gtrsim

Represents a greater-than-or-approximately-equal relationship between mathematical expressions, combining the concepts of inequality and approximation.

Overview

Commonly used in mathematical proofs, physics, and scientific writing where precise inequalities need to be expressed with some degree of approximation or uncertainty.

Frequently appears in asymptotic analysis and numerical approximations
Used when expressing bounds or estimates that are approximately greater than a value
Popular in theoretical computer science for complexity analysis
Helpful in statistical comparisons where exact values aren't necessary or available

Examples

Comparing asymptotic growth rates in computational complexity analysis.

f(n) \gtrsim n^2

f(n) \gtrsim n^2

Expressing approximate inequalities in physics equations.

E \gtrsim mc^2 + \frac{p^2}{2m}

E \gtrsim mc^2 + \frac{p^2}{2m}

Indicating statistical significance thresholds.

p\text{-value} \gtrsim 0.05

p\text{-value} \gtrsim 0.05