TeXipedia

ntrianglerighteq

Denotes a negated triangular relation indicating 'not normal and equal to' in mathematical expressions.

Overview

Primarily used in advanced mathematics and abstract algebra to express specific relationships between mathematical objects where normal subgroup properties do not hold while maintaining equality.

  • Common in group theory when discussing non-normal subgroups
  • Appears in advanced algebra textbooks and research papers
  • Often used alongside other relational operators to express complex mathematical relationships
  • Particularly useful in proofs and theoretical mathematics where precise notation of negative relationships is essential

Examples

Expressing that a sequence is not monotonically increasing.

{an}{bn}\{a_n\} \ntrianglerighteq \{b_n\}
\{a_n\} \ntrianglerighteq \{b_n\}

Showing a relation between sets is not a partial order.

AB in generalA \ntrianglerighteq B \text{ in general}
A \ntrianglerighteq B \text{ in general}

Indicating non-dominance in optimization theory.

f(x1)f(x2)f(x_1) \ntrianglerighteq f(x_2)
f(x_1) \ntrianglerighteq f(x_2)