JavaMan
• Member for 10 years, 10 months
• Last seen more than a month ago

 108 Examples of patterns that eventually fail 64 Which of the numbers $99^{100}$ and $100^{99}$ is the larger one? 63 Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5 54 What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$? 49 How to prove that exponential grows faster than polynomial?

### Reputation (12,462)

 +10 Show that $a^n \mid b^n$ implies $a \mid b$ +20 Fourier transform is uniformly continuous +10 How to prove that exponential grows faster than polynomial? +10 Is there a formula for $(1+i)^n+(1-i)^n$?

### Questions (5)

 17 Uncountable sets of Hausdorff dimension zero 14 Irrationality of "primes coded in binary" 11 The set of rational numbers of the form p/p', where p and p' are prime, is dense in $[0, \infty)$ 6 Solving $x^2 \equiv 1 \pmod{p^{\ell}}$ 3 Sum of the eigenvalues of adjacency matrix

### Tags (144)

 229 calculus × 48 115 exponential-function × 5 188 real-analysis × 24 112 abstract-algebra × 8 164 inequality × 16 91 elementary-number-theory × 30 151 sequences-and-series × 25 77 arithmetic × 3 148 limits × 27 70 finite-fields × 2

### Bookmarks (58)

 1178 Is $\frac{\textrm{d}y}{\textrm{d}x}$ not a ratio? 923 Can I use my powers for good? [closed] 745 What's an intuitive way to think about the determinant? 663 What was the first bit of mathematics that made you realize that math is beautiful? (For children's book) [closed] 438 Proofs that every mathematician should know. [closed]