Sentence examples for certain modification of the from inspiring English sources
A general result in (Richter 2016) says that O_{S} A)=intlimits_{G(A)}hat{h}_{hat{K}}(N x dx where hat{K}={lambda x: xin Grad(S), 0leqlambdaleq 1}text{,quad }Grad(S ={nabla h_{K}(x), xin S} and hat{h}_{hat{K}}(t)=infleft{lambda >0: tin lambda hat{K} right},, tin text{pos } hat{K} is a certain modification of the Minkowski functional of (hat {K}).
It is based on certain modifications of the characteristic equation that accompanies any given discretized version of the wave equation.
Valid inferential methods in this setting are the analytic asymptotic variance estimator of Abadie and Imbens (2006a) as well as certain modifications of the standard bootstrap, like the subsampling methods in Politis and Romano (1994).
Poland would not, in principle, oppose certain modifications of the constitution of the City, which would be only of minor importance to Poland because they would not compromise vital Polish interests (Customs control transit facilities).
However, a precise process design and optimization as well as certain modifications of the technology are still needed to tackle certain limitations like the control of the porosity of scaffolds from certain low molecular weight biopolymers.
5, we summarize our main results and also point out some research opportunities arising from certain modifications of the principal minmax model investigated in this study.
Certain modifications of the olefin were also tolerated.
In order to correctly describe the long-term dynamics of BCR-ABL1 transcript levels, certain modifications of the model are unavoidable.
The condensations and codes were then subjected to critical discussion within the research group, resulting in certain modifications of the codes.
With certain modifications of the analysis from [5,20,42], we transfer these error estimators from the symmetric coupling to the Johnson Nédélec coupling and can formulate and prove the according results.
Some studies have reported successful first trial performance, while others have shown that certain modifications of the experimental procedure can substantially improve the subjects' performance revealing capabilities not previously reported.
