인공지능 Gemini로 어려운 수학무제 풀이Solution:The function $g(t)$ has local minima at $t=\alpha$ where $g(\alpha) We found that $g'(t) = 0$ when $t$ is an integer.The second derivative is $g''(t) = 2\cos(\pi t)$. For a local minimum, $g''(α) > 0$, which implies $\cos(\pi \alpha) > 0$, so $\alpha$ is an even integer.The value of $g(\alpha)$ for integer $\alpha$ is $g(\alpha) = \frac{4(-1)^\alpha}{\pi^2}$.For ..
