Sentence examples for approximated in terms from inspiring English sources
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 flowability is independent of cement content and approximated in terms of w/wL and air content in logarithmic function.
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).
Failure probabilities are approximated locally in terms of the design variables during the optimization process in a parallel computing environment.
The convection terms are approximated in finite difference form employing third order upwind scheme in space and Adams Bashforth scheme in time.
The nonstandard scheme relied on the following important rules: the standard denominator h in standard discrete derivative is replaced by a denominator function 0 < ϕ ( h ) < 1, where ϕ ( h ) = h + o ( h 2 ) ; the nonlinear terms are approximated in a nonlocal way using more than one mesh point.
It is well known that the non-standard scheme satisfies the following important rules: the standard denominator h in standard discrete derivative is replaced by a denominator function (0terms are approximated in a nonlocal way using more than one mesh point (see [31, 32]).
ANN is universally applicable for modeling nonlinear responses whereas RSM approximates responses in terms of an explicit quadratic function of the independent experimental factors (Marchitan et al. 2010; Maran and Priya 2015).
