{"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":"2f600918-5a4b-5e7e-b6bd-151d7dd9223b","task_key":"olympiad--test--4225f097~2d0cee~2d4e43~2db5b9~2d6efbab4c3447","task_revision_id":"1","upstream_id":"4225f097-0cee-4e43-b5b9-6efbab4c3447","short_description":"A uniformly thick, disk-shaped permanent magnet has a uniform magnetization…","config":"olympiad","split":"test","body":"{\"problem\":\"A uniformly thick, disk-shaped permanent magnet has a uniform magnetization within its body, with the direction of magnetization perpendicular to the top of the disk. (The \\\"top\\\" is one of the two flat surfaces of the disk, not a curved side.)\\n\\nThe radius of the magnet is `\\\\(2R\\\\)`, and the thickness is `\\\\( d \\\\)`, with `\\\\(d \\\\ll R\\\\)`. The magnetic field at the center of the magnet is `\\\\(\\\\vec{B}_{0}\\\\)`. \\n\\nNow, a hole of radius `\\\\(R\\\\) and thickness \\\\( d \\\\)` is hollowed out from the center of the magnet, which means that now the leftover magnet is an annular disk of thickness `\\\\( d \\\\)`, inner radius `\\\\( R \\\\)` and outer radius `\\\\( 2R \\\\)`. After hollowing, the magnetization vector within the magnet remains unchanged. Find an equation for the magnetic field vector `\\\\(\\\\vec{B}_{1}\\\\)` at the center of the hollowed region. Express the answer in terms of `\\\\(\\\\vec{B}_{0}\\\\), \\\\( R \\\\)` `and \\\\( d \\\\).`\\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":[]}