Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
elastica
|
| gptkbp:application |
computer graphics
mechanics robotics structural engineering biomechanics |
| gptkbp:describes |
shape of an elastic rod under bending
|
| gptkbp:differential |
fourth-order nonlinear ODE
|
| gptkbp:energyFunctional |
integral of the square of curvature
|
| gptkbp:governedBy |
Euler's elastica equation
|
| gptkbp:hasSpecialCase |
gptkb:butter
straight line figure-eight shape |
| https://www.w3.org/2000/01/rdf-schema#label |
The Curve of Least Energy
|
| gptkbp:reduces |
bending energy
|
| gptkbp:relatedTo |
gptkb:Euler-Bernoulli_beam_theory
|
| gptkbp:solvedBy |
space curve
planar curve |
| gptkbp:studiedBy |
gptkb:Leonhard_Euler
|
| gptkbp:studiedIn |
calculus of variations
|
| gptkbp:bfsParent |
gptkb:Berthold_K._P._Horn
|
| gptkbp:bfsLayer |
7
|