Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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النتائج 1-5 من 31
الصفحة 17
... contour which may be taken parallel to the imaginary axis passing through the point s = - where is some fixed integer , and k is taken to be such that k≥l + 1 . On the contour | k ( s + k ) −1 | ≤1 + 1 and Л | г ( −8 ) x2 ds | < 2π ...
... contour which may be taken parallel to the imaginary axis passing through the point s = - where is some fixed integer , and k is taken to be such that k≥l + 1 . On the contour | k ( s + k ) −1 | ≤1 + 1 and Л | г ( −8 ) x2 ds | < 2π ...
الصفحة 18
... contour starting from the point x , encircling the origin in a positive direction and returning to the point x . This contour is marked with double arrows in Fig . 1. The many - valued functions are specified by taking arg ( 1 - y / x ) ...
... contour starting from the point x , encircling the origin in a positive direction and returning to the point x . This contour is marked with double arrows in Fig . 1. The many - valued functions are specified by taking arg ( 1 - y / x ) ...
الصفحة 19
... contour starting from Q , encircling the origin , and returning to Q ; in the second and third integrals the many - valued functions are specified by the values which they had at P in the original loop integral before the circuit of the ...
... contour starting from Q , encircling the origin , and returning to Q ; in the second and third integrals the many - valued functions are specified by the values which they had at P in the original loop integral before the circuit of the ...
الصفحة 20
... contour in the immediate vicinity of x to be of the form shewn in Fig . 2 , since the point x is an essential singularity of the integrand : but it is easy to see that , on the corrected path ( i ) , the inequality { | logr | + | w ...
... contour in the immediate vicinity of x to be of the form shewn in Fig . 2 , since the point x is an essential singularity of the integrand : but it is easy to see that , on the corrected path ( i ) , the inequality { | logr | + | w ...
الصفحة 21
... contour under consideration | x - Hence | I ' ' | < 1 y│ > K│x . | x2 - 1 \ . r ( k + 1 ) √ K { | x −1 g2¬y | + 1 } . | dy \ . B - 1 Also , on the contour , e < K , while the length of the contour is less than K | x . Therefore ...
... contour under consideration | x - Hence | I ' ' | < 1 y│ > K│x . | x2 - 1 \ . r ( k + 1 ) √ K { | x −1 g2¬y | + 1 } . | dy \ . B - 1 Also , on the contour , e < K , while the length of the contour is less than K | x . Therefore ...
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عبارات ومصطلحات مألوفة
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