Sentence examples for assumptions specified from inspiring English sources

The model is coupled with flexible front-end device that generates constraints corresponding to assumptions specified by the user and report writers that facilitate the presentation of the resulting schedule.

Under a number of assumptions specified, the extension applies to solutions Uμ(t) that can be written as sums of singular components cμt−1/2 (with unknown coefficients cμ), and nonsingular components ¯¯¯¯Uμ(t).

(d) The assumptions specified in part (d) of Theorem 2.1 are satisfied for the feasible solution (tilde{mathcal {S}}) of (DI), (bar{phi }(a)> 0 Rightarrow a > 0), and the function (xi rightarrow Phi (xi,tilde{x},tilde{u},tilde{v},tilde{w})) is ((mathcal {F},beta,bar{phi },bar{rho },theta,m)) -quasisounivex at (tilde{x}).

The assumptions specified in part (a) of Theorem 2.1 are satisfied for the feasible solution (tilde{mathcal {S}}) of (DI), (bar{phi }(a)> 0 Rightarrow a > 0), and the function (xi rightarrow Phi (xi,tilde{x},tilde{u},tilde{v},tilde{w})) is strictly ((mathcal {F},beta,bar{phi },bar{rho },theta,m)) -pseudosounivex at (tilde{x}).

(b) The assumptions specified in part (b) of Theorem 2.1 are satisfied for the feasible solution (tilde{mathcal {S}}) of (DI), (bar{phi }(a)> 0 Rightarrow a > 0), and the function (xi rightarrow Phi (xi,tilde{x},tilde{u},tilde{v},tilde{w})) is ((mathcal {F},beta,bar{phi },bar{rho },theta,m)) -quasisounivex at (tilde{x}).

(c) The assumptions specified in part (c) of Theorem 2.1 are satisfied for the feasible solution (tilde{mathcal {S}}) of (DI), (bar{phi }(a)> 0 Rightarrow a > 0), and the function (xi rightarrow Phi (xi,tilde{x},tilde{u},tilde{v},tilde{w})) is ((mathcal {F},beta,bar{phi },bar{rho },theta,m)) -quasisounivex at (tilde{x}).

Change a few assumptions, specify the model somewhat differently, and you may get a radically different result.

These two assumptions specify the weak sparseness model by bounding our lack of prior knowledge on the signal distribution.

Instead, (ii) and (iii) should be considered technical assumptions specifying the properties of the estimated networks.

On the optimistic side [ 28], the Brookings assumption specifies that the number of years with disability would remain constant: as life expectancy rises, the number of years without disability would increase by a similar amount.

The premise specifies the assumptions under which this behaviour is realised.