# Goos

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 26 Why is $2\pi i \neq 0?$ 23 Show that $e^x > 1 + x + x^2/2! + \cdots + x^k/k!$ for $n \geq 0$, $x > 0$ by induction 18 Area of a part of a square 17 Can you give me some concrete examples of magmas? 17 Bad proof or not?

# 13,222 Reputation

 +20 A proof of $1=2$ +10 combinatorial minimum number problem +10 Two dice are rolled, what is the probability that the minimum value of the two dice is $3$? +5 Generating function solution to previous question $a_{n}=a_{\lfloor n/2\rfloor}+a_{\lfloor n/3 \rfloor}+a_{\lfloor n/6\rfloor}$

# 10 Questions

 12 Generating function solution to previous question $a_{n}=a_{\lfloor n/2\rfloor}+a_{\lfloor n/3 \rfloor}+a_{\lfloor n/6\rfloor}$ 10 Define second derivative ($f''$) without using first derivative ($f'$) 9 Finding a certain basis-like subset of $\mathbb{Z}^\mathbb{Z}$ 6 Deriving the 37-percent rule for dating 5 Direct sum and direct product of infinitely many abelian groups are not isomorphic

# 198 Tags

 119 elementary-number-theory × 36 63 number-theory × 18 94 calculus × 51 57 linear-algebra × 33 92 real-analysis × 64 49 limits × 27 87 sequences-and-series × 46 48 abstract-algebra × 25 70 combinatorics × 45 43 algebra-precalculus × 23

# 44 Accounts

 Mathematics 13,222 rep 11446 Web Applications 307 rep 26 English Language & Usage 267 rep 27 Arqade 198 rep 5 Music: Practice & Theory 183 rep 6