Mathematicians in ancient times (Euclid, Archimedes) used the concept of convergence in using series to find areas and volumes. Kudryavtsev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. The following techniques provide solutions for 90 to 95% of all convergence problems. In these terms, the closure of a set lying in a topological space $X$ is described in the following way: In order for a point $x$ to belong to the closure $\bar{A}$ of a set $A \subset X$ it is necessary and sufficient that a certain generalized sequence of points in $A$ converges to $x$; for a topological space to be a Hausdorff space, it is necessary and sufficient that every generalized sequence of points of it has at most one limit. ; Discrete parameters: the phylogenetic tree. The concept of faster convergence and divergence is also used for improper integrals, where one of the most widespread methods of acceleration of convergence (divergence) of integrals is the method of integration by parts. Go and make a new mathematical model out of scratch. If a concept of convergence of sequences of elements of a set $X$ is introduced, i.e. [P.S. $$ In terms of the concept of almost-everywhere convergence or convergence in the mean of order $p$, it is possible to formulate conditions for limit transition under the integral sign. Further extensions of the concept of convergence arose in the development of function theory, functional analysis and topology. However, convergence is not always confirmed. In this approach, the aggregation equation … I will present them with simple definitions: Monotonic Convergence: Direct convergence to the fixed point, fixed point is… A sequence \eqref{eq4} of functions $f_n \in L_p(X)$, $1