Since the exact solutions of the problems are not known, the maximum absolute errors for the examples are calculated using the following double mesh principle: E_{varepsilon}^{{N}} = max_{0 le i le N}biglvert y_{i}^{N} - y_{2i}^{2N} bigrvert.
The numbers of each of the four scoring parameters, the relationships among the concepts, the levels on the map, the cross linkages, and the examples were calculated by the two teachers.
The gene-regulation function of the PHO5 example was calculated using the matrix-tree formula in Equation 7 and is shown in full in Additional file 1C.
The fitness of the gene in this example is calculated from the wm and wp values and also another input parameter, the dominance coefficient (h).
The human body attempts to compensate for arteriosclerosis by increasing its blood pressure, but pressure is linearly related to flow rate, such that compensating pressure in this example is calculated as being an impossible 16-fold higher pressure differential.
Finally, the energy management strategies of fuel cell and were proposed and the automotive energy power requirement of an application example was calculated.
The syntenic global alignment of Fig. 2, for example, was calculated by means of a scoring function with these properties.
Fold changes relative to the median abundance value of the 0 µM Cu II) growth condition for each time point (i.e., 16 hr data was only compared to itself for example) was calculated.
The first example is used to testify the efficiency of the TWSLD operators, the second example is calculated by the presented numerical schemes (3.21), and the validity of our developed algorithms is confirmed.
The appropriate threshold could for example be calculated by bootstrapping the original data (Jia et al., 2012b).
The sensitivity for condom use for example, is calculated to indicate how many of the users are classified as users, meaning that they fall in a terminal node with a proportion of users higher than the average use in the population.
