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An expert is a man who has made all the mistakes, which can be made, in a very narrow field. (Niels Bohr)


Dec
2
reviewed Leave Open Using mathematical induction show that $\sum_{i=1}^{n+1} i\cdot2^i = n\cdot2^{n+1}+2$ for all $n\ge0$
Dec
2
reviewed Close Inverse of $f(x) = xe^x-x$
Dec
2
reviewed Close Write down the union and intersection of $100$ sets
Dec
2
reviewed Close Cross product of two vectors, given magnitudes and angle
Dec
2
reviewed Close Curvature 2-form vs. Sectional Curvature
Dec
2
reviewed Close Proof that a continuous function is zero
Dec
2
reviewed Close Zeroes of an entire function such that $|f(z)|>1 , \forall |z|>1$
Dec
2
reviewed Close Prove that $q$ is a perfect square
Dec
2
reviewed Close binomial coefficient and recurrence relation
Dec
2
reviewed Close If $fg=0$ on a connected region , where $f,g$ are analytic on the connected region , then is either of $f,g$ identically $0$?
Dec
2
revised The inverse of a bijective holomorphic function
deleted 30 characters in body
Dec
2
answered The inverse of a bijective holomorphic function
Dec
2
reviewed Close How to split a dataset in test and training set?
Dec
1
reviewed Close Find a differentiable function that satisfies following conditions.
Dec
1
reviewed Close A doubt about the proof of the fact that $\mathbb Z [(1+\sqrt{-19})/2]$ is a pid
Dec
1
reviewed Close Use mathematical induction to prove $\sum_{i=1}^{n}(2i+4)=n^2+5n$
Dec
1
reviewed Leave Open Numerically Solving a Second Order Nonlinear ODE
Dec
1
reviewed Approve Show that $a^5$ is a primitive root mod $p$ implies a is a primitive root mod $p$
Dec
1
revised Is$[0,1] \left\backslash\right. \left\{ 1/n :n \in \mathbb Z^+ \right\}$ compact if given the subspace topology?
added 23 characters in body; edited title
Dec
1
comment Prove that the sequence converges to zero
@daren Calculate and check. $\sqrt{n+3}-\sqrt n=\frac{\sqrt{n+3}+\sqrt n}{\sqrt{n+3}+\sqrt n}\cdot \sqrt{n+3}-\sqrt n= \ldots = \frac3{\sqrt{n+3}+\sqrt n}$