orthogonality Synonyms
No Synonyms and anytonyms found
orthogonality Meaning
Wordnet
orthogonality (n)
the relation of opposition between things at right angles
the quality of lying or intersecting at right angles
orthogonality Sentence Examples
- The orthogonality of the basis vectors ensures the uniqueness of the coordinate representation of a vector.
- The principle of orthogonality in Fourier analysis allows for the decomposition of complex signals into simpler components.
- In linear algebra, orthogonal matrices preserve the orthogonality of vectors under transformation.
- The orthogonality condition between eigenvectors of Hermitian operators is crucial for quantum mechanics.
- Gram-Schmidt orthogonalization procedure generates an orthogonal set of vectors from a given non-orthogonal set.
- Orthogonal designs in statistics are used to ensure the independence of observations and minimize bias.
- The orthogonality of spherical harmonics simplifies the solution of Laplace's equation in spherical coordinates.
- Orthogonal transformations in geometry maintain the right angles between intersecting lines or planes.
- The orthogonality principle is applied in signal processing to extract desired components from noisy data.
- Orthogonal regression models are used to fit data with independent variables that are not linearly related.
FAQs About the word orthogonality
the relation of opposition between things at right angles, the quality of lying or intersecting at right angles
No synonyms found.
No antonyms found.
The orthogonality of the basis vectors ensures the uniqueness of the coordinate representation of a vector.
The principle of orthogonality in Fourier analysis allows for the decomposition of complex signals into simpler components.
In linear algebra, orthogonal matrices preserve the orthogonality of vectors under transformation.
The orthogonality condition between eigenvectors of Hermitian operators is crucial for quantum mechanics.
