Sentence examples for have note that from inspiring English sources

Exact(8)

From (2.11), we have (note that is nondecreasing) (2.18).

In view of (2.21), we arrive at Since is demicontinuous, we have Note that (2.24).

For any, since and is nonexpansive, we have (note that is strictly decreasing) (3.2).

Using (1.14) and (3.13), we have (note that is strictly decreasing) (3.14).

We now integrate the last equality two times over [ t, T ] ⊂ [ t 0, T ] and have (note that v ( T ) = v ′ ( T ) = 0 ) v ( t ) = t ∫ t T s − a − 2 ( ∫ s T ξ a + 1 f ( ξ, v d ξ ) d s, t ∈ [ t 0, T ].

Since we must have (note that w(x j ) → 0 for j → ∞ when x∞ = ∞), we conclude that x∞ = ∞ is impossible as well.

Show more...

Similar(52)

"We have noted that prices have fallen significantly.

Journalists have noted that those efforts have had mixed results.

Historians have noted that American politics moves in long swings.

Subsequent generations have noted that technology is often similarly fetishised.

Kennedy is said to have noted that "success has a thousand fathers; failure is an orphan".

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: