Given the starting point, I think this is a very good outcome.
While the increments/decrements are conditionally independent given the starting point X i t k, the random variables D i (t k ) are not independent of each other.
Given this common starting point, Salmon is quite persuasive in arguing that it is arbitrary to hold, as Hempel does, that only individual outcomes with high probability can be explained.
Given this false starting point, they ring disaster alarm bells, shout "the USA is broke," and argue the only solution is to massively downsize the Federal government and savage entitlements such as Medicare and Social Security.
"Given our starting point, given our aspirations, our portfolio is somewhat unbalanced," explains David Coulter, J.P. Morgan's head of investment banking.
For a given feasible starting point the distributed RPCD algorithm converges to an optimum solution within one step only.
Given a starting point in such a domain, the resulting steepest descent path is represented by a sequence of segments terminating at a local minimum.
Given a starting point, the algorithm considers a random parameter perturbation and calculates the resulting change in the system energy (i.e., objective function).
This gives a starting point for resolving (I_{text{p}}) in respect of ϕ, by comparison of the original and modeled (I_{text{p}}) (Eq. 8).
Given that the starting point of this work was the Braden scale, it is notable that of its six sub-scales, many have parallels in interRAI PURS: mobility (walking); nutrition (weight loss); friction/shear (bed mobility).
