\backslash - LaTeX Symbol

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\backslash

The backslash symbol (\backslash) is used as a delimiter in mathematical expressions, often representing set difference or other operations where a separation or exclusion is needed.

Examples

A \ B

Set difference, representing elements in set A that are not in set B.

A \backslash B

{x \in R ∣ x \geq 0} \ {0}

Excluding zero from the set of non-negative real numbers.

\{ x \in \mathbb{R} \mid x \geq 0 \} \backslash \{ 0 \}

Let S = {1, 2, 3, 4} and T = {3, 4}, then S \ T = {1, 2}

Example of set difference where elements 3 and 4 are removed from set S.

\text{Let } S = \{1, 2, 3, 4\} \text{ and } T = \{3, 4\}, \text{ then } S \backslash T = \{1, 2\}