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 Mar15 revised Prove that there exists a choice of $\pm$ signs deleted 4 characters in body Mar14 answered Prove that there exists a choice of $\pm$ signs Mar13 comment Evaluating the integral $\int \frac{1}{x+ \text{ ln }(x)}dx$ wolframalpha.com/input/… Mar13 comment The formula of Eclidean distance to a hyperplane. If you consider $H$ as a hyperplane in $\mathbb{R}^{mn}$ and $X$ and $Y$ are two coordinates (i.e. $X,\,Y\in\mathbb{R}$), then $mn$ real numbers, not just $X$ and $Y$, are necessary to specify a point in $\mathbb{R}^{mn}$. Mar12 answered Positive numbers inequality Mar12 comment Weaker version of the A.M.-G.M. inequality Mar12 comment Positive numbers inequality The above answer can be rescued if you show $\sum iy_i\ge \sum i\cdot\frac1n$ when $0< y_1\le y_2\le \cdots \le y_n$ and $y_1+\cdots+y_n=1$. Mar11 comment Positive numbers inequality Where did you use $y_1\le y_2\le \cdots \le y_n$? and why is $\left(\frac2{n(n+1)}\sum y_i\right)^{\log_2 3}\ge \frac1{n^2}$ (the last inequality)? Feb17 comment prove that $f_n = 37111111…111$ is never prime Try Factor[371], Factor[3711], Factor[37111] etc. (up to $n=10$) with WolframAlpha. Feb17 comment common probability Was your sampling not repeated? The above data only suggest that the data from the lab and that from the field are different. Are there any reasons for believing that they are "same things"? Feb14 comment Solving a system of equations with an inequality constraint What sort of functions are $f_1$, $f_2$ and $f_3$? Feb13 comment Model a chemical phenomenom Yes, periodic boundary conditions are often used in mathematical / physical modeling and are a good starting point. Feb12 comment Model a chemical phenomenom I think the lattice should reflect the actual shape of the receptor, but you could start with a rectangle (if it's 2D) or a cuboid (if it's 3D). Feb11 answered Model a chemical phenomenom Feb10 comment Express $\binom{n+2}{k}$ according to $\binom{n}{k}$ Similar question: math.stackexchange.com/questions/649567/… Feb9 awarded Informed Feb9 answered Showing the “only if” direction of equality in a complex equality Feb6 answered A reccurent sequence Feb5 revised Find one solution for system of inequalities (if exits) deleted 194 characters in body Feb5 comment Hard inequality with conditions Then you can construct a counterexample easily, following the above argument. (such as in the case $b_2/g_2=r_2>1$ and $b_3/g_3=r_3<1$)