Sentence examples for implies the desire for 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.

*Text messages imply the desire for an immediate response, generally within one hour but preferably within 20 minutes.

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

if K is sufficiently large and ε 0 is suitably small and since 0 < δ < 1 2. From (4.1), we know that the estimate for N 2 ( t ) implies the desired estimate for N 1 ( t ).

Thus, we see that ( c, c ) is a global minimum of the function P or equivalently P ( x, y ) ≥ P ( c, c ) = 0 for all ( x, y ) ∈ ] 0, 1 ] 2, which implies the desired inequality for ( x, y ) = ( a, b ).

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

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.

From identity (9) it is obvious that ζ 1 ( 0, τ ) = ζ 2 ( 0, τ ) for each τ ∈ ( 0, T ]. Hence the difference of these formulas implies the desired result. □. This lemma with identity (14) implies the following.

From definition (18), it is obvious that z 1 1 ( 1, τ ) = z 1 2 ( 1, τ ) for each τ ∈ ( 0, T ]. Hence the difference of these formulas implies the desired result. □. This lemma with identity (23) implies the following conclusion.