Sentence examples for by applying the modified from inspiring English sources
The solution of this problem is obtained by applying the modified generalized Laguerre collocation method.
The local noise sensitivity of the wavelet subband (boldsymbol {Z}^{1}_{2}) is computed by applying the modified HVM in last subsection.
We performed a relatively objective assessment of mental nerve paralysis by applying the modified SW perception test reported by Semmes and Weinstein [11, 12].
This paper addresses the fresh behaviors, gel structure, strength, porosity and drying shrinkage of alkali activated slag-fly ash composites designed by applying the modified Andreasen & Andersen model.
The local noise sensitivity (boldsymbol {S}^{1}_{2}) of the wavelet subband (boldsymbol {X}^{1}_{2}) is then computed by applying the modified human visual model (HVM) in [18].
We also estimated the p-value, which is a parameter related with the attenuation of aftershocks, by applying the modified Omori formula (Utsu, 1957) to earthquake data from the occurrence of the mainshock to March 31 , 2011
Consider recovering x ‡ from y ‡ =A x ‡ by applying the modified-CS with the known support T∪{ i e }, we denote the RP as P T ∪ { i e } ( x ( 1 ) = x ‡ ; A, N ∪ { i e } ).
Adding an error i e ( i e ∈ T c ∖Δ) in set T, the RP is denoted as P T ∪{ i e }(x(1)=x∗ A,N); Given any vector x ″, whose support is N∖{ i r }and i r ∈N, consider recovering x ″ from y ″ =A x ″ by applying the modified-CS with the known support T, the RP is denoted as P T (x(1)=x∗ A,N∖{ i r }).
Geoffroy et al. (2013a) extended the study of Geoffroy et al. (2013b) by applying the following modified version of the two-layer model proposed by Held et al. (2010): Cfrac{dleft varDelta Tright)}{dt}=F-{lambda}_{mathrm{eq}}varDelta T-{varepsilon}_0H left(mathrm{upper} mathrm{ocean}right) (26) {C}_Dfrac{dleft varDelta {T}_Dright)}{dt}=H left(mathrm{deep} mathrm{ocean}right) (27).
In many practical cases, the measurements y are corrupted by bounded noise, then we can apply the modified SOCP or the group version of basis pursuit denoising [30] program as the following: min x ∥ y - Φ x ∥ 2 2 + λ ∥ x ∥ 2, 1, (8).
