Sentence examples for mathematical appendix describes from inspiring English sources

The mathematical appendix describes the solution of this model.

It is mainly based on the algorithm described in the mathematical appendix in Supplemental Material, and more extensively in a recent PhD Thesis.

In step 3 of the measurement process, the probabilities of the main quality events under evaluation were obtained using the algorithm described in the mathematical appendix in Supplemental Material.

At the end of the evaluation period, objective and subjective data were entered into a Microsoft Excel spreadsheet that implemented the algorithm described in the mathematical appendix in Supplemental Material.

The technical details are summarized in the Mathematical Appendix.

The proof is given in the Mathematical Appendix.

These results also could be included in Mathematical Appendix.

We elaborate on these points in Section 2 of the mathematical appendix.

(See mathematical appendix 1 for more details. The appendix also provides the Matlab code needed to produce the solutions reported below).

For a further discussion of these issues, see Section 2 of the mathematical appendix (Supplementary file 1).

Additional file 1 Mathematical appendices and data fitting.