Abstract The article presents a new approach to compactly describing a family of functions using a single formula that includes multiple ± signs, interpreted as discrete selection parameters. The proposed method allows both symmetric and asymmetric functions to be specified, forming a set of graphs without using traditional piecewise definitions and conditional operators. The main properties of the formula are considered, examples are given, and potential areas of application in mathematics, computational graphics, and data processing are discussed.
Ivan Isaiev (Thu,) studied this question.