{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"frontierscience","formal_name":"FrontierScience","introduction":"専門的な科学課題を解く能力を評価するベンチマークです。公開データはolympiadとresearchに分かれ、競技問題と研究課題を区別して扱います。\n\nFrontierScience evaluates the ability to solve expert-level scientific tasks. Its public data separates olympiad and research problems so that competition and research tasks can be examined independently.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/openai/frontierscience","indexing_mode":"noindex"},"task_id":"6d2846fe-9508-5d8d-8718-770580f58b4a","task_key":"olympiad--test--f9fdb988~2d7a10~2d4510~2da8ab~2dd011e663be3f","task_revision_id":"1","upstream_id":"f9fdb988-7a10-4510-a8ab-d011e663be3f","short_description":"Consider magnets located in the xz-plane, with the magnetic moments of all…","config":"olympiad","split":"test","body":"{\"problem\":\"Consider magnets located in the xz-plane, with the magnetic moments of all magnets parallel to the xy plane. It is given that the magnets (hence the magnetic moments) rotate towards the x-axis with the rotation angle `\\\\( \\\\beta \\\\)` given as `\\\\( \\\\beta(x) = kx \\\\) (as in, the angle is essentially with respect to the y-axis)`, and the surface density of the magnetic moment is uniform `\\\\( \\\\sigma \\\\)`. Calculate the magnetic field `\\\\( \\\\overrightarrow{B} \\\\)` at the point `\\\\( (x,y,z) \\\\) in space as a vector, describe your answer separately for \\\\( y > 0 \\\\) and \\\\( y < 0 \\\\)`. Express the answer in terms of the variables introduced above as well as other fundamental constants such as `\\\\( mu_0 \\\\)`.\\n\\nThink step by step and solve the problem below. At the end of your response, write your final answer on a new line starting with “FINAL ANSWER”. It should be an answer to the question such as providing a number, mathematical expression, formula, or entity name, without any extra commentary or providing multiple answer attempts.\",\"subject\":\"physics\"}","display_format":"text","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/openai/frontierscience","history":"initial import","indexing_mode":"noindex","subproblems":[],"grids":[]}