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### Questions (48)

 4 Construction of a group of complex numbers [duplicate] 3 Solution verification: $\sup S\;\&\;\inf S,\;S:=\left\{\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a}:\;a,b,c\in\langle 0,+\infty\rangle\right\}$ 2 Intersection of equivalence classes of two equivalence relations 2 Largest possible families of a set of n elements 2 Complete induction, circles in a plane, spheres in 3-D space

### Reputation (593)

 +30 Solution verification: $\sup S\;\&\;\inf S,\;S:=\left\{\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a}:\;a,b,c\in\langle 0,+\infty\rangle\right\}$ +10 Discussion on choosing the optimal method in finding:$\lim_{x\to 0}\frac{\sqrt{\cos2x}\cdot e^{2x^2}-1}{\ln{(1+2x)\cdot\ln{(1+2\arcsin{x})}}}$ +10 Solution verification: $2851^{604^{20}}\overset{\text{?}} \equiv\pmod{14}$ +10 Limit of the binomial coefficients

 1 How do I write a rigorous proof of the following problem: $(A \triangle B) \cup C \neq (A \cup C) \triangle (B \cup C)$ 1 highest power of Prime 0 Union of subspaces in $\mathcal P_n$

### Tags (59)

 1 elementary-set-theory × 8 0 functions × 8 1 elementary-number-theory × 2 0 proof-verification × 8 0 real-analysis × 17 0 contest-math × 7 0 linear-algebra × 14 0 functional-analysis × 6 0 vector-spaces × 10 0 supremum-and-infimum × 4

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