Sentence examples for computation presented in from inspiring English sources

Thus we get that C K ( R 1 ) is exactly the Jacobson algebra described in Example 7, so that (using the computation presented in that Example), we have C K ( R 1 ) ≅ L K ( T ), the Leavitt path algebra of the Toeplitz graph.

The computations presented in this paper show that the sliding flow method (SFM) is expected to perform significantly better than existing methods and will result in substantial reduction in exergy destruction.

For the test computations presented in this paper, we have used the model of a Nordtank turbine NTK500/41, see Figure 1 (bottom), with 35 m hub height because we are provided with aerodynamic data for the blades of this WT.

The development of the turbo processing will be addressed in Section 4. The binary convolutional coding structure in is used to develop the constituent soft-input soft-output (SISO) decoder (shown in Figure 2) to provide more reliable soft estimates of the coded bits,, based on the extrinsic soft-bit information received from the MIMO-demapper,, using the computations presented in [29].

While the computations presented in this paper used simple models of evaluation procedures, our results should extend into more complicated evaluation procedures.

All computations presented in Table  5 finished in under one second.

These large matrices are used for the abundance computations presented in this study and hence included as Additional file 3.

All computations presented in this study were performed with our software CellNetAnalyzer [ 58], a MATLAB toolbox with graphical user interface facilitating, among other things, metabolic network analysis (see Figure 2).

To avoid a significant deviation of the estimated against the measured growth rate, we set the measurement variance of the growth rate to 1 × 10-9 in scenario 2. All computations presented in this study were performed with our software CellNetAnalyzer, a MATLAB toolbox with graphical user interface facilitating metabolic network analysis [ 28].

The main advantage of the proposed approaches is the computational simplicity of the point estimation where standard software tools that are widely accessible for data analysts as well as for clinicians can be used (all computations presented in this paper were obtained using the R statistical software [ 22]).

In this step, the result of the arc frequencies computations presented in Algorithm 1 depends on the homogeneity of the coverage depth used for obtaining the set SR. Let c be a cycle in G k (SR) formed by an ETR ε from the target DNA fragment D. In the real case of non-homogeneous coverage depth of SR, the bases of ε are not always covered by the same number of short reads.