Sentence examples for this paper denotes from inspiring English sources

This paper denotes the first successful attempt for six degree of freedom vibration isolation to enable in-line nano-metrology.

In this paper, denotes the set of all nonnegative integers.

Throughout this paper, denotes an infinite dimensional complex Banach space.

Throughout this paper denotes the usual norm of.

In this paper, denotes a complete metric space and denotes the Hausdorff metric on.

Throughout this paper, denotes either the real field or the complex field.

Consequently, through simulation results, we define the two optimal combined Alamouti codes used in this paper denoted as combination (AB).

Throughout this paper, denote mu_{m}:=lambda_{m}(0)=(mpi)^{2}, quad min mathbf{N}, the eigenvalues of problem (3 - 2) with zero potential (q=0).

While capturing backward dependences, this paper denoted each term with a one-hot vector and applied LSTM recurrent neural network [14] to compute its corresponding embedded vector.

Here, we consider three algorithms: the semi-iterative algorithms proposed in this paper (denoted by SIA), the semismooth equation approach proposed in [31] (denoted by SSEA), and two-level additive Schwarz method proposed in [32] (denoted by TLASM).

Hazard ratios, in this paper denoted relative risks (RRs), of receiving dispensed drugs used to treat diabetes were estimated in multivariate Cox proportional hazards models.