Sentence examples for matrix form the from inspiring English sources

After some mathematical manipulation, which is well known in the quantum optics, the following matrix form the Hamiltonian, and the density matrix are given as follows.

Modeled in a matrix form, the CCHP system can be viewed as an input output model.

When formulated in operator or matrix form, the Magnus expansion furnishes an elegant setting to build up approximate exponential representations of the solution of the system.

By formulating similar representation of matrix form, the equilibrium equation is simplified as the summation of gravitational stiffness block matrix and elastic stiffness block matrices remain unchanged.

Essentially by writing the equations of motion of one single layer in the L matrix form, the system of equations of motion of a laminated plate with any number of layers is generated in an efficient and automatic way.

In matrix form, the cyclic conjugate autocorrelation matrix associated with the data vector can be expressed as (3).

In WPCs, a polymer matrix forms the continuous phase surrounding the wood component.

The basement membrane (BM), a tough, unbroken sheet of extracellular matrix, forms the interface between the lamellar epidermis and the dermis.

The H matrix forms the history patterns for the PUs on the k number of channels.

The predicted hybrid performance values of the full diallel matrix formed the basis to search for promising heterotic patterns.

In molting animals, a cuticular extracellular matrix forms the first barrier to infection and other environmental insults.