{"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":"93a26f5e-9e82-584a-b154-f75e9e26f99a","task_key":"default--test--11343","task_revision_id":"1","upstream_id":"11343","short_description":"Apreemphasiscircuit of transfer function \\vertHp(f)\\vert^2 = k^2f^2 is used in…","config":"default","split":"test","body":"{\"category\":\"engineering\",\"options\":\"['k^2 \\\\\\\\geq [{\\\\\\\\pi} / {f_1(2f_m - \\\\\\\\pif_1)}]', 'k^2 \\\\\\\\leq [{\\\\\\\\pi} / {2f_1(2f_m + \\\\\\\\pif_1)}]', 'k^2 \\\\\\\\leq [{2\\\\\\\\pi} / {(f_1 + f_m)(2f_m)}]', 'k^2 \\\\\\\\leq [{\\\\\\\\pi} / {f_1(2f_m)}]', 'k^2 \\\\\\\\leq [{4\\\\\\\\pi} / {f_1(2f_m)}]', 'k^2 \\\\\\\\leq [{\\\\\\\\pi} / {(f_1 + f_m)(2f_m - \\\\\\\\pif_1)}]', 'k^2 \\\\\\\\leq [{\\\\\\\\pi} / {f_1(f_m - \\\\\\\\pif_1)}]', 'k^2 \\\\\\\\leq [{2\\\\\\\\pi} / {f_1(2f_m - \\\\\\\\pif_1)}]', 'k^2 \\\\\\\\leq [{\\\\\\\\pi} / {f_1(2f_m - \\\\\\\\pif_1)}]', 'k^2 \\\\\\\\leq [{\\\\\\\\pi} / {f_1(2f_m + \\\\\\\\pif_1)}]']\",\"question\":\"Apreemphasiscircuit of transfer function \\\\vertHp(f)\\\\vert^2 = k^2f^2 is used in an FM system, with the modulating signal having spectral density of G(f) = [{G_o} / {1 + (f / f_1)^2}] where f_1 << f_m. Determine a suitable value of k^2 such thatpreemphasisdoes not affect the bandwidth of the channel.\",\"src\":\"stemez-ElectronicCommunications\"}","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":[]}