gvertneqq
Represents a strict greater-than relation with a vertical line and two parallel horizontal lines, used in advanced mathematical notation.
Overview
Serves as a specialized comparison operator in mathematical logic and set theory, particularly when standard inequality symbols are insufficient to express precise relationships.
- Common in formal mathematical proofs and advanced algebra
- Used to denote specific types of ordered relationships
- Often appears alongside other specialized comparison operators in advanced mathematical texts
- Particularly useful in contexts where multiple distinct types of inequalities need to be distinguished
Examples
Comparing two sequences that are strictly greater and not equal.
\{a_n\} \gvertneqq \{b_n\} \text{ for all } n \in \mathbb{N}Expressing strict inequality between two sets.
A \gvertneqq B \implies |A| > |B|Showing strict ordering in measure theory.
\mu(E_1) \gvertneqq \mu(E_2)