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Maximize sum of ceiling functions
I need to find the maximum of a sum of ceiling functions. The following are given
$$N,C\in\mathbb{Z}\text{ with }0\leq N\text{ and }1\leq C$$
$$\frac{p}{q}\in\mathbb{Q}\text{ with }p,q \text{ coprime ...
- 87
2
votes
0
answers
268
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Partition minimizing maximum of Euler's totient function across terms
Given natural numbers $M$ and $N$, I'd like to find a partition of $2^N$ with $M$ or fewer terms, $t_1 + t_2 + ... + t_M$, such that $\max(\phi(t_1), \phi(t_2), ..., \phi(t_M))$ is minimized, where $\...
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