Properties (52)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:item
|
| gptkbp:appliesTo |
n-dimensional spaces
|
| gptkbp:hasRelatedPatent |
computer graphics
robotics geographic information systems |
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley-Menger determinant
|
| gptkbp:involves |
distances between points
|
| gptkbp:is_studied_in |
spatial data
point clouds |
| gptkbp:isA |
symmetric matrix
determinant of a specific matrix form determinant with specific properties generalization of determinants matrix determinant with applications multivariate polynomial |
| gptkbp:isDiscussedIn |
area of polygons
volumes of higher-dimensional shapes |
| gptkbp:isIntegratedWith |
coordinates of points
|
| gptkbp:isLocatedIn |
a matrix determinant
|
| gptkbp:isNamedAfter |
gptkb:Arthur_Cayley
gptkb:Menger_Karl |
| gptkbp:isRelatedTo |
algebraic geometry
geometry graph theory topology metric spaces convex hulls distance matrices distance geometry affine geometry linear_algebra linear_transformations |
| gptkbp:isUsedBy |
collinearity of points
coplanarity of points geometric properties of figures hyperplane arrangements |
| gptkbp:isUsedFor |
check if points are affinely independent
|
| gptkbp:isUsedIn |
3D modeling
data analysis machine learning statistics computer vision topological data analysis network analysis simulation studies shape analysis shape recognition computational geometry geometric modeling |
| gptkbp:isValuedFor |
n points in n-dimensional space
|
| gptkbp:standardFeatures |
Heron's_formula
|
| gptkbp:usedFor |
determining the volume of a simplex
|