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Since for and for , then , and we are finished (note that we proved above that ).
Proof If for some n 0 ∈ N, T n 0 − 1 x 0 = T n 0 x = T ( T n 0 − 1 x 0 ), then T n x 0 = T n 0 − 1 x 0 for n ≥ n 0. Thus, T n 0 − 1 x 0 is a fixed point of T, the sequence { T n x 0 } is convergent to T n 0 − 1 x 0, and we are finished (note that T n x 0 = T n 0 − 1 x 0 for each n ≥ n 0 ).
Once the analysis is finished, note that the "Analysis" column is unchecked for both models and the "Results" column is checked for both models, indicating that parameter estimates and model fit statistics are available.
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She finished notes with smiley faces and had insightful conversations with perfect grammar.
Your finished notes can be shared as images over e-mail, Twitter or Facebook, or sent as PDF files.
The finishing note softens the aching ambivalence of Saint-Exupéry's story.
I'd finish noting something I liked about the show, but then I'd have to jot down one of the more melodramatic contrivances that I'd sighed (or giggled) about.
Other providers held their problem list edits to the end of the encounter (or even to the end of the day or, less commonly, the end of the week when they finished the note for that visit).
The MKZ was finished, he noted, in the new studio.
"As you move from first draft to finished speaking notes the speech undergoes a transformation.
"Liverpool have gone through this season losing only two league games yet still finished second," noted Graeme Kennedy in 2009.
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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