Sentence examples for drops the dependence from inspiring English sources

Hence, one often drops the dependence on the initial condition in (A5).

We drop the dependence on T of the estimated matrices and vectors.

For simplicity, we drop the dependence in t: F ( x ) = x 1 + α sin ( log ( 1 + x ) ).

In order to achieve rate (21), we consider the specific distributions (dropping the dependence on the time index with a slight abuse of notation) and, with independent of.

In the following, we focus on a specific set of active MSs and, furthermore, we drop the dependence on the block index for simplicity of notation.

In order to achieve rate (8), we further specialize the distributions as and as (dropping the dependence on the time index with a slight abuse of notation) (B.2). where, independent of all and " " denotes convolution.

fWe shall henceforth, without loss of generality, drop the dependence of π on the signals St. gWe assume c < p 3 S 2, ~ S 1, π 3 with probability 1. hWe assume that this return is based on a known success probability (no learning needs to take place on the part of the VC about the parameters).

For conciseness, in the sequel we shall drop the dependence of v on (x, u, e) from the notation.

In addition, in this section, we employ a notation which drops the time dependence of u.

But DSM-5, the latest edition, dropped the term "dependence" in 2013 as the label for addiction.

In order to prove the existence of extremal elements of the solution set, we drop the -dependence of the operator.