Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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النتائج 1-5 من 96
الصفحة
... contained between two Rotating Coaxal Circular Cylinders . By K. TAMAKI , Assistant Professor of Mathematics , Kyoto Imperial University , and W. J. HARRISON , M.A. , Fellow of Clare College , Cambridge ... ... ... ... ... ... ... 439 ...
... contained between two Rotating Coaxal Circular Cylinders . By K. TAMAKI , Assistant Professor of Mathematics , Kyoto Imperial University , and W. J. HARRISON , M.A. , Fellow of Clare College , Cambridge ... ... ... ... ... ... ... 439 ...
الصفحة 2
... contains 7+ Ex parts , while that which is least extended contains a number of parts equal to the greatest of the integers Σ , Σx . No generality is lost by the supposition Σπ > Σχ . In a partition of the group the biparts may be ...
... contains 7+ Ex parts , while that which is least extended contains a number of parts equal to the greatest of the integers Σ , Σx . No generality is lost by the supposition Σπ > Σχ . In a partition of the group the biparts may be ...
الصفحة 5
... contain Σπ + s or fewer parts and also appertain to the given group . Hence also the number of such partitions which contain exactly π + s parts is - Dm , Dm ... Dhx , hxa D ̧hx , hx2 hπ - 2x + 8 ̧ ... h ± −x + 8 — D # D # 2 ... .. D8 ...
... contain Σπ + s or fewer parts and also appertain to the given group . Hence also the number of such partitions which contain exactly π + s parts is - Dm , Dm ... Dhx , hxa D ̧hx , hx2 hπ - 2x + 8 ̧ ... h ± −x + 8 — D # D # 2 ... .. D8 ...
الصفحة 6
... contain exactly Es parts . The expression for the number of partitions which contain ET + 8 or fewer parts can be given the factorized symbolic form ( Σ Dπ , Dπ2 ... hπ - Σx + 8 ) • ( Σ D8hx , hx2 ...... . ) . Χ Χι As an example let us ...
... contain exactly Es parts . The expression for the number of partitions which contain ET + 8 or fewer parts can be given the factorized symbolic form ( Σ Dπ , Dπ2 ... hπ - Σx + 8 ) • ( Σ D8hx , hx2 ...... . ) . Χ Χι As an example let us ...
الصفحة 7
... contain exactly ET + 8 parts , the zero bipart 00 not being excluded as a permissible bipart , and in which no particular part ( including the bipart 00 ) occurs more than once . Of course the double sum Daxx ΣΣ D , D , ... D ̧α x , α ...
... contain exactly ET + 8 parts , the zero bipart 00 not being excluded as a permissible bipart , and in which no particular part ( including the bipart 00 ) occurs more than once . Of course the double sum Daxx ΣΣ D , D , ... D ̧α x , α ...
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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