In order to formulate the stability of Ky Fan's points as an equivalent stability of Ky Fan's section theorem, the maximum Hausdorff metric of the inequality functions is also defined as (rho_{1} varphi _{1},varphi_{2})=rho_{s}(E_{varphi_{1}},E_{varphi_{2}})=sup_{xin X}H_{d}(E_{varphi_{1}}(x),E_{varphi_{2}}(x))) ((varphi _{1},varphi_{2}inM}thcal{M})).
By construction of the rejection sampling, all identified parameter sets shared equivalent stability properties of the wild type and genetic knockout strains.
The predicted differential stability between the multifrequency patterns was evident in the initial acquisition sessions but by the end of training the two patterns evidenced equivalent stability.
Mean stability of this class of systems is analyzed, showing that it is equivalent to stability under arbitrary switching of a suitably defined deterministic switching system.
Additionally, bioabsorbable sutures facilitate revision surgery, avoid the risk of dislocation with permanent fixation gadgets and posses equivalent primary stability to non-degradable suture anchors [ 5, 21].
In the following two lemmas, by linearity of C P ( 0 ), we get an equivalent definition of stability and uniform stability of C P ( 0 ).
From Table 1, the nanoscale CL-20 presented equivalent thermal stability, which implies that GO or rGO have little influence on the thermal stability of CL-20.
Moreover, we show how the results of a factorial analysis can be used to obtain a measure of pattern stability, the equivalent of 'cross-decoding'.
A few examples of equivalents follow:.
From Theorem 3.1 in [7] it follows that the boundedness of equation (2) is equivalent to the stability of its zero solution.
Tumblr soon started to suffer from a lack of stability, with its equivalent of Twitter's "fail whale" - the screen presented when the service was over capacity - becoming a common and frustrating sight for users.
