Sentence examples for matrix and finally from inspiring English sources

Thereby, voids nucleate, grow by plastic deformations of the surrounding matrix and finally the voids coalesce.

The second step computes the thermal conductivity of the UD composite formed by the equivalent SiC fibers embedded in a SiC matrix, and finally the thermal conductivity of the as-formed SiC/SiC composite is obtained by averaging the solution for the UD composite over all possible fiber orientations using the second-order fiber orientation tensor.

The model independently encodes manufacturing capabilities and product features digitally, associates classification trees of systems and products, simplifies manufacturing capabilities and product features' relationships to obtain a "Synthesis Matrix", and finally uses that matrix for future system synthesis and product design.

To address this challenge, a semi-discrete Kansa method is developed to approximate the two-dimensional spatiotemporal FDE, where the Kansa approach first discretizes the FDE, then the Gauss Jacobi quadrature rule solves the corresponding matrix, and finally the Mittag-Leffler function provides an analytical solution for the resultant time-fractional ordinary differential equation.

Discontinuous recrystallization is manifested by recrystallized grains appearing in the deformed matrix and consuming the matrix, and finally the entire region is converted to recrystallized grains (Humphreys 2004).

More steam was injected in the case of wider fracture spacing and it was attributed to the invasion and drainage from matrix and finally, he recommended more study.

This differentiation process can be divided in a proliferation, matrix formation, matrix maturation and finally a mineralization phase, according to the model of Stein and Lian [44], [45].

The chitosan bonded microspheres produced were then heated at 500 °C for 3 h to burn off the organic matrices and finally sintered at 1,100 °C for 1 h to obtain a porous structure.

Healing is initiated by an inflammatory response followed by the recruitment and differentiation of skeletal stem cells, the production of cartilage and bone matrices, and finally remodeling of the matrix.

Nevertheless, as seen in the in vitro data, the highest instance of neovascularization in small vessel convergence and growth occurred with medium that was obtained from collagen-GAG matrices followed by fibrin matrices and, finally, chitosan films.

In this section, we propose a M-ZP-OFDM receiver that has access to CSI at the transmitter side, such that, at the transmitter side, the zero-padded information symbols are multiplied by the set of matrices C2,land sent through the channel, processed by the circulant matrix H′ and finally multiplied by the the set of matrices C1,lat the receiver side to exploit the underlying multipath diversity.