Final answer:
In mathematics, a purely axiomatic algorithm is sometimes termed a straight-line algorithm. It follows a series of logical steps to achieve a specific outcome.
Step-by-step explanation:
In mathematics, a purely axiomatic algorithm is sometimes termed a straight-line algorithm. An axiomatic algorithm is a method with a clear set of rules that can be applied in a straightforward and sequential manner. It follows a series of logical steps to achieve a specific outcome. For example, in geometry, the Euclidean algorithm is a straight-line algorithm used to calculate the greatest common divisor of two numbers. Another example is the binary search algorithm used in computer science to locate an item in a sorted list.