(The only valid alternative for sampling state paths from the posterior distribution would be to use the backward algorithm [ 13] instead of the forward algorithm and to then start the stochastic back-tracing procedure at the start of the sequence in the Start state).
The only two valid alternatives for long-term funding at the time of the assessment were (1) continued support through an externally funded project, or (2) development of a public-private partnership between the major mining companies and the Mozambican Government.
It is only through a thorough understanding of the current reality that valid alternatives or solutions for improvement can be formulated.
Expert-based models offer an alternative solution to process-based and empirical models, but their decision rules are only valid for the local conditions for which they have been derived.
And, at the end of the month, California passed a bill that legalizes bitcoin and other alternative currencies, nullifying a provision of state law that declared the U.S. dollar the only valid currency for transactions.
Ideas are only valid if they fit into media schedules.
A performance is, she said, "only valid in that moment".
(This package is only valid for Sunday through Tuesday arrivals).
But, suddenly, The Times owns the only valid opinion.
Yet we regard elections as the only valid method.
