RT - Journal Article T1 - Fractal Dimension of Graphs of Typical Continuous Functions on Manifolds JF - IJMSI YR - 2018 JO - IJMSI VO - 13 IS - 2 UR - http://ijmsi.ir/article-1-833-en.html SP - 93 EP - 99 K1 - Manifold K1 - Fractal K1 - Box dimension. AB - 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. LA eng UL http://ijmsi.ir/article-1-833-en.html M3 ER -