Sentence examples for includes the expressions from inspiring English sources

Exact(3)

The optimization criterion of Equation 20 includes the expressions of Equations 21 and 23 with unknown h k and α k, k=0 … K−1.

The optimization cost function of (2) includes the expressions of (4) and (6) where, are known windows and is the time-variable nonstationary covariance matrix.

This search space includes the expressions that use all the 70 variables, but also the ones that use a smaller number of variables.

Similar(57)

The panic message includes the expression that failed, its file and line number, and a backtrace, which should help you to find the problem.

The bill applies a broad definition to political expenditure and includes the expression of "any views on an issue that is, or is likely to be, before electors in an election" whether it is during the campaign period or not.

The data used for spatial temporal expression analysis mainly includes the expression data of tissues and organs at different stages of growth and development.

Its expression dynamics also includes the expression fluctuation in different stages.

The formula for H includes the expression G - A, which is the difference between genomic and pedigree-based relationships.

There's plenty to read in the picture, including the expressions on the faces of the different boys, and the way they press their bowls to their chests.

To elucidate and categorize the murine placental hormones expressed across gestation, including the expression of hormones with previously undescribed roles.

It has been demonstrated that QS controls a plethora of microbial processes including the expression of virulence factors.

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: