Your English writing platform
Discover LudwigSuggestions(1)
Exact(6)
First, we check that is a bounded set in.
Let be a bounded set in. (i) First, we check that is a bounded set in. .
First we check that our truncated set of equations (6) and (8) conserves the trace of the density operator tr = 1 (conservation of probability).
First we check that α ( t ) = - t - π 2 = - β ( t ), t ∈ I0, are lower and upper solutions for problem (10).
Example 3.3 Let X = [ 0, + ∞ ) be equipped with the standard metric d and order ⪯ given by x ⪯ y ⟺ x ≥ y. Consider the following mappings T, S X X → B ( X ) : T x = [ 0.3 x, 0.5 x ], S x = [ 0.2 x, 0.4 x ], x ∈ [ 0, + ∞ ). First, we check that S is T -weakly isotone increasing. Suppose that y ∈ S x = [ 0.2 x, 0.4 x ] and z ∈ S x = [ 0.2 x, 0.4 x ].
First, we check that, for each category c, the estimated fractions Δ n c /Δ n of domain-count changes grow linearly with the fractions n c / n.
Similar(54)
First, we checked that all putative orthologous snoRNAs belonged to the same Rfam family or clan (where defined).
First we checked that both primary and tertiary isonitriles are bioorthogonal by incubating them with 10 m m glutathione for 24 h at pH 7.4 and 37 °C.
First we checked that the size of the jumps in the x and y directions were the same (Supporting Information Figure S12 and Table S3), pooling together all of the jumps for the five separate atoms.
First of all, we check that Φ̃ is coercive, i.e. (tilde{Phi} u rightarrowinfty), as (|u|rightarrowinfty), and Φ̃ satisfies the (PS) condition.
Second, we checked that we could actually detect a pandemic age pattern by comparing the null epidemic pattern with those of the 1957 and 1968 pandemics.
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