Sentence examples for conjectures under from inspiring English sources

These experimental observations lead to fairly definite and specific mathematical conjectures: Under suitable conditions (to be determined) on the set of predictors, the average number of people who actually go to the bar converges to the threshold value over time.

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

This paper presents a set of laboratory economics experiments to test Johannesson et al.'s conjecture under controlled conditions in which participants face an actual risk of financial loss.

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).

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.

Direct measurement of ZP is impossible; hence, ZP data are conjectured under the influence of an applied electric field from electrophoretic mobility of the charged NP.

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.

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

For system (1.1), we may conjecture that under assumption (1.4), the system can admit a unique globally attractive positive equilibrium.