Often, we come across functions that we do not know how to evaluate without having qualitative knowledge of the input value. For example, , 1 , and .
For example, how do we compute without knowing beforehand what and are, using only a basic calculator2?
This question, along with many others, will be answered in this short course.
stands for maximum. will always return the larger value out of and . Similarly, (minimum) returns the smaller of and .↩
For the purpose of this course, we will assume our calculator to have the following capabilities:
- Addition, Subtraction, Multiplication, and Division
- including square roots
- Floor and Ceiling
These basic capabiities will enable us to construct other, more complex capabilities.↩