Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:TV_series
|
| gptkbp:bfsLayer |
4
|
| gptkbp:bfsParent |
gptkb:Pi
gptkb:Leonhard_Euler |
| gptkbp:connects |
trigonometric functions
exponential functions |
| gptkbp:consequences |
the properties of exponential functions
|
| gptkbp:emphasizes |
e^(iπ) + 1 = 0
|
| gptkbp:example |
a relationship between different mathematical constants
|
| gptkbp:exhibited_at |
the beauty of mathematics
|
| gptkbp:has_programs |
physics
engineering signal processing |
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's identity
|
| gptkbp:is |
e^(iπ) + 1 = 0
a special case of Euler's formula eiπ + 1 = 0 |
| gptkbp:is_cited_in |
mathematical literature
|
| gptkbp:is_considered |
a beautiful equation
|
| gptkbp:is_fundamental_to |
gptkb:Mathematician
|
| gptkbp:is_involved_in |
gptkb:Euler's_formula
the more general identity e^(ix) = cos(x) + i sin(x) |
| gptkbp:is_often_associated_with |
the most beautiful theorem
|
| gptkbp:is_related_to |
gptkb:Complex_analysis
the unit circle |
| gptkbp:is_represented_in |
terms of complex numbers
|
| gptkbp:is_used_in |
complex analysis
|
| gptkbp:key |
the field of mathematics
|
| gptkbp:named_after |
gptkb:Leonhard_Euler
|
| gptkbp:related_to |
i
π e |
| gptkbp:resulted_in |
substituting x = π in Euler's formula
|
| gptkbp:training |
calculus courses
|