Sentence examples for need auxiliary from inspiring English sources

First, we need auxiliary lemmas.

To prove the theorems, we need auxiliary results.

Here, it is worth to recall from our discussion in the Introduction that revealed preference methods are intrinsically "nonparametric": in contrast to the more standard functional-derivative based methods, they do not need auxiliary parametric or statistical assumptions.

But SHW is unstable due to changing outdoor climate, which needs auxiliary heat source to meet continuous hot water demand.

Furthermore, the model accounts for determining the type and size of the central cogeneration unit, thermal storage unit, the needed auxiliary units, as well as the operating conditions.

Fifty-four perevealedvealed that their goods can have their volume classed as "medium" (1 person per unit) and 7%% as "big" (more than 1 person per unit or needs auxiliary equipment).

65%% revealed that goods can have their weight classed as "medium" (1 person per unit) and 11 % as "heavy" (more than 1 person per unit or needing auxiliary equipment).

For this reason, we justify in more detail the employed novel formulation of the fully discrete variational inequality and deduce the needed auxiliary results for stiffly accurate Runge Kutta and hp-finite element discretisations.

Imperfective verbs need an auxiliary to make their future tense.

To fully recharge these devices, you need an auxiliary source that meets or exceeds that capacity.

Here we need some auxiliary functions.