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One-dimensional space

One-dimensional space is a geometric model of the material world in which the position of a point can be characterized by just one number [1] .

One-Dimensional Space Geometry

The only polytop existing in one-dimensional space is a segment . A hypersphere in one-dimensional space is a pair of points located at a distance from each other equal to

L=2r{\ displaystyle L = 2r}   ,

Wherer {\ displaystyle r}   Is the radius of the circle.

An example of a coordinate system in one-dimensional space is a numerical line on which points and segments are located that have only one spatial characteristic - length, or length [1] . One-dimensional space can also be considered an angle . An ordinary line on which a point with a coordinate of 0 is set as a reference point cannot be considered a one-dimensional space, although a simple line without any points can be considered as such [2]

  •  

    Number line

  •  

    Angle

Notes

  1. ↑ 1 2 Gushchin D. D. Space as a mathematical concept
  2. ↑ V.I. Eliseev. Introduction to the methods of the theory of functions of a spatial complex variable. Geometric illustration of spatial complex number.
Source - https://ru.wikipedia.org/w/index.php?title=Uniform_space&oldid=74375413


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Clever Geek | 2019