Search Results

... and proved by A. M. Liapunov in 1901. The Liapunov theorem completed the investigations of P. L. Chebyshev, A. A. Markov (the elder), and Liapunov himself along what proved to be a fundamental line of research for probability theory as a whole.A precise formulation of the Liapunov theorem is as follows. Let the independent random variables X 1,.. ., X n ...

Born Nov. 18 (30), 1859, in Yaroslavl; died Nov. 8, 1924, in Paris. Russian composer, pianist, and conductor. Son of the scholar and astronomer M. V. Liapunov.Liapunov graduated from the Moscow Conservatory in 1883 as a composer and pianist. Soon thereafter he moved to St. Petersburg, where he became good friends with M. A. Balakirev, N. A. Rimsky-Korsakov, A. K. Glazunov, and A. K...

Born Nov. 18 (30), 1859, in Yaroslavl; died Nov. 8, 1924, in Paris. Russian composer, pianist, and conductor. Son of the scholar and astronomer M. V. Liapunov.Liapunov graduated from the Moscow Conservatory in 1883 as a composer and pianist. Soon thereafter he moved to St. Petersburg, where he became good friends with M. A. Balakirev, N. A. Rimsky-Korsakov, A. K. Glazunov, and A. K...

Born Nov. 18 (30), 1859, in Yaroslavl; died Nov. 8, 1924, in Paris. Russian composer, pianist, and conductor. Son of the scholar and astronomer M. V. Liapunov.Liapunov graduated from the Moscow Conservatory in 1883 as a composer and pianist. Soon thereafter he moved to St. Petersburg, where he became good friends with M. A. Balakirev, N. A. Rimsky-Korsakov, A. K. Glazunov, and A. K...

Born Nov. 18 (30), 1859, in Yaroslavl; died Nov. 8, 1924, in Paris. Russian composer, pianist, and conductor. Son of the scholar and astronomer M. V. Liapunov.Liapunov graduated from the Moscow Conservatory in 1883 as a composer and pianist. Soon thereafter he moved to St. Petersburg, where he became good friends with M. A. Balakirev, N. A. Rimsky-Korsakov, A. K. Glazunov, and A. K...