7 Book recommendation about mathematics 7 Solving the “Spider and Fly problem” using calculus 7 if $x^y=y^x$ show that $x+y>2e$ 6 How important are inequalities? 5 Prove that there is only a single point of minimum distance for $N>3$ points

### Reputation (3,775)

 +5 Are linear combinations of powers of a matrix unique? +15 Find the solution of system of non linear equations +5 Sum of elements of a finite field +15 Express the logarithm of number 63 to the base 140 in terms of a,b and c

### Questions (39)

 11 Prove that $\sin n\theta=n\sin \theta-\frac{n(n^2-1)}{3!}\sin^3\theta+\frac{n(n^2-1)(n^2-3^2)}{5!}\sin^5\theta+\cdots$ 10 Let $a_n=\cos(a_{n-1}), L=[a_1,a_2,…,a_n,…].$ Is there an $a_0$ such that $L$ is dense in$[-1,1]?$ 9 Are linear combinations of powers of a matrix unique? 7 Find a prime that divides $14^7+14^2+1$ 7 Sum of elements of a finite field

### Tags (132)

 28 calculus × 34 15 limits × 18 20 algebra-precalculus × 23 14 complex-analysis × 16 20 reference-request × 11 13 book-recommendation × 5 20 inequality × 9 12 real-analysis × 19 17 complex-numbers × 13 10 geometry × 9