Singulaarses

Singulaarses is a neologism occasionally used in mathematical and scientific discourse to denote a collection or family of singular points within a system or function. The term highlights the collective structure of exceptional points rather than a single instance, and is most often encountered in informal discussions, lecture notes, or speculative papers. It is not a standard term in formal literature, and there is no universal definition.

Usage and scope: In mathematics, singulaarses can refer to the set of singularities of a complex function considered as a whole, such as the poles and essential singularities, or to a configuration of critical points in a dynamical system. In physics, it may be used to describe a cluster of singular regions in a spacetime model or field configuration, where conventional equations exhibit breakdowns or nonanalytic behavior. The term also appears in computational contexts to describe collections of points where numerical methods fail or lose precision.

Relation to established concepts: Singulaarses overlaps with, but is not interchangeable with, established terminology such as the set of singularities, singular set, pole set, or critical point set. When used, it typically requires clarification of the intended objects and their mathematical or physical properties.

See also: Singularity, Critical point, Pole, Essential singularity, Bifurcation, Singular set.

Note: The term is not universally accepted and should be defined explicitly when used in formal writing.