Definition
orthogonalities
noun
- The plural of orthogonality; instances or properties of being orthogonal (perpendicular or independent).
Usage: Primarily used in mathematics, physics, and engineering contexts.; Often refers to the quality of vectors, functions, or coordinate systems being at right angles or mutually independent.
Examples
- The orthogonalities of the basis vectors ensure that the coordinate system is well-defined.
- In quantum mechanics, the orthogonalities of wave functions are fundamental to the theory.
- The engineer verified the orthogonalities of the structural beams to ensure stability.
- Orthogonalities between different signal components allow for efficient data transmission.
- The mathematical proof relies on the orthogonalities of the eigenvectors.