Sentence examples for proved equivalent from inspiring English sources

For many classes of automaton, these forms of definition have been proved equivalent.

The performance of the algorithm proved equivalent regardless of patient size.

System P1, which is proved equivalent to the Lewis system S1, employs the propositional basis (PC), rules (a′) – necessitation of tautologies and axioms – and (b′), and axioms (2) and (3).

Even before Turing machines and all the other mathematical models of computation were proved equivalent, and before any statement of the Church-Turing thesis, Turing argued convincingly that his machines were as powerful as any possible computing device.

The mechanical behavior of the biobased thermosets proved equivalent to that of the DGEBA-IPDA reference sytem at low temperatures (up to 40 100 °C depending on the epoxy precursor and diamine).

Moreover, the symmetric positive-definite property of the coefficient matrix on an (N−1 -dimensional hyperplaN−1 -dimensional fundamental importance to thyperplanesedness of the models — can be proved equivalent to some physical condition for pairwhichsurface tensisns.

If the drugs are proven equivalent, the rebates might help slow the defection to the cheaper alternative.

New aircraft fuselage concepts have to prove equivalent crashworthiness standards compared to conventional metallic fuselages for certification.

If this estimator can be shown to be the BLUE and can also be proven equivalent to (hat {mathbf {x}}_{text {osp}-1}), then we can conclude that both of them are the BLUE.

Isabelle/ZF has been used to prove equivalent formulations of the Axiom of Choice, formulations of the Well-Ordering Principle, as well as the key result about cardinal arithmetic that, for any infinite cardinal κ, κ · κ = κ (Paulson and Grabczewski 1996).

And it turned out that with each year that went by, the advantage of two years of regimented reading-skills instruction evaporated, soon proving equivalent -- in terms of effects on test scores -- to "an intensive 1-hour reading readiness support program" that had been provided to another group.