orthonormal
Perpendicular vectors, magnitude one
Orthonormal describes a set of vectors that are both orthogonal (perpendicular to each other) and normalized (each having unit length).
The concept is fundamental in linear algebra and physics, where orthonormal bases simplify calculations: The standard basis vectors i, j, and k form an orthonormal set in three-dimensional space.
Underlying support or principle
- eigenvectorDirection preserved under transformation
- Gram-SchmidtVector orthogonalization algorithm
- dot productSum of component products
- projectionSomething that extends outward
normalization · matrix · decomposition · diagonalization · eigenvalue · span · linear independence · coordinate
At right angles
- CartesianOf x-y coordinate geometry
- EuclideanFlat-space geometry type
- right angleExactly ninety degrees
- coordinate systemMethod for locating points
dimension · plane · rotation · reflection · axis · magnitude · cosine · angle
Operator-invariant quantum state
- wavefunctionQuantum state's mathematical representation
- qubitQuantum information unit
- superpositionCoexisting in multiple states
- measurementDetermining size or amount
Change completely in form
- frequencyRate of recurrence
- waveletSmall oscillation on surface
- spectral analysisWavelength-based substance identification
- filteringSelective passage of elements
decomposition · encoding · sampling · harmonic · compression · bandwidth · reconstruction
basis
Underlying support or principle
- eigenvectorDirection preserved under transformation
- Gram-SchmidtVector orthogonalization algorithm
- dot productSum of component products
projection · normalization · matrix · decomposition · diagonalization · eigenvalue · span · linear independence · coordinate · transformation
perpendicular
At right angles
- CartesianOf x-y coordinate geometry
- EuclideanFlat-space geometry type
- right angleExactly ninety degrees
coordinate system · dimension · plane · rotation · reflection · axis · magnitude · cosine · angle · spatial
eigenstate
Operator-invariant quantum state
- wavefunctionQuantum state's mathematical representation
- qubitQuantum information unit
- superpositionCoexisting in multiple states
transform
Change completely in form
- frequencyRate of recurrence
- waveletSmall oscillation on surface
- spectral analysisWavelength-based substance identification
filtering · decomposition · encoding · sampling · harmonic · compression · bandwidth · reconstruction
orthonormalskewed
Asymmetrically shifted
oblique · collinear · scaled · degenerate · parallel
orthonormalparallel
Equidistant at all points
collinear · coplanar · aligned · coincident · dependent
orthonormalirregular
Deviating from normal patterns
distorted · warped · anisotropic · non-uniform · asymmetric
normal, abnormal, normality, orthography, orthodontist, orthogonal