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MMLU-Pro / 8216 / For the following functions, which are bounded entire functions? 1. f(x)=0; 2.…

Problem

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

question

For the following functions, which are bounded entire functions? 1. f(x)=0; 2. f(x)= 1+i; 3. f(x)=sin(x); 4. f(x)=min{|cos(x)|,1}. Here i=\sqrt{-1} and |⋅||\cdot| is the norm of a complex number. Return the numbers of the answers as a list.
Plain-text mathematical notation (without MathML)
For the following functions, which are bounded entire functions? 1. f(x)=0; 2. f(x)= 1+i; 3. f(x)=sin(x); 4. f(x)=min{|cos(x)|,1}. Here i=\sqrt{-1} and |⋅| is the norm of a complex number. Return the numbers of the answers as a list.
Original LaTeX notation
For the following functions, which are bounded entire functions? 1. f(x)=0; 2. f(x)= 1+i; 3. f(x)=sin(x); 4. f(x)=min{|cos(x)|,1}. Here i=\sqrt{-1} and $|\cdot|$ is the norm of a complex number. Return the numbers of the answers as a list.

category

math

options

  1. [1, 2]
  2. [2, 4]
  3. [3, 4]
  4. [1, 2, 3]
  5. [1, 3, 4]
  6. [1, 4]
  7. [4]
  8. [1, 3]
  9. [3]
  10. [2, 3]

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8216
task_id
8a9dfff8-5f3d-5fdf-8678-d0dd1415b1fc
task_key
default--test--8216
task_revision_id
1
config / split
default / test

Official source

initial import