Sentence examples for matrix along the from inspiring English sources

Exact(27)

The Pt-NWs grew on the matrix along the thickness direction with a length of 10 20 nm and a diameter of 4 nm.

In this case, rapid quenching during the thermal spike process inhibits recrystallization at the interface between the melted core and the crystalline matrix along the ion path, resulting in amorphization.

The influence of the external magnetic field led to ordering of the ferromagnetic nano oxides upon the polymeric matrix along the lines of the magnetic field, which could be useful for medical applications.

The particle-shaped Tb-rich precipitates are formed and dispersively distributed in the matrix along the (sub-) grain boundaries; preferred 〈100〉 orientation is achieved in the alloys by appropriate directional solidification process, which makes contribution to improve the magnetostriction.

The "load transfer back" phenomenon is found for the nanohybrid shish-kebab structure, which can be attributed to the redistribution of the axial loads according to the variation of elastic modulus of matrix along the axial direction.

Robust stability of systems with both plant and controller perturbations, and stability analysis of a class of multilinear disc polynomials are unified in the same framework, and can be solved by computing the largest norm of a second-order matrix along the imaginary axis.

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Similar(33)

For HF calculations, the construction of the Coulomb matrix and exchange matrix along with the diagonalization of the Fock matrix are the three most time-consuming steps, while the diagonalization of the Hamiltonian matrix scales as O(N).

After all, complex V normally lowers Δψm by allowing protons to flow back into the mitochondrial matrix along with the gradient produced by the other complexes.

To calculate the background weight matrix in [B], we directly add the weighted paths to the weight matrix along with the Monte Carlo simulation, instead of storing all the photon trajectories.

(a) The two dimensional distribution of the square correlation matrix; (b) the profile selected from the square matrix along with the 512th row.

DP Matrix (Fig. 1 middle): It shows the filled DP matrix along with the backtrace path of the currently selected optimal alignment.

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