Sentence examples for the sake of simple from inspiring English sources

For the sake of simple notation, we will in our analysis write u, or (mathbf{u}(t)), instead of (mathbf{u}(t; beta)).

For the sake of simple notation, let (T=min{ tilde{T},hat{T} }) and (beta_{min} = max{ tilde{beta}_{min}, hat{beta}_{min } }).

(For the sake of simple notation, we will write (u_{i}) and (q_{i}), instead of (u_{beta,i}) and (q_{beta,i}), for the component functions of (mathbf{u}_{ beta}) and (mathbf{q}_{beta}), respectively).

Note that we use filtering as target application for the sake of simple explanation and by way of example, but the same logic can be applied to other traffic analysis functions such as intrusion detection.

Both for the sake of simple justice and to stop fooling ourselves, and causing great harm to the economy, we should celebrate the 50th anniversary of Mollie Orshansky's calculation by doing it right in 2013.

A schematic of our optical system is shown in Fig. 2. We note here that for the sake of simple theoretical verification, a low numerical aperture lens was used to image the sample.

The test network is a balanced three phase implementation of a 35 bus subnetwork of the IEEE 123 node test feeder system [43]; the 35 bus subset has been chosen for the sake of simpler presentation of results, however convergence analysis of larger subsets of this network is included below.

In this section we could have discussed the discrete integrable couplings of the ((2+1))-dimensional positive and negative integrable discrete hierarchy obtained in the paper; however, for the sake of simpler computations, we only want to investigate discrete nonlinear integrable couplings of the positive part of equation (35).

All this for the sake of a simple idea: that viewers could come across something that might surprise and delight them.

But for the sake of a simple comparison, let's start with France, which has a top income tax rate of 48 percent, and a capital gains tax rate of 19 percent.

For the sake of a simpler explanation we focus here on the two mentioned topologies.