precnapprox
Represents a negated relation combining precedence and approximate equality in mathematical notation.
Overview
Serves as a specialized mathematical operator combining the concepts of precedence and approximation with negation, primarily used in advanced mathematical proofs and formal logic.
- Common in order theory and abstract algebra when discussing non-approximate precedence relationships
- Useful for expressing complex mathematical statements where both ordering and approximation need to be precisely negated
- Particularly relevant in theoretical computer science and mathematical logic when formal notations require explicit negation of combined relations
Examples
Showing that sequence A is not approximately precedes sequence B in a convergence analysis.
\{a_n\} \precnapprox \{b_n\}Demonstrating non-approximate precedence between two functions in asymptotic analysis.
f(x) \precnapprox g(x) \text{ as } x \to \infty