11 Matching Annotations
  1. Mar 2022
  2. Feb 2022
    1. We provide the first demonstration that a neural network solvesuniversity-level mathematics problems. Our methods combinetwo innovations: (i) recent neural networks pre-trained on textand fine-tuned on code, rather than pre-trained on text alone,and (ii) novel techniques to automatically rephrase problems soneural networks can synthesize correct executable programs.We generate programs that perfectly solve a random sampleof problems from MIT mathematics courses including Singleand Multi-variable Calculus, Differential Equations, Probabilityand Statistics, Linear Algebra, and Mathematics for ComputerScience, as well as problems in the MATH benchmark of highschool math topics. Our methods also generate new questionsthat are indistinguishable by students from course questions.Implications for higher education include new roles of AI inautomatic course evaluation and content generation.

      A neural network solves university-level mathematics problems (questions from MIT math courses).

  3. Dec 2021
  4. Nov 2021
    1. LJS 418, f. 3r, the remnants of a sewing repair with thread remaining

      In parchment manuscripts one will often see small pin prick holes in the parchment which indicates that a hole in the animal skin was repaired during processing. Usually after curing and before use the thread from the repair is removed leaving only the small holes.

      Rarely, but occasionally, the thread will still remain in the final manuscript. An example of this is LJS 418, f 3r where one can see the thread left in the page.

    2. The smudged line indicating where the quire would have been originally folded is clear in the center of the folio.

      Smudged or worn lines on manuscripts may be indicative of a manuscript having been unbound and potentially folded and possibly carried during regular use.

      LJS 418 f. 6v shows an example of this pattern though the manuscript was later bound.

    1. Francesco Sacchini recommends two notebooks inDeratione libros cum profectu legendi libellus(Wu ̈rzburg, 1614), chap. 13, p. 91: “Not unlike attentivemerchants . . . [who] keep two books, one small, the other large: the first you would calladversariaor a daybook(ephemerides),the second an account book(calendarium)and ledger(codex).”
  5. Oct 2021
  6. Aug 2021
  7. Mar 2017