Duke Mathematical Journal, Volume 10Duke University Press, 1935 - Electronic journals Without specializing in a small number of subject areas, this journal emphasizes the most active and influential areas of current mathematics. |
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54 pages matching necessary and sufficient in this book
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Contents
BECKENBACH E F Conjugate harmonic functions 335 | 33 |
BING R H AND BECKENBACH E F Conformal minimal varieties 637 | 49 |
WANG HSIENCHUNG A projective invariant of a nonholonomic surface 565 | 123 |
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a₁ algebra American Mathematical Society analytic arbitrary b₁ belongs to class boundary bounded C₁ C₂ canonical line cardinal number coefficients completely regular space conjugate consider contains continuous continuous function convergence convex coördinates corresponding curve Darboux defined definition denote dense-in-itself differential domain elements equal equation exists expansion finite fixed follows formula Fourier series function f(x geodesic given Hausdorff space Hence holds homeomorphism homotopic independent inequality integral intersection interval Lemma linear MGCF necessary and sufficient neighborhood non-void normal mapping obtain open set open subset osculating planes P₁ polynomial positive number proof prove quadric quadric Q R₁ R₂ relative topology respect result ruled surface satisfies sequence summable Suppose T₁ theorem topological space U₁ Urysohn space V₁ vectors x₁ Y₁ zero ди