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Bostrom calls this the Technological Completion Conjecture: "If scientific- and technological-development efforts do not effectively cease, then all important basic capabilities that could be obtained through some possible technology will be obtained".
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The analysis of famous benchmark problems led us to the conjecture that Λ⩽O(l+m) could be a uniform upper bound for the completion time of job shop scheduling problems with l jobs on m machines.
Let X denote a simply connected compact Riemannian symmetric space, U the universal covering of the identity component of the group of automorphisms of X, and LU the loop group of U. In this paper we prove the existence (and conjecture the uniqueness) of an LU-invariant probability measure on a distributional completion of the loop space of X.
Although not ruling out a direct role in transcription elongation or replicational DNA break repair, our cell cycle data is consistent with the conjecture that the H3-K56 acycleation cycle plays an important role in signalling the completion of repair through chromatin reassembly at sites of double strand breaks [35] and implicates H3-S57 in the same pathway.
At the time of this writing (August 2014), all eyes are on Hales and his formal proof as he has just announced the completion of the Flyspeck project (Hales 2014, in Other Internet Resources) having constructed a formal proof of the conjecture using the Isabelle and HOL Light automated proof assistants.
That's conjecture.
Again, pure conjecture.
Completion time?
But this was idle conjecture.
But it's all conjecture.
Why? "Because it's conjecture.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com