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In Fig. 6, the entropy values are very high for the clusters containing controls together with projected patients, whereby soft projection and hard projection behave identically.
Named, for obscure reasons, after an insurance company, "The Chittendens" shows actors in four different projections behaving in ways that seem comically bizarre at first.
Timing results indicate that all the projections behave like O N3) algorithms up to at least N=200 spectral truncation.
In Fig. 3, we can see that the hard projection (yellow) and soft projection (green) behave very similarly.
Our argument combines this result with the existence of some nicely behaved projections onto the compact convex subsets of a global NPC space.
These include tracing axonal projections and synaptic connections, monitoring electrical activity, and non-invasively activating or shutting off neurons in behaving animals with optical methods or chemical ligands [ 117, 132, 133].
The two eyes in this case are behaving as a single eye, "the cyclopean eye," situated in the centre of the forehead, and one may represent the projection of the two separate retinal points, fL and fR, as the single projection of the point fC of the cyclopean eye.
How are they behaving?
Or behaving.
How are people behaving?
One implication of this projection bias is that people behave differently when in hunger or satiation.
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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