Sentence examples for bound on the second from inspiring English sources

If (mu ^* le mu ) (i.e. if one had a possibly crude lower bound on the second eigenvalue), then (6.2)/(6.4) (Rightarrow |lambda -eta _varphi | le epsilon _varphi ^2(mu ^*-eta _varphi )^{-1}) so long as (eta _varphi < mu ^*).

Moreover, we obtain a lower bound on the second largest eigenvalue of the resistance-distance matrix of complete multipartite graphs.

In Section 5, we obtain a lower bound on the second largest eigenvalue of the resistance-distance matrix of complete multipartite graphs.

In this section we find a lower bound on the second largest eigenvalue of the resistance-distance matrix of complete multipartite graphs.

As an initial attempt, we can obtain a lower bound on the second variation by ignoring the orthogonality (langlephi, {mathbf{Q}}thetarangle=0) satisfied by ϕ and bringing in the first Dirichlet eigenvalue.

Let Ŝ 2 ≥ E s h, Λ 2 be a bound on the second moment of the norm of the stochastic subgradients s(h,Λ) and assume the same hypotheses of Theorem 1. Sequences p ( N ) and x ( N ) are such that: (i) Feasibility.

According to the prevailing interpretation of current Republican National Committee rules, though, delegates are bound on the first ballot by the results of their state's nominating contest.

While delegates are bound on the first ballot according to the results of state primaries and caucuses, they are unbound on subsequent ballots if a contested convention occurs.

It was in response to this that the RNC mandated then that delegates be bound on the first ballot in those states where voters registered a preference.

Nebraska's delegates are bound on the first two ballots at the national convention, however, once the state convention picks them.

That is, in this case we get an increasing relationship between the amount of money the consumer burns and the lower bound on the second-order belief of the expert.