Sentence examples for the last relation from inspiring English sources

With the help of the last relation, we have (2.19).

The last relation is valid for ν ρ + 1 > − 1.

Since is monotone, we obtain from the last relation (3.18).

The last relation above is called the subdifferential inequality of f at x.

Using the Pochhammer symbol, we obtain the last relation (ii) as requested.

The last relation proves that the sequence { x i } converges to x ∗. □.

The last relations (39 - 40 39 - 40s the followingivestem of equsthens followingng the dependence of (V_{n,alpha }^{( pm k)} ) and (V_{alpha} ^{(mp k)}).

Now applying for this last relation the Shakalikov multiray Tauberian theorem (see [6]), we get N ( tau ) simsum_{k=1}^{v} N_{k} ( tau ), quad taurightarrowinfty, where (N_{k} ( tau ) sim c_{k} tau^{frac{1}{2}}) with (c_{k}) as before.

We prove this last relation.

If we try the Constitution by its last relation, to the authority by which amendments are to be made, we find it neither wholly national, nor wholly federal.

Now we prove that, in accordance with last relation, the function constitutes the limiting value of an analytic function in Re .