precsim
Represents a mathematical relation combining precedence and similarity, indicating one element precedes and is approximately equal to another.
Overview
Serves as a specialized mathematical operator commonly found in order theory and analysis where approximate precedence relationships need to be expressed precisely.
- Often used in mathematical proofs and formal mathematical writing where both ordering and approximation need to be conveyed simultaneously.
- Appears in contexts involving asymptotic analysis and sequence comparisons.
- Particularly useful in papers and documents discussing ordered structures with approximate relationships.
Examples
Comparing asymptotic behavior of functions where one grows more slowly.
f(n) \precsim g(n) \text{ as } n \to \inftyExpressing that one sequence is asymptotically dominated by another.
\{a_n\} \precsim \{b_n\}Comparing computational complexity bounds.
T_1(n) \precsim T_2(n)