## Quarterly of Applied Mathematics, Volumes 7-8Brown University, Division of Applied Mathematics, 1949 - Mathematics |

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### Contents

An iterative method for finding the smallest eigenvalue of a matrix 234 | 65 |

A theorem concerning the positions of equilibrium of a rigid body 472 | 129 |

The diffraction of a plane wave through a grating 45 | 213 |

8 other sections not shown

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### Common terms and phrases

amplitude approximation assumed asymptotic beam Bessel functions boundary conditions boundary layer bounded Brown University calculated carrier characteristic coefficients components computation consider constant convergence coordinates correlation function corresponding cosh curve defined denote derivatives determined differential equation discussion distribution elastic elliptic integrals energy expression field finite flow fluid formula Fourier frequency given gives heat Hence hodograph incompressible infinite integral equation Laplace's equation Lemma limiting linear loading Mach number Mach wave Math matrix method motion noise normal obtained output paper parameter partial differential equations plane plastic potential problem region relations replaced respect satisfy shock wave shown in Fig singularity sinh solution solved strain stream function streamline stress Substituting supersonic surface temperature tensor theorem theory transform vanishes variables vector velocity velocity potential viscous zero