Sentence examples for elementary relations from inspiring English sources

The exhaustive presentation of these elementary relations grounds aesthetics as a science.

Next, based on experts' estimation of elementary relations among projects over periods, we derive mathematical formulae for covariances among projects and periods.

In the next section we establish elementary relations among the concepts of boundedness, lacunary statistical boundedness and lacunary statistical convergence of sequences of numbers.

Our knowledge of logical laws is more probable than our knowledge of other psychological laws only 'because we experiment, throughout our life, daily and every hour, with these elementary relations between phenomena of consciousness' (1905, 33).

This fact is usually expressed by saying that identity is not a first-order or "elementary" relation.

The observation that a pyridine content which was less than equimolar sufficed to cause the proton wave to disappear may be shown to be due to the geometry of the ring-disc electrode and follows from an elementary relation for this arrangement.

The following elementary embedding relations hold: l^{p}subset l^{q}, qquad Vert u Vert _{l^{q}}leq Vert u Vert _{l^{p}}, qquad1le ple qle infty, quadmbox{where } Vert u Vert _{l^{infty}}:=max_{ninmathbb{Z}^{m}} vert u_{n} vert.

Clearly, the following elementary embedding relations hold: l^{p}subset l^{q}, quad Vert u Vert _{l^{q}}leq Vert u Vert _{l^{p}}, quad 1 le ple qle infty,text{ where } Vert u Vert _{l^{infty }}:= max _{nin Z^{m}}vert u_{n} vert.

The elementary force displacement relation of each fibril is considered to obey the peeling theory of a tape, although other refined constitutive relations could be invoked for the adhesive constitutive response without any lack of generality.

Even the simple, elementary properties and relations of numbers often demand sophisticated mathematical tools.

These elementary concepts, "elements", "relations", "annotations" and "contexts" can be defined freely or use existing structured, controlled vocabularies (ontologies).