Sentence examples for be analytic in a from inspiring English sources

For example, one account of analyticity is that for a sentence "S" to be analytic in a language L is for competence with L to dispose a speaker to accept "S".

Definition 2.1 Let f ( z ) be analytic in a simply connected region ℛ.

Let q be univalent in D, and let φ be analytic in a domain D containing q ( D ).

Definition 1 Let f ( z ) be analytic in a simply connected region ℛ of the complex z-plane.

Let be univalent in and let and be analytic in a domain containing with when Set (2.1).

Let q be univalent in D, and let φ and ν be analytic in a domain D containing q ( D ) with φ ( w ) ≠ 0 when w ∈ q ( D ).

Arithmetical logicism is secured if Hume's Principle can be shown to be analytic in an appropriate sense.

Under a natural boundedness assumption of the multiple commutators we prove that the eigenstate 'dilated' by exp(iθA) is analytic in a strip around the real axis.

We note that Z ( s ) in (2.7) below is analytic in a neighborhood of s = 1.

where Λ is analytic in a neighborhood of the origin and ord Λ ≥ 2. If we define h ( z ) : = a z + b f ( z ) + ϕ ( z, f ( z ) ), (5).

Proof By Theorems 1-3, we can find an analytic solution g of the geometric difference equation (9) in the form of (10) such that g ( 0 ) = 0 and g ′ ( 0 ) = η ≠ 0. Clearly, the inverse g − 1 is analytic in a neighborhood of the point g ( 0 ) = 0. Let f ( x ) = − a b z + 1 b g ( α g − 1 ( z ) ) + Λ ( z, g ( α g − 1 ( z ) ) ), which is also analytic in a neighborhood of the origin.