Sentence examples for with respect to this element from inspiring English sources

Since ( S, d X ) is monodromy with respect to this element s ′ ∈ S, (14) implies that s ∗ = u ∗ ∈ F ( s ∗ ).

Interviewees with As concentrations ≤ 10 μg/L were informed that their tube wells were safe with respect to this element.

Interviewees with As concentrations > 10 μg/L (WHO drinking water guideline) were informed that their tube wells were unsafe with respect to this element, and the imminent risk of serious health problems from continuing to drink this water was thoroughly explained.

Completeness is expressed using a form of the Cauchy criterion for sequences in H: a pre-Hilbert space H is complete if every Cauchy sequence converges with respect to this norm to an element in the space.

Results showed that the responses of both cultivars were different with respect to the element accumulation concentration and accumulation times.

For a better knowledge of this evolution and, expecially, of the element origin, we have calculated the enrichment factors (EFs) with respect to the element abundance in the upper continental crust.

Therefore the mapping F is 2-regular at the point x ∗ = ( 0, 0 ) with respect to the element h = [ h z, h ε ].

The use of BCF is more significant compared to the metal amount accumulated in plants since it provides an index of the ability of the plants to accumulate metal element with respect to the element concentration in water [ 30].

To this end, let be the vector of partial derivatives of with respect to the elements of, where denotes the matrix derivative operator[28, Definition 2].

These results showed that TMWW had a residual effect with respect to these elements.

These differences with respect to the elements of regulated permissive regimes, are summarized in Table 1.