Sentence examples for Strictly stronger. from inspiring English sources

The topology of is strictly stronger than the topology of induced by the river metric.

Z is strictly stronger than Mac Lane set theory; the former theory proves the consistency of the latter.

We now use Theorem 3.2 to show that, in general, ℱ-exhaustiveness istrictlyly stronger than weak ℱ-exhaustiveness.

The paper concludes with an example which demonstrates that the condition of being torsion in the Grothendieck module is strictly stronger than having rational Poincaré series.

Observe that extended Lipschitz metrics are complete and extended Lipschitz metric convergence is, in general, strictly stronger than uniform convergence on bounded sets.

This applies to (mathfrak{G }), but it is of little interest in this case since the property of (i) is strictly stronger).

If (lambda _{0}>0) and (lambda_{i}geq0) for (i=1,2,ldots,s), then (sum_{i=0}^{s}lambda_{i}varphi_{i}) is strictly strong convex of order m at x̄.

Suppose that (varphi_{0}) is a strictly strong convex function of order m and (varphi_{1},ldotsi_{2},ldots, varphi_{s}) are strongly convex functions of order m at x̄.

(a) φ is strictly strong convex of order m at x̄ if there exists a constant (c>0) such that, for each (xin X) with (xneqbar{x}) and (xiinpartialvarphi(bar{x})), varphi(x -varphi(bar{x -varphilexi,x-bar{x}rangle+c|x-bar{x}| ^{m}.

(b) φ is strictly strong quasiconvex of order m at x̄ if there exists a constant (c>0) such that, for each (xin X) with (xneqbar{x}) and any (xiinpartialvarphi(bar{x})), varphi(x leqvarphi(bar{x}) quad Rightarrowquad langlexi,x-bar{x} rangle +c|x-bar{x}|^{m}< 0.  .

φ is strictly strong convex of order m at x̄ if there exists a constant (c>0) such that, for each (xin X) with (xneqbar{x}) and (xiinpartialvarphi(bar{x})), varphi(x -varphi(bar{x -varphilexi,x-bar{x}rangle+c|x-bar{x}| ^{m}.