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Distance Formula
Representing Points

In this lesson, you will learn three different ways to define the distance between two points:

  1. Euclidean Distance
  2. Manhattan Distance
  3. Hamming Distance

Before diving into the distance formulas, it is first important to consider how to represent points in your code.

In this exercise, we will use a list, where each item in the list represents a dimension of the point. For example, the point (5, 8) could be represented in Python like this:

pt1 = [5, 8]

Points aren’t limited to just two dimensions. For example, a five-dimensional point could be represented as [4, 8, 15, 16, 23].

Ultimately, we want to find the distance between two points. We’ll be writing functions that look like this:

distance([1, 2, 3], [5, 8, 9])

Note that we can only find the difference between two points if they have the same number of dimensions!

Instructions

1.

We’ve created a few points in script.py.

Create a new point named four_d that has four dimensions.

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