Top network posts

• 17 Solve these functional equations: $\int_0^1\!{f(x)^2\, \mathrm{dx}}= \int_0^1\!{f(x)^3\, \mathrm{dx}}= \int_0^1\!{f(x)^4\, \mathrm{dx}}$
• 12 Numbers such that they equal the product of their own digits
• 8 Number of $n^2\times n^2$ permutation matrices with a 1 in each $n\times n$ subgrid
• 8 Why are digits written in groups of three?
• 8 For a continuous function $f$ satisfying $f(f(x))=x$ has exactly one fixed point
• 7 Prove this inequality: $\frac{b+c}{\sqrt{a}}+\frac{c+a}{\sqrt{b}}+\frac{a+b}{\sqrt{c}}\geq \sqrt{a}+\sqrt{b}+\sqrt{c}+3$
• 7 How do I prove that among any $5$ integers, you are able to find $3$ such that their sum is divisible by $3$?
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