Your English writing platform
Discover LudwigExact(11)
Hence, let us focus on the effect of κ on S and N. YN uses κ and codon frequencies to estimate S and N. Since codon frequencies are constant, estimated from targeted sequences, and transitions between two codons are more likely to be synonymous especially at the third codon positions, S thus (as a function of κ and codon frequencies) is positively correlated to κ.
Hence, let us set obliquity to be zero.
Hence, let us suppose it true.
Hence, let us assume x ≠ z.
Hence, let us assume δ P (C) > 0. Let f ∈ C.
Hence, let us find sufficient conditions for the solvability of (13).
Similar(49)
As a Creator, God made use of assistants: hence the plural "Let us make man" in Genesis, chapter 1. Philo did not reject the Platonic view of a preexistent matter but insisted that this matter too was created.
Here we emphasize that the number of channels, m, should be as small as possible from a viewpoint of implementation; hence in this paper let us consider the case (m=3).
Hence, to simplify the notation, let us introduce the variable (x = qcosPhi_{ell}+psinPhi_{ell}-X_{ell}/sqrt{eta}), suppressing all its dependencies.
Hence, the opening of his treatise: "Let us now treat of sophistical refutations, that is, arguments which appear to be refutations but are really fallacies and not refutations" (SR 1 164a20).
Hence, let E be a separable Banach space (with the norm ∥ ⋅ ∥ ) satisfying the Radon-Nikodym property (e.g. reflexivity, see e.g. [[21], pp.694-695]) and let us consider the Dirichlet boundary value problem (b.v.p).
More suggestions(3)
Write better and faster with AI suggestions while staying true to your unique style.
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
CEO of Professional Science Editing for Scientists @ prosciediting.com