## Russian Mathematical Surveys |

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### Contents

1 1124 DOI 10 1070RM2004v059n01ABEH000698 | 12 |

On Hilberts thirteenth problem and related questions | 13 |

Entropy estimates for compact sets of smooth functions | 18 |

Copyright | |

16 other sections not shown

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### Common terms and phrases

2000 Mathematics Subject A. N. Kolmogorov Akad algebra analytic arbitrary assume asymptotic behaviour attractor boundary classical coefficients complete computing condition cone consider constant construction continuous functions convergence corresponding defined denote derivative diffeomorphisms differential equations distance matrix distribution Dokl dynamics elements English transl example expansion exponents field finite flow formula Fourier Fourier series Frobenius Frobenius algebra graph Hausdorff distance hence homomorphism inequality integral intuitionistic logic isometry isomorphism lattice Lemma linear logarithmic Logic of Proofs Math Mathematics Subject Classification measure metric space monomial Moscow multiplicative Nauk SSSR obtained operator paper parameter Polish space polynomial power-law prime rings probability problem processes properties proved random respect result Reynolds number rotation number Russian satisfies sequence smooth solution spectrum stochastic structure subset superposition symmetric Theorem theory truncated equation turbulence universal Urysohn space Uspekhi Mat values variables vector velocity zero