Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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النتائج 1-5 من 72
الصفحة 15
... finite limit as n ; in order that f ( x ) may be an integral function we must take R ( a ) > 0 ; Barnes , Phil . Trans . Roy . Soc . , vol . ccvi . A. ( 1906 ) , pp . 273-278 . There is a large class of functions Fs ( x ; 0 ) which are ...
... finite limit as n ; in order that f ( x ) may be an integral function we must take R ( a ) > 0 ; Barnes , Phil . Trans . Roy . Soc . , vol . ccvi . A. ( 1906 ) , pp . 273-278 . There is a large class of functions Fs ( x ; 0 ) which are ...
الصفحة 17
... finite ; while f ( x ) = o ( g ( x ) ) means that Lt sup { | f ( x ) | ÷ g ( x ) } = 0 . X4∞ X44∞ In Parts I and III of the paper , K will be supposed to be independent of the variables x and y and also of a variable integer k . 3 ...
... finite ; while f ( x ) = o ( g ( x ) ) means that Lt sup { | f ( x ) | ÷ g ( x ) } = 0 . X4∞ X44∞ In Parts I and III of the paper , K will be supposed to be independent of the variables x and y and also of a variable integer k . 3 ...
الصفحة 24
... finite value of y , ∞ F ( y ) = Σ amyh + 1 Gß ( y ; ℗ + h + 1 , m + h + 1 ) . m = 0 is finite for any 6. We shall now shew that when argy < T , F ( y ) possesses the asymptotic expansion ey F ( y ) = FLE n = 0 S.T ( 1 - B ) yn + o ( ly ...
... finite value of y , ∞ F ( y ) = Σ amyh + 1 Gß ( y ; ℗ + h + 1 , m + h + 1 ) . m = 0 is finite for any 6. We shall now shew that when argy < T , F ( y ) possesses the asymptotic expansion ey F ( y ) = FLE n = 0 S.T ( 1 - B ) yn + o ( ly ...
الصفحة 33
... finite number of asymptotic expansions with the same ' characteristics , ' their product may be represented by an asymptotic expansion with the same characteristics that is to say that , when sh , args < + , $ ( s / a ) - - s ( s − 1 ) ...
... finite number of asymptotic expansions with the same ' characteristics , ' their product may be represented by an asymptotic expansion with the same characteristics that is to say that , when sh , args < + , $ ( s / a ) - - s ( s − 1 ) ...
الصفحة 37
... finite when n is such that ( 8 ) is not analytic near s = n . Proc . Lond . Math . Soc . , ser . 2 , vol . v . ( 1906 ) , pp . 59-118 . § See Barnes , Quart . Journ . Math . vol . xxxi . ( 1899 ) , pp . 264-314 . OF THE CAMBRIDGE ...
... finite when n is such that ( 8 ) is not analytic near s = n . Proc . Lond . Math . Soc . , ser . 2 , vol . v . ( 1906 ) , pp . 59-118 . § See Barnes , Quart . Journ . Math . vol . xxxi . ( 1899 ) , pp . 264-314 . OF THE CAMBRIDGE ...
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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