Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
gptkb:Euler's_homogeneous_function_theorem
|
| gptkbp:appliesTo |
homogeneous functions
|
| gptkbp:degree |
k
|
| gptkbp:field |
calculus
|
| gptkbp:firstPublished |
18th century
|
| https://www.w3.org/2000/01/rdf-schema#label |
Euler's theorem in calculus
|
| gptkbp:namedAfter |
gptkb:Leonhard_Euler
|
| gptkbp:relatedTo |
scaling laws
partial derivatives homogeneous function |
| gptkbp:sentence |
If f(x_1, ..., x_n) is a homogeneous function of degree k, then sum_{i=1}^n x_i (∂f/∂x_i) = k f(x_1, ..., x_n).
|
| gptkbp:usedIn |
differential calculus
economics physics thermodynamics |
| gptkbp:bfsParent |
gptkb:Euler,_Leonhard
|
| gptkbp:bfsLayer |
7
|