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 126 Is there a symbol for “taking a derivative of something”? 91 Can sum of a rational number and its reciprocal be an integer? 41 Unexpected examples of natural logarithm 25 Find the probability that the thirteenth spade will appear before the thirteenth diamond? 18 An astounding identity: $\int_0^{\pi/2}\ln\lvert\sin(mx)\rvert\cdot \ln\lvert\sin(nx)\rvert\, dx$

### Reputation (23,209)

 +5 *Disjoint* Egyptian Fraction representations of $1$ +15 Average Distance Between Zeroes of $\sin(x)+\sin(x\sqrt{2})+\sin(x\sqrt{3})$ +10 why is the probability of pulling blackjack from a full deck $\frac{4\cdot 16\cdot 2}{52 \cdot 51}$? +15 A discrepancy in the proof that 561 is Carmichael number.

### Questions (196)

 203 “Integral Milking” 80 Do numbers get worse than transcendental? 60 Find three non-constant, pairwise unequal functions $f,g,h:\mathbb R\to \mathbb R$… 49 What numbers can be created by $1-x^2$ and $x/2$? 33 Painting the plane, and finding points one unit apart

### Tags (286)

 369 calculus × 82 136 number-theory × 24 213 integration × 76 130 definite-integrals × 54 204 algebra-precalculus × 42 126 notation × 3 201 sequences-and-series × 80 116 elementary-number-theory × 17 159 derivatives × 20 105 real-analysis × 42

### Accounts (16)

 Mathematics 23,209 rep 843113 Puzzling 951 rep 222 Area 51 426 rep 9 Economics 166 rep 3 Philosophy 158 rep 16