Sentence examples for relation imply from inspiring English sources

The principles for the (proper) part-of relation imply that complexes with the same parts are identical.

Indeed, if, then the relation implies that.

This together with the last relation implies that (lim_{krightarrowinfty}h_{r}(t^{k})=0).

First we note that relation implies that ∩ n F(T n ) is a singleton.

First note that the relation implies that ∩ n F(T n ) is a singleton.

This peculiar kind of relation implies that God and the relative self are inseparable but asymmetrically co-dependent.

end{aligned} The last relation implies (omega^{m}in(mathbf{C}^{n_{m}}_{theta_{m}})^), that is, (18) holds.

Since and are linearly independent on, the above relation implies that by Hölder's inequality, which proves the first conclusion.

Such relation implies an effect of the pre-Alpine aquifer on pressure and flow contributions of the intensely exploited phreatic system of the Venetian plain.

Note that the equivalence relation implies that the weighted sum-rate can be replaced with a optimization form with some additional auxiliary variables, see (14).

Since the second relation implies the first one, we also consider the universal C⁎-algebra T⁎ϑT generated by two isometries u and v with the weaker relation uv= e2πiϑvu.