{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"mmlu-pro","formal_name":"MMLU-Pro","introduction":"MMLU-Pro rebuilds MMLU with ten answer options instead of four and removes items that no longer separate models. Questions span fourteen academic and professional subjects.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","indexing_mode":"index","profile":{"resources":[],"task_format":"","scoring":"","metric":"","size":"","answer_access":"","license":"","citation":"","maintainer":"","released":"","why_hard":"","related":[],"history":"","construction":"","limitations":"","saturation":"","scores":[]}},"task_id":"6ab92c62-4291-5911-94e3-4090ca011a9c","task_key":"default--test--10539","task_revision_id":"1","upstream_id":"10539","short_description":"Consider a periodic signal $x(t)$ with period $(T)$ equals to ten. Over one…","config":"default","split":"test","body":"{\"category\":\"computer science\",\"options\":\"['1', '3', '2', '-3', '0', '-1', '0.5', '1.5', '-0.5', '-2']\",\"question\":\"Consider a periodic signal $x(t)$ with period $(T)$ equals to ten. Over one period (i.e., $-5 \\\\leq t<5)$, it is defined as $$ x(t)=\\\\left\\\\{\\\\begin{array}{cc} 2 & -5 \\\\leq t<0 \\\\\\\\ -2 & 0 \\\\leq t<5 \\\\end{array}\\\\right. $$ In Fourier series, the signal $x(t)$ is written in the form of $$ x(t)=\\\\sum_{k=-\\\\infty}^{\\\\infty} c_k e^{\\\\frac{j 2 \\\\pi k t}{T}} $$ where the Fourier series coefficient $c_k$ is obtained as, $$ c_k=\\\\frac{1}{T} \\\\int_{-\\\\frac{T}{2}}^{\\\\frac{T}{2}} x(t) e^{-\\\\frac{j 2 \\\\pi k t}{T}} d t $$ Determine the value of $c_0$ (i.e., $\\\\left.k=0\\\\right)$\",\"src\":\"theoremQA-EECS\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/TIGER-Lab/MMLU-Pro","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}