Omega function: Difference between revisions
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* The [[prime omega function]] <math>\Omega(n)\,\!</math>, giving the total number of prime factors of <math>n\,\!</math>, counting them with their multiplicity. |
* The [[prime omega function]] <math>\Omega(n)\,\!</math>, giving the total number of prime factors of <math>n\,\!</math>, counting them with their multiplicity. |
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* The [[Lambert W function]] <math>\Omega(x)\,\!</math>, the inverse of <math>y = x\cdot e^{x} \,\!</math>, also denoted <math>W(x)\,\!</math>. |
* The [[Lambert W function]] <math>\Omega(x)\,\!</math>, the inverse of <math>y = x\cdot e^{x} \,\!</math>, also denoted <math>W(x)\,\!</math>. |
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*[[Absolute |
* [[Absolute infinite|Absolute infinity]] |
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<math>\omega</math> (omega) may refer to: |
<math>\omega</math> (omega) may refer to: |
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* The [[Wright |
* The [[Wright omega function]] <math>\omega(x)\,\!</math>, related to the Lambert W Function |
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* The [[Pearson–Cunningham function]] <math>\omega_{m,n}(x)</math> |
* The [[Pearson–Cunningham function]] <math>\omega_{m,n}(x)</math> |
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* The [[prime omega function]] <math>\omega(n)\,\!</math>, giving the number of distinct prime factors of <math>n\,\!</math>. |
* The [[prime omega function]] <math>\omega(n)\,\!</math>, giving the number of distinct prime factors of <math>n\,\!</math>. |
Latest revision as of 06:37, 23 May 2024
In mathematics, omega function refers to a function using the Greek letter omega, written ω or Ω.
(big omega) may refer to:
- The lower bound in Big O notation, , meaning that the function dominates in some limit
- The prime omega function , giving the total number of prime factors of , counting them with their multiplicity.
- The Lambert W function , the inverse of , also denoted .
- Absolute infinity
(omega) may refer to:
- The Wright omega function , related to the Lambert W Function
- The Pearson–Cunningham function
- The prime omega function , giving the number of distinct prime factors of .