Sentence examples for theorem has been from inspiring English sources

Exact(60)

This theorem has been confirmed experimentally.

You have the impression, in "Ipsa Dixit," that everything has been written, spoken, and sung — that a universal musical theorem has been demonstrated.

Pappus's theorem has been generalized to the case in which the region is allowed to move along any sufficiently smooth (no corners), simple (no self intersection), closed curve.

And the theorem has been proved.

In general, the theorem has been generalized in two directions.

The following theorem has been proved in [1].

end{aligned} (2.7) Hence, the theorem has been proved.

The next theorem has been proved in [6].

The proof of the theorem has been completed.

The upper bound theorem has been used to obtain an approximate solution.

This vital theorem has been generalised in various ways by several scientists.

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: