دوره 13، شماره 2 - ( 7-1397 )
جلد 13 شماره 2 صفحات 99-93 |
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Mirzaie R. Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds. IJMSI 2018; 13 (2) :93-99
URL: http://ijmsi.ir/article-1-833-fa.html
URL: http://ijmsi.ir/article-1-833-fa.html
Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds. مجله علوم ریاضی و انفورماتیک. 1397; 13 (2) :93-99
چکیده:
If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of graph(f)
is as big as possible and the lower box dimension of graph(f) is as small as possible.
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