Sentence examples for under the present assumptions from inspiring English sources

It is easy to see that under the present assumptions this semi-linear heat equations has a unique solution (see [1, 2]).

Under the present assumptions, we can find three non-zero mutually orthogonal tripotents (e_{1}), (e_{2}), (e_{3}) with (e_{1}+e_{2}+e_{3} =e).

Under the present assumptions, β and δ are sufficient to characterize myeloma bone disease.

Cue-dependent cooperation did not persist at any patch size under assortative mating under the present assumptions, but diverse cues and relatively high rates of cooperation were maintained if mating was disassortative and patches were small.

Since functional profiling methods do really produce results, one may conjecture that the results that are being obtained under the present unrealistic assumptions are only an underestimation of the results that could be really obtained if functional classes were properly tested.

An observation of the negative in-plane Poisson's ratios for wavy laminated composites reinforced with carbon fibers is presented under the given assumptions of CLT.

Under this assumption, the present results support the kinetoplastid opisthokont clade (tables 4 and 6).

Given the present results and under the same assumptions, 466 cases of DCIS would be needed to achieve the optimal study power of 80%.

Input design, identification algorithms, and their essential properties are presented under the assumptions that the distribution function of the noise is known and the nonlinearity is continuous and invertible.

Input design, identification algorithms, and their essential properties are presented under the assumptions that the distribution function of the noise is known and the threshold values of set-valued sensors are known.

Hence, in the present study, under the assumption that FGF-2 would regenerate both hard and soft tissues, the rate of increase in alveolar bone height was established as the most important outcome measure.