# some1.new4u

less info
reputation
2736
bio website location age 21 member for 1 year, 9 months seen Mar 13 at 15:17 profile views 610

 16 Prove that $\sqrt{2}$ is a real number. 10 How do you prove the division theorem? 8 What does limit actually mean? 5 Linear dependence and linear independence 5 how to prove $a^{p-1} + \frac{p-1}{2\cdot 1}a^{p-2} + \frac{(p-1)(p-2)}{3\cdot 2\cdot 1}a^{p-3} + … + a \in \mathbb{Z}$?

# 3,809 Reputation

 +5 Why there are $11$ non-isomorphic graphs of order $4$? +10 IMO 1988, problem 6 +10 Is it still possible for mathematicians to contribute to the theory of music? +5 Use $\epsilon-\delta$ definition of limit to prove that $\displaystyle \lim_{x \to 0} x \lfloor \frac{1}{x} \rfloor = 1$.

# 43 Questions

 25 Is it possible to put $+$ or $-$ signs in such a way that $\pm 1 \pm 2 \pm \cdots \pm 100 = 101$? 20 Is it always possible to factorize $(a+b)^p - a^p - b^p$ this way? 16 Why there are $11$ non-isomorphic graphs of order $4$? 11 How to calculate $2^{\sqrt{2}}$ by hand efficiently? 10 How to show that $A^3+B^3+C^3 - 3ABC = (A+B+C)(A+B\omega+C\omega^2)(A+B\omega^2+C\omega)$ indirectly?

# 106 Tags

 54 elementary-number-theory × 40 13 limits × 6 32 calculus × 19 9 algebra-precalculus × 11 28 real-analysis × 18 9 number-theory × 10 22 abstract-algebra × 28 9 sequences-and-series × 4 18 modular-arithmetic × 12 9 infinitesimals × 2

# 8 Accounts

 Mathematics 3,809 rep 2736 MathOverflow 238 rep 47 Area 51 151 rep 2 Physics 141 rep 5 Biology 111 rep 3