{"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":"94382d0c-7e33-574e-b19b-39181a784953","task_key":"default--test--12065","task_revision_id":"1","upstream_id":"12065","short_description":"At low velocities (laminar flow), the volume flux Q through a small-boretube is…","config":"default","split":"test","body":"{\"category\":\"engineering\",\"options\":\"['Q = (const) (μ/r^4) (dp/dx)', 'Q = (const) (r/\\\\\\\\mu) (dp/dx)', 'Q = (const) (r^3/\\\\\\\\mu) (dp/dx)', 'Q = (const) (r^5/μ^2) (dp/dx)', 'Q = (const) (r^2/\\\\\\\\mu) (dp/dx)', 'Q = (const) (r^2μ^2) (dp/dx)', 'Q = (const) (r^4/μ^2) (dp/dx)', 'Q = (const) (r^4/\\\\\\\\mu) (dp/dx)', 'Q = (const) (dp/dx)/(rμ)']\",\"question\":\"At low velocities (laminar flow), the volume flux Q through a small-boretube is a function only of the pipe radius r, the fluidviscosity \\\\mu, and the pressure drop per unit pipe length (dp/dx). Using the power-product method, rewrite the suggestedrelationship Q = f{r, \\\\mu, (dp/dx)} in dimensionless form. Table 1 DIMENSIONS OP FLUID-MECHANICS QUANTITIES Dimensions Quantity Symbol {MLT\\\\Theta} {FLT\\\\Theta} Length L L L Area A L^2 L^2 Volume U L^3 L^3 Velocity V LT^-1 LT^-1 Speed of sound a LT^-1 LT^-1 Volume flux Q L^3T^-1 L^3T^-1 Mass flux m MT^-1 FTL^-1 Pressure, stress p, \\\\sigma ML^-1T^-2 FL^-2 Strain rate \\\\epsilon T^-1 T^-1 Angle \\\\texttheta None None Angular velocity \\\\omega T^-1 T^-1 Viscosity \\\\mu ML^-1T^-1 FTL^-2 Kinematic viscosity v L^2T^-1 L^2T^-1 Surface tension \\\\gamma MT^-2 FL^-1 Force F MLT^-2 F Moment, torque M ML^2T^-2 FL Power P ML^2T^-3 FLT^-1 Density \\\\rho ML^-3 FT^2L^-4 Temperature T \\\\Theta \\\\Theta Specific heat c_p,c_v L^2T^-2 \\\\Theta^-1 L^2T^-2 \\\\Theta^-1 Thermal conductivity k MLT^-3 \\\\Theta^-1 FT^-1 \\\\Theta^-1 Expansion coefficient \\\\beta \\\\Theta^-1 \\\\Theta^-1\",\"src\":\"stemez-FluidMechanics\"}","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":[]}