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Symmetry is a demonstrably weaker constraint on probability than independence.
The possibility of punishing less than deserved is also normatively significant, but it provides a much weaker constraint.
The algorithm searches for an optimal solution by solving a series of LP-relaxation problems, in which the binary integer requirement on the variables is replaced by the weaker constraint.
It is shown that both of these critical issues can be overcome in a unified yet simple way, provided that the usual requirement of global asymptotic stability of solutions of model-observer system is replaced with a weaker constraint of mere set-attractivity.
The algorithm searches for an optimal solution to the binary integer programming problem by solving a series of LP relaxation problems, in which the binary integer requirement on the variables is replaced by the weaker constraint 0≤b k,l ≤1.
The weaker constraint is evident in the higher density and higher population frequencies of nSNPs in younger genes.
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for a new real sequence under the weaker constraints (3.16).
We will show below that (GRT) is also in conflict with weaker constraints on *, which are uncontroversially required by Ramsey in his own formulation of 'the Ramsey test'.
This observation suggests that weaker constraints should work on the 22- and 24-nt-MmiRNAs, leading to the generation of new miRNAs or alteration their functions.
Extensive numerical examples in both one and two space dimensions and analytical considerations based on the Wigner transform e ven show that weaker constraints (e.g., k independent of ϵ, and h=O are admissible for obtaining "correct" observables.
To find some weaker constraints to ensure the stability of a system, by using the inequality technique, Xu [18] investigated the attracting sets of a class of Volterra differential equations, and the relative stability conditions were further weakened.
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