The phrase "authors deduce" is correct and usable in written English.
It can be used when discussing conclusions or inferences made by authors based on evidence or reasoning in their work.
Example: "In their analysis, the authors deduce that the results indicate a significant correlation between the variables studied."
Alternatives: "authors conclude" or "authors infer".
Using this way the authors deduce a formula to calculate the reference torque, which is based on the variation of the system loads.
These authors deduce that the fault's present day lack of seismicity is likely a reflection of the slow rate of strain accumulation in a locked fault system.
Moreover, authors deduce that while market orientation de jure is crucial to performance, de facto are organizational learning and absorptive capacities.
In [8] the authors deduce the explicit formula in terms of the trichotomy projections for the solution of the nonlinear system associated with a system of difference equations which has weighted exponential trichotomy.
In conclusion, the authors deduce thus that if no outbreak has taken place so far, it is not due to the lack of efficient viruses, but it is rooted in the fragmentation of the call graph.
It may be of interest to note that the above authors deduce their Corollary from a set-valued version of Caristi's fixed point theorem, while we use Ekeland's variational principle (which is known to be equivalent to Caristi's fixed point theorem).
Moreover, the authors deduced the following 'modification' of the 1984 theorem from a result of Lin [40]: Theorem ([39]).
In [9 12], the authors deduced the existence of one or more positive solutions for fractional difference equations.
Based on the mechanisms of nucleation and crystallization, the authors deduced directions to develop of leucite-based, lithium disilicate and leucite-apatite glass-ceramics.
The authors deduced that the spatial autocorrelation of multilocus genotypes should be directly related to the clonal growth modes of the species.
Other authors deduced from the described mechanism that in stage four avulsion fractures should occur at the same rate as deltoid ligament ruptures [4, 20, 69, 123, 131].
