Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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النتائج 1-5 من 100
الصفحة 1
... write in the usual notation A1 , A2 , A3 , ... ) ( 1 − α1x ) ( 1 − α2x ) ( 1 — α ̧x ) ... = 1 − α1x + α2x2 — AzxX3 + ... — - - ax - - 1 1+ h1x + h2 x2 + hzx3 + ... > so that the quantities a are the elementary symmetric functions and ...
... write in the usual notation A1 , A2 , A3 , ... ) ( 1 − α1x ) ( 1 − α2x ) ( 1 — α ̧x ) ... = 1 − α1x + α2x2 — AzxX3 + ... — - - ax - - 1 1+ h1x + h2 x2 + hzx3 + ... > so that the quantities a are the elementary symmetric functions and ...
الصفحة 3
... write them 2 米, 1 米, 0 米, 0 米, 0 米. With these consider objects specified by ( 32 ) as being the second elements of biparts ; these are or as they may be written 1 , 1 , 1 , 0 , 0 ; * 1 , * 1 , * 1 , * 0 , * 0 . Combining the two ...
... write them 2 米, 1 米, 0 米, 0 米, 0 米. With these consider objects specified by ( 32 ) as being the second elements of biparts ; these are or as they may be written 1 , 1 , 1 , 0 , 0 ; * 1 , * 1 , * 1 , * 0 , * 0 . Combining the two ...
الصفحة 10
... write A1 = ( 1 ) , A2 = ( 2 ) , + ( 12 ) , = A , ( 3 ) , + ( 21 ) , + ( 13 ) , B1 = ( 1 ) , A1 B2 = ( 2 ) , A2 + ( 12 ) , A ̧2 B2 = ( 3 ) , A ̧ + ( 21 ) 1⁄2 A‚A , + ( 13 ) , A ̧3 where it will be noted that A1 , A2 , A3 , ... are the ...
... write A1 = ( 1 ) , A2 = ( 2 ) , + ( 12 ) , = A , ( 3 ) , + ( 21 ) , + ( 13 ) , B1 = ( 1 ) , A1 B2 = ( 2 ) , A2 + ( 12 ) , A ̧2 B2 = ( 3 ) , A ̧ + ( 21 ) 1⁄2 A‚A , + ( 13 ) , A ̧3 where it will be noted that A1 , A2 , A3 , ... are the ...
الصفحة 19
... write the formula for Gs ( x ; 0 , k ) in the form 2πix [ ε - πίβ Γ ( 1 – β ) GB ( x ; 0 , k ) = S。 1 y 0-1 log ( 1 − 2 ) ] * ̄1 ( 1 − 2 ) ° 1 Ex ( x − y ) dy [ log ( 1-2 ) ] " - 1 y - B - 1 y - 0-1 — - — « r ' ( B ) pq [ − log ( ...
... write the formula for Gs ( x ; 0 , k ) in the form 2πix [ ε - πίβ Γ ( 1 – β ) GB ( x ; 0 , k ) = S。 1 y 0-1 log ( 1 − 2 ) ] * ̄1 ( 1 − 2 ) ° 1 Ex ( x − y ) dy [ log ( 1-2 ) ] " - 1 y - B - 1 y - 0-1 — - — « r ' ( B ) pq [ − log ( ...
الصفحة 34
... partial fractions , we may write and also 1 ... m = Σ Ps , m { M ( n + c ) + 1 } { M ( n + c ) + 2 } { M ( n + c ) + m } s = 1 M ( n + c ) +8 ' ( 1 - c - sM - 1 ) ( 2 csM1 ) M ( n + c ) +8 Mn + 1 ( n + 1 ) ( n + 2 ) ( n + 1 ) ( n + 2 ) ( ...
... partial fractions , we may write and also 1 ... m = Σ Ps , m { M ( n + c ) + 1 } { M ( n + c ) + 2 } { M ( n + c ) + m } s = 1 M ( n + c ) +8 ' ( 1 - c - sM - 1 ) ( 2 csM1 ) M ( n + c ) +8 Mn + 1 ( n + 1 ) ( n + 2 ) ( n + 1 ) ( n + 2 ) ( ...
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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