Sentence examples for an essential relation in from inspiring English sources

The last Equation (2.27) is an essential relation in the proof of the theorem, because the theorem is established if we prove that 1 2 π ∮ L n ∫ 0 π r ( x, ξ, λ ) f d ξ d λ tends to zero uniformly, x ∈ [0, π].

Passions are in us, Malebranche maintains, because we have an essential relation to our bodies.

Although electrochemical stability is an essential factor in relation to the potential applications of ionic clathrate hydrates to solid electrolytes, most studies regarding the proton conductors have focused on their ionic conductivity and thermal stability.

Our focus was on the assessment methods, and an essential topic in relation to generalizability of our results is the severity of the patient symptoms and the variability in the sample.

This distant homology detected only at the structural level allows us to put forward a hypothesis whereby the ancient fold type of MBLs, possibly devoted to an essential function in relation to RNA processing, has been duplicated and modified to accommodate new substrate specificities and new reactivities.

The answer involves a reference to their essential relations to each other in the universe of beings, that is by the essential place they occupy in the chain of beings in which every being is essentially ordered to some other being as either its cause or its effect.

Just as NAFTA cemented ties with our neighbors and showed that the United States would not turn inward after the fall of the Soviet Union, the Trans-Pacific Partnership can be an essential bonding agent in our relations in Asia.

SINCE Heisenberg's uncertainty relations play an essential part in quantum mechanics, especially in the discussion of the dual wave-particle aspect of matter, the derivation of these relations is of importance.

This would be an essential condition in a realistic and coherent strategy for rebuilding bilateral relations.

Relations between central, regional and local authorities are an essential factor in the future of the Federation.

(Pt 12) All the women mentioned social relations as essential in relation to their health, but experienced the pain as interfering with the abilities to create and maintain social relations.