Prove Here we use the Lyapunov-LaSalle invariance principle
to prove that [E.
1,2) In this article, we provide evidence that consumers violate the invariance principle
when making an extremely important financial decision near retirement: when to claim Social Security benefits.
By using Lyapunov functionals and LaSalle's invariance principle
, the threshold conditions for the global asymptotic stability of infection-free equilibrium [E.
Applying LaSalle's invariance principle
immediately leads to the global asymptotic stability of [E.
One tool to be used here LaSalle's invariance principle
Another was the extension of the invariance principle
to accelerating observers: the laws of nature themselves should be identical for all observers, regardless of the magnitude or direction of their acceleration.
It follows from LaSalle invariance principle
 that the infection-free equilibrium [E.
of this model states that metaphorical mappings preserve the cognitive topology (that is, the image schema structure) of the source domain, in a way consistent with the inherent structure of the target domain.
For time-invariant dynamical systems the invariance principle
can be used to relax the strict negative-definiteness condition on the Lyapunov derivative.
Thus, the invariance principle
holds in Regime D because revenue sharing has no effect on the distribution of talent and thus does not affect pre-shared club revenues.
In section 2 we develop a formal public choice model of voter behavior and preferences for sports team subsidies, which leads to the location invariance principle
In the cognitive blending model, the invariance principle
, constraining the integration network against image-schematic clash in its required inputs and outcomes, apparently specifies at least one mandatory aspect or element of blending: image-schemata.