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If the systems were equivalent, that is, if healthcare was also free at the point of use in the ROI, one would expect a rise in demand, with increased costs, although the fact that healthcare is relatively price inelastic means that the increase in cost would be disproportionately less than the rise in demand.
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Moreover, he argues that all universal computing systems are equivalent; no calculating machine can be more powerful, no computer more sophisticated than the cellular automaton Mr. Wolfram describes.
Each of these systems is equivalent and it is possible to convert the coordinates from one system to another using a set of simple mathematical conversion functions.
Clearly, the two deduction systems are equivalent.
Note that the two random dynamical systems are equivalent by (3.19).
The above definitions on permanence and balancing survival in difference systems are equivalent to those usually for differential case (see, e.g., [41 43, 45, 47, 47, 48]).
We note that the solutions of (1) and (12a) and (12b) coincide since the two systems are equivalent to each other.
We conclude by mentioning that Barbu et al. [10] proved that Hyers-Ulam stability and the exponential dichotomy of linear differential periodic systems are equivalent.
To our surprise, we can observe that constraint qualifications of two DC inequality systems ({f_{i}-g_{i}le 0, i=1,ldots,m}) and ({F-Gle 0}) have a difference in spite of the two systems being equivalent.
Indeed, as delay minimization problems in IDNC-based systems are equivalent to a maximum weight clique problems in the IDNC graph, the presented algorithms can be applied to different delay aspects and network settings.
With delay minimization problems in IDNC-based systems being equivalent to a maximum weight clique problems in the IDNC graph, the presented algorithms, in this paper, can be applied to different delay aspects.
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