Sentence examples for implied by the conditions from inspiring English sources

Note that the conditions for all are implied by the conditions in (13).

It is noteworthy that the continuity of t is actually implied by the conditions (2) and (3).

Note that the conditions for all are implied by the conditions in (6): multiplying to both sides of the first inequality, we have for all, which, together with other inequality conditions in (6), imply (7).

Property (iii) is direct since any equilibrium point of (1.1) in R 0 + implies and is implied by the condition g ( x ) = 0.

(1) The condition of being rigidified implies the condition (H^0 (Theta _Y)=0) (else there is a positive dimensional Lie group of biholomorphic self maps), and is obviously implied by the condition of being cohomologically rigidified.

Applying part (b) of condition (4) of this theorem, and from ( w i, x − i ) ⪯ S ( w i, y − i ) that is implied by the condition x ⪯ S y, we obtain that P i ( w i, x − i ) is a maximal element of P i ( S i, x − i ) ; that is, w i ∈ T i ( x ).

The total time frame, composed of disease duration and lead or lag time, if applicable, is important because TTO values are often found to vary with it [ 11, 17, 18], notwithstanding the fact that the QALY model predicts them to be independent of the time frame, as implied by the condition of constant proportional trade-offs (CPTO).

Reconfiguring teaching profession results in a new model of teaching skills implied by the new conditions.

The Reconfiguring teaching profession results in a new model of teaching skills implied by the new conditions.

By a careful analysis of the form of the current implied by the boundary conditions satisfied by the solution of Poisson's equation, we generalize previous results and show that irreversible redox processes at a self similarly rough (fractal) electrode give rise to a skewed arc plot in the complex impedance-plane.

Note that the last KKT condition relates to the long-term average power constraint which must be met with equality as implied by the optimality condition.