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### Questions (16)

 8 Interpretation of “not equal” notation 5 Prove sequence is not convergent in a complete metric space 4 Quotient group of $\mathbb{Z} \times \mathbb{Z}$ 4 Product of two differentials (infinitesimals) 3 Complex contour integral and partial fractions

### Reputation (644)

 +10 Solving $T(n)= 2T(n/2) + \sqrt{n}$ without master theorem (algebraically & recurrence tree) +5 Ideals of a field +10 prove that $10200300040000100004000300201$ is not perfect square +10 Is Fermat's Little Theorem possible over additive group?

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

### Tags (36)

 7 recurrence-relations × 2 4 summation 7 number-theory 3 elementary-number-theory × 2 4 real-analysis × 3 3 trigonometry 4 asymptotics 3 algebra-precalculus 4 algorithms 2 group-theory × 2

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