Sentence examples for conclusion that the function from inspiring English sources

Exact(12)

Then Lemma 2.6 and (3.45) lead to the conclusion that the function (R_{2}(t)) is strictly decreasing if (pgeq1) and strictly increasing if (pleqsqrt{3}/2).

Then inequality (2.35) leads to the conclusion that the function (xrightarrow g p, x)) is strictly increasing on ((0, 1)) for (pin [3/2, 2]).

Inequality (2.13) leads to the conclusion that the function (phi(x)) is strictly concave on the interval ((0, 1)) and the inequality phi(x)>phi(0) 1-x +phii(1-x +phi4) holds for all (xin(0, 1)).

Then Lemma 2.3(4), (2.18), (2.20) and the monotonicity of the function (rrightarrow h_{1}(p; r)) on the interval ((0, 1)) lead to the conclusion that the function (rrightarrow h u, p; r)) is strictly increasing on ((0, 1)).

From (3.38) and (3.39) we clearly see that the sequence ({alpha _{n}/beta_{n}}_{n=1}^{infty}) is strictly increasing, then Lemma 2.6 and (3.37) lead to the conclusion that the function ((cosh t-I_{0}(t))/[cosh t-sinh t/t]) is strictly increasing on the interval ((0, infty)).

It is well known that the function (x to sin ( x )/x) is strictly decreasing on (( {0,pi /2} )), hence equation (2.9) leads to the conclusion that the function ({varphi '_{3}} ( x )/{varphi '_{4}} ( x )) is strictly increasing on (( {0,pi /4} )).

Show more...

Similar(48)

This typically leads to the conclusion that the functions of these proteins, in this case the epigenetic functions, are indeed essential for viral-induced transformation.

Other Na+/K+ ATPase inhibitors that are structurally distinct from cardiac glycosides also exhibit antimigratory activity, corroborating the conclusion that the antiport function of Na+/K+ ATPase and not the receptor function is important for supporting the motility of MDA-MB-231 breast cancer cells.

This leads to the paradoxical conclusion that, while the function of many or even most genes is buffered by a redundant paralog, redundancy is a relatively rare outcome of gene duplication.

The present findings, however, fully support the conclusion that the principal function of CXCR7 is to act as scavenger for CXCL12.

The low level of identity and similarity between substrate binding amino acids and the absence of a cholesterol catabolism phenotype and cholesterol oxidation catalytic activity lead to the conclusion that the gene function has been misassigned.

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: