Sentence examples for operator definition from inspiring English sources

But it is not the case for stacking operator definition.

For g = I, the identity operator, Definition 2.4 reduces to the well-known definition of monotonicity.

This way, no prior operator definition is required since a weighting neighbourhood and a weighting kernel are determined automatically from the unfiltered input data for each pixel location.

However, the data-driven CDS stack approach is time-consuming due to separate stacking operator definition for each angle.

By using the operator, Definition 2.1, we introduce a class of meromorphic functions denoted by and we obtain certain differential subordinations.

By transformation u = a ln f, u = G ( f ) f and D-operator definition, Eq. (3) can be turned into F ( D, D t, D x, D z, D t t, D t x, D t z, … ) f ⋅ f = 0, (5).

In this section, we defined the generalized fractional differential of the Tremblay operator in Definition 6 according to definition of the generalized fractional derivative of the Srivastava Owa operator in complex plane ( mathbb {C}), for the special case, ( m=1 ) in classes ( mathcal {A}) and ( mathcal {S}).

Lemma 8 Let 1 < p < ∞, 0 < D < 2 n, w ∈ A 1, T be the singular integral operator as Definition 1 and L p, φ ( R n, w ) be the weighted Morrey space as Definition 2. Then ∥ T ( f ) ∥ L p, φ ( w ) ≤ C ∥ f ∥ L p, φ ( w ).

Let δ be a shift operator under Definition  2.7.

Note that the classical Calderón-Zygmund singular integral operator satisfies Definition 2 (see [7, 8]).

Let T be the integral operator as Definition 1, the sequence { C k } ∈ l 1.