Excel in math, science, and engineering

Why is \( \sqrt[3]{x^2} \) different from \(x^{2/3} \)?

I've never been the best with combinatorics, but I could always at least get by. I thought of a problem that has really sparked an interest with me, though ...

Based on the success of our recent Problem Writing Parties, I have decided to hold a supplementary Wiki Writing Challenge that will not only show off our talented writers to ...

\(\text{a)}\) Find a closed form for the following Trigonometric Products \[ \bullet \prod_{r=1}^{n-1} \sin \left(k \cdot \dfrac{r\pi}{n} \right) \] ...

\(\text{a)}\) Find a closed form for the following Trigonometric Products

\[ \bullet \prod_{r=1}^{n-1} \sin \left(k \cdot \dfrac{r\pi}{n} \right) \]

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The prince of a small kingdom travels to a neighboring land to meet with their king. After the meeting, he agrees to take one of the king's daughters' hand ...

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