Sentence examples for brief proofs from inspiring English sources

Exact(1)

We can see other brief proofs for this in Tasković [7, 8], and [13].

Similar(59)

We also use fitness graphs in order to give a new brief proof of the equivalent characterizations of fitness landscapes lacking genetic constraints on accessible mutational trajectories.

We provide a brief proof here.

Below, we provide a brief proof of the previous result.

In Appendix 1, a brief proof is given.

For the sake of completeness, we provide a brief proof.

In here, we only provide a brief proof.

We next state their results and give a brief proof.

We include a brief proof for the readers' convenience.

However, for convenience of the reader, we present a brief proof.

A brief proof of a special case of this fact may be found in Tasković [1].

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: