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 28 When to give up on a hard math problem? 23 integral of $x^2e^{-x^2}~dx$ from $-\infty$ to $+\infty$ 21 Fractional Calculus: Motivation and Foundations. 19 Solutions for x!/y!=(y+1)! 18 If $\sum a_n$ converges, prove $\sum a_n^3$ converges

### Reputation (8,925)

 +5 Integer solutions of $a^{(b^c)}=b^{(a^c)}=c^{(b^a)}$ +10 When to give up on a hard math problem? +3 Is the subspace $\{f \in C^{\infty}(\Omega) \;:\; \Delta^nf=0 \;, f=0 \mbox{ on } \Omega \}$ dense? +5 Is there a method that determines an unknown permutation better than $\sum_{k=1}^n (k+1)/2$ steps on average?

### Questions (32)

 17 How many different shapes can I make with this toy? 15 Continuous generalization of $\sum_{k=0}^n {n \choose k} = 2^n$? 13 Proving the irrationality of $e^n$ 9 Expected time to completely cover a square with randomly placed smaller squares 8 Feynman's Algorithm for computing a logarithm of a number in [1,2]

### Tags (163)

 113 real-analysis × 60 38 improper-integrals × 6 110 calculus × 47 35 linear-algebra × 16 82 integration × 32 35 definite-integrals × 10 71 sequences-and-series × 23 33 general-topology × 8 38 elementary-number-theory × 11 31 limits × 16

### Accounts (21)

 Mathematics 8,925 rep 21346 Personal Productivity 442 rep 515 Mathematics Educators 322 rep 29 Philosophy 156 rep 8 Academia 148 rep 8