Mathematical Typography,

Abstract

The old and well-developed traditions of typesetting of mathematical symbols have become too expensive. A method needs to be devised for unambiguously specifying mathematical manuscripts in such a way that they can easily be manipulated by machines. Such languages, when properly designed, can be learned quickly by authors and their typists, yet manuscripts in this form will lead directly to high quality plates for the printer with little or no human intervention. A second step in the solution makes use of classical mathematics to design the shapes of the letters and symbols themselves. It is possible to give a rigorous definition of the exact shape of the letter 'a', for example, in such a way that infinitely many styles (bold, extended, sans-serif, italic, etc.) are obtained from a single definition by changing only a few parameters. When the same is done for the other letters and symbols, we obtain a mathematical definition of type fonts, a definition that can be used on all machines both now and in the future. The main significance of this approach is that new symbols can readily be added in such a way that they are automatically consistent with the old ones.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1978
Accession Number
ADA054143

Entities

People

  • Donald Knuth

Organizations

  • Stanford University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Computer Graphics
  • Computer Programming
  • Computer Programs
  • Computer Science
  • Computers
  • Equations
  • Fungi
  • Geometry
  • Language
  • Mathematics
  • Numbers
  • Operating Systems
  • Printing
  • Printing Equipment
  • Standards
  • Two Dimensional
  • Universities

Readers

  • Computer Programming and Software Development.
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Theoretical Analysis.