.

Mathematicians expanding the boundaries of their chosen areas often find that no suitably unambiguous notation exists with which to express new concepts. First attempts usually consist in seeking out ever more exotic alphabets, but this fount is rather rapidly exhausted. Non-alphabetic symbols modeled after, or constructed from combinations of, existing ones is probably the next most profitable approach. And failure in either of those attempts may yield something truly new. In any event, the net result is proliferation of symbols beyond what is available to most ordinary typesetting systems.

The original symbol fonts, |CMSY| and |CMEX| (currently |AMSY| and |AMEX|), contain the most frequently used mathematical symbols, plus whatever else was needed for <#70#>The Art of Computer Programming<#70#>, volume 2, and other projects that Don Knuth was working on at the time. Many other symbols are in common use in other subfields of mathematics, and the AMS and MR found it necessary to construct them. We have now filled one entire ``extra symbols'' font and most of a second.

The naming scheme devised for these ``extra symbols'' fonts also leaves room for a third. ``Medium'' and ``bold'' refer to the weight, medium being matched to the weight of the ``basic'' Computer Modern symbols in the |CMSY| font.

#math30#

Following the charts of the two symbol fonts, the symbols are listed by type, corresponding to the conventions of <#72#>The TEXbook<#72#>, Appendix F. For each symbol is shown the font (1 or 2) and hex location, the symbol itself, and the symbol name. Symbol names have been assigned in accordance with Don Knuth's principles, and reviewed by him, but all responsibility for errors and misinterpretations of his comments resides with the AMS and MR staff members who worked on the font development.

=56pc

<#325#>#math31#

#displaymath4005#