TeXipedia

mathellipsis

Represents a horizontal ellipsis (three dots) specifically designed for mathematical contexts and equations.

Overview

Provides a mathematically styled horizontal ellipsis that properly aligns with other mathematical symbols and maintains consistent spacing in formulas and equations.

  • Commonly used to indicate pattern continuation in sequences, series, and matrices
  • Preferred over regular ellipsis in mathematical expressions for better spacing and alignment
  • Essential in number theory, linear algebra, and set theory when showing extended patterns
  • Maintains consistent baseline alignment with surrounding mathematical elements

Examples

Indicating a pattern continuation in a sequence of numbers

1,2,3,,n1, 2, 3, \mathellipsis, n
1, 2, 3, \mathellipsis, n

Showing omitted terms in a matrix

(a11a12a1na21a22a2n)\begin{pmatrix} a_{11} & a_{12} & \mathellipsis & a_{1n} \\ a_{21} & a_{22} & \mathellipsis & a_{2n} \end{pmatrix}
\begin{pmatrix} a_{11} & a_{12} & \mathellipsis & a_{1n} \\ a_{21} & a_{22} & \mathellipsis & a_{2n} \end{pmatrix}

Representing infinite series expansion

x+x22!+x33!+x + \frac{x^2}{2!} + \frac{x^3}{3!} + \mathellipsis
x + \frac{x^2}{2!} + \frac{x^3}{3!} + \mathellipsis