Metadata
Mathematics Graduate Remember Easy
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Metadata

  • Subject

    Mathematics

  • Education level

    Graduate

  • Cognitive goals

    Remember

  • Difficulty estimate

    Easy

  • Tags

    functional analysis, Banach spaces, Hilbert spaces, L^p, orthonormal bases

  • Number of questions

    5

  • Created on

  • Generation source

    Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini

  • License

    CC0 Public domain

  • Prompt

    Assess students' recall of definitions and basic properties (completeness, norm, inner product) of Banach and Hilbert spaces and recognition of standard examples: ℓ^p (1≤p≤∞), L^p([0,1]), C([0,1]) with the sup norm, plus identification of orthonormal bases in L^2 (e.g., Fourier/complex exponentials).
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Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.