Dimension

 Dimension is a concept that indicates the extent to which a space or shape expands, and is mainly used in mathematics and physics. In everyday life, it is also used to express differences in levels or perspectives, as in “dimensions are different”

 

 1. Mathematical dimension

 

 • Definition: It refers to the number of independent numbers (the number of coordinate axes) required to specify the location of a point in a space.

 

• Examples:

·  0th dimension: point (only location)

·  1st dimension: line (only length, e.g. point on a straight line)

·  2nd dimension: surface (length and width, e.g. point on a plane)

·  3rd dimension: solid (length, width, height, e.g. space we live in)

·  4th dimension or more: concept that adds time or additional space axis

·  “Dimension is a concept that indicates the extent to which space or a shape is expanded.”

 

2. Physical dimension

 

 • Definition: Physical property that serves as a standard for distinguishing types of physical quantities (e.g. length, time, mass, etc.)

 

 • Examples:

·  Dimension of length: m (meter)

·  Dimension of time: s (second)

·  Dimension of velocity: m/s (length/time)

·  Dimension of acceleration: m/s² (speed/time)

·  Dimensional interpretation: a method of combining units of physical quantities to create new physical concepts.

 

3. Everyday meaning

 • Level: Used to express the difference in the level of thoughts, actions, or objects, as in the expression “dimensions are different”.

      

 4. Expansion of dimensions

 • 3-dimensional world: The space we live in has three dimensions (length, width, height).

 • 4-dimensional: It is also expanded to the concept of 4-dimensional space-time (such as the theory of relativity) by adding a time axis.

 • Higher dimensions: In mathematics and physics, higher dimensions such as 5-dimensional and 10-dimensional are theoretically discussed.

 • The concept of dimensions is used in various fields such as mathematics, physics, and daily life.

 • The expression “dimensions are different” can mean not only the dimensions of actual space, but also differences in thoughts or levels.