Q:
# What Is a Cantor Function?

**A Cantor function, also known as the Devil's staircase, is a type of continuous and increasing function, but it is not absolutely continuous.** It's also a constant on each of the sub-intervals whose interiors produce the complement of the Cantor set.

Credit:
Kazunori Nagashima
Stone
Getty Images

The Cantor function is an illustration of a singular function and a real function that is uniformly continuous. It has several properties. It's defined everywhere within the interim, and it's increasing. It's not constant but is continuous and differentiable at set interval. The Cantor function is non-decreasing and has a limit of endpoints, and its graph defines a rectifiable curve.

Learn more about Algebra-
Q:
## What Are Some Common Uses for Vertical Line Graphs?

A: One common mathematical use for graphs of vertical lines is to determine whether or not another graph qualifies as a function. Vertical line graphs also ha... Full Answer >Filed Under: -
Q:
## What Does Domain Mean in Math?

A: Domain, in math, is defined as the set of all possible values that can be used as input values in a function. A simple mathematical function has a domain o... Full Answer >Filed Under: -
Q:
## How Do You Solve Math Functions?

A: In math, a function is a statement that contains one or more variables that can be calculated to produce one or more answers. Math functions range from the... Full Answer >Filed Under: -
Q:
## What Is a Linear Rule, and How Does One Write an Equation With It?

A: The linear rule is the idea that any point in a function falls on the same line, and writing an equation with the linear rule only requires knowledge of th... Full Answer >Filed Under: