\fallingdotseq - LaTeX Symbol

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≒

\fallingdotseq

The \fallingdotseq symbol is used to denote an asymptotic equivalence relation, often used in mathematical analysis to indicate that two functions or sequences have the same asymptotic behavior.

Examples

f (n) ≒ g (n)

Indicates that f(n) and g(n) are asymptotically equivalent as n approaches infinity.

f(n) \fallingdotseq g(n)

a_{n} ≒ b_{n}

Shows that the sequence a_n is asymptotically equivalent to the sequence b_n.

a_n \fallingdotseq b_n

h (x) ≒ k (x)

Represents that the functions h(x) and k(x) have the same asymptotic behavior as x approaches a certain value.

h(x) \fallingdotseq k(x)