Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
product logarithm
|
| gptkbp:codomain |
complex numbers
|
| gptkbp:defines |
inverse function of f(w) = w * e^w
|
| gptkbp:domain |
complex numbers
|
| gptkbp:firstDescribed |
1772
|
| gptkbp:hasApplication |
gptkb:quantum_physics
population dynamics delay differential equations solving for unknowns in exponentials |
| gptkbp:hasBranch |
principal branch
secondary branch |
| gptkbp:hasSeriesExpansion |
Maclaurin series at x=0
|
| gptkbp:hasSpecialCase |
W(-1/e) = -1
W(0) = 0 |
| https://www.w3.org/2000/01/rdf-schema#label |
Lambert W function
|
| gptkbp:implementedIn |
gptkb:GNU_Scientific_Library
gptkb:Mathematica gptkb:Maple gptkb:Matlab gptkb:SymPy gptkb:SageMath |
| gptkbp:isMultivalued |
true
|
| gptkbp:isTranscendental |
true
|
| gptkbp:namedAfter |
gptkb:Johann_Heinrich_Lambert
|
| gptkbp:notation |
W(x)
|
| gptkbp:usedIn |
computer science
physics combinatorics solving equations involving exponentials |
| gptkbp:bfsParent |
gptkb:Lambert
gptkb:Johann_Heinrich_Lambert |
| gptkbp:bfsLayer |
6
|