|
gptkbp:instance_of
|
gptkb:original_score
|
|
gptkbp:analyzes
|
octonionic projective space
|
|
gptkbp:are_a_generalization_of
|
real numbers
|
|
gptkbp:are_a_subject_of_research_in
|
mathematical logic
|
|
gptkbp:are_a_subset_of
|
normed division algebras
|
|
gptkbp:are_a_topic_of_interest_in
|
mathematical physics
|
|
gptkbp:are_an_extension_of
|
complex numbers
|
|
gptkbp:are_non-associative
|
gptkb:true
|
|
gptkbp:are_part_of
|
theoretical computer science
algebraic structures
|
|
gptkbp:can_be_added
|
gptkb:true
|
|
gptkbp:can_be_decomposed_into
|
real and imaginary parts
|
|
gptkbp:can_be_multiplied
|
gptkb:true
|
|
gptkbp:can_be_used_in
|
gptkb:crypt
gptkb:Artificial_Intelligence
gptkb:robotics
data analysis
|
|
gptkbp:conducts_research_on
|
algebraic topology
|
|
gptkbp:form_a_division_algebra
|
gptkb:true
|
|
gptkbp:has_applications_in
|
signal processing
|
|
gptkbp:have_a_conjugate
|
gptkb:true
|
|
gptkbp:have_a_norm
|
gptkb:true
|
|
gptkbp:have_dimension
|
8
|
|
gptkbp:have_properties_similar_to
|
complex numbers
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Cayley numbers
|
|
gptkbp:include_elements
|
1, e_1, e_2, e_3, e_4, e_5, e_6, e_7
|
|
gptkbp:is_analyzed_in
|
complex systems
dynamical systems
|
|
gptkbp:is_described_as
|
geometric transformations
symmetries
|
|
gptkbp:is_involved_in
|
gptkb:string_theory
numerical analysis
|
|
gptkbp:is_related_to
|
gptkb:Lie_groups
algebraic geometry
differential geometry
category theory
projective geometry
spinors
quaternions
|
|
gptkbp:is_represented_in
|
matrix form
multidimensional data
8-tuples
complex transformations
linear combinations of basis elements
points in 8-dimensional space
quaternionic structures
|
|
gptkbp:is_studied_for
|
gptkb:quantum_field_theory
nonlinear systems
|
|
gptkbp:is_studied_in
|
gptkb:topology
abstract algebra
combinatorial mathematics
functional analysis
|
|
gptkbp:is_used_in
|
gptkb:Mathematics
gptkb:Quantum_Mechanics
gptkb:Graphics_Processing_Unit
gptkb:Physics
gptkb:machine_learning
computer vision
|
|
gptkbp:model
|
network systems
chaotic systems
certain physical systems
|
|
gptkbp:named_after
|
gptkb:Arthur_Cayley
|
|
gptkbp:represents
|
rotations in 3 D space
|
|
gptkbp:type_of
|
octonions
|
|
gptkbp:bfsParent
|
gptkb:Cayley
|
|
gptkbp:bfsLayer
|
7
|