Sentence examples for following space from inspiring English sources

Consider the following space: (3.36).

The following space was introduced in [12].

He also proved that the dual space of is the following space.

In order to define the solution of problem (1.3), we will consider the following space.

We shall make use of the following space functions introduced by Dimovski [35].

In order to define the solution of problem (1.6), we shall consider the following space.

For convenience, we list the following spaces of this paper as follows.

The following space-time Triebel-Lizorkin space will play an important role in the proof of Theorem 1.1.

Consider the following space-time FPDEs: bigtriangleup =Fbigl x, t, u, partial^{alpha }_{t}, partial^{beta } _{x}, u_{xx}, u_{xxx},ldots bigr).

Stacking the received signals from all M antenna elements at the n th sample, we obtain the following space-domain snapshot vector γ n, g = γ 1, g ( n ), γ 2, g ( n ), …, γ M, g ( n ) T. (7).

Example 5. Let us consider the following space-fractional initial boundary value problem: u t ( x, t ) = D x β u ( x, t ) − ( 1 + tan t ) u ( x, t ), 1 < β ≤ 2, (19).