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MMLU-Pro / 8736 / Denote m(…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Denote m(\cdot) to be Lebesgue measure. Given a point set E. Suppose for any closed set F and open set G with F \subset E \subset G, it holds $\sup _F {m(F)}<\inf _G {m(G)}$. Is set E Lebesgue measurable? Answer 1 for yes and 0 for no. Return the number
Plain-text mathematical notation (without MathML)
Denote m(\cdot) to be Lebesgue measure. Given a point set E. Suppose for any closed set F and open set G with F \subset E \subset G, it holds $\sup _F {m(F)}<\inf _G {m(G)}$. Is set E Lebesgue measurable? Answer 1 for yes and 0 for no. Return the number
Original LaTeX notation
Denote m(\cdot) to be Lebesgue measure. Given a point set E. Suppose for any closed set F and open set G with F \subset E \subset G, it holds $\sup _F {m(F)}<\inf _G {m(G)}$. Is set E Lebesgue measurable? Answer 1 for yes and 0 for no. Return the number

category

math

options

  1. -1.0
  2. 2.5
  3. 4.0
  4. 3.5
  5. 3.0
  6. 1.5
  7. 0.5
  8. 2.0
  9. 1.0
  10. 0.0

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8736
task_id
ae532f33-115c-5a20-b834-377cc07ca903
task_key
default--test--8736
task_revision_id
1
config / split
default / test

Official source

initial import