### Questions (18)

 8 Interpretation of “not equal” notation 6 Prove sequence is not convergent in a complete metric space 4 Quotient group of $\mathbb{Z} \times \mathbb{Z}$ 4 Complex contour integral and partial fractions 4 Product of two differentials (infinitesimals)

### Reputation (791)

 +5 Liouville's theorem and holomorphic function +10 Solving $T(n)= 2T(n/2) + \sqrt{n}$ without master theorem (algebraically & recurrence tree) +5 Complex contour integral and partial fractions +10 Evaluating $\sqrt{1 + \sqrt{2 + \sqrt{4 + \sqrt{8 + \ldots}}}}$

### Answers (12)

 13 Theorems with an extraordinary exception or a small number of sporadic exceptions 7 prove that $10200300040000100004000300201$ is not perfect square 5 Solving $T(n)= 2T(n/2) + \sqrt{n}$ without master theorem (algebraically & recurrence tree) 5 Evaluating $\sqrt{1 + \sqrt{2 + \sqrt{4 + \sqrt{8 + \ldots}}}}$ 3 How can I calculate $\sin\left(10^{10^{100}} - 10\right)^\circ$?

### Tags (44)

 10 recurrence-relations × 2 5 asymptotics 9 number-theory × 2 5 algorithms 6 real-analysis × 3 5 summation 5 nested-radicals 3 elementary-number-theory × 2 5 algebra-precalculus 3 trigonometry

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