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 91 What is the accepted syntax for a negative number with an exponent? 69 Are all “numbers” just one unit value transformed by a function? 38 Show that $e^x > 1 + x + x^2/2! + \cdots + x^k/k!$ for $n \geq 0$, $x > 0$ by induction 34 Painting the plane, and finding points one unit apart 34 Is this a new method for finding powers?

### Reputation (37,178)

 +10 Limit of the absolute value of a function +10 Difference between multiplication, dot product, and cross product symbols +10 Prove $\cos(n)$ does not converge as $n$ tends to infinity +10 sequence of complex polynomials $p_n$ s.t. $p_n(0) = 1$ for every $n \in \mathbb{N}$ and $p_n(z) \to 0$ for each $\mathbb{C}-\{0\}$?

### Questions (43)

 38 Generating function solution to previous question $a_{n}=a_{\lfloor n/2\rfloor}+a_{\lfloor n/3 \rfloor}+a_{\lfloor n/6\rfloor}$ 19 What function satisfies $F'(x) = F(2x)$? 18 A generalization of arithmetic and geometric means using elementary symmetric polynomials 15 Riemann zeta function Euler product for primes equivalent to $3$ mod $4$ 12 Why 6 races are not sufficient in the 25 horses, 5 tracks problem

### Tags (334)

 430 elementary-number-theory × 110 176 abstract-algebra × 68 254 real-analysis × 119 149 linear-algebra × 61 205 combinatorics × 101 145 exponentiation × 10 191 calculus × 88 136 arithmetic × 14 189 sequences-and-series × 76 132 number-theory × 35

### Accounts (73)

 Mathematics 37,178 rep 753127 Physics 1,113 rep 2810 Computer Science 947 rep 417 Web Applications 688 rep 511 Puzzling 566 rep 313