Sentence examples for and this concludes from inspiring English sources

Exact(14)

where and, and this concludes the converse.

Therefore, (19) is satisfied and this concludes the proof.

Finally, we show that strongly and this concludes the proof.

The rest of the proofs follow from part (a), and this concludes the proof.

This contradiction shows that (4.10) holds and this concludes the proof.

The composition (h_2h_1) is a cover (Gamma twoheadrightarrow G_n), and this concludes the proof.

Show more...

Similar(45)

At 7.14 the warden announced that McVeigh was dead and declared: "This concludes the execution".

Hence, t is a unique common fixed point of the mappings A, B, S, and T. This concludes the proof.

In the back-and-forth that followed, there was much useful information, and this concluding remark: If you run into any problems with KEDIT or with those macros in the future, let me know.

Thus a consultancy was commissioned, and this concluded that the country needed a cross-sectoral road safety organization.

The converse direction follows with reliability  (3.7) and (4.10) via This concludes the proof of  (4.12) and of the proposition.

Show more...

Ludwig, your English writing platform

Write better and faster with AI suggestions while staying true to your unique style.

Student

Used by millions of students, scientific researchers, professional translators and editors from all over the world!

MitStanfordHarvardAustralian Nationa UniversityNanyangOxford

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 quote

Justyna Jupowicz-Kozak

CEO of Professional Science Editing for Scientists @ prosciediting.com

Get started for free

Unlock your writing potential with Ludwig

Letters

Most frequent sentences: