Sentence examples for the above notation from inspiring English sources

Exact(42)

The above notation will be consistently used throughout this paper.

We use the above notation throughout the paper.

For illustration, we describe the above notation on one example.

Now, with the above notation, we are ready to state the continuation theorem.

In the above notation, for, and, the following hold: (1) if, and only if, is balanced.

Hence, in this work, two other metrics were defined by simply inverting the above notation.

Show more...

Similar(17)

Based on the above notations, the SIF-OMP algorithm is given as follows.

With the above notations, we have the following facts (2.a - 2.f) [[15], Chapter 8].

With the above notations, we formally define our MHMM problem as follows.

In fact, the above notations and basic assumptions will be used in throughout the paper.

Based on the above notations, we need the following definitions and lemma.

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: