Math  /  Geometry

QuestionEuclidean distance measure is can also defined as \qquad
Select one: a. All of them b. A stage of the KDD process in which new data is added to the existing selection. c. The distance between two points as calculated using the Pythagoras theorem d. The process of finding a solution for a problem simply by enumerating all possible solutions according to some predefined order and then testing them

Studdy Solution

STEP 1

1. The Euclidean distance measure is related to the calculation of the distance between two points in a Euclidean space.
2. The Pythagorean theorem is a fundamental principle in geometry that relates to the calculation of distances in Euclidean space.
3. The question involves selecting the correct definition of the Euclidean distance measure from the given options.

STEP 2

1. Understand the Euclidean distance measure.
2. Identify the correct definition from the given options.

STEP 3

The Euclidean distance between two points (x1,y1) (x_1, y_1) and (x2,y2) (x_2, y_2) in a 2-dimensional space is calculated using the Pythagorean theorem.
d=(x2x1)2+(y2y1)2 d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

STEP 4

Compare the given options with the definition of Euclidean distance.
Option a: "All of them" - This is unlikely to be correct as Euclidean distance has a specific definition. Option b: "A stage of the KDD process in which new data is added to the existing selection" - This is unrelated to Euclidean distance. Option c: "The distance between two points as calculated using the Pythagoras theorem" - This matches the definition of Euclidean distance. Option d: "The process of finding a solution for a problem simply by enumerating all possible solutions according to some predefined order and then testing them" - This describes a brute-force approach, not Euclidean distance.

STEP 5

Select the correct option based on the comparison.
The correct option is: c. The distance between two points as calculated using the Pythagoras theorem

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