Sentence examples for m owing to from inspiring English sources

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By assumption (iii), for every (xin M) we infer that (z=JAxin M) owing to (z=F z,Ax)), i.e. (JA(M subset M).

Cheng et al.'s ([1999]) expressions are quite cumbersome because they are given in terms of the surface spherical harmonics Y n m in polar coordinates and because they contain phase-factors like i | m | − m owing to their unconventional definition for the Y n m which implies Y n − m = Y n m ∗ instead of Y n − m = ( − 1 ) m Y n m ∗.

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and long fluorescence lifetime (1.302 ms), owing to the favorable degree of energy matching between the triplet excited level of the ligand and the resonant level of Tb III) ions.

Under a confocal Raman microscope, this concentration yielded a very high SERS signal with very low power at the sample (1 μW) and an acquisition time of 10 ms owing to the extraordinary optical activity of the pyramids.

The thermal conductivity of pure Fe3O4 was as low as approximately 6 W/m · K at 300 K, owing to phonon scattering by local disorder in the materials, thus implying that pure Fe3O4 is a promising TE material.

This value is four times lower than that of the homologous bulk material (approximately 11 W/m∙K at 280 K), owing to the strongly enhanced boundary scattering via phonons, charge carriers, and bipolar diffusion induced by the nanoscale crystal grains and the thickness reduction [18, 21], which in turn results in a greatly reduced thermal conductivity of the Bi thin films.

Then point (M') jumps to point (M^) owing to impulsive effect, and thus the successor function of point M is f(M =y_{M^-y_{M}=ctau>0.

This value indicates that benzyl benzoate is not fully monomerized with 100 m m NDSB, owing to its stronger tendency for oligomerization and aggregation; this is consistent with the fact that the activity of chymotrypsin in the enzymatic assay was not fully recovered at this NDSB concentration.

The fluorescences of P1 and P4 were quenched to 50 (I0/I) and to 22 (I0/I) upon the addition of a Ni2+ solution of 3.2 × 10−6 M, as well as 5.0 × 10−6 M, respectively, owing to the different conjugated backbone.

The fluorescences of P2 and P3 were completely and hardly quenched upon the addition of a Al3+ solution of 1.0 × 10−4 M, respectively, owing to the different receptors in the side chain.

Heterodimeric CAPNS1/CAPN1 and CAPNS1/CAPN2 have been named μ- and m-calpain, respectively, owing to the micromolar versus millimolar levels of Ca2+ required for their activation [ 1].

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