Sentence examples for proof was given from inspiring English sources

Exact(13)

No proof was given; no follow-up reporting was done.

A very simple graphical proof was given about 1361 by the French bishop and Aristotelian scholar Nicholas Oresme.

A combinatorial-analytic proof was given in [3].

The proof was given in [33] (also see [31, 38]); here we omit the details.

An additive proof was given by measuring low and room temperature electroluminescence of axial pn-junctions in single GaAs nanowires.

For such significant finding, until recently, a mathematically rigorous proof was given by Wang and Dai [14].

Show more...

Similar(47)

A similar proof is given for S4.

A rigorous mathematical stability proof is given.

The proof is given below.

Proof: The proof is given in[14].

The rigorous proof is given in [17].

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: