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logarithm to the base of the mathematical constant e
Adnoddau allanol
dynodwr Freebase | |
dynodwr Microsoft Academic | |
dynodwr Encyclopædia Britannica Online | topic/natural-logarithmenwyd fel: natural logarithm |
dynodwr YSO | |
MathWorld ID | |
OpenMath ID | |
Australian Educational Vocabulary ID | |
Namuwiki ID | |
OpenAlex ID | |
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enghraifft o'r canlynol
math o ffwythiant mathemategol
elementary function
isddosbarth o'r canlynol
polylogarithmdilynwyd gan: Spence's function
fideo
defining formula
[4]![{\displaystyle \ln x=\sum _{k=1}^{\infty }{z^{k} \over k}=z+{z^{2} \over 2}+{z^{3} \over 3}+\cdots }](https://wikimedia.org/api/rest_v1/media/math/render/svg/d1aed2001faf4ab985240f205a986780ee1c494d)
in defining formula
![{\displaystyle \ln x}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ed172b0f5195382a3500c713941f945ad4db3898)
symbol represents: natural logarithm
![{\displaystyle \log _{a}x}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9c00152ae7a112add8460bca74d30d8ceb503d5c)
symbol represents: logarithm
definition domain
set of positive real numbers
input set
set of non-negative real numbers
codomain
set of real numbers
disgrifiwyd gan y ffynhonnell
ISO 80000-2:2019 Quantities and units — Part 2: Mathematicsenwyd fel: natural logarithm of x
adran, adnod neu baragraff: 2-13.5
maintained by WikiProject
WikiProject Mathematics
mathematical inverse
natural exponential functionrelative to: function composition
power series expansion
![{\displaystyle \ln(1+x)=\sum _{k=1}^{\infty }{\frac {(-1)^{k-1}}{k}}x^{k}=x-{\frac {x^{2}}{2}}+{\frac {x^{3}}{3}}-\cdots }](https://wikimedia.org/api/rest_v1/media/math/render/svg/94164c31269f6e8bb18d4514bc65dc9800c1b94e)
Cyfeiriadau
- ↑ Freebase Data Dumps, 28 Hydref 2013
- ↑ YSO-Wikidata mapping project, 24 Tachwedd 2021
- ↑ OpenAlex, 26 Ionawr 2022, https://docs.openalex.org/download-snapshot/snapshot-data-format
- ↑ ISO 80000-2:2019 Quantities and units — Part 2: Mathematics, 2-13.5