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Exact(1)
The vector c 1 s consists mostly of zeros, with a one only in the entry corresponding to the edge s, as the coefficient of moving in this direction remains 1, while all other moves are invalid by travelling over only one edge, and hence have coefficient 0.
Similar(57)
Provincetown, along with Somerville, Springfield and Worcester, had initially defied Gov. Mitt Romney, who says all licenses issued to out-of-state couples who do not intend to move to Massachusetts are invalid based on a 1913 law that says Massachusetts cannot issue marriage licenses to couples who are living where those licenses would be void.
"Any other designations are invalid".
These are invalid under the Unfair Contract Terms Act.
All of the signatures are invalid".
According to his office, the licenses are invalid.
So, Linda … are you implying that my actions are invalid?
So stop telling people that their beans are invalid.
The QuickDASH psychometric properties are invalid.
Chinese sponsors are invalid in Hong Kong.
The precision for optimal placement of remaining codes is not included in the averages; the second reviewer was not told to move codes for optimal placement, so this result would be invalid The informatician moved 11 of the remaining 402 codes.
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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