Sentence examples for using the above obtained from inspiring English sources

Exact(1)

Finally, bundle adjustment using the above obtained initial values is conducted to minimize the re-projection errors.

Similar(59)

Corollary 2.7 G a, b is positive if and only if G − a, − b is negative on I 2. In this section we use the above obtained expressions to obtain the explicit expression of the Green's function, depending on the values of the constants a and b.

Using the above, we obtain the optimal cost reduction effort under the outlier payment policy: begin{array}{*{20}l} &e_{H}^{pr,O*} = e_{H}^{pu,O*} = theta_{H} - frac{eta}{1 + eta}PDeltatheta, end{array} (14).

We plotted the receiver operating characteristic (ROC) curve using the data above obtained from PD and control patients, and the area under the ROC curve is 0.701, P = 0.012 (Fig. 2D).

Using the above notations, Beardon obtained the following two main results for the entire solutions of equation (1.1).

Using the above criteria, we obtained 787 housekeeping and 770 tissue-specific genes.

Using the above criteria, we obtained the human, mouse, dog and rat (HMDR) conservation dataset, and its members represented conserved candidate hairpins having orthologs in human, mouse, dog and rat.

Using the above estimates we obtain (3.23).

Using the above estimates, we obtain, and (3.6).

and consequently, using the above inequality, we obtain that (3.35).

Using the above evaluations we obtain inequalities (2.31).

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: