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We assess the technological focus of patents along the core trajectory of knowledge generation, identified through a patent-citation network analysis, and link it to a classification of technological problems into different levels in the design hierarchy.
Given the core trajectory of each centrosome, we now go back to the full set of called objects and extend the trajectories forward and backward in time to obtain the full trajectories.
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Note carefully that we start the forward induction from χ∩ B(1) (i.e. the set of all core trajectory edges that have not been replaced by an exchange edge during the backward extension phase) and not B(1).
Every core trajectory, which is invariably the middle portion of a complete trajectory, is then extended to find the best set of complete trajectories over the set of all called objects.
We refer to this part of a trajectory as the core trajectory.
"We find a set of six core trajectories which form the building blocks of complex narratives," they say.
Putting – maybe – an end to a debate that has been ongoing for millennia, the researchers found there are "six core trajectories which form the building blocks of complex narratives".
The so established core trajectories include on average 86% ± 11% (SD) (n=40) of the centrosome objects of the complete trajectories that we wish to establish.
While it is desirable to establish as much of each trajectory as possible, it is more important that the core trajectories be error-free.
Occasionally, two non-overlapping core trajectories are found for a given complete trajectory in which case, after the extension step, they abut in time.
At its core, Islamism regards the historical trajectory of the Middle East as being essentially coterminous with that of Islam.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com