Sentence examples for be expressed as partial from inspiring English sources

Accordingly, the technique is found to be appropriate for financial models that can be expressed as partial differential equations of integer and fractional orders, subjected to initial or boundary conditions.

The proposed technique is appropriate for different financial models that can be expressed as partial or ordinary differential equations of integer and fractional orders, subjected to initial/boundary conditions.

Effect sizes for F-statistics and differences in mean scores will be expressed as partial η and Cohen's d, respectively.

The continuity equation is expressed as partial C/partial t=nabla left({boldsymbol{K}}_{mathrm{dif}}nabla Cright -nabla left(boldsymbol{U}Cright -nablaa C+varPhi, in which C is concentration, K dif indicates three-dimensionaleftffusion terms, U denotes the wind field, λ is the decay constant, and Φ is a re-suspension term for individual radionuclides.

The effect sizes revealed by the analyses of variance were expressed as partial η (η p).

Estimates of effect sizes from significant correlates were expressed as partial Eta squared (ηp), which describes the proportion of total variability in the dependent variable attributable to the factor.

Therefore, the SBS will schedule the SR with maximum ρ ~ m = h m α m P p ( g ~ T ) + N 0 and the ergodic sum rate can be expressed as C Partial BC = Pr G outage E log ( 1 + P Partial ρ ~ max ) G outage (17) where ρ ~ max = max m ρ ~ m and PPartial is the SBS's transmission power allocated to the SR with maximum ρ ~ max.

In less frequent circumstances, a HERV gene may be expressed as a partial or complete open reading frame (ORF), which can result in translation of the corresponding protein [10], [11].

This model can be expressed as a set of partial differential equations (Technical Appendix 1), with rate parameters governing the movement of the population between model states.

In the situation (U_0 simeq U_1) at hand we have the additional feature that every (mathfrak {osp} -Casimir element I can be expressed as a bracket (I = [ partial, F ]) where (partial ) is the holomorphic exterior derivative when we view (mathfrak {osp} -Casimirthelementex of K-equIvariant holomorphicanifferential forms on (V_0,).

The above hydrodynamic equations can be expressed as a general expression shown below frac{partial }{partial {x}^left varphi {u}^right)+frac{partial }{partial {y}^left varphi {v}^right)=S+frac{partial }{partial {y}^left(Nfrac{partial varphi }{partial {y}^right) (8 where φ is the dependent variable, N is the diffusion, and S is the source term.