Sentence examples for also consider the operator from inspiring English sources

We also consider the operator,, for.

In the following we also consider the operator equations (2.6) and (2.7).

We also consider the operator expressions and some cases of homogeneous kernel.

We also consider the operator expressions and a few particular results related to the kernels of non-homogeneous and homogeneous.

Furthermore, we also consider the operator expressions and a few particular results related to the kernels of non-homogeneous and homogeneous.

We also consider the operator expressions in Theorem 3, 4. The dependent cases of homogeneous kernel are assumed by Corollary 1-4.

We also consider the operators,, given by, for Moreover, has discrete spectrum, the eigenvalues are, with corresponding eigenvectors, and the set of functions is an orthonormal basis of and for.

By definition, the operator (U_{V}:Xto X), defined by U_{V}(x):=V x,x),quad mbox{for all } xin X, is called the diagonal operator corresponding to the operator V. We also consider the following operators generated by an operator (V:Xtimes Xto X): (1) The operator (C_{V}:Xtimes Xto Xtimes X) defined by C_{V} x,y):= bigl(V x,y),V y,x) bigr).

We've also considered the operating team (Table 1) that performed the operation because the first operator's experience was considered as an important factor in order to evaluate our results [ 5- 11].

In addition, we also consider the fractional Hardy operator H β. The bound of operator H β from L p to L q is explicitly worked out.

We also consider the equivalent forms, the operator expressions and some particular inequalities.