Sentence examples for and exceptional set of from inspiring English sources

Secondly, they challenge the Accountability for Reasonability by confronting it with a new and exceptional set of data from a non-Western country.

continuous functions f such that | f ( x ) | ≤ | f 0 ( x ) |, x ∈ R, and, moreover, the exceptional set of probability 0 can be chosen universally for all such f.

"Tom [ Leathes co-founder and CEO] and the team are an exceptional set of repeat entrepreneurs".

"Now that we have these tragic set of circumstances where Dante Exum looks like he's done his ACL and will be out, it's an exceptional set of circumstances and with proper consultation with the team, and if they all support it, I would think that's appropriate".

and let be the exceptional set of Lemma 3.1, with.

Barrymore had urged his lawyer to point out that the evening in question had been "exceptional" and that "there was an exceptional set of circumstances" at the time, Mr Gowthorpe added.

She has an exceptional set of pipes and can actually sing.

Given a meromorphic function f ( z ), recall that α ( z ) ≢ 0, ∞ is a small function with respect to f ( z ) if T ( r, α ) = S ( r, f ), where S ( r, f ) is used to denote any quantity satisfying S ( r, f ) = o ( T ( r, f ) ), and r → ∞ outside of a possible exceptional set of finite logarithmic measure.

If 2 K ( P ) ≤ max { deg w ( Q ), deg w ( H ) + deg w ( P ) } − min { deg w ( P ), ord 0 ( Q ) }, then for any δ ∈ ( 0, 1 ), m ( r, w ) = o ( T ( r, w ) r δ ) + O ( T ( r ) ), where r goes to infinity outside of an exceptional set of finite logarithmic measure, and T ( r ) is the maximum of the Nevanlinna characteristics of the coefficients of P ( z, w ), Q ( z, w ), and H ( z, w ).

T ( r, f j ) = o ( T ( r, e g h − g k ) ) ( r → ∞, r ∉ E ), where E is an exceptional set of finite linear measure, 1 ≤ j ≤ n and 1 ≤ h < k ≤ n.  .

T ( r, f j ) = o ( T ( r, e g h − g k ) ) ( r → ∞, r ∉ E ), where E is an exceptional set of finite linear measure, 1 ≤ j ≤ n and 1 ≤ h < k ≤ n.