## 3 Results
### First Experiment
In subsequent iterations, the exponent was incremented until it reached the value of exponential function equal to the number of data particles presented in Table 2. The results of differentiation procedure of F-measure (p) function for the GD and UGD methods were visualised on Figure 5.  
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline
**Data Set** & \multicolumn{3}{c}{**1 CT1P**} & \multicolumn{3}{c}{**GD**} & \multicolumn{3}{c}{**UGD**} \\ \hline  & **P** & **R** & **F** & **P** & **R** & **F** & **P** & **R** & **F** \\ \hline moonInRing2U1 & 0.034 & 0.260 & 0.060 & 0.960 & 1.000 & **0.980** & 1.000 & 0.933 & 0.965 \\ moonInRing2U2 & 0.146 & 0.460 & 0.222 & 1.000 & 1.000 & **1.000** & 1.000 & 0.850 & 0.919 \\ moonInSemiRing2U1 & 0.101 & 0.760 & 0.178 & 0.421 & 1.000 & **0.593** & 0.952 & 0.357 & 0.519 \\ moonInSemiRing2U2 & 0.200 & 0.874 & 0.326 & 1.000 & 1.000 & **1.000** & 1.000 & 0.929 & 0.963 \\ twoMoonsMirror2U1 & 0.174 & 0.847 & 0.288 & 0.685 & 1.000 & 0.813 & 0.945 & 0.813 & **0.874** \\ twoMoonsMirror2U2 & 0.222 & 0.806 & 0.349 & 0.926 & 1.000 & **0.961** & 0.987 & 0.935 & 0.960 \\ twoSemiRings2U1 & 0.071 & 0.714 & 0.130 & 1.000 & 1.000 & **1.000** & 1.000 & 0.361 & 0.531 \\ twoSemiRings2U2 & 0.063 & 0.581 & 0.113 & 1.000 & 1.000 & **1.000** & 1.000 & 0.445 & 0.616 \\ moonInRing2 NU1 & 0.067 & 0.271 & 0.108 & 0.267 & 0.666 & 0.381 & 0.513 & 0.381 & **0.437** \\ moonInRing2 NU2 & 0.059 & 0.344 & 0.101 & 0.067 & 0.598 & 0.120 & 0.706 & 0.197 & **0.308** \\ moonInSemiRing2 NU1 & 0.100 & 0.692 & 0.175 & 0.207 & 0.763 & 0.325 & 0.535 & 0.291 & **0.377** \\ moonInSemiRing2 NU2 & 0.237 & 0.685 & 0.352 & 0.263 & 0.793 & 0.395 & 0.715 & 0.586 & **0.644** \\ twoMoonsMirror2 NU1 & 0.185 & 0.777 & 0.299 & 0.354 & 0.900 & 0.508 & 0.698 & 0.450 & **0.547** \\ twoMoonsMirror2 NU2 & 0.244 & 0.794 & 0.373 & 0.476 & 0.922 & 0.628 & 0.852 & 0.693 & **Based on Figure 5, it can be observed that for the GD and UGD methods the change of applied data particles number from 2 to 4 causes a comparable increase of obtaining F-measure values and it oscillates around the value of 0.145. At this stage, a slight predominance of UGD over GD can be noted. In the next two ranges:  
* [4; 8],
* [8; 16]  
The derivatives of function F-measure'(p) for both approaches are significantly different and the Geometrical Divide method comes out more favourably than the Unequal Geometrical Divide algorithm. Analysing the next ranges:  
* [16; 32],
* [32; 64],
* [64; 128],  
It can be pointed out that the derivative of function F-measure'(p) for UGD obtains substantially higher values than the derivative of the function for the GD method. Furthermore, in the mentioned ranges a considerable decrease of the derivative for the GD approach can be seen. Figure 6 was prepared in order to examine the full improvement of results by both methods in comparison to the results obtained without geometrical data particles divide. Analysing Figure 6 it can be noticed that both methods improve the base result of nearly 0.145 if four data particles are applied. For the Geometrical Divide method, a significant improvement of results can be observed for the number of data particles from range [8; 32] as well. On the other hand, for the Unequal Geometrical divide approach, using the same data particles number, an increase of results is quasi linear. The GD and UGD methods, applying 64 data particles, obtained similar results of F-measure measure, which oscillated in the range from 0.395 to 0.425. It is worth paying attention to the fact that in case of the GD approach, the further increase of the data particles number does not improve the results. However, the GD algorithm slightly outperformed the UDG method, when 128 data particles are applied in divide process. It can be noted as well that the final improvement of base results, obtained by using one of the geometrical divide methods, is asymptotically convergent to the value of 0.425. Figure 5: Change of the F-measure (p) function value in relation to the change of number of applied data particles.