Properties (63)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
mathematical space
|
| gptkbp:associated_with |
orthonormal_bases
|
| gptkbp:can_be |
true
|
| gptkbp:has_partnerships_with |
the norm induced by the inner product
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert space
|
| gptkbp:is_a |
true
inner product space |
| gptkbp:is_a_place_for |
true
|
| gptkbp:is_a_subject_of |
theoretical physics
physics mathematics applied mathematics |
| gptkbp:is_characterized_by |
the triangle inequality
the Cauchy-Schwarz inequality |
| gptkbp:is_equipped_with |
an inner product
|
| gptkbp:is_used_in |
gptkb:quantum_cryptography
gptkb:quantum_computing gptkb:quantum_teleportation cryptography image processing telecommunications data analysis machine learning statistics theoretical computer science audio processing information theory machine learning algorithms neural networks video processing data science finite element methods signal processing optimization problems differential equations data compression functional analysis numerical analysis control theory stochastic processes pattern recognition error correction codes finite difference methods signal detection signal representation image reconstruction wavelet analysis operators in quantum mechanics quantum_entanglement quantum_information_theory quantum_mechanics quantum_algorithms quantum_simulations quantum_state_tomography quantum_error_correction quantum_states |
| gptkbp:previousName |
gptkb:David_Hilbert
|
| gptkbp:related_to |
Fourier transforms
Fourier series functional spaces linear operators spectral theory |
| gptkbp:standardFeatures |
gptkb:Euclidean_space
|