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So here is a reasonably edited and formalized version of what I wrote.
If this is read arithmetically, the direction from left to right is just the formalized version of Gödel's second incompleteness theorem: if a sufficiently strong formal theory T like Peano Arithmetic does not prove a contradiction, then it is not provable in T that T does not prove a contradiction.
At times, she describes unions as if they are simply, and marvellously, a formalized version of community: a way for workers to take better care of one another.
In 1963, Dr. Goodwyn helped create the Democratic Coalition, a more formalized version of the multiracial grass-roots groups that had come together for Don Yarborough's 1962 campaign.
The annual gathering of gospel practitioners, a formalized version of more frequent "singings," draws amateur vocalists for a weekend of religious celebration without organized dogma.
On the city's courts, the twins' exclusion has provoked equal amounts of outrage and self-examination about the collision of the freewheeling world of street handball and the more formalized version played in high schools.
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To support our position, we report our experience with formalizing a version of the Datrix Schema.
Sessions's statement formalizing a version of a long-feared pot crackdown put the onus on lawmakers, however, citing "Congress' determination that marijuana is a dangerous drug and that marijuana activity is a serious crime".
1. We might formalize this "generalized" version of exclusive disjunction as a prefix quantifier that can range over any number of formulae, and is true if and only if exactly one of the formulae within its scope is true.
As for compatibility with older wireless-network cards and devices, the N1 Vision router uses the current draft version of the 802.11n networking standard, which has yet to be formalized, and upgrades to the finished version aren't guaranteed.
These categories from the basic research were formalized in the four constructs of the current version of the URSSA.
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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