Sentence examples for systems are equivalent from inspiring English sources

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.

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 conclude by mentioning that Barbu et al. [10] proved that Hyers-Ulam stability and the exponential dichotomy of linear differential periodic systems are equivalent.

We note that the solutions of (1) and (12a) and (12b) coincide since the two systems are equivalent to each other.

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.

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.

The process of constructing optimal systems is equivalent to the classification of the vector l = bigl( {{l^{1}},{l^{2}},{l^{3}}} bigr), (21) by means of the transformations (15), (18), and (19).

As we will see in the body of the paper, the problem of the cell radius determination in WCDMA systems is equivalent to a problem of capacity assignment among different services.

The efficiency of the proposed procedure, which in complex systems is equivalent to the number of calls to the deterministic solver, is high due to the optimized sampling process which is employed in conjunction with a Bayesian, statistical learning component.