Obliquen

Obliquen is a term encountered in some informal or theoretical discussions as a concept related to obliquity in geometric or coordinate contexts. It is not an established or widely standardized term in mainstream mathematics or physics, and its exact definition can vary between sources.

In common informal usage, obliquen denotes either a class of skewed or oblique transformations between coordinate frames or a relational property describing directions in a plane where angles are considered in relation to an oblique reference system rather than a standard orthonormal basis. Some descriptions treat obliquen transformations as mappings that preserve certain oblique characteristics, such as area scaling or angular relationships, while allowing non-right angles between basis vectors. Because the term is not formalized, different authors may emphasize different aspects, such as skewness, angle distortion, or relative orientation of axes.

Etymologically, obliquen appears to be a hybrid coinage combining oblique and a suffix that evokes a classificatory or transformative sense. It has appeared sporadically in lecture notes, blog discussions, or collaborative notes in the 2020s, without consensus on a precise, universal definition.

Applications of the concept, where mentioned, tend to be pedagogical or exploratory rather than practical in formal theory. Obliquen is typically used to illustrate how coordinate systems can be skewed or oblique relative to standard references and to discuss the implications for angle measurement, projection, and visualization.

See also: oblique projection, oblique coordinate system, affine transformation, oblique angle.