{"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":"df96297d-b37e-5ead-91d5-2a3012e5cc9e","task_key":"olympiad--test--ae667a28~2d9659~2d4f33~2da51e~2d7a19f133e111","task_revision_id":"1","upstream_id":"ae667a28-9659-4f33-a51e-7a19f133e111","short_description":"A paramagnetic sample is subjected to magnetic cooling. Calculate \\\\(…","config":"olympiad","split":"test","body":"{\"problem\":\"A paramagnetic sample is subjected to magnetic cooling. Calculate \\\\\\\\( \\\\\\\\left(\\\\\\\\frac{\\\\\\\\partial C_H}{\\\\\\\\partial H}\\\\\\\\right)\\\\_\\\\\\\\tau \\\\\\\\) as a function of the isothermal magnetic susceptibility per unit volume \\\\\\\\( \\\\\\\\chi \\\\\\\\), the volume \\\\\\\\( V \\\\\\\\), the temperature \\\\\\\\( \\\\\\\\tau \\\\\\\\), and the magnetic \\\\\\\\( H \\\\\\\\) field, where \\\\\\\\( C_H \\\\\\\\) is the heat capacity at constant \\\\\\\\( H \\\\\\\\). Also, you may leave your answer in terms of derivatives of the susceptibility with respect to the temperature at constant magnetic field \\\\\\\\( \\\\\\\\left(\\\\\\\\frac{\\\\\\\\partial^n \\\\\\\\chi}{\\\\\\\\partial \\\\\\\\tau^n}\\\\\\\\right)\\\\_H \\\\\\\\). In this problem, we consider high temperatures and do not need to consider the quantum effects of magnetic moments or the interactions between magnetic moments.\\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":[]}