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VIVID
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Apparently, $\sqrt{i\sqrt{id}}~$ prefers to keep an air of mystery about him.
Some of my own favorite answers in MSE (unordered):
- Let $a = \frac{1 + \sqrt{2009}}{2}$ . Find the value of $(a^3 - 503a - 500)^5$ .
- Show that the inequality $\left|\int_{0}^{1} f(x)\,dx\right| \leq \frac{1}{12}$ holds for certain initial conditions
- Find $\int_0^1 \frac{f(x)}{\sqrt{1+x^2}}dx$
- Prove that $\int_{0}^{\infty} \frac{\zeta(\pi \cdot s) - \zeta(e \cdot s)}{ \zeta(\pi \cdot s) \zeta(e \cdot s) \cdot s} = 3 + \ln(\frac{1}{\pi^3}) $
- Given $f(i, j) = f(i − 1, j − 1) + f(i, j − 1)$, find the value of $f(1009, 2019)$
- Relationship between Partial Harmonic Sum and Logarithm.
- All real numbers $(p,q)$ such that $|\sqrt{1-x^{2}}-p x-q| \leq \frac{\sqrt{2}-1}{2}$ holds for every $x \in[0,1]$
- If $A$ is an orthogonal matrix with $|A|=-1$, show that $|I-A|=0$
- How to calculate $ \left| \sin x \right| $ derivative in a more elegant way?
- How many subsets of $\{1,2,...,n\}$ do not contain three consecutive integers?
- Show that the sequence $X_n$ converges to a limit $Y$
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