ℋolo

 30 Fermat's Last Theorem and Faltings' Theorem. 20 How does one evaluate $1+2-3-4+5+6-7-8+\cdots+50$? 9 Proof that the number of proofs is countably infinite 9 Let $f\in L^1(\mathbb R)$ and let $F,G:\mathbb R\to\mathbb R$ be the functions defined by: … 7 $\bigcap I_\gamma$ unbounded if $I_0 \supset \cdots \supset I_{\gamma}\supset \cdots$ are unbounded

### Reputation (6,965)

 +10 Show function $f(x,y)=(x^2-y^2,2xy)$ is $1$-$1$ by Inverse Function Theorem +10 Linear order of the quotient generated from Vitali relation implies non-measurability of subset of reals +10 Linear order of the quotient generated from Vitali relation implies non-measurability of subset of reals +10 Proving the inequality of given function

### Questions (36)

 5 Linear order of the quotient generated from Vitali relation implies non-measurability of subset of reals 5 Prove that $\lim\limits_{x\to\infty}\frac1x=0$ 4 Is $c + \sin c + \sin\sin c + \sin\sin\sin c + \cdots$ convergent? 4 differential-equation with trigonometric functions 3 Symmetry of second derivative - Sufficiency of twice-differentiability

### Tags (159)

 66 elementary-set-theory × 50 29 algebra-precalculus × 23 65 calculus × 64 28 summation × 6 60 real-analysis × 50 25 elementary-number-theory × 6 38 limits × 46 24 proof-verification × 36 36 number-theory × 4 24 set-theory × 13

### Accounts (9)

 Mathematics 6,965 rep 22 gold badges1212 silver badges3333 bronze badges MathOverflow 313 rep 11 silver badge99 bronze badges Area 51 271 rep 77 bronze badges Puzzling 209 rep 11 silver badge55 bronze badges Stack Overflow 111 rep 66 bronze badges