  It is known that the core of mathematics is natural numbers. And everything
related to the natural number is interesting to mathematicians. In this paper,
we draw parallels between natural numbers and elements of a non-numeric
lexicographic sequence, Motzkin words (well-formed strings of parentheses and
zeros). We will also talk about the decomposition of Motzkin words into pairs
of parentheses (analogue of Prime Numbers). Finally, we will try to interest
the reader in the elements of mathematical analysis on bracket expressions. The
nesting procedure of parentheses is described by the author as the
differentiation of the weight function. We will work a little with derivatives
for bracket pairs and also give some differential equations.
