Sentence examples for matrices are expressed from inspiring English sources

Explicit expressions for the elements of these four matrices are expressed in terms of elastic stiffness for general anisotropic materials.

The coupling matrices are expressed as: Γ n = i ∑ n r - ∑ n a. Open image in new window (5).

The proposed method allows the user to generate the loci of singular configurations of any kinematics chain whose Jacobian matrices are expressed analytically.

{f mec e } and {f elec e } represent the external mechanical and electric forces (i.e., all the matrices are expressed in "Appendix").

The scattering matrices are expressed in terms of three input impedance matrices defined with respect to the fluid scatterer interface: one impedance matrix describes the scatterer and two matrices characterize the fluid.

Mousavi et al. [30] propose a method called hesitant fuzzy AHP (HF-AHP) in which decision-makers' (DMs) evaluations for comparison matrices are expressed by linguistic variables and then judgments are aggregated by utilizing the hesitant fuzzy geometric operator.

Then the distance between two rank matrices is expressed by using 1-norm as follows: (3).

The size of matrices is expressed via their subscripts, whenever necessary.

Hereunder, the mathematical equation for constructing Hamiltonian, and overlap matrices is expressed: H_{IJ}^{alpha beta } = leftlangle {varphi^{alpha } left| {H(n)} right|varphi^{beta } } rightrangle (1) S_{IJ}^{alpha beta } = leftlangle {varphi^{alpha } left| {varphi^{beta } } right.} rightrangle.

The elements of the approximation matrix are expressed in Eqs.

The conjugate, transposition, and conjugate transposition of the matrix are expressed by three markers, T, and † respectively.