Sentence examples for this relation implies from inspiring English sources

Moreover, this relation implies that it is possible to reach an apparent contact angle of 180° as soon as the product r cosθ reaches −1 (as shown in Fig. 7).

According to the theory, this relation implies that after cell 3jumps down, cell 2 jumps up and down, and then cell 3 does the same again before cell1 jumps up, as observed in the simulation.

This relation implies that the highest grass DM yield is obtained where all the C. mopane trees are removed.

Indeed, if, then the relation implies that.

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

Defining the quality factor (Q) of attenuation as (7) Eq. (5) yields (8) This last relation implies that (9) which restricts the value of β for any attenuating wave with a given value of Q.

This dependence relation implies (but is not identical with) the supervenience relation or relations: (a) two aesthetically unlike things must also be nonaesthetically unlike; (b) something couldn't change aesthetically unless it also changed nonaesthetically; and (c) something could not have been aesthetically different unless it were also nonaesthetically different.

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.

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.