Vertical bar

A vertical bar is the glyph "|". It has several other names besides vertical bar, such as "pipe", "vertical slash", and "bar". In mathematics, it may be put on both sides of a real or complex number to mean its absolute value. When applied on both sides of a matrix, it means its determinant. When placed in between two numbers, it means the divisibility relation (for example. [math]\displaystyle{ a \mid b }[/math] means "a divides b").[1][2]

In mathematics, double vertical bars are also used to refer to various mathematical concepts. These include the parallel relation (as in [math]\displaystyle{ \ell_1 \parallel \ell_2 }[/math]) and the norm of a vector (as in [math]\displaystyle{ \| \mathbf{v}\| }[/math]).[1][3]

Vertical Bar Media

Related pages

References

  1. 1.0 1.1 "Comprehensive List of Algebra Symbols". Math Vault. 2020-03-25. Retrieved 2020-08-24.
  2. Weisstein, Eric W. "Single Bar". mathworld.wolfram.com. Retrieved 2020-08-24.
  3. Weisstein, Eric W. "Double Bar". mathworld.wolfram.com. Retrieved 2020-08-24.