Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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... vanish . The expressions for R and M given above are the same as those obtained by Sommerfeld . But the inequality of M and M ' is essential . Taking into account the fact that R acts at the point O , and R ' at the point O ' , it is ...
... vanishing of Riemann's constants and T ' . The line RP ( fig . 1 ) represents T = 0 , and 1.4 G 1.2 -8- P D 6 R 2 • 2 H L .6 .8 S P 1-0 1.2 . 1.4 - Fig . 1. Field of steady motion about one axis . = rotation about the least axis covers ...
... vanishing through the factor ( a - b ) while for the curve RP the vanishing factor is transcendental . ] = The point R where Riemann found instability for the spheroids is the point where OS ceases to be in contact with the general ...
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a₁ angle approximately asymptotic expansion atmosphere Axiom of Archimedes axis b₁ c₁ calculated coefficients considered constant convergent convex set cordon corresponding cos² curve d₁ definition denote density determined differential equations disturbance diurnal diurnal variations dyadic earth equal escape expression factor finite follows formula free path function G. H. Hardy giant star given h₂ Hence integral equation invariant Jacobian k₁ k₂ magnitude molecules obtained orbit paper parameters partitions plane positive potential Primitive Roots ratio relation respectively result rotation scalar shew shewn sin² solar solid angle solutions substitution suppose surface t₁ theorem theory v₁ values vector velocity w₁ X₁ XXII zero Σ Σ дх