{"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":"968a2ae6-6212-5688-8aae-d7f1946df7ea","task_key":"default--test--11796","task_revision_id":"1","upstream_id":"11796","short_description":"For a steady, turbulent, constant property, two dimensional boundarylayer-type…","config":"default","split":"test","body":"{\"category\":\"engineering\",\"options\":\"['\\\\\\\\(\\\\\\\\delta= \\\\\\\\frac{(0.37x)^2}{(Re_x)^{1/5}}\\\\\\\\)', '\\\\\\\\(\\\\\\\\delta= \\\\\\\\frac{(0.37x)}{(Re_x)^{1/3}}\\\\\\\\)', '\\\\\\\\delta= {(0.37x) / (Re_x)^1^/6}', '\\\\\\\\(\\\\\\\\delta= \\\\\\\\frac{(0.47x)}{(Re_x)^{1/5}}\\\\\\\\)', '\\\\\\\\(\\\\\\\\delta= \\\\\\\\frac{(0.37x)}{Re_x}\\\\\\\\)', '\\\\\\\\(\\\\\\\\delta= \\\\\\\\frac{(0.50x)}{(Re_x)^{1/5}}\\\\\\\\)', '\\\\\\\\delta= {(0.37x) / (Re_x)^1^/5}', '\\\\\\\\delta= {(0.37x) / (Re_x)^1^/4}', '\\\\\\\\(\\\\\\\\delta= \\\\\\\\frac{(0.30x)}{(Re_x)^{1/7}}\\\\\\\\)', '\\\\\\\\delta= {(0.72x) / (Re_x)^1^/5}']\",\"question\":\"For a steady, turbulent, constant property, two dimensional boundarylayer-type flow over a flat plate at zero angle of approach, the velocity profile is given by u = v(y/\\\\delta)^1^/7(1) where v = free stream velocity \\\\delta = boundary layer thickness andthe local skin friction coefficient is given by C_f= [\\\\tau / {(1/2)\\\\rhoV^2}] = 0.045(ѵ /\\\\rhoV)^1/4(2) where \\\\tau = local shear stress \\\\rho = density of the flowing fluid ѵ = kinematic viscosity Determine the local boundary layer thickness \\\\delta, as a functionof x, by substituting the given equations into the integralform of the momentum equation.\",\"src\":\"stemez-TransportPhenomena\"}","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":[]}