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The important property of positive definiteness is checked in the paper erroneously, so that the conclusions inferred are wrong.
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So is his son, Sam Stovall, Chief Investment Strategist at Standard & Poor's and editor of S&P Outlook, despite the bearish signal from another popular bit of market lore: the January Barometer, sometimes simplified (erroneously) as "so goes January, so goes the year".
The explanation that is provided is frequently factually erroneously, or so vague as to be incomprehensible.
He was a single person, but the information for him erroneously included children, so I added children to his record.
"We now live in a time where those two cultures are seen – somewhat erroneously – as polarised, so it fits well with a body-swap theme.
Private Passions has forced me too to think about how erroneously we categorise music, so that while professional devotees of a Boulezian bent might not care for Shostakovich, Poulenc or Britten, the amateur music lover could not give a monkey's for these strictures of fashion but gaily mixes and matches all in the wonderful untutored innocence of self-found experience.
He grew more expert in bird identification, for example going from applying European names to South American species and genera (often erroneously, sometimes even consciously so), to adopting local names instead and finally, by trip's end, becoming familiar with the published ornithology of western hemisphere birds including the families utterly endemic to the region.
Diagnoses of tuberculosis in asymptomatic individuals that were obtained using liquid culture could arise erroneously from laboratory contamination, so we determined the clinical course for such patients.
We unreservedly withdraw any praise we erroneously gave her for doing so without embarrassment.
But should a cyborg officer so much as erroneously issue a speeding ticket, he and his electronic colleagues would surely be summarily melted down and their metal used to make candlesticks.
To fend off sharks, for example, you want to use "anything you have in your possession" to make "quick, sharp, repeated jabs" on or near the sharks' eyes or gills — not on the tips of the sharks' noses, as so many people erroneously assume.
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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