Timeline for Can a continuous, nowhere differentiable function have specified "shape" at every point?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| May 27, 2011 at 15:12 | comment | added | Thomas Kragh | Wildly oscilating refers to $\phi(x)/x$ being both close to zero and unbounded for very small $x$. The assumption WLOG refers to the fact that the limit would not exist if $\phi$ were not strictly positive or negative in a small $(0,\epsilon)$ (assuming continuity). | |
| May 9, 2011 at 2:13 | comment | added | LSpice | “Assume WLOG that $\phi(x)>0$ when $x>0$.” Why? M Hall specifically wants to consider the ‘wildly oscillatory’ case. (I am supposing that $x \mapsto x\sin(1/x)$ is wildly oscillatory, anyway.) | |
| Mar 17, 2010 at 5:36 | vote | accept | Mike Hall | ||
| Mar 16, 2010 at 9:15 | history | edited | Thomas Kragh | CC BY-SA 2.5 |
changed $\overline{\lim}$ to $\underline{\lim}$
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| Mar 16, 2010 at 9:02 | history | answered | Thomas Kragh | CC BY-SA 2.5 |