User christian blatter - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T06:27:45Z http://mathoverflow.net/feeds/user/4554 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/18593/what-are-the-worst-notations-in-your-opinion/18641#18641 Answer by Christian Blatter for What are the worst notations, in your opinion ? Christian Blatter 2010-03-18T19:24:22Z 2010-03-18T19:24:22Z <p>Students have big difficulties when first confronted with the $o(\cdot)$ and $O(\cdot)$ notation. The term $o(x^3)$, e.g., does not denote a certain function evaluated at $x^3$, but a function of $x$, defined by the context, that converges to zero when divided by $x^3$. </p> http://mathoverflow.net/questions/17679/how-to-find-a-solution-to-a-particular-bottcher-equation/17864#17864 Answer by Christian Blatter for How to find a solution to a particular Bottcher equation Christian Blatter 2010-03-11T14:08:20Z 2010-03-11T14:08:20Z <p>In my answer $x \mapsto f(x)$ is the function satisfying your functional equation and $g: t \mapsto g(t)$ is defined explicitly in terms of $f$. After some computation you will see that $g$ satisfies a functional equation of the stated type. Begin with $$\exp(2 g(t))=(f(a^{1/3}(1+t)))^2= \ldots$$</p>