The phrase "authors prove that" is correct and usable in written English.
It can be used when discussing research findings or conclusions drawn by authors in academic or scholarly contexts.
Example: "In their study, the authors prove that regular exercise significantly improves mental health."
Alternatives: "authors demonstrate that" or "authors establish that".
The authors prove that ARACNe reconstructs regulatory networks exactly (asymptotically) if the effect of loops in network topology is negligible, and they show that the algorithm works well in practice, even in the presence of numerous loops and complex topologies.
Advantages and shortages of the both methods are presented, although the authors prove that microcontrollers should be taken into account as a cheap, reliable and flexible solution to assure control of industrial objects.
The authors prove that Boris Biryukov and his colleagues were the first scholars who drew the attention of the research community to the logic-based research performed by N.M.
The authors prove that on condition of proper technique training and experience it is possible to design and produce pile fields characterized by minimal materials consumption thus saving 10-15% of zero circle estimated cost and cutting the time required for construction.
In [23], the authors prove that either.
The authors prove that the problem formulation is NP-hard.
Matrix equation (2) was studied in [15], and based on some conditions, the authors proved that matrix equation (2) has positive definite solutions.
By applying the Manásevich-Mawhin continuation theorem, the authors proved that equation (1.2) has at least one positive T-periodic solution.
In this study, the authors proved that inhibition of caspase-3 reduced GluA1 dephosphorylation and removal from the PSD, and also reversed hippocampal function deficits at the onset of AD.
