TeXipedia

dotsb

Represents a horizontal ellipsis (dots) specifically designed for use between binary operators in mathematical expressions.

Overview

Provides professionally typeset dots for mathematical sequences, particularly when elements are separated by binary operators like addition or multiplication. Unlike basic dots, this command automatically adjusts spacing to match mathematical context.

  • Commonly used in summations and products with variable-length sequences
  • Preferred over \dots when connecting terms with binary operators
  • Part of the AMS-LaTeX suite of intelligent dot commands
  • Ensures consistent spacing and alignment in mathematical expressions

Examples

Indicating addition of consecutive terms in a sequence.

x1+⋯+xnx_1 + \dotsb + x_n 
x_1 + \dotsb + x_n

Showing multiplication of consecutive terms with binary operators.

a1×⋯×ana_1 \times \dotsb \times a_n 
a_1 \times \dotsb \times a_n

Representing a chain of inequalities.

x1<⋯<xnx_1 < \dotsb < x_n 
x_1 < \dotsb < x_n