A more complex methodology was used by Borchers et al. (2013) for the invalidation of models and for parameter estimation.
The President pointed out that had it not been for invalidation of processing taxes and the bonus the "picture would have been considerably brighter".
As we use it as a threshold for invalidation of models, proving to be robust against small changes in the parameters is very important.The overall results of our simulations study with the toy model suggest that SPCA predictions within a traditional stratified cross validation framework perform very well as a threshold measure which can be used to invalidate too simple models.
However, it is noteworthy that (T_{Omega,N}) is not uniformly bounded in (L^{p}(mathbb{R}^{3})) for (pneq2), which is the primary reason for the invalidation of Cannone's proof [7] in (dot{B}^{s}_{p,r}(mathbb{R}^{3})) with (pneq2) for our case, and similarly for (B^{s}_{p,r}(mathbb{R}^{3})) and (operatorname {BMO}^{-1}(mathbb{R}^{3})).
In the cases, Democratic lawyers ask for the invalidation of absentee ballots because Republican Party workers were allowed to correct absentee ballot applications.
The Court's invalidation of nuanced plans for creating racial diversity in the Seattle and Louisville public schools ignored the principle of equality of educational opportunity.
An appeals court refused to throw out an arbitration clause signed by a man who could not read or sign his name, reasoning that "illiteracy alone is not a sufficient basis for the invalidation of an arbitration agreement".
In a circuit court case involving a man in a Mississippi nursing home who could not read, write or sign his name, the judges held that under state law, "illiteracy alone is not a sufficient basis for the invalidation of an arbitration agreement".
At their request, the United Nations provided expert advice on procedures and criteria for the invalidation of votes.
And a military base is probably safe from protesters — though as a result of Russia's actions, opposition leader Vitali Klitschko has called for the invalidation of the current agreement allowing Russia to maintain its fleet in Crimea.
And a military base is probably safe from protesters though as a result of Russia's actions, opposition leader Vitali Klitschko has called for the invalidation of the current agreement allowing Russia to maintain its fleet in Crimea.
