Transactions of the Cambridge Philosophical Society, المجلد 22University Press, 1923 |
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الصفحة 16
... constants , real or complex ; it is convenient to determine a so that arg a < π . The hypotheses * which we shall now make concerning the function ( s ) are as follows : ( i ) That a number , h1 , exists such that ( s ) is analytic on ...
... constants , real or complex ; it is convenient to determine a so that arg a < π . The hypotheses * which we shall now make concerning the function ( s ) are as follows : ( i ) That a number , h1 , exists such that ( s ) is analytic on ...
الصفحة 17
... constant , ' ' of the order of , ' and of order less than , ' respectively ; thus f ( x ) = 0 ( g ( x ) ) means that Lt sup { \ f ( x ) | ÷ g ( x ) } is finite ; while f ( x ) = o ( g ( x ) ) means that Lt sup { | f ( x ) | ÷ g ( x ) ...
... constant , ' ' of the order of , ' and of order less than , ' respectively ; thus f ( x ) = 0 ( g ( x ) ) means that Lt sup { \ f ( x ) | ÷ g ( x ) } is finite ; while f ( x ) = o ( g ( x ) ) means that Lt sup { | f ( x ) | ÷ g ( x ) ...
الصفحة 42
... constant can be determined if the pressure is known at any one point . It is to be noticed that equation ( 7 ) does not restrict the value of c except to the range −1 < c < 1 . Substituting the value of cos 0 , so obtained , we have 6μ ...
... constant can be determined if the pressure is known at any one point . It is to be noticed that equation ( 7 ) does not restrict the value of c except to the range −1 < c < 1 . Substituting the value of cos 0 , so obtained , we have 6μ ...
الصفحة 44
... constant distance x from O ' towards O , i.e. we suppose the line of action of the applied force to be independent of the velocity of the journal and of the load applied to it . Then hence M'M " - R'x , x " = λ ' + x / α , where " is ...
... constant distance x from O ' towards O , i.e. we suppose the line of action of the applied force to be independent of the velocity of the journal and of the load applied to it . Then hence M'M " - R'x , x " = λ ' + x / α , where " is ...
الصفحة 45
... constant distance along the ordinates into the position of curve 3 exhibits X " . The displacement of curve 2 to produce curve 3 may be either upwards or downwards . A C B Fig . 3 . In figure 3 a typical curve is drawn showing the ...
... constant distance along the ordinates into the position of curve 3 exhibits X " . The displacement of curve 2 to produce curve 3 may be either upwards or downwards . A C B Fig . 3 . In figure 3 a typical curve is drawn showing the ...
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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