Sentence examples for equivalence of all from inspiring English sources

This asymptotic equivalence of all three invariant metrics is definitely known to be false, in general.

where in the last inequality we use the equivalence of all norms on the finite dimensional subspace Y k.

One could consider belief contexts a separate problem, but most authors see it as part of the problem of equivalence of all tautologies.

The value of E is taken in this approximation as a constant, which means an equivalence of all hydration centers of the MCC crystals surface.

This implies that, unlike RIP, the uniqueness assumption is not in essential conflict with equivalence of all linear systems (lambda Ax=lambda x), (lambdainmathbb{R}).

In principle, if full recovery was possible, phantom calibration should lead to equivalence of all databases, no matter what reconstructions or quantification methods was used.

The equivalence class of all theories mutually interpretable with T is called the interpretability degree of T. The interpretability hierarchy is the collection of all theories ordered under the relation ≤.

The equivalence class of all theories mutually interpretable with T is called the interpretability degree of T. For ease of exposition we shall make three simplifying assumptions concerning the theories under consideration.

Also, for any module C, the subset C [ → Y 〉 epi of C [ → Y 〉 consisting of the right equivalence classes of all right C -determined epimorphisms ending in Y is a coideal which is closed under meets. Since C [ → Y 〉 is a lattice of finite height, we see that C [ → Y 〉 epi has a unique minimal element, say [ f 0 〉 and our first aim will be to describe η C Y ( f 0 ).

For each (Ain {mathcal F}{mathcal S}({s_0,s_1})), we denote ([A]buildrel mathrm{def} over = {Bin {mathcal F}{mathcal S}( {s_0,s_1}): h(B =h(A)}) as the equivalence class of all frequent itemsets having the same closure h(A) and for each ({L} in {mathcal F}{mathcal C}{mathcal S}({s_0,s_1})), we have ({[L]}:= {L^{prime } subseteq L: L^{prime } ne varnothing, h(L^{prime })=L}).

In Section  3, we provide a characterization of the equivalence class of all stable AR systems associated with a given singular spectrum.