The phrase "as a conjecture" is correct and usable in written English.
It can be used when presenting an idea or hypothesis that is not yet proven or established as fact.
Example: "The results of the experiment were inconclusive, leading the researchers to propose the findings as a conjecture."
Alternatives: "as a hypothesis" or "as a supposition".
Moreover, in the paper by Pierrot this result is proved in a stronger version that was only stated as a conjecture in our local global principle paper.
Further on, the solution of the stabilizing control is extended as a geometric control for the EHS tracking problem, but given the extreme difficulty of the problem, the proposed solution works only as a conjecture, well confirmed by numerical simulations.
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).
Wright states the idea as a conjecture; Kant integrated it in the correct Newtonian framework.
The stability of solution to equation (4.2) is ever proposed to consider as a conjecture by K.S.Berenhaut etc. in [7].
They left the forest problem as a conjecture, which was settled down by the second author in [5].
The asymptotic limits of the topological indices are determined as a function of N. A conjecture previously published on the asymptotic behavior of the Wiener index is experimentally confirmed.
[Author's response: The possibility of a protonucleus in a RNA LUCA is of course nothing more than a conjecture (as many developments in this field) but, as mentioned in the text, it is in keeping with Forterre's proposal on the emergence of DNA genomes via the intervention of viruses and it seemed appropriate to present our view in the perspective of this heuristic theory.
We observe that the family of graphs with bounded bandwidth are doubling, thus our main result can be viewed as a positive answer to a conjecture of Assouad (1983) [2], limited to this family.
For example, a mathematician working on a proof regards a conjecture as plausible if it "has some chances of success" (Polya 1954 (v. 2): 148).
As he writes, "A conjecture, then, is a positive assertion that participates in truth as it is, but in otherness".
