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Let \(x, y,\) and \(z\) be real numbers satisfying \(\dfrac{x}{y+z}+\dfrac{y}{z+x}+\dfrac{z}{x+y}=1.\)

Find the maximum value of ...

The city of Oneway has a \( 3 \times 5 \) park, and a \( 513 \times 1025 \) grassland that they own.

To make it easier to run search and rescue, they want ...

How to prove the following using the inference rules of propositional logic?

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\[ \large \int_0^\infty \left ( \frac x{\lceil x \rceil} - \frac {\lfloor x \rfloor}x \right) \, dx \]

Given that the integral above can be expressed as ...

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