Sentence examples for exists an array of from inspiring English sources

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.

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.

Although numerous treatment options exist, an array of debilitating side effects accompany them, causing physiological and social problems.

(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 these niches, bacteria exist in an array of sizes and morphologies.

There exists a bewildering array of definitions for political types in Iran.