Graph 3. Functions for the interval [17; 27] for 110 elements
If we compare the values from 20 to 30, then we can see that the graph is preserved, but the level of coincidence of these graphs for 110 elements begins to decrease each time and what becomes even more noticeable when considering at the initial stages of the function, which was still noticeable in the previous graph, however, in this case this effect has intensified, although the overall completion of the graph has also been preserved, maintaining the same condition for approaching the level of reduction to the state of a straight line with fluctuations (Graph 4).
Graph 4. Functions for the interval [20; 30] for 110 elements
More significant changes, but at the same time a high level of coincidence is observed when considering the same large peaks of the graphs in the range from 30 to 40. At the same time, a decrease in correlation is observed at the moment of the initial state of the graph. However, another distinctive feature of the next level of the graph, unlike the previous one, is also the appearance of a straight line, the level of which is increasingly decreasing closer to an increase in the number of steps, the total number of elements of which continue to remain Graph. 5.
Graph 5. Functions for the interval [30; 40] for 110 elements
However, the tendency to preserve function matches is lost immediately in the next interval from 40 to 50 for the same 110 elements. In this case, the picture of the graph itself is already somewhat different. If we talk about its initial position, then indeed the differences in functions continue to increase somewhat, however, with increasing steps, we can observe a picture when the upper function begins to stand out, and other functions connect with other graphs forming an orange line. This time, the yellow upper function begins to increase distinctly, each time increasing by certain peaks, after which the graph falls off again, but quickly begins to gain growth again. This stage of growth is surprisingly quite interesting, because there is a double stage of doubling of peaks, after which the next small, but also doubled peak comes out, between each of which there is an increase, however, relatively small. Then this situation repeats again for the next maximum peaks, followed by a sharp and fairly rapid decline, after which the situation again reduces to a state of small increases until the overall picture decreases to standard small fluctuations in the cycle – a comparatively formed straight line. The second function in this case has a slightly different, more singular character due to the fact that correlation is observed for the first single peaks, followed by a faster decline at the end of Graph 6.
Graph 6. Functions for the interval [40; 50] for 110 elements
The picture described for the situation from 40 to 50 retains its specific role model for the subsequent graph for numbers from 50 to 60, which can be traced during its analysis, however, in this case, the role of the upper and lower maximum functions, of course, are already other values, which also carry a sharper increasing However, this, along with other things, can be traced during the analysis of the maximum and average initial peaks, after which there was a small drop, and after the maximum – a sharper one, as can be seen, with a large coincidence for the peaks on Graph 7.
Graph 7. Functions for the interval [50; 60] for 110 elements
Thus, in the future, graphs are presented for the intervals from 60 to 70, where, surprisingly, a sharp increase in correlation can be observed again, when part of the functions goes down as a separate line, and one single one acts as the only upper correlating one (Graph. 8). In the future, the graph begins to change again for the interval from 70 to 80 and the state described in the early interval for the interval from 40 to 50, it will be possible to observe an increase in the number of peaks at the beginning to two classes, and in the center of three large maximum peaks, where you can observe a situation where the main plan describes the main yellow function, correlation with which it increases for the red function at the third peak and with a small second central right peak, from where it is possible to trace the similarity of the pictures, but with a noticeable shift in Graph 9.
Graph 8. Functions for the interval [60; 70] for 110 elements
Graph 9. Functions for the interval [70; 80] for 110 elements
The continuation of the study allows us to observe the similarity of the interval from 17 to 27, from 20 to 30, from 60 to 70 and from 80 to 90, without small distinguishing features, as can be seen in Graph 10. And the situation for the interval from 90 to 100 is one of the most beautiful images, because here almost every graph is not like another, although most of them retain their definite trend, as can be seen in Graph 11. After that, the interval from 190 to 200 takes a more ordered, beautifully shaped form, where most of the functions take their general, uniform form, however, with a different level of bias with a decrease in the degree of correlation for each of them (Graph. 12).
This difference begins to decrease when analyzing Graph 13 for numbers from 290 to 300, where you can pay attention to an already more clearly verified and rather beautiful picture. This aspect is already beginning to change, leading to an increase in the degree of differing properties between functions from 390 to 400, as can be seen in Graph 14. The subsequent increase in the degree of gaps leads to the continuation of such a trend, which is clearly seen in a cardinal difference with the formation of a real house in the range from 490 to 500, so that even when most functions have already reached the final form, some functions begin to continue to increase forming massive peak forms (Graph. 15).
The continuation of the growth of the boundaries leads to a further increase, so the initial shape of the graph begins with a sharp increase, then decreases, and then continues at maximum peaks, which has never been repeated before, given that the graphs decline further and then sharply increase again to two peaks (Graph. 16). Further, the situation with a small difference continues at the moment from 690 to 700, while having a sharp shift of large peaks, having an elongation in the initial difference and the range of the initial small class of peaks (Graph. 17). And it would seem that the correlation situation can be increased, however, according to the graphs for values from 790 to 800, from 890 to 900, from 990 to 100, they retain the form of a house (Graph 18—20).
Graph 10. Functions for the interval [80; 90] for 110 elements
Graph 11. Functions for the interval [90; 100] for 110 elements
Graph 12. Functions for the interval [190; 200] for 110 elements
Graph