Sentence examples for improved the conjecture from inspiring English sources

In [8], Li et al. improved the conjecture τ ( A ∘ A − 1 ) ≥ 2 n when A − 1 is a doubly stochastic matrix and gave the following result: τ ( A ∘ A − 1 ) ≥ min i { a i i − s i R i 1 + ∑ j ≠ i s j i }.

For the L2-boundedness it is sufficient that|Dαa|⩽Cαg−α.This goes in the direction of Howe's conjecture and improves the results of Howe and Manchon.

It is found that for a graphene resonator whose size is D ≥ 150 nm, the increase of actuation amplitude enhances the frequency shift of a graphene resonator due to mass adsorption, which is consistent with our conjecture that nonlinear vibration improves the detection sensitivity of a graphene resonator.

We conjecture that removing low PM10 concentration zipcodes would likely further improve the estimation but the desire for completeness in the syndromic coverage area resulted in their inclusion.

Combining the above theoretical and experimental results, we conjecture that the deterministic matrix F constructed by MCSGD algorithm further improves the detection performance of MOMMP algorithms.

When fractional frequency reuse (FFR) is applied to the cell edge, it is conjectured that BS cooperation, or a coordinated multipoint (CoMP), will further improve the system performance.

I will not stop the conjecture".

The conjecture still does not follow.

The conjecture involves elliptic curves defined over the rational numbers.

Poincaré didn't make much progress on proving the conjecture.

One approach is to prove the conjecture wrong.