Mathematical notation, APL and programming languages
K. W. Smillie
Abstract
Open-access reader
K. W. Smillie
Abstract
Open-access reader
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.
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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