{"kind":"task","effective_mode":"full","benchmark":{"kind":"benchmark","effective_mode":"full","slug":"omni-math","formal_name":"Omni-MATH","introduction":"Omni-MATH evaluates mathematical reasoning on Olympiad-level problems. Its official dataset contains 4,428 problems accompanied by domain and difficulty information.","introduction_ja":"","introduction_en":"","category":"Category not supplied","task_count":null,"acquisition_status":"Acquisition status not supplied","official_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","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":"fb8239e9-0e27-5524-b77f-3c9e5a2ee6c9","task_key":"test--fb8239e9-0e27-5524-b77f-3c9e5a2ee6c9","task_revision_id":"1","upstream_id":"","short_description":"For a continuous and absolutely integrable complex-valued function $f(x)$ on…","config":"","split":"test","body":"{\"problem\":\"For a continuous and absolutely integrable complex-valued function $f(x)$ on $\\\\mathbb{R}$, define a function $(S f)(x)$ on $\\\\mathbb{R}$ by $(S f)(x)=\\\\int_{-\\\\infty}^{+\\\\infty} e^{2 \\\\pi \\\\mathrm{i} u x} f(u) \\\\mathrm{d} u$. Find explicit forms of $S\\\\left(\\\\frac{1}{1+x^{2}}\\\\right)$ and $S\\\\left(\\\\frac{1}{\\\\left(1+x^{2}\\\\right)^{2}}\\\\right)$.\"}","display_format":"math","language":"","answer_status":"published","assets":[],"source_url":"https://huggingface.co/datasets/KbsdJames/Omni-MATH","history":"initial import","indexing_mode":"index","subproblems":[],"grids":[]}