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Landau
Symbols
Title: |
Landau Symbols |
Author:
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Manuel Eberl
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Submission date: |
2015-07-14 |
Abstract: |
This entry provides Landau symbols to describe and reason about the asymptotic growth of functions for sufficiently large inputs. A number of simplification procedures are provided for additional convenience: cancelling of dominated terms in sums under a Landau symbol, cancelling of common factors in products, and a decision procedure for Landau expressions containing products of powers of functions like x, ln(x), ln(ln(x)) etc. |
BibTeX: |
@article{Landau_Symbols-AFP,
author = {Manuel Eberl},
title = {Landau Symbols},
journal = {Archive of Formal Proofs},
month = jul,
year = 2015,
note = {\url{https://isa-afp.org/entries/Landau_Symbols.html},
Formal proof development},
ISSN = {2150-914x},
}
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License: |
BSD License |
Used by: |
Akra_Bazzi, Catalan_Numbers, Comparison_Sort_Lower_Bound, CryptHOL, Dirichlet_L, Dirichlet_Series, Error_Function, Euler_MacLaurin, Quick_Sort_Cost, Random_BSTs, Stirling_Formula |
Status: [ok] |
This is a development version of this entry. It might change over time
and is not stable. Please refer to release versions for citations.
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