## Collected Papers from the Faculty of Science, Osaka University: Physics, Volumes 8-10Vol. 11 covers period 1943-1949. |

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### Contents

HUSIMI Kodi Some Formal Properties of the Density Matrix | 317 |

OKAYA Tokiharu On the Flow through Rough Circular Pipe | 371 |

TOMOTIKA Susumu and Hazimu UMEMOTO Note on the Appli | 379 |

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### Common terms and phrases

angle of attack approximate assume axis boundary layer calculated circular arc aerofoil circular cylinder coefficient Compressible Fluid past coordinates corresponding critical Mach number cross section curve cutting-off condition denote density matrix discussed distribution electrons elliptic cylinder emitted equation experimental expression factor fluid flow past formula given helium incompressible fluid flow integral interaction irrotational Japan liquid maximum measured mesons method mev y-rays momentum neutrons nuclear particles nucleus obtained Okaya Osaka Imperial University past a circular past an elliptic photon Phys Physico-Mathematical Society plane present paper pressure previous paper Proc quadripole region respectively scattering shearing stress shown in Fig Society of Japan spin stagnation point stream function Subsonic Flow surface symmetrical Joukowski aerofoil Table temperature thickness ratio tion Tomotika transition transport theory turbulent undisturbed flow values vector mesons velocity potential viscosity vorticity vorticity transport theory z-plane zero