Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appearsIn |
gptkb:Manifold_theory
Vector calculus |
| gptkbp:definedIn |
Differentiable surface
|
| gptkbp:dimensions |
2
|
| gptkbp:form |
z = f(x_0, y_0) + f_x(x_0, y_0)(x-x_0) + f_y(x_0, y_0)(y-y_0)
|
| gptkbp:generalizes |
Tangent line
|
| gptkbp:hasNormalVector |
Gradient of surface at point
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tangent plane
|
| gptkbp:property |
Locally approximates surface
Touches surface at a single point |
| gptkbp:relatedTo |
gptkb:Differential_geometry
surface Tangent line |
| gptkbp:usedIn |
gptkb:Physics
gptkb:geometry gptkb:Calculus Multivariable calculus |
| gptkbp:bfsParent |
gptkb:Supporting_hyperplane
|
| gptkbp:bfsLayer |
8
|