Similarly, integrating with respect to position gives a definition for the work done by a force: W=\int_{\vec{x}_1}^{\vec{x}_2}{\vec{F} \cdot{\mathrm{d}\vec{x}}} which is equivalent to changes in kinetic energy (yielding the work energy theorem).
Changes in probe-set fluorescence intensity are equivalent to changes in taxon relative abundance between samples.
We tested the hypotheses that alcohol induces changes in miRNA-mRNA interaction networks in mouse frontal cortex and that some of the changes observed in the mouse brain are equivalent to changes occurring in similar brain regions from human alcoholics.
In this study, we tested the hypotheses that ethanol consumption induces changes in miRNA-mRNA interaction networks in the mouse frontal cortex and that some of the changes observed in the mouse are equivalent to changes in similar brain regions from human alcoholics.
Using regression equations given in Table S1, we found that those changes in the values of climate change indicators would be equivalent to elevation changes of several hundred meters (up to more than 900 m) or to changes in temperature during breeding season averaging 2.9°C (Table 4).
Second, because the but-for experiment turns out to be equivalent to a change in the factor endowment of a hypothetical economy, it is meaningful to compare the scale of recent trade-induced changes in Aeffective@ factor supplies with actual changes in real factor supplies.
