Sentence examples for notation convenience from inspiring English sources

For notation convenience, we denote (3.2).

For notation convenience, the above equation can be simply rewritten as b_{m}(r, theta)=expleft{-jphi_{m}right}, (23).

For notation convenience, the entire signal model over C-GCMAC can be more compactly expressed as a vector memoryless channel of the form y = H x + z, (5).

For notation convenience, in the rest of the document, we group the unknown signal parameters in a vector θ= [ h T,f d,τ] T. We focus on a single satellite's signal, thus neglecting the contribution of the rest of the satellites.

For notation convenience, we use the notations as follows: ᅟ k: the k-th cognitive node (k=0 refer to CS and k=1,…,N refer to CR k ).   ᅟ P SK and P KD are the transmit power of CS and CR k, respectively.

For notational convenience, we introduce the following notations.

Before proceeding, let us briefly introduce some notation for convenience.

To do so, we utilize the following theorem which we restate here with our notation for convenience.

Although we use a continuum notation for convenience, (x t)) need not be differentiable and we interpret the action in terms of the discrete definition.

All crystallographic indexes used in this paper are expressed in the rhombohedral notation for convenience of discussion (see Additional file 1 for conversion between the rhombohedral notation and the hexagonal notation).

In addition, we take the notation for convenience: (x,y) (t)=p(t bigl[bigl trianglebar{y}(t bigr)x t -bar{y}(t) triangle x t -bar{yquad t={t}_{t=a-1}^{b}.