Bulletin of the American Mathematical SocietySociety, 1934 |
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Page 415
... exist and are equal . By a Lemma of Hildebrandt , * lim , amn then exists uniformly in m . From the above Lemma we infer that lim , bmn exists uniformly . * Hildebrandt , On a generalization of a theorem of Dini on sequences of con ...
... exist and are equal . By a Lemma of Hildebrandt , * lim , amn then exists uniformly in m . From the above Lemma we infer that lim , bmn exists uniformly . * Hildebrandt , On a generalization of a theorem of Dini on sequences of con ...
Page 726
... exists an integer M such that all solutions of { F } satisfy FM + 1 } . But there must exist at least r independent solutions of { F } in conse- quence of the conditions { D , } . Hence the conditions { D , } are sufficient for the ...
... exists an integer M such that all solutions of { F } satisfy FM + 1 } . But there must exist at least r independent solutions of { F } in conse- quence of the conditions { D , } . Hence the conditions { D , } are sufficient for the ...
Page 896
... exists and lim . F ( x + hx , z ) = F ( x , z ) uni- formly for all x and all z in C. Then it follows that ( a ) f ( x ) is u.a.p. ( b ) The number P of numbers which can be approached by se- quences of R is finite . ( c ) The module of ...
... exists and lim . F ( x + hx , z ) = F ( x , z ) uni- formly for all x and all z in C. Then it follows that ( a ) f ( x ) is u.a.p. ( b ) The number P of numbers which can be approached by se- quences of R is finite . ( c ) The module of ...
Contents
An Arithmetical Property of Recurring Series of | 825 |
On the Enumeration of Magic Cubes By D N LEHMER | 833 |
The Principal Matrices of a Riemann Matrix By A | 843 |
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a₁ Abstract algebra analytic Annals of Mathematics application arbitrary asymptotic b₁ bounded bounded variation Bulletin C₁ calculus coefficients contains continuous continuous function convergence corresponding Cremona transformations curvature curve defined definition degree denote derivatives determined differential equations e₁ elements exists exponential type field finite following theorem formula Fourier series Garrett Birkhoff geometry given Hence infinite integer interval invariant irreducible Journal of Mathematics L. E. Dickson lemma linear Mathematical Society Mathematische matrices method metric space National Research Fellow necessary and sufficient non-singular obtained Paris plane polynomials positive postulates prime problem Professor proof properties proved quadric rational Read Dec Received November relation satisfies sequence solution space sufficient condition summable surface symbols tangent theory tion Transactions transformation uniformly University values variables vector x₁ zero