When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?

نویسنده

  • Bang-Yen Chen
چکیده

1. Y. Baba, On maxima of Takagi–van der Waerden functions, Proc. Amer. Math. Soc. 91 (1984) 373–376. 2. P. Billingsley, Van der Waerden’s continuous nowhere differentiable function, this MONTHLY 89 (1982) 691. 3. A. M. Bruckner, J. B. Bruckner, and B. S. Thomson, Real Analysis, Prentice Hall, Upper Saddle River, NJ, 1997. 4. F. S. Cater, On van der Waerden’s nowhere differentiable function, this MONTHLY 91 (1984) 307–308. 5. H. Federer, Surface area II, Trans. Amer. Math. Soc. 55 (1944) 420–456. 6. , Geometric Measure Theory, Die Grundlehren der mathematischen Wissenschaften, vol. 153, Springer-Verlag, New York, 1969. 7. J. Marcinkiewicz, Sur les séries de Fourier, Fund. Math. 27 (1936) 38–69. 8. F. Riesz and B. Sz.-Nagy, Functional Analysis, Fredrick Unger, New York, 1955. 9. A. Shidfar and K. Sabetfakhri, On the continuity of van der Waerden’s function in the Hölder sense, this MONTHLY 93 (1986) 375–376. 10. , On the Hölder continuity of certain functions, Exposition. Math. 8 (1990) 365–369. 11. T. Takagi, A simple example of the continuous function without derivative, Proc. Phys.-Math. Soc. Tokyo Ser. II 1 (1903) 176–177. 12. B. W. van der Waerden, Ein einfaches Beispiel einer nicht-differenzierbaren stetigen Funktion, Math. Z. 32 (1930) 474–475. 13. H. Whitney, On totally differentiable and smooth functions, Pacific J. Math. 1 (1951) 143–159.

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عنوان ژورنال:
  • The American Mathematical Monthly

دوره 110  شماره 

صفحات  -

تاریخ انتشار 2003