The sequence of events is always either regular or chaotic. Regularity is an ordered sequence of events. In a chaotic sequence, however, such a law does not appear. This is our judgment, but from a philosophical point of view, this problem can be approached realistically. The sequence of natural numbers, the series of objects that cause and effect each other, many natural phenomena, and the limits of the set of human forces follow each other with a certain regularity. The sequence of natural numbers follows one another according to the law "n + 1". As well as it is also possible to show the formulas for the regularity of these sets, i. e. regular systems. This applies to regular systems that have both finite and infinite number of limits. However, is it possible to collect them under a certain law, as in chaotic sequences? At first glance, it seems that, as its name suggests, if a sequence is "chaotic", then there is no question of "order". But in any case, as if in any plurality, if you look closely, you can see any order, taking into account certain "signs" of the limits in this or that arrangement. In this article, we will look for a mathematical answer to such a philosophical question and try to show that there is a certain order in any chaos. In other words, no set of events in the universe is irregular. We will explain this according to Lagrange's "interpolation" formula.

The values of pseudo-first-order rate constants (kobs) for the acetolysis of phthalic anhydride (PAn) increase from 6.60×10-7 to 31.5×10-7 s-1 with the increase in temperature from 30 to 50oC. These values of kobs give activation parameters DH* and DS* as 14.4±0.4 kcal mol-1 and-39.1±1.3 cal K-1 mol-1, respectively. The values of k obs remain essentially unchanged with the increase in the content of (cs) ((cs)=CH3CN or THF) from 0 to 40 % v/v in mixed AcOH–(cs) solvents. These observations have been explained qualitatively.

Polyvinyl alcohol (PVA)/chitosan ((cs)) and PVA/ (cs)/carbon nanotube (CNT) nanofibers were fabricated by electrospinning method. Scanning electron microscopy (SEM), Fourier transform infrared spectroscopy (FTIR), X-ray diffraction (XRD) analysis and water contact angle (WCA) tests were used to evaluate the morphology and some properties of electrospun fibers. The results showed that the most appropriate mass ratio of PVA/(cs) resulting in uniform and smooth nanofibers was 2.8:1, and this morphology was not affected by the addition of CNT. However, the presence of CNT caused a significant decrease in fibers’ diameter from 519 nm to 85 nm. The compatibility of CNT with PVA/(cs) and crosslinking between the components was confirmed by the XRD and FTIR analysis. Improving the hydrophilic properties of the fibrous mat was admitted by the WCA test.Keywords: Polyvinyl alcohol (PVA);chitosan ((cs)); Carbon nanotube (CNT), Electrospinning