Expressing Mathematical Subroutines Constructively.
MASSACHUSETTS INST OF TECH CAMBRIDGE ARTIFICIAL INTELLIGENCE LAB
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The typical subroutines that compute sinx and expx bear little resemblance to our mathematical knowledge of these functions they are composed of concrete arithmetic expressions that include many mysterious numerical constants. Instead of programming these subroutines conventionally, we can express their construction using symbolic ideas such as periodicity and Taylor series. Such an approach has many advantages the code is closer the mathematical basis of the function, less vulnerable to errors, and is trivially adaptable to various precisions. Keywords Constructive programming Bessel functions.
- Computer Programming and Software
- Operations Research