Your English writing platform

Write in English at your best with Ludwig

Register

Sentence examples for introduced as above from inspiring English sources

Ai Feedback

Is your sentence correct in English?

Log in and get your AI feedback from Ludwig.

Exact(4)

The works introduced as above lead to the study of the existence and exponential decay of solutions for the problem (1.1 - 1.3 1.1 - 1.3

Site-specific mutations were introduced as above and verified by DNA sequencing.

Then the considered problem (1 - 5) can be interpreted as a study of the operator L_{G} = bigoplus_{k = 1}^{3} L_{k} on noncompact graph introduced as above.

An orf of nptII, which confers resistance to kanamycin, was amplified by primers 5'-ATG TCTandAGCTATGACCATGATTACGAA-3' and 5'-ATG theAGAAAGTCAGCGTAATGCTCTGCC-3' (the XbaI site is underlined), digested with XbaI, and inserted into SylmG1 orf in which an XbaI site was introduced as above.

Similar(56)

For each case −93 dBm of effective interference power per PUCCH RB can be introduced, as derived above.

Human preproinsulin cDNA was subcloned into pTarget (Promega) and the mutations were introduced as described above.

The mixed cultures were pelleted, spotted onto agar in a 50 mm petri dish and flies were introduced as described above.

This PCR product was digested using SpeI and cloned into the SpeI restriction site introduced as described above at the 3'-end of pCMV-Tag2B-NCre- and pCMV-Tag3B-CCre-open reading frames.

Retroviral particles were generated and introduced as described above.

Palpable tumours were observed at day 18, and antibodies were introduced as described above twice per week until day 43.

The biotin group was introduced as described above prior to revealing the cysteine thiol that was elaborated further to the disulfide.

Show more...

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: