{"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":"ade5bfe3-859b-5ac5-b8df-3b7fb0598ffd","task_key":"default--test--12171","task_revision_id":"1","upstream_id":"12171","short_description":"Consider an example of forced convection within a pipe. The local heat transfer…","config":"default","split":"test","body":"{\"category\":\"engineering\",\"options\":\"['h_av= [{^L\\\\\\\\int_0h_x(T_s - T)dx} / 2\\\\\\\\piR^ L]', 'h_av= [{^L\\\\\\\\int_0h_x(T_s - T)dx} / (T_s -T_av)]', 'h_av= [{^L\\\\\\\\int_0h_xdx} / (T_s - T_av)]', 'h_av= [{^L\\\\\\\\int_0h_x(T_s - T)^2dx} / (T_s - T_av)]', 'h_av= [{^L\\\\\\\\int_0h_x(T_s - T)dx} / (T_s + T_av)]', 'h_av= [{^L\\\\\\\\int_0h_x(T_s - T)dx} / (T_in - T_out)]', 'h_av= [{^L\\\\\\\\int_0(h_x + T)dx} / (T_s - T_av)]', 'h_av= [{^L\\\\\\\\int_0h_x(T_s - T)dx} / {(T_s - T_in) + (T_s - T_out)}]', 'h_av= [{^L\\\\\\\\int_0h_x(T_s + T)dx} / (T_s -T_av)]', 'h_av= [{^L\\\\\\\\int_0h_x(T_s - T)dx} / L]']\",\"question\":\"Consider an example of forced convection within a pipe. The local heat transfer coefficient is valid at the point it is evaluated at, and in its immediate vicinity. When the length of pipe as a whole is of concern, the average heat transfer coefficient applies. The average temperature difference is defined as (T_s - T)_av= [{(T_s - T_in) + (T_s - T_out)} / 2] where T_s = wall surface temperature T_in = bulk fluid temperature at entrance T_out = bulk fluid temperature at exit. Derive the average heat transfer coefficienth_avin terms of the local coefficienth_x.\",\"src\":\"stemez-HeatTransfer\"}","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":[]}