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Klein's insight, following von Staudt, was that an exactly similar argument involving quadruples of collinear points can be used to define cross-ratio in projective geometry.
The key insight following Boudon's (1974) separation of primary and secondary effects in inequality of educational opportunity is that middle class students can attain low grades and still be more likely to pursue an academic career than working class students receiving better grades.
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Is there any stranger form of public pronouncement, when you really stop to think about it, than the kind of "unqualified apology" just issued by Niall Ferguson, celebrity historian and purveyor of wrong insights, following his remarks about John Maynard Keynes at a conference in California last Thursday?
Erroneous assignments of samples to a taxon-specific field unit may result from misidentification in the field or in light of novel insights following later analyses leading to the re-circumscription of a taxon.
Toward that end, we wondered if our four owners might benefit from meeting with Ms. Martin, and whether readers might also gain insight from following their interaction with a coach.
Elsewhere in that same episode, as my friend Andrew Ervin noted, is the observation that "A man of genius makes no mistakes; his errors are volitional and are the portals of discovery," though I'll contend that this is Stephen Dedalus's insight and, following Kenner, that it's figured as callow.
Moreover, there was no difference in the magnitude of insight occurrence following sleep and daytime -consolidation in aged participants.
To gain insight the following simplifying assumptions are used: (a) The shielded potential has exponentially decaying profile on the Debye length ∼λD scale; (b) the peak-to-peak shielded voltage is a given function of the carrier density and the intrinsic polarization strength and (c) excitonic effects are ignored.
Finally, cells were stained intracellularly with the FITC-conjugated antibody anti-Tax protein Lt-4 diluted 1/100 and antihuman FoxP3-PE antibody (clone 236A/E7; Insight Biotechnology) in permeabilization buffer (Insight Biotechnology) following the manufacturer's protocol.
This analysis gives insights into following three areas: firstly, it identifies the genes that are likely to cross hybridize during the microarray hybridizations.
Although the decision to reanalyse the data had come from insights developed following initial data collection, caution is required when interpreting some of the findings.
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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