Sentence examples for certain modifications of the from inspiring English sources
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.
Later, other authors have considered certain modifications of this concept which are sufficient to verify new peculiar qualities (see [7]).
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}).
As the Ursulines spread throughout Italy and France, certain modifications of form took place, although the aim and the spirit of the founder were preserved.
By certain modifications of a well-known mosaic crystal model and careful experimentation it was shown that absolute X-ray reflectivity of CVD diamonds can be quantified and related to microstructural parameters, which describe imperfections of the crystal lattice [1,2].
Certain modifications of diet such as eating more fruits, vegetables, and legumes (e.g., peas and beans) and less red meat and saturated fats can increase the odds of avoiding cancer.
