TeXipedia

nshortmid

Represents a negated short vertical bar relation symbol used in mathematical notation to indicate a specific type of non-relationship between elements.

Overview

Serves as a specialized mathematical relation symbol primarily used in advanced mathematical proofs and formal logic to denote negated relationships.

  • Common in abstract algebra and set theory for expressing non-relationships between elements
  • Often appears alongside other relation symbols in formal mathematical writing
  • Particularly useful in contexts where standard-length negated mid symbols are too visually dominant
  • Provides a more compact alternative to the regular negated mid symbol

Examples

Showing that two events A and B are not conditionally independent in probability theory.

P(AB)P(A)P(A|B) \nshortmid P(A)
P(A|B) \nshortmid P(A)

Expressing non-independence between random variables X and Y in statistics.

XYX \nshortmid Y
X \nshortmid Y

Denoting that two algebraic elements are not relatively prime.

aba \nshortmid b
a \nshortmid b