Question

What does “each point of a line maps to itself” mean? I don’t understand it what it means for it to map to itself.

Answer 1

In mathematics, when a point on a line maps to itself, it means that the point remains unchanged under the mapping.

Step-by-step explanation:

In mathematics, the concept of mapping refers to the relationship between two sets of points. When a point on a line maps to itself, it means that the point remains unchanged under the mapping. In other words, the input and output of the mapping are the same point.

For example, consider a line segment from point A to point B. If we map each point on this line segment to itself, it means that no matter which point on the line segment we choose, the mapping will leave that point unchanged.

This concept is important in various branches of mathematics, such as algebra and geometry, where we study different types of mappings and their properties.

Answer 2

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.