Before the Lagrangian reformulation is used to solve an optimization problem, it is important to understand when and why it is equivalent to directly solving the original constrained optimization problem.
We have found that this computation is equivalent to directly including all these factors in the final group analysis for the purpose of examining the effects of the variables of interest.
The cost of delivery and direct observation of antiretroviral therapy was assumed to be equivalent to that described for tuberculosis-related directly observed therapy [45], [46].
At equilibrium, the partial pressure of each volatile component in the headspace vapor will be equivalent to the vapor pressure that is directly proportional to its mole fraction in the liquid phase.
Grandmont [8] argues that in his setup, voting over tax schemes is equivalent to voting directly over income distributions.
In our next theorem we will give another proof of (2.5) based on the fact that (2.5) in fact is equivalent to (2.3) and it directly follows that the constant p p - 1 - a p in (2.5) is sharp.
In this model, the offshore wind farm is equivalent to 10 sets of directly driven wind turbines with permanent magnet synchronous generators (PMSG) with a rated power of 2 MW, sending out voltage and current with FF of 50/3 Hz.
Some well-regarded groups, including NRDC, Joe Romm, and David Roberts of Grist have been implying that the giveaway of permits to utilities (also called "local distribution companies" or LDCs), representing 30% of permits (trillions of dollars), is equivalent to giving the money directly to consumers.
For the simulations, the hydrodynamic coefficients of the vehicle and the wave force moment on S-SWATH are updated based on Salvesen, Tuck and Faltinsen strip theory, which is equivalent to measuring the approaching wave elevation directly.
It can be directly checked that (2.2) is equivalent to (H_{c} phi_{x})=0).
