Sentence examples for ease notation from inspiring English sources

In order to ease notation, we introduce an additional state N+1.

To ease notation, let begin{aligned} alpha =Pi /Ntext end{aligned}where (N) is the number of consumers.

We make the following assumptions on the utility functions (deleting superscripts to ease notation if a condition holds for both partners): Assumption For arbitrary values of l,q,Q we have that 1. lim x ↓ 0 u x ( l, q, Q ) = + ∞ for leisure (x = l), each private good (x = q k ) and each public good (x = Q k ),   2.

Before we define it, we make an auxiliary definition to ease notation: For λ>0, define Notice that for every clump size distribution Ψ, we have Ψ(0)=0 and, hence, 𝒟(0)=𝒞𝒫(0) and 𝒟(1)=∑ i =1∞𝒞𝒫(i).

Finally, for ease of notation, we use the notation n α = ( n 1 α 1, n 2 α 2, …, n d α d ) and | n α | = ∏ i = 1 d n i α i.

For ease of notation, we use the notation n α = ( n 1 α 1, n 2 α 2, …, n d α d ) and | n α | = ∏ i = 1 d n i α i. Lemma 2.1 (Gut and Stadtmüller [6]).

Denote H = H 1 × H 2 endowed with the norm | ϕ | H 2 : = | u | H 1 2 + | θ | H 2 2, for any ϕ = ( u, θ ) ∈ H, where u ∈ H 1 and θ ∈ H 2. For ease of notation, we use the notation | ⋅ | to represent the norm for space H 1, H 2, and H, respectively.

cHenceforth, for ease of notation, we will call the instantaneous channel capacity as simply the channel capacity (similar notation is also used in [34, 41, 51]).

b Note that the index k is dropped for ease of notation.

For ease of notation, one sets (x_{r} = x).

For the ease of notation and without loss of generality, we assume that.