Sentence examples for extremely small values of from inspiring English sources

A special feature of the present analyses is that extremely small values of the initial void volume fraction are considered, down to 10−10, which means that the metal undergoes huge strains before coalescence.

It is shown that for twins lying on {111} planes in a half-space for which the surface normal is (001) there is an excellent agreement between the two solutions except for extremely small values of the twin spacing which are never encountered in practice.

Obviously, it is also small for extremely small values of σ n.

Corresponding to extremely small values of q, the first region of instability is bounded by the curves a = ± q + 1 (49).

Mainly based upon aerodynamic derivatives and flutter analysis, this paper clarifies that the extremely small value of A∗2 can cause this type of flutter instabilities.

Due to a small number of training datasets required for developing an ANN model, the proposed methods are very effective, particularly when a structural response evaluation entails costly finite element analysis or when a problem has a extremely small value of failure probability.

Due to the extremely small value of C∞ for Pb in Al (0.19 at.% at 601 K) [30], the supersaturation and nucleation regimes should already be finished after a short implantation time, i.e., at a low implantation fluence.

We notice that mathematically, there is potential numerical instability in Eq. (29), which is caused by the fact that a large output error, i.e., ( |!W(theta _{s})^{-0.5} (y_{k} -C theta _{s} m_{k}^ (theta _{s}))|!>>1), induces an extremely small value of p k,s.

Contrary to θI, all pairwise comparisons showed extremely small values for θII, indicating no clear evidence of the occurrence of type-II functional divergence between any UCP clusters in teleost fishes.

Since this method of normalization produces extremely small values, the result was multiplied by a scaling factor of 100, which produced spot percentage volumes or intensity.

Moreover, sin(α/2) is a higher order term of the already extremely small value α and therefore can be negligible compared to tan.