Your English writing platform
Discover LudwigSuggestions(1)
Exact(8)
Suppose that there exists an array of positive numbers such that (1.7).
There exists an array of guidance on risk and hazard communication which influences country-specific legislation.
In challenging situations, there exists an array of reasons and only a few alternatives for an entrepreneur (Parwez 2014).
In humans we peculiarly observe that there exists an array of senses we possess that provide the required robustness and efficiency in chores that we perform.
(i) If E X i = 0, then E S l 2 ( i ) ≤ 8, 000 i exp { 6 ∑ j = 1 ⌊ log i ⌋ φ 1 / 2 ( 2 j ) } max l + 1 ≤ j ≤ l + i E X j 2. (ii) Suppose that there exists an array { c l n } of positive numbers such that max 1 ≤ i ≤ n E S l 2 ( i ) ≤ c l n for every l ≥ 0, n ≥ 1.
If E X i = 0, then E S l 2 ( i ) ≤ 8, 000 i exp { 6 ∑ j = 1 ⌊ log i ⌋ φ 1 / 2 ( 2 j ) } max l + 1 ≤ j ≤ l + i E X j 2. Suppose that there exists an array { c l n } of positive numbers such that max 1 ≤ i ≤ n E S l 2 ( i ) ≤ c l n for every l ≥ 0, n ≥ 1.
Similar(52)
Although numerous treatment options exist, an array of debilitating side effects accompany them, causing physiological and social problems.
It is shown that if there exists an orthogonal array OA(n−ℓ,m,2,3), ℓ= 1,2, then there exists an n-run type 1 optimal fractional factorial plan for a 2m experiment under a model that includes the mean, all main effects and all two-factor interactions with a factor in common.
There exists a bewildering array of definitions for political types in Iran.
Largely thanks to the market created by -- and the standards set by -- Whole Foods, there now exists a wide array of healthy grocers from which to choose.
Relative to the archetypal vir T4SS, there exists a wide array of synonymous gene and protein names for components related to the vir genes.
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