Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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الصفحة
... Substitution to which is appended some investigations concerning the Transformation of Differential Operators which present themselves in Invariant Theories . By Major P. A. MACMAHON , F.R.S. VIII . Vector Integral Equations and Gibbs ...
... Substitution to which is appended some investigations concerning the Transformation of Differential Operators which present themselves in Invariant Theories . By Major P. A. MACMAHON , F.R.S. VIII . Vector Integral Equations and Gibbs ...
الصفحة 56
... substitution of for a because 1 Συν - 1 Σ = Στη Σκήτη , A function of a which satisfies these conditions is - ( 1 − x ) ( 1 − x2 ) ...... ( 1 − x2 + i + ... + i ) - ( 1 − x ) ( 1 − x2 ) ... ( 1 − x11 ) . ( 1 − x ) ( 1 − x2 ) ...
... substitution of for a because 1 Συν - 1 Σ = Στη Σκήτη , A function of a which satisfies these conditions is - ( 1 − x ) ( 1 − x2 ) ...... ( 1 − x2 + i + ... + i ) - ( 1 − x ) ( 1 − x2 ) ... ( 1 − x11 ) . ( 1 − x ) ( 1 − x2 ) ...
الصفحة 100
... acknowledgments to the SYNDICS of the University Press for their liberality in taking upon themselves the expense of printing this Volume of the Transactions . ་ VII . The Invariants of the Halphenian Homographic Substitution to.
... acknowledgments to the SYNDICS of the University Press for their liberality in taking upon themselves the expense of printing this Volume of the Transactions . ་ VII . The Invariants of the Halphenian Homographic Substitution to.
الصفحة 101
... substitution , and the invariants , algebraic and operational , are exhibited in their categories . Attention may be directed to the symbolic method of Art . 8 . Section II treats of the transformation of linear operators in general ...
... substitution , and the invariants , algebraic and operational , are exhibited in their categories . Attention may be directed to the symbolic method of Art . 8 . Section II treats of the transformation of linear operators in general ...
الصفحة 102
... substitution . They satisfy the well - known partial differential equation La = αndα , + 2α1da2 + 3αzdas + ... = 0 . In the paper communicated by me to the Cambridge Philosophical Society in 1908 I considered Sylvester's substitution x ...
... substitution . They satisfy the well - known partial differential equation La = αndα , + 2α1da2 + 3αzdas + ... = 0 . In the paper communicated by me to the Cambridge Philosophical Society in 1908 I considered Sylvester's substitution x ...
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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