Seewoo Lee

 22 Is a function periodic $f(x) = \cos (x) +\cos(x^2)$ 15 Is it true that $76^n=76\pmod{100}$ for all $n>0$? 14 Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$? 13 $f$ convex, $g$ concave and increasing, $\int_0^1 f = \int_0^1 g$, then $\int_0^1(f)^2 \geq \int_0^1(g)^2$ 12 How to prove that there is no differentiable function with given partial derivatives

### Reputation (8,783)

 +5 Furstenberg's topological proof of infinitude of primes +75 Find the limit of sequence $a_{n+1} -a_{n}$ +5 Does non vanishing Jacobian implies injectivity? +5 Why do we have to deal with constructible sets?

### Questions (151)

 29 Why $\sqrt[3]{3}\not\in \mathbb{Q}(\sqrt[3]{2})$? 12 Too much long line 11 Is there a proof of quadratic reciprocity using $p$-adic numbers? 10 Why do we have to deal with constructible sets? 9 Center of $\pi_{1}(\mathbb{R}^{3} \backslash \text{trefoil knot})$ and $\mathrm{PSL}_{2}(\mathbb{Z})$

### Tags (216)

 93 real-analysis × 33 39 definite-integrals × 12 66 calculus × 23 38 integration × 12 59 abstract-algebra × 23 37 inequality × 9 57 sequences-and-series × 25 36 algebra-precalculus × 7 41 trigonometry × 8 34 number-theory × 52