## Transactions of the symposium on applied mathematics, Volume 2 |

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### Contents

Introduction | 1 |

The problem of inductive inference | 13 |

Some recent developments in analysis of variance | 47 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

algorithm Amer analysis of variance APPLIED MATHEMATICS approximately auxiliary solution Biometrika boundary conditions bounded Bureau Cauchy problem classical coefficients computing conjugate gradient method constant convergence corresponding decay parameter defined degrees of freedom denote derivatives dérivées partielles determined discussion distribution divergent integrals elementary solution entropy équations linéaires equilibrium estimate Euler-Poisson-Darboux equation evaluation example experimentwise error rate F-particles F-ratios finite formula Fourier frequentist given gradient method homogeneous hyperboliques hypothesis H0 hypothesis tested inference let us assume linéaires aux dérivées linear partial differential Math matrix mean square method of singularities molecules motion numerical analysis observations obtained Operations Research partial differential equations particles phenomena power function probability density procedure properties random variable range respect sample sequence significant solve stability statistical statistical mechanics Table theorem theory transform Tukey unstable variation vector zero