Statements (22)
Predicate | Object |
---|---|
gptkbp:instance_of |
gptkb:Mathematics
|
gptkbp:application |
gptkb:computer_science
physics engineering combinatorics |
gptkbp:branch |
multiple branches
|
gptkbp:first_introduced |
gptkb:Johann_Heinrich_Lambert
|
gptkbp:graph_characteristics |
has vertical asymptote at x = -1/e
increasing function for x >= -1/e |
gptkbp:has_inverse |
not applicable
|
gptkbp:has_website |
complex numbers
|
https://www.w3.org/2000/01/rdf-schema#label |
Lambert W function
|
gptkbp:is_defined_by |
W(x) such that W(x)e^(W(x)) = x
|
gptkbp:known_as |
product logarithm
|
gptkbp:notable_traits |
W(-1/e) = -1
W(0) = 0 |
gptkbp:range |
complex numbers
|
gptkbp:related_to |
exponential function
|
gptkbp:special_values |
W(1) = 0.56714329...
|
gptkbp:used_in |
solving equations involving exponentials
|
gptkbp:bfsParent |
gptkb:Johann_Heinrich_Lambert
|
gptkbp:bfsLayer |
5
|