Sentence examples for and hence it does from inspiring English sources

From this it follows that ( R, d ) is not ℱ-forward compact and hence it does not fulfil condition (3.10.1).

The CFE does not account for the subchannel index k in (30), as the MLE does in (28), and hence, it does not deploy the complete received information.

The Random Walk model is memoryless it generates an unrealistic movement pattern, and hence it does not match real-life applications.

Since LND is small molecule, it is not naturally immunogenic, and hence it does not elicit an immune response unless coupled with some macromolecules such as proteins.

The theory takes into account the effects of small scale and the quadratic variation of the transverse shear strains through the thickness of the nanoplate and hence, it does not require the use of shear correction factors.

In this case the matrix (mathcal{M}=mathcal{A}+mathcal{D}+bar{kappa}mathcal{G}) is not invertible, and hence it does not satisfy conditions of Theorem 2.5 in [27].

In spent Fe(III)–Mt, basal spacing d001 value was almost same due to small amount of MB dye adsorbed on the surface area and hence it didn't show a significant peak using XRD analysis.

The moderator analyses were performed for random-effects model because this meta-analysis sought also to reveal the relative effectiveness of ECE due to formulated moderators, and hence it did not assume that the effect size will be the same for all studies.

It is a non-parametric model, and hence it did not necessarily require parameter searching.

This technique avoids necrosis and resorption of the incorporated graft and the new osteogenic process; hence, it does not weaken.

Hence, it does not introduce additional processing complexity and delay.