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His student and collaborator, Vladimir Steklov, recalled his first lecture in the following way: " A handsome young man, almost of the age of the other students, came before the audience, where there was also the old Dean, professor Levakovsky, who was respected by all students.
After the Dean had left, the young man with a trembled voice started to lecture a course on the dynamics of material points, instead of a course on dynamical systems.
This subject was already known to the students from the lectures of professor Delarue.
But what Lyapunov taught us was new to me and I had never seen this material in any textbook.
All antipathy to the course was immediately blown to dust.
From that day students would show Lyapunov a special respect.

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