Sentence examples for implies the desire from inspiring English sources

Unhappiness, after all, often implies the desire for change — in circumstances, or even in oneself — and so dissatisfaction with life despite its material benefits suggests a kind of idealism — of intellectual vision of possibilities beyond the actual — that would, at the very least, match up with even the most superficial or stereotypical view of French culture.

The fact p ∗ > p implies the desired conclusion.

The above inequality implies the desired result of this lemma.

Hence, the difference of these formulas implies the desired result.

This implies the desired estimate (3.38) for 0 < γ < 1. □.

which together with − [ x ] q = q x [ − x ] q implies the desired result.

It follows from this and (35) that sum_{kgeq0}|g_{k}|^{2}< infty, which implies the desired result.

end{aligned} This estimate together with (4.1) implies the desired result.

From (3.1), we know that the estimate for N 2 ( t ) implies the desired estimate for N 1 ( t ).

with the constant C Q, p, λ > 0. It is clear that the inequality (2.6) implies the desired conclusion.

From (8) and (9), we obtain k c d ( g ( x ), g ( u ) ) d ( x, u ) < k, which implies the desired result.