Sentence examples for expressed as the combination of from inspiring English sources

In the present paper, a comparison of predicted results with experimental data indicates that the Fatemi Socie parameter expressed as the combination of the shear strain amplitude and the normal stress on the critical plane estimates crack initiation life and damage locations more accurately than other theories.

Therefore, the covariance matrix can be expressed as the combination of these five components.

In a traditional network, it is practically impossible to unambiguously discern the intent of a network operator (or tenant), which is implicitly expressed as the combination of all protocol configurations over all distributed network devices.

In a general situation, it is difficult to make a direct analysis on the scattering matrix, and then it is always expressed as the combination of scattering responses [S] i of simpler objects.

In one study (Yun et al, 2008), physical activity levels were expressed as the combination of activity frequency and duration.

To determine the cable tension, the Singular Value Decomposition (SVD) is performed on the equilibrium matrix A, and the cable tensions can be expressed as the linear combination of the independent states of self-stress [22].

Y i, the admittance of node i against the ground, can be expressed as the linear combination of decision variables α l as well.

The generalized auxiliary field contains two free constants and can be expressed as the linear combination of a widely used auxiliary field and a new auxiliary field, which are referred to as the crack face traction-free auxiliary field and the zero mean stress auxiliary field, respectively.

On one hand, for any vector x ∈ S ( x 0, g ~ ), there exists a stepsize α  ∈ ℝ, such that x is expressed as (18); on the other hand, for any α  ∈ ℝ, the projected gradient step x can be expressed as the linear combination of x 0 and g ~, which means x ∈ S ( x 0, g ~ ).

As proved in[5], the optimal beamforming vector should be on the plane spanned by h i and h j, so w opt can be expressed as the linear combination of q 1,q 2 w opt = cos θ q 1 + sin θ e j ϕ q 2, θ ∈ [ 0, π 2 ), ϕ ∈ [ 0, 2 π ). (53).

Accordingly, the trial functions denoting the displacement components are expressed as the linear combinations of simple algebraic polynomials.