The shortest vector corresponds to maximum uncertainty, the longest to maximum certainty.

Closely related to motion estimation is optical flow, where the vectors correspond to the perceived movement of pixels.

Therefore the above vector of complex numbers corresponds to the quaternion a + bi + cj + dk.

While very efficient basis vectors, the vectors themselves are completely artificial and do not correspond to actual profiles.

Therefore any vector corresponds to the function such that , and any componentwise operation on vectors is the pointwise operation on functions corresponding to those vectors.

With this convention, real vectors correspond to Hermitian matrices.

The abstract vectors of quantum theory correspond to the wavefunction (traditionally denoted by w) of Schrödinger's wave mechanics.

These 27 vectors correspond to the vertices of the Schläfli graph; two vertices are adjacent if and only if the corresponding two vectors have 1 as their inner product.

The second vector (S) corresponds to yellow-blue variation, accounting for changes in the correlated color temperature due to presence or absence of clouds or direct sunlight.

The third vector (S) corresponds to pink-green variation caused by the presence of water in the form of vapor and haze.