The phrase "array there exists" is not correct in standard written English.
It seems to be an attempt to express a mathematical or logical concept, but it lacks clarity and proper structure.
Example: "In the context of set theory, for every element in the set, there exists an array that satisfies the condition."
Alternatives: "for every array there is" or "for any array that exists".
The strong temperature dependence of the OR spectra for these array structures implies that there exists strong electron-phonon scattering in nanowire array samples.
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.
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).
(1) If EX i = 0, then E S k 2 ( i ) ≤ 8 0 0 0 i exp 6 ∑ j = 1 log i φ 1 ∕ 2 ( 2 j ) max k + 1 ≤ j ≤ k + i E X j 2. (2) Suppose that there exists an array {c km } of positive numbers such that max 1 ≤ i ≤ m E S k 2 ( i ) ≤ c k m for every k ≥ 0, m ≥ 1.
(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.
Within each of these classes of lipid mediators there exists an array of isomeric products from of a relatively few fatty acid species making their separation critical for accurate quantification.
