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lnsim

Represents a negated less-than-or-similar-to relationship in mathematical notation, combining both inequality and similarity concepts.

Overview

Serves as a specialized mathematical operator primarily used in advanced algebra, topology, and analysis where precise relationships between mathematical objects need to be denoted.

  • Common in proofs and theoretical mathematics where both order and similarity relationships need to be negated simultaneously.
  • Particularly useful in abstract algebra and set theory when describing non-relationships between elements or sets.
  • Often appears alongside other comparison operators in formal mathematical writing and academic papers.

Examples

Expressing that a variable is not asymptotically equivalent to another.

f(x)⋦g(x) as x→∞f(x) \lnsim g(x) \text{ as } x \to \infty 
f(x) \lnsim g(x) \text{ as } x \to \infty

Showing non-logarithmic similarity in a mathematical inequality.

log⁡(x+1)⋦log⁡(x−1)\log(x + 1) \lnsim \log(x - 1) 
\log(x + 1) \lnsim \log(x - 1)

Comparing growth rates of functions.

n2⋦nlog⁡nn^2 \lnsim n\log n 
n^2 \lnsim n\log n