a vector space.
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Hence the chosen rows and columns in the original data matrix form a solid block when combined.
The covariance matrix, which is symmetric positive definite matrix, forms a Riemannian manifold.
Moreover, cells had migrated deep into the matrix, forming a three dimensional, branched and interconnected cell community.
The piezoelectric particles are then fully surrounded by the polymer matrix, forming a so-called 0 3 composite (Newnham et al., 1978).
The commercial polysiloxane (S) on both stones penetrates into the crystalline matrix, forming a very thin layer which covers homogeneously the stone crystals (Fig. 5a c).
In sample 1, round-shaped Fe-Ni-S inclusions dispersed in the olivine matrix, forming a load-bearing framework (LBF) texture.
Few-layer MoS2 nanosheets are highly dispersed on the N-doped graphene/porous g-C3N4 nanosheet matrix, forming a two-dimensional multilayered nanostructure.
The scanning electron microscopy image showed a unique structure, where the vertically embedded stacked silicate layers fall down to the PBSA matrix, forming a corn-flake like structure.
The as-cast SF-F matrix formed a mainly β-sheet structure that was similar to the SF-M matrix, whereas the as-spun SF-N matrix had a random coil conformation as the predominant secondary structure.
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