Statements (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
metric
|
| gptkbp:certifications |
gptkb:Cauchy-Schwarz_inequality
|
| gptkbp:hasSustainabilityInitiatives |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hermitian metric
|
| gptkbp:is_studied_in |
stability of systems
|
| gptkbp:isA |
generalization_of_Euclidean_metric
|
| gptkbp:isAssociatedWith |
gptkb:Hermitian_operators
|
| gptkbp:isAvenueFor |
differential geometry
computer graphics signal processing |
| gptkbp:isCharacterizedBy |
complex conjugate symmetry
non-negative eigenvalues |
| gptkbp:isCitedBy |
a bilinear form
|
| gptkbp:isConnectedTo |
Lie groups
functional analysis Hilbert_spaces |
| gptkbp:isDescribedAs |
complex vector spaces
|
| gptkbp:isFoundIn |
mathematical physics
|
| gptkbp:isImportantFor |
the study of differential equations
the study of symplectic geometry quantum_state_representation |
| gptkbp:isIntegratedWith |
matrix representation
|
| gptkbp:isInvolvedIn |
optimization problems
geometric analysis the study of manifolds |
| gptkbp:isLocatedIn |
terms of complex coordinates
a quadratic form g(x,y) = <x,y> for vectors x and y g(x,y) = x^*y |
| gptkbp:isPartOf |
mathematical physics
theoretical mathematics linear_algebra |
| gptkbp:isRelatedTo |
inner product
complex analysis Kähler metrics complex geometry spectral theory the study of eigenvalues the study of complex manifolds quantum_field_theory Riemannian_metric |
| gptkbp:isSymbolicOf |
true
|
| gptkbp:isUsedBy |
gptkb:Fubini-Study_metric
angles and lengths in complex spaces |
| gptkbp:isUsedIn |
machine learning
statistical mechanics control theory quantum_mechanics |
| gptkbp:isUtilizedFor |
gptkb:quantum_computing
|
| gptkbp:isUtilizedIn |
theoretical physics
data science numerical analysis |
| gptkbp:keyIssues |
understanding complex structures
understanding wave functions |