Sentence examples for second and third bounds from inspiring English sources

The second and third bounds are formulated as nonconvex problems.

(4.3) Indeed, the right hand side for this inequality in (4.3) follows from Corollary 1, while the left hand side one is the inequality connecting the first and third bounds in (4.2).

In summary, the result in [6] states that, provided the second and third moments of are bounded, then tends to the normal distribution.

Finally, the performance of the third and fourth-order bounds is examined in three numerical examples.

Moreover, we find sharp bounds for the second and third coefficient in these classes.

In Brooklyn, off Ocean Parkway, a block of mostly one- and two-family homes bounded by East Second and Third Streets and Avenues O and P recorded an increase of 65 vacancies, to 70 from 5, and a decline in population of 57, to 283 from 340.

Note that the map g : N 1 3 13 3 × R × R → R. is continuous and bounded in its second and third variables.

where (13), (14)–(16), and (17)–(19) are the corresponding third, second, and first order cut-set bounds (respectively).

I am British first, second and third.

They finished first, second and third.

The first and third terms are bounded, and the second term tends to zero by Step 3. Hence, (mathbf{C^{n}_{2}}to0).