/sci/ - Science & Math

>https://vocaroo.com/jyhpiI6CGnp
Consider dubbing the daily putnam problems?

>>11112765
way too many links

>>11043915

[math]
\text{Let }f(t)=\sum_{j=1}^N a_j \sin(2\pi jt)\text{, where each }a_j\text{ is real and }a_N\text{ is not equal to 0.}
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\text{Let }N_k\text{ denote the number of zeroes (including multiplicities) of } \displaystyle \frac{d^k f}{dt^k}\text{. Prove}
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\text{that}
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\qquad \qquad \qquad \qquad \displaystyle N_0\leq N_1\leq N_2\leq \cdots \mbox{ and } \lim_{k\to\infty} N_k = 2N.
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\text{[Editorial clarification: only zeroes in }[0, 1)\text{ should be counted.]}
[/math]