TeXipedia

succnsim

Represents a negated succeeds or similar to relationship between mathematical expressions, combining the concepts of succession and similarity.

Overview

Serves as a specialized mathematical relation symbol primarily used in advanced mathematical notation and formal proofs.

  • Common in order theory and abstract algebra for denoting non-relationships between elements
  • Useful when expressing complex mathematical statements where both succession and similarity need to be negated simultaneously
  • Often appears in academic papers and advanced mathematical texts where precise relationship notation is crucial
  • Particularly relevant in contexts involving partial orders, sequence relationships, and set theory

Examples

Expressing that sequence A does not approach sequence B in a monotonically increasing way.

An⋩Bnfor n→∞A_n \succnsim B_n \quad \text{for } n \to \infty 
A_n \succnsim B_n \quad \text{for } n \to \infty

Denoting that one function does not dominate another asymptotically with respect to growth rate.

f(x)⋩g(x)as x→∞f(x) \succnsim g(x) \quad \text{as } x \to \infty 
f(x) \succnsim g(x) \quad \text{as } x \to \infty