For a family of generic models, the so-called Q±-class, in which the Fourier transform of the bounded potential is non positive-definite, the ultrasoft particles can form clusters.
end{aligned}The second term on the right hand side is non-positive since the integrand is non-positive.
Observe that the first limit is nonnegative and also the second limit is non-positive.
end{aligned} (11) The right-hand of side of (11) is non-positive for a.e.
By the same argument the term (nu _lcdot n_{kl}) is non-positive.
Reference [16] deduces that operator (S_{alpha}(t)) is non-positive by Lemma 2.1.
After several algebraic steps, we find that the inner bracket is non-positive whenever q>0 and h≤0.
In what follows, we show that the derivative (V_{i}(t)) along the solution of system (1.3) is non-positive.
However, this analysis is also more complicated because it results in a subjective interpretation of results if the block variance component is non-positive.
A CAT ( 0 ) space is a generalization of the Hadamard manifold, which is a simply connected, complete Riemannian manifold such that the sectional curvature is non-positive.
end{aligned} (14) Thanks to the previous result and to the hypotheses on the external source, the right-hand of side of (14) is non-positive for a.e.
