1975ACM SIGAPL APL Quote QuadOpen access

Mathematical notation, APL and programming languages

K. W. Smillie

Open full text 1 citations

Abstract

This paper gives a few remarks on the development of mathematical notation and on some of its principal characteristics in its present form. It then gives by way of contrast the main features of APL as a notation. The birthday problem is discussed using APL as a notation, and a defined function is derived from this analysis. Finally, the conversion of functions to programs in other languages is discussed briefly, and a Fortran program for the birthday problem is given as an example.

Open-access reader

About this research paper

What this paper is about

This paper gives a few remarks on the development of mathematical notation and on some of its principal characteristics in its present form. It then gives by way of contrast the main features of APL as a notation. The birthday problem is discussed using APL as a notation, and a defined function is derived from this analysis. Finally, the conversion of functions to programs in other languages is discussed briefly, and a Fortran program for the birthday problem is given as an example.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

This paper gives a few remarks on the development of mathematical notation and on some of its principal characteristics in its present form. It then gives by way of contrast the main features of APL as a notation. The birthday problem is discussed using APL as a notation, and a defined function is derived from this analysis. Finally, the conversion of functions to programs in other languages is discussed briefly, and a Fortran program for the birthday problem is given as an example.

Key concepts: Notation, Mathematical notation, Programming language, Fortran, Computer science, Principal (computer security), Function (biology), Mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
Mathematical notation, APL and programming languages — Research Paper | ScholarLens