Sentence examples for implies the quantity from inspiring English sources

The only difference with equation (13) is volatility v,which implies the quantity proportion of two types of metal and the correlation coefficient.

Furthermore, the amount of oxygen release also implied the quantity dependence of nano/microbubbles on the sizes and the hydrophobicity of the particles.

To prove this statement, consider a converging sequence to x ∗, then the continuity of the projection map and the continuity of the payoff function implies the continuity of the quantity (x_{i,t}frac {d_{i}}{Theta _{i,{t}}}).

The outpatient numbers per month, implying the average quantity of outpatients treated by a single village doctor, were included into the analysis to gauge the workload and the capacity of the village doctors.

He admits that the existence of any quantity always implies the existence of a substance, but he also believes that the actual existence of parts of a substance necessarily implies the presence of a quantitative form in it.

This implies the reinforced control of physics quantities like pressure profiles or magnetic island structures, which have to be reconstructed in real-time for this purpose.

The confirmation of the hypothesis of metric resolution should imply that the quantity or density of metric classes has a positive impact on a full and natural description of the represented dance.

A fractional saturation (or "dive severity") of 1.0 in any of the six "compartments" would imply that the quantity of nitrogen was high enough to require staged decompression.

Lemma 1 in the case χ = sgn, the fact that sgn(C k ) = ±1 ≠ 0 for all k, and the fact that two equal polynomials have the same coefficients imply that the quantity ∑ p ∈ M k (T ) ∏ i ∉ p (x - y d i (T ) ) is the same for both trees for all k.

In the quasilinear case we have by hypothesis that the sum of any (n-1) eigenvalues of (w = M[u]) is nonnegative which implies that the quantities (M^prime _2) and (M^+_2) are equivalent.

Proportionality implies that the quantities exp(b i) are called hazard ratios.