Sentence examples for under conjecture from inspiring English sources

At α = 0, all schemes reduce to EP. Figure 3 compares the outage performance of the WCMS scheme (assuming Gaussian signaling) with the outage capacity (under Conjecture 1) obtained using full search (FS) for a centralized MIMO channel.

Recently, Chen and Li contributed their interests on Thompson's conjecture under a weak condition.

In this paper, we prove the Cîrtoaje conjecture under other conditions.

This result gives an improvement for Alon, Babai, and Suzuki's conjecture under the nonmodular.

As a corollary, we confirm Elliott's classification conjecture under reasonably general hypotheses which, notably, do not require any inductive limit structure.

In this paper, we will prove this conjecture under the additional condition that μ ( f ) < 1 2. Theorem 1 Let n ∈ N and let f be a transcendental entire function of order ρ ( f ) < 1.

Under the above conjecture, to find the outage capacity, we only need to find the real diagonal matrix Ω, which is a simpler task than finding a full matrix F. It can be done by exhaustive search when the size of H is relatively small.

As an application, we prove that the ancient weak solutions of axi-symmetric Navier Stokes equations must be zero (which was raised by Koch, Nadirashvili, Seregin and Sverak (2009) in [15] and Seregin and Sverak (2009) in [26] as a conjecture) under the condition that b∈L∞([0,T],BMO−1).

Under this definition, our conjecture becomes as follows.

MAS admits a 2-approximation, and this approximation is optimal under the Unique Game Conjecture.

Here we present the following new results, both giving positive answers to Conjecture 2 under additional hypotheses.