Sentence examples for inner operator from inspiring English sources

The solvability criterion for the problem (4.29) has the form (in computations below we need a composition of operators and the order of operations is following the inner operator which acts to matrices and vector function having an argument denoted by and the outer operator which acts to matrices having an argument denoted by (4.30).

A Processing Node (PN), in turn, is a node that holds at least one inner operator (i.e., an operator with input and output ports).

As stated in the following two theorems, the composition of fractional operators behaves well if the inner operator is a fractional difference.

Such multiplication operators are called inner multiplication operators and they satisfy φφ;*=the orthogonal projection onto M. In this paper, we shall show that for many interesting complete NP kernels the analogy with the Beurling Lax Halmos theorem can be strengthened.

The following JSON snippet presents an example of contract for an inner join operator on two input streams.

From a vector Laplacian, which is consistent with the Helmholtz decomposition, a general formulation for the inner product operator at grid edges can be derived.

Indeed, one only needs to replace the inner product operator of a linear technique with an appropriate kernel function k (i.e., a positive semi-definite symmetric function), which arises as a similarity measure that can be thought as an inner product between pairs of data in the feature space.

The Offline-Online computational strategem, as well as the a posteriori error estimation, are based on the same arguments described in Section 6 for the coercive case; we remark that also the inner supremizer operator can be written in the affine form under the affinity assumption (6) on a.

We show that for almost every z∈∂Bd the nontangential limit φ z) of the multiplier φ:Bd→B(E,D) associated with an inner multiplication operator φ is a partial isometry and that rank φ z) is equal to a constant almost everywhere.

At the inner level, bidding operators impose conditions on the executed proportions of packages of atomic single-item bids.

Finally, we use these reconstruction operators to define a Hodge inner product and build Compatible Discrete Operator schemes, and we test the influence of the reconstruction operators in terms of accuracy and computational efficiency on an anisotropic diffusion problem.