Sentence examples for help to derive from inspiring English sources
We establish some sufficient conditions for the existence, positivity, and permanence of solutions, which help to derive the global exponential stability of positive periodic solutions for this model.
Modifying the continuity equation and motion equation and adding the scalar potential of initial flow help to derive the analytical wave vectors of the P- and S waves.
Using new data containing the attributes mentioned above will help to derive key parameters in order to discover correlations and dependencies between certain hub characteristics and the specific role of hubs in the transport process.
Condition (iii) in this theorem can help to derive an estimated region of period T and switching rate, where each binary can guarantee the exponential stability of system (2.13).
The clear record of the final stages of sedimentation and ancient pedogenesis within profiles of soils in bipartite sediments may help to derive paleoclimatic interpretations from the last interglacial - glacial cycle till present.
Remote sensing can also help to derive output metrics.
We grouped the vulnerabilities types in vulnerability categories, which helps to derive better prediction models.
This helps to derive more reliable and high performance output model.
It also helps to derive more accurate mass estimates from appropriately binned spectra and, finally, to map the dispersion in MBH and Eddington ratio across the quasar population.
Integrating the equations and decomposition for the fluid solid displacements helps to derive the analytical wave vectors of the fast P, slow P, and S waves in porous media.
Deduction and induction, then, come into play at the later stage of theory assessment: deduction helps to derive testable consequences from the explanatory hypotheses that abduction has helped us to conceive, and induction finally helps us to reach a verdict on the hypotheses, where the nature of the verdict is dependent on the number of testable consequences that have been verified.
