pow:start
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pow:start [2025/11/18 00:13] mazur |
pow:start [2025/12/03 00:52] (current) mazur |
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| ====== Problem of the Week ====== | ====== Problem of the Week ====== | ||
| ~~NOTOC~~ | ~~NOTOC~~ | ||
| - | <box 85% round orange| Problem 6 (due Monday, November 17 )> | + | <box 85% round orange| > |
| - | Prove that for $\alpha\in (0,\pi/2)$ we have | + | The problem of the week will return in the Spring 26 semester. We thank everyone who participated this Fall. For the winter break, we suggest reviewing all the problems from the Fall and working on the additional problems posted at the bottom of the provided solutions. |
| - | \[ \tan(\alpha)-\tan\left(\frac{\alpha}{2}\right)+\tan\left(\frac{\alpha}{4}\right)- | + | |
| - | \tan\left(\frac{\alpha}{8}\right)+\ldots\geq \tan\left(\frac{2\alpha}{3}\right).\] | + | |
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| ===== Previous Problems and Solutions===== | ===== Previous Problems and Solutions===== | ||
| - | * [[pow:Problem6f25|Problem 6]] Solution submitted by | + | |
| + | * [[pow:Problem7f25|Problem 7]] Solved by Levi Axelrod and Matt Wolak. | ||
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| + | * [[pow:Problem6f25|Problem 6]] Solution submitted by Gerald Marchesi, Trinidad Segovia (a freshman student at Purdue University), and Mathew Wolak. | ||
| * [[pow:Problem5f25|Problem 5]] Solution submitted by Ashton Keith (Purdue University), Gerald Marchesi, and Alif Miah. | * [[pow:Problem5f25|Problem 5]] Solution submitted by Ashton Keith (Purdue University), Gerald Marchesi, and Alif Miah. | ||
pow/start.1763442835.txt · Last modified: 2025/11/18 00:13 by mazur