Sentence examples for be approximated in terms from inspiring English sources

For example, the effects of solvent molecules not explicitly present in the system being simulated would be approximated in terms of a frictional drag on the solute as well as random kicks associated with the thermal motions of the solvent molecules.

This paper presents a nonlinear controller, which can be used to control single-input single-output nonlinear systems that can be approximated in terms of Hammerstein models.

Using B-spline expansion technique, the output PDFs can be approximated in terms of dynamic weights of B-spline neural network by which a nonlinear model can be established between input and weights.

To close the theory, the tensor ρ k+1) needs to be approximated in terms of lower order tensors.

(16) A function square integrable in ([0, 1]) may be approximated in terms of the normalized Bernstein basis (14).

Seeger et al. [17] suggested that a student's t distribution can be approximated in terms of a Gaussian distribution, we therefore use a zero-mean multivariate Gaussian distribution to approximate the sparse prior of q t, where (q_tsim prod _1^N{mathcal {N}(0,c)}.) The constant value c is determined by the level of variations q t.

To enhance the quality of approximation, the Rayleigh quotient is approximated in terms of some intermediate variables, using the two-point approximation.

Then lim N → ∞ u N ( x ) = u ( x ) under the condition A + | β | T + T B ≪ 1. Proof Since the known functions a ( x ), g ( x ), and b ˆ 0 ( x ) are approximated in terms of shifted Legendre polynomials, then the obtained solution is an approximated polynomial in the form of u N ( x ).

The displacement field is approximated in terms of a set of mesh-free kernel particle functions.

The nonlinearities in the system dynamics are taken to be unknown, and are approximated in terms of radial basis functions (using a particular neural-net architecture).

Non-Condon transition dipole couplings between excited neutral and ionic states are approximated in terms of the coefficients for configuration interaction, depending on electron correlation.