Sentence examples for by removing a simple from inspiring English sources

Let G 0 ′ be the set of 0-augmented trees (multi-trees) T=G−e obtained from each 1-augmented tree G ∈ G 1 ( g L, g U ) by removing a simple edge e in the unique cycle of G. Then we have G 0 ′ ⊆ G 0 ( g L ′, g U ) for a modified lower vector g L ′ in a vector set g L ′.

Figure 7 illustrates how the parent π(G) of a 1-augmented tree G in Case 1 is determined on these signatures σ u,v) and σ v,u) of simple edges uv in the cycle C. Figure 7 Illustration of defining the parent π ( G ) of a 1-augmented tree G. Three multi-trees T1=G−u w, T2=G−v z and T3=G−w z are obtained from G by removing a simple edge in the cycle.

We compared the full models with simpler nested models by removing a different variance component each time, using Restricted Maximum Likelihood (REML) to assess the significance of random effects.

The basic idea is simple: Starting with the target chemical structure, split the molecule by removing a bond indicated by the heuristic.

By removing a lot of information without chemical relevance, such as Cartesian coordinates, it is possible to manipulate and search the rest very quickly, using simple unix commands.

By removing predictors, a more simple risk score will be created.

Minor contaminants remained for SELP-520-A and SELP-59-A and these were removed by a simple ammonium sulphate precipitation step, followed by resuspension in cold water and dialysis against water.

In this process material is removed by a simple geometric tool following a predefined path in a layer-by-layer fashion.

Finally, the elastic ripples of the electromechanically buckled film can be generated or removed by a simple On/Off switching of the applied voltage.

For corrosion detection, a spin motor is used to uniformly coat a small portion of the fiber designed as U-shaped after its clad was removed by a simple chemical method.

The ISI at each subcarrier can be easily removed by a simple equalization, thanks to the subcarrier-wise IFFT precoding and CP insertion, while the ICI level can be controlled by a special data transmission strategy and good frequency-localized prototype filter.