Christian Ivicevic
Reputation
1,250
Top tag
Next privilege 2,000 Rep.
 11h accepted Solving the IVP given by $\dot x=\frac{t-x}{t+x}$ and $x(0)=1$ 16h accepted Gaussian integral $\int_{-\infty}^\infty \exp(-(x+\mathrm iY)^2)\,\mathrm d x$ along $[-R,R]+\mathrm i[0,Y]$ 20h accepted Why does $z\mapsto \exp(-z^2)$ have an antiderivative on $\mathbb C$? 1d accepted Probability space for zebras and their number of stripes 1d accepted Show that a power series is analytic inside its radius of convergence Apr 17 accepted Exact differential equation $f(t,x)+g(t,x)\dot x=0$ and constants Apr 16 accepted When is $\sin\colon\mathbb{C}\to\mathbb{C}$ purely real/imaginary? Apr 9 accepted Issues computing $\int\cos^2x~\mathrm{d}x$ without using $\sin^2(x)=1-\cos^2(x)$ Apr 9 accepted Simplify $(n+1)^{1/\sqrt{n}}$ and $(n^2+1)^{1/n}$ Mar 24 accepted Show $\sum_{k=1}^\infty \frac{k^2}{k!} = 2\mathrm{e}$ Feb 12 accepted Deducing the series expansion of $\arctan(x^2)$ via the series expansion of $\arctan(x)$ at $x=0$ Jan 27 accepted Multivariable taylor series expansion of $\exp(-(x^2+y^2))$ Jan 22 accepted Eigenvectors of $\begin{pmatrix}6&2\\-10&-1\end{pmatrix}$ (linear equations with complex numbers) Dec 15 accepted ELI5: What are pointwise and uniform convergence and what is the difference? Dec 9 accepted Show that $\int_1^\infty \frac{\ln x}{\left(1+x^2\right)^\lambda}\mathrm dx$ is convergent only for $\lambda > \frac{1}{2}$ Nov 27 accepted Throwing the dice - wrong interpretation still yields correct result Nov 22 accepted Reconstructing a function from its critical points and inflection points Nov 17 accepted Show that $\exp(x)-1=\mathcal{O}(x)$ for $x\to 0$ Nov 12 accepted Show that $\sqrt{x}$ is continuous using sequences Nov 3 accepted Prove that $x_{n+1}=\frac{x_n}{2}+\frac{1}{x_n}\geq\sqrt{2}$