free-symbols

Not Asymptotically Equal To Symbol

≄ means “not asymptotically equal to,” commonly used in mathematics and algorithm analysis.

U+2244

The symbol ≄ (U+2244) is used to state that two quantities are not asymptotically equal. You’ll often see it in math notes, proofs, and discussions of asymptotic behavior in algorithms.

Not Asymptotically Equal To Symbol Meaning

≄ stands for “not asymptotically equal to.” It is used when you want to deny an asymptotic relationship between two expressions (for example, showing that they do not grow at the same asymptotic rate in the sense intended by the surrounding context). In practice, it appears alongside other asymptotic symbols (like equals “asymptotically equal to” and comparisons) to make distinctions between growth rates or limiting approximations. The exact asymptotic definition can depend on the field or notation used in a document, but the intent of ≄ is consistently to negate an asymptotic equality claim.

Common uses

  • Writing proofs where two functions are not asymptotically equal
  • Documenting algorithm analysis when growth rates differ
  • Clarifying notation in lecture notes or textbooks on limits and complexity
  • Annotating math diagrams or comparison tables of asymptotic behavior
  • Adding precise statements in technical writing to avoid ambiguity

Examples

≄ Not Asymptotically Equal To

  • f(n) ≄ g(n) for n → ∞.
  • We have T(n) ≄ n log n under the given assumptions.
  • The expression h(x) ≄ k(x) as x grows large.
  • a_n ≄ b_n in the asymptotic sense used here.
  • Since p(t) ≄ q(t), the approximation does not match asymptotically.

Variations

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Technical codes

UnicodeU+2244
HTML Entity≄
HTML Code≄
CSS\2244

FAQ

What does the symbol ≄ mean?

≄ means “not asymptotically equal to.” It’s used to negate an asymptotic equality claim between two expressions.

What is the Unicode for ≄?

The Unicode code point is U+2244, and the HTML entity is ≄.

How can I type or copy ≄ easily?

You can copy it directly from this page, or use the escapes: CSS \\2244 or JavaScript \\u{2244}.

Is ≄ the same as “not equal to” (≠)?

No. “Not equal to” is about exact equality, while ≄ is specifically about asymptotic equality (how expressions relate for large inputs).