The tracing of external and internal representation functions of continuous functions of several variables by superposition of continuous functions of one variable

In this article we present effective procedures of Kolmogorov's representation of continuous functions of several variables by superposition of continuous functions of one variable. On the one hand, we show internal functions from Sprecher's process in explicit form, on the other hand, we construct external functions using only the information about modules of continuity of the initial function of several variables.