Instruct: Retrieve semantically similar text.
Query: The Krylov–Bogolyubov averaging method (Krylov–Bogolyubov method of averaging) is a mathematical method for approximate analysis of oscillating processes in non-linear mechanics. The method is based on the averaging principle when the exact differential equation of the motion is replaced by its averaged version. The method is named after Nikolay Krylov and Nikolay Bogoliubov.
The Krylov–Bogolyubov averaging method is a mathematical method used to calculate the exact approximate analysis of oscillating processes in non-linear mechanics
The Krylov–Bogolyubov averaging method was first used by a man
The Krylov–Bogolyubov averaging method is difficult to understand
The Krylov–Bogolyubov averaging method is not taught inschools
Nikolay Krylov and Nikolay Bogoliuboy formulated the Krylov–Bogolyubov method of averaging.
The Krylov–Bogolyubov averaging method is rarely used
The average is slightly more than the middle.
The Krylov–Bogolyubov averaging method origins are undated
Average is an amount that falls in the middle
The situation is fluid
The operation is ongoing
There are a lot of groups of motions
a decision has been made on the subject
There is a decision that must be made
It passed through one thing, but needs approval from another now
There are two motions mentioned in the context.
the thing mentioned is limp 
There is some action goings on.
There is more than one group of motions.
It might sometimes be unclear.
it was performed a bunch of times
There is an act.
Nikolay Krylov and Nikolay Bogoliuboy were solely responsible for formulating the Krylov–Bogolyubov method of averaging.
Nikolay Krylov and Nikolay Bogoliuboy formulated the Krylov–Bogolyubov method of averaging.
The Krylov–Bogolyubov averaging method was first used by a man