"functional operator" is a correct and usable phrase in written English.
It is a term used in computer programming, meaning an operator that performs a particular operation that can be applied to a particular type of data. For example, you might use a functional operator to combine two strings of text.
The obtained expression is a more generalized translator, a more generalized functional operator, and in that sense it will be defined as the generalized translator.
In Part 1, we consider the auxiliary equation (see (4.1)) of which solutions of the kind (mu=1) will be the solutions of (1.1) and we transform it into a functional operator equation (see (4.4)).
On the other hand, using the facts that the functional operator θ → u = ∇ ⊥ [ − 1 2 θ ] is an isomorphism from Ḣ 1 into Ḣ 1 × Ḣ - 1 and θ → (1 + κ Λ2α -1θ t is a bounded operator from Ḣ 1 into Ḣ - 1, and using the Poincaré inequality (2.5), we know that the following norm is equivalent ∥ ∇ u ∥ L 2 ~ ∥ ∇ θ ∥ L 2 ~ ∥ θ ∥ Ḣ 1.
Then bigl(H^{s}bigl(R^{n}bigr bigr)^{prime} simeq H^{-s}bigl(R^{n}bigr) in the sense of algebra and topology, and for all (v in H^{-s}(R^{n})), if (l in(H^{s}(R^{n}))^{prime}) is a continuous linear functional operator, then we have |v|_{H^{-s}(R^{n})} = |l|_{(H^{s}(R^{n}))^{prime}} leq C, where C is a positive constant.
Bearing in mind such industrial demands as computing efficiency and simple factory-floor operation, the control layers are parameterized by means of functional operators consisting of pieces of compiled code that can be passed as parameters between the layers.
The truth functional operators ("&", "∼" etc).
This can be done by means of particular functional operators like the DFT and the DWT.
Our constants in the solvability conditions are the best ones in the considered classes of functional operators.
The second generation of SPEs inherits the same processing model based on a graph of functional operators.
Functional operators defined in the previously described way can be applied in defining the total dimensional potential of the hyperspherical function in the field of natural numbers (degrees of freedom ).
It should be noted that any column of four 1s or 0s or both will specify a dyadic truth-functional operator.
