Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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النتائج 1-5 من 89
الصفحة 19
... 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 ( 1 − ...
... 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 ( 1 − ...
الصفحة 21
... formula : K - | Ex ( x − y ) | < K ex - y + ( x − y ) ' I ( k + 1 ) г ( k + 1 ) ' - and on the portion of the contour under consideration | x - Hence | I ' ' | < 1 y│ > K│x . | x2 - 1 \ . r ( k + 1 ) √ K { | x −1 g2¬y | + 1 } ...
... formula : K - | Ex ( x − y ) | < K ex - y + ( x − y ) ' I ( k + 1 ) г ( k + 1 ) ' - and on the portion of the contour under consideration | x - Hence | I ' ' | < 1 y│ > K│x . | x2 - 1 \ . r ( k + 1 ) √ K { | x −1 g2¬y | + 1 } ...
الصفحة 26
... formula of § 6 for F ( y ) in the equation ( 8 ) we see that if one or more of the numbers arg 2+ arg ( exp ( 2πiμ / a ) } | - ( μ = p , 1 - p , 2 − p , -- -- ... + p ) is less than , and if none are greater than , the asymptotic ...
... formula of § 6 for F ( y ) in the equation ( 8 ) we see that if one or more of the numbers arg 2+ arg ( exp ( 2πiμ / a ) } | - ( μ = p , 1 - p , 2 − p , -- -- ... + p ) is less than , and if none are greater than , the asymptotic ...
الصفحة 27
... formula containing a definite number of terms , valid over the region specified by ( 14 ) . In the immediate vicinity of the curves sin y log - cos y arg z = ± πA , the only result concerning f ( x ) which we can obtain is an equation ...
... formula containing a definite number of terms , valid over the region specified by ( 14 ) . In the immediate vicinity of the curves sin y log - cos y arg z = ± πA , the only result concerning f ( x ) which we can obtain is an equation ...
الصفحة 30
... formula , we may write this result in the form K < ¡ JI ( k + 1 ) { log I ' ( k + 1 ) { log k } 1 - R ( 8 ) Next we have to estimate the value of the integral - Se [ -log ( 1-1 ) ] * ( 1-3 ) Ex ( x − y ; M , c ) dy . . ( 196 ) . We ...
... formula , we may write this result in the form K < ¡ JI ( k + 1 ) { log I ' ( k + 1 ) { log k } 1 - R ( 8 ) Next we have to estimate the value of the integral - Se [ -log ( 1-1 ) ] * ( 1-3 ) Ex ( x − y ; M , c ) dy . . ( 196 ) . We ...
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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