{"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":"ea49adc8-41a7-5866-8ed0-5ddc079b3201","task_key":"default--test--11484","task_revision_id":"1","upstream_id":"11484","short_description":"A frequency-modulated signal with a carrier frequency of 100MHz, is fluctuating…","config":"default","split":"test","body":"{\"category\":\"engineering\",\"options\":\"['f_m = 100Hz, \\\\\\\\Deltaf_1 = 2kHz, \\\\\\\\Deltaf_2 = 4kHz, \\\\x08eta_1 = 20, \\\\x08eta_2 = 40', 'f_m = 50Hz, \\\\\\\\Deltaf_1 = 1kHz, \\\\\\\\Deltaf_2 = 2kHz, \\\\\\\\beta_1 = 20, \\\\\\\\beta_2 = 40', 'f_m = 100Hz, \\\\\\\\Deltaf_1 = 1kHz, \\\\\\\\Deltaf_2 = 3kHz, \\\\\\\\beta_1 = 10, \\\\\\\\beta_2 = 30', 'f_m = 150Hz, \\\\\\\\Deltaf_1 = 1.5kHz, \\\\\\\\Deltaf_2 = 3kHz, \\\\\\\\beta_1 = 15, \\\\\\\\beta_2 = 30', 'f_m = 200Hz, \\\\\\\\Deltaf_1 = 1kHz, \\\\\\\\Deltaf_2 = 2kHz, \\\\x08eta_1 = 10, \\\\x08eta_2 = 20', 'f_m = 125Hz, \\\\\\\\Deltaf_1 = 2.5kHz, \\\\\\\\Deltaf_2 = 5kHz, \\\\\\\\beta_1 = 25, \\\\\\\\beta_2 = 50', 'f_m = 100Hz, \\\\\\\\Deltaf_1 = 3kHz, \\\\\\\\Deltaf_2 = 6kHz, \\\\x08eta_1 = 30, \\\\x08eta_2 = 60', 'f_m = 50Hz, \\\\\\\\Deltaf_1 = 4kHz, \\\\\\\\Deltaf_2 = 8kHz, \\\\x08eta_1 = 80, \\\\x08eta_2 = 160', 'f_m = 75Hz, \\\\\\\\Deltaf_1 = 1.5kHz, \\\\\\\\Deltaf_2 = 2kHz, \\\\\\\\beta_1 = 30, \\\\\\\\beta_2 = 40', 'f_m = 200Hz, \\\\\\\\Deltaf_1 = 0.5kHz, \\\\\\\\Deltaf_2 = 1kHz, \\\\\\\\beta_1 = 5, \\\\\\\\beta_2 = 10']\",\"question\":\"A frequency-modulated signal with a carrier frequency of 100MHz, is fluctuating at a rate of 100 times per second between the frequencies 100.001 MHz and 99.999MHz. (a) Find f_m, the modulating frequency and calculate\\\\Deltaf, frequency deviation. (b) If the frequency swing is now between the frequencies 100.002 MHz and 99.998 MHz, state if there is any effect. (c) Determine the modulation index \\\\beta in each case.\",\"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":[]}